ESTRUTURA DE CONCRETO ARMADO II
Marque a alternativa que apresenta como devemos proceder, em rotas acessíveis, com desníveis superiores a 5mm e inferiores a 20mm.
Desníveis superiores a 5 mm até 20 mm devem possuir inclinação máxima de 1:20 (5%).
Desníveis superiores a 5 mm até 20 mm devem possuir inclinação máxima de 1:10 (10%).
Desníveis superiores a 5 mm até 20 mm devem possuir inclinação máxima de 1:5 (20%).
Desníveis superiores a 5 mm até 20 mm devem possuir inclinação máxima de 1:2 (50%).
Desníveis superiores a 5 mm até 20 mm devem possuir inclinação máxima de 1:15 (6,67%).
Calcule os coeficientes de esbeltez para o pilar intermediário que tenha as seguintes propriedades:
Nk = 455,55 kN; Seção 14 x 35; lex =350 cm e ley = 550 cm
78,65 e 32,58
86,5 e 54,37
35 e 12,5
42,95 e 74,74
24,95 e 14,25
A carga (q) proveniente do empuxo exercido na parede de um reservatório paralelepipédico advém apenas do líquido armazenado. Deste modo, por se tratar de empuxo, a altura da parede é diretamente proporcional às tensões das quais a parede é submetida. Uma parede de reservatório paralelepipédico suspenso, de altura de 5,5 m e que foi dimensionada para resistir a um carregamento máximo de 50 KN/m², poderá ter qual altura máxima da lâmina d'água?
Considere o Peso específico da água como 9,81 KN/m³
4,95 m
5,45 m
5,50 m
5,10 m
5,29 m
Qual é o valor do momento fletor máximo de calculo uma marquise, feita com laje em balanço com vão efetivo de 1,80 m
Dados: regularização feita de argamassa de cimento e areia com espessura de 2,5 cm;
laje de concreto armado com 15 cm de espessura;
Reboco feito com argamassa de cal, cimento e areia com espessura de 4 cm;
impermeabilização, cujo peso específico é o mesmo do plástico em folhas, com espessura de 1 cm
Sabe-se ainda que esta marquise não tem acesso a pessoas
745,97 KN.cm/m
1302,97 KN.cm/m
932,97 KN.cm/m
302,97 KN.cm/m
1102,97 KN.cm/m
Em uma situação hipotética, se uma marquise feita com laje em balanço vier a cair de maneira repentina, sem aviso, podemos definir este comportamento da estrutura como sendo?
Frágil
Dúctil
Brusco
sem avisos
intermediário
Considerando o pilar de canto abaixo, podemos afirmar que as excentricidades iniciais na base, nos eixos x e y, são respectivamente:
Nk = 612,14 kN.
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)
3,27 cm e -6,53 cm
1,75 cm e -2,33 cm
2,45 cm e -3,27 cm
2,05 cm e -6,53 cm
3,27 cm e -2,66 cm
O que se pode dizer sobre o método do Pilar Padrão com rigidez aproximada
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção circular e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Calcule o momento fletor mínimo e a excentricidade mínima em cada seção do pilar , considere como sendo um pilar intermediário, dados
Concreto C20; Aço CA-50; d’ – 4 cm; Nk = 875,75 kN; Seção 16 x 50; lex = ley = 275 cm.
Mx = 4229,88 kN.cm; ex = 3,00 cm; My = 2876,32 kN.cm; ey = 2,04 cm;
Mx = 3862,05 kN.cm; ex = 2,95 cm; My = 2626,19 kN.cm; ey = 2,25 cm;
Mx = 1786,53 kN.cm; ex = 2,89 cm; My = 3678,15 kN.cm; ey = 2,45 cm;
Mx = 2791,72 kN.cm; ex = 1,98 cm; My = 4229,87 kN.cm; ey = 3,00 cm;
Mx = 3878,15 kN.cm; ex = 2,98 cm; My = 1786,53 kN.cm; ey = 3,06 cm;
Para a viga de 20cmx50cm, d'=4cm, Concreto C25, aço CA-50 e Momento Característico Atuante de 175kNm, calcule as armaduras de compressão?
Desníveis superiores a 5 mm até 20 mm devem possuir inclinação máxima de 1:20 (5%).
Desníveis superiores a 5 mm até 20 mm devem possuir inclinação máxima de 1:10 (10%).
Desníveis superiores a 5 mm até 20 mm devem possuir inclinação máxima de 1:5 (20%).
Desníveis superiores a 5 mm até 20 mm devem possuir inclinação máxima de 1:2 (50%).
Desníveis superiores a 5 mm até 20 mm devem possuir inclinação máxima de 1:15 (6,67%).
Calcule os coeficientes de esbeltez para o pilar intermediário que tenha as seguintes propriedades:
Nk = 455,55 kN; Seção 14 x 35; lex =350 cm e ley = 550 cm
78,65 e 32,58
86,5 e 54,37
35 e 12,5
42,95 e 74,74
24,95 e 14,25
A carga (q) proveniente do empuxo exercido na parede de um reservatório paralelepipédico advém apenas do líquido armazenado. Deste modo, por se tratar de empuxo, a altura da parede é diretamente proporcional às tensões das quais a parede é submetida. Uma parede de reservatório paralelepipédico suspenso, de altura de 5,5 m e que foi dimensionada para resistir a um carregamento máximo de 50 KN/m², poderá ter qual altura máxima da lâmina d'água?
Considere o Peso específico da água como 9,81 KN/m³
4,95 m
5,45 m
5,50 m
5,10 m
5,29 m
Qual é o valor do momento fletor máximo de calculo uma marquise, feita com laje em balanço com vão efetivo de 1,80 m
Dados: regularização feita de argamassa de cimento e areia com espessura de 2,5 cm;
laje de concreto armado com 15 cm de espessura;
Reboco feito com argamassa de cal, cimento e areia com espessura de 4 cm;
impermeabilização, cujo peso específico é o mesmo do plástico em folhas, com espessura de 1 cm
Sabe-se ainda que esta marquise não tem acesso a pessoas
745,97 KN.cm/m
1302,97 KN.cm/m
932,97 KN.cm/m
302,97 KN.cm/m
1102,97 KN.cm/m
Em uma situação hipotética, se uma marquise feita com laje em balanço vier a cair de maneira repentina, sem aviso, podemos definir este comportamento da estrutura como sendo?
Frágil
Dúctil
Brusco
sem avisos
intermediário
Considerando o pilar de canto abaixo, podemos afirmar que as excentricidades iniciais na base, nos eixos x e y, são respectivamente:
Nk = 612,14 kN.
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)
3,27 cm e -6,53 cm
1,75 cm e -2,33 cm
2,45 cm e -3,27 cm
2,05 cm e -6,53 cm
3,27 cm e -2,66 cm
O que se pode dizer sobre o método do Pilar Padrão com rigidez aproximada
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção circular e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Calcule o momento fletor mínimo e a excentricidade mínima em cada seção do pilar , considere como sendo um pilar intermediário, dados
Concreto C20; Aço CA-50; d’ – 4 cm; Nk = 875,75 kN; Seção 16 x 50; lex = ley = 275 cm.
Mx = 4229,88 kN.cm; ex = 3,00 cm; My = 2876,32 kN.cm; ey = 2,04 cm;
Mx = 3862,05 kN.cm; ex = 2,95 cm; My = 2626,19 kN.cm; ey = 2,25 cm;
Mx = 1786,53 kN.cm; ex = 2,89 cm; My = 3678,15 kN.cm; ey = 2,45 cm;
Mx = 2791,72 kN.cm; ex = 1,98 cm; My = 4229,87 kN.cm; ey = 3,00 cm;
Mx = 3878,15 kN.cm; ex = 2,98 cm; My = 1786,53 kN.cm; ey = 3,06 cm;
Para a viga de 20cmx50cm, d'=4cm, Concreto C25, aço CA-50 e Momento Característico Atuante de 175kNm, calcule as armaduras de compressão?
78,65 e 32,58
86,5 e 54,37
35 e 12,5
42,95 e 74,74
24,95 e 14,25
A carga (q) proveniente do empuxo exercido na parede de um reservatório paralelepipédico advém apenas do líquido armazenado. Deste modo, por se tratar de empuxo, a altura da parede é diretamente proporcional às tensões das quais a parede é submetida. Uma parede de reservatório paralelepipédico suspenso, de altura de 5,5 m e que foi dimensionada para resistir a um carregamento máximo de 50 KN/m², poderá ter qual altura máxima da lâmina d'água?
Considere o Peso específico da água como 9,81 KN/m³
4,95 m
5,45 m
5,50 m
5,10 m
5,29 m
Qual é o valor do momento fletor máximo de calculo uma marquise, feita com laje em balanço com vão efetivo de 1,80 m
Dados: regularização feita de argamassa de cimento e areia com espessura de 2,5 cm;
laje de concreto armado com 15 cm de espessura;
Reboco feito com argamassa de cal, cimento e areia com espessura de 4 cm;
impermeabilização, cujo peso específico é o mesmo do plástico em folhas, com espessura de 1 cm
Sabe-se ainda que esta marquise não tem acesso a pessoas
745,97 KN.cm/m
1302,97 KN.cm/m
932,97 KN.cm/m
302,97 KN.cm/m
1102,97 KN.cm/m
Em uma situação hipotética, se uma marquise feita com laje em balanço vier a cair de maneira repentina, sem aviso, podemos definir este comportamento da estrutura como sendo?
Frágil
Dúctil
Brusco
sem avisos
intermediário
Considerando o pilar de canto abaixo, podemos afirmar que as excentricidades iniciais na base, nos eixos x e y, são respectivamente:
Nk = 612,14 kN.
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)
3,27 cm e -6,53 cm
1,75 cm e -2,33 cm
2,45 cm e -3,27 cm
2,05 cm e -6,53 cm
3,27 cm e -2,66 cm
O que se pode dizer sobre o método do Pilar Padrão com rigidez aproximada
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção circular e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Calcule o momento fletor mínimo e a excentricidade mínima em cada seção do pilar , considere como sendo um pilar intermediário, dados
Concreto C20; Aço CA-50; d’ – 4 cm; Nk = 875,75 kN; Seção 16 x 50; lex = ley = 275 cm.
Mx = 4229,88 kN.cm; ex = 3,00 cm; My = 2876,32 kN.cm; ey = 2,04 cm;
Mx = 3862,05 kN.cm; ex = 2,95 cm; My = 2626,19 kN.cm; ey = 2,25 cm;
Mx = 1786,53 kN.cm; ex = 2,89 cm; My = 3678,15 kN.cm; ey = 2,45 cm;
Mx = 2791,72 kN.cm; ex = 1,98 cm; My = 4229,87 kN.cm; ey = 3,00 cm;
Mx = 3878,15 kN.cm; ex = 2,98 cm; My = 1786,53 kN.cm; ey = 3,06 cm;
Para a viga de 20cmx50cm, d'=4cm, Concreto C25, aço CA-50 e Momento Característico Atuante de 175kNm, calcule as armaduras de compressão?
4,95 m
5,45 m
5,50 m
5,10 m
5,29 m
Qual é o valor do momento fletor máximo de calculo uma marquise, feita com laje em balanço com vão efetivo de 1,80 m
Dados: regularização feita de argamassa de cimento e areia com espessura de 2,5 cm;
laje de concreto armado com 15 cm de espessura;
Reboco feito com argamassa de cal, cimento e areia com espessura de 4 cm;
impermeabilização, cujo peso específico é o mesmo do plástico em folhas, com espessura de 1 cm
Sabe-se ainda que esta marquise não tem acesso a pessoas
745,97 KN.cm/m
1302,97 KN.cm/m
932,97 KN.cm/m
302,97 KN.cm/m
1102,97 KN.cm/m
Em uma situação hipotética, se uma marquise feita com laje em balanço vier a cair de maneira repentina, sem aviso, podemos definir este comportamento da estrutura como sendo?
Frágil
Dúctil
Brusco
sem avisos
intermediário
Considerando o pilar de canto abaixo, podemos afirmar que as excentricidades iniciais na base, nos eixos x e y, são respectivamente:
Nk = 612,14 kN.
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)
3,27 cm e -6,53 cm
1,75 cm e -2,33 cm
2,45 cm e -3,27 cm
2,05 cm e -6,53 cm
3,27 cm e -2,66 cm
O que se pode dizer sobre o método do Pilar Padrão com rigidez aproximada
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção circular e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Calcule o momento fletor mínimo e a excentricidade mínima em cada seção do pilar , considere como sendo um pilar intermediário, dados
Concreto C20; Aço CA-50; d’ – 4 cm; Nk = 875,75 kN; Seção 16 x 50; lex = ley = 275 cm.
Mx = 4229,88 kN.cm; ex = 3,00 cm; My = 2876,32 kN.cm; ey = 2,04 cm;
Mx = 3862,05 kN.cm; ex = 2,95 cm; My = 2626,19 kN.cm; ey = 2,25 cm;
Mx = 1786,53 kN.cm; ex = 2,89 cm; My = 3678,15 kN.cm; ey = 2,45 cm;
Mx = 2791,72 kN.cm; ex = 1,98 cm; My = 4229,87 kN.cm; ey = 3,00 cm;
Mx = 3878,15 kN.cm; ex = 2,98 cm; My = 1786,53 kN.cm; ey = 3,06 cm;
Para a viga de 20cmx50cm, d'=4cm, Concreto C25, aço CA-50 e Momento Característico Atuante de 175kNm, calcule as armaduras de compressão?
745,97 KN.cm/m
1302,97 KN.cm/m
932,97 KN.cm/m
302,97 KN.cm/m
1102,97 KN.cm/m
Em uma situação hipotética, se uma marquise feita com laje em balanço vier a cair de maneira repentina, sem aviso, podemos definir este comportamento da estrutura como sendo?
Frágil
Dúctil
Brusco
sem avisos
intermediário
Considerando o pilar de canto abaixo, podemos afirmar que as excentricidades iniciais na base, nos eixos x e y, são respectivamente:
Nk = 612,14 kN.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYMAAAD+CAIAAABXzf7uAAAgAElEQVR4nOydZUAUTxvAB46WDkkRFBHxDyZiN3YXYqJiISplYKLYhaJiJ4iFgdg0iHRKS3d3Hnf3vB8OkNcADhbuDub3SfdmZp9dbn83O4kAg8FgmA1idgAYDAaDTYTBYFgAbCIMBsN8sIkwGAzzwSbCYDDMB5sIg8Ewn+5sory8vJycHGZHgcFgWqfbmqiysnL9+vXW1tbMDgSDwbROtzWRh4cHQmjcuHH5+fnMjgWDwbRC9zQRmUxeunQpQoiLi+vOnTvMDgeDwbRC9zSRi4sLPz8/QoheLcrNzWV2RBgMpiW6oYmoVOqCBQtQIxwcHA8fPmR2UBgMpiW6oYnevXsnIiKCmqGlpVVYWMjsuDAYzD9hJxNVlxWkpRdU19OajtRWFGWk5VfV/TpSXV09Z84c9Ae4tQiDYWXYyES0DI+bq8ZMP/kxlkw/UJtsd2TuWP3L4YXUpkR2dnYSEhLa2toLFy4UFBQcNGjQ8uXL+/btO2TIENxahMGwLGxkIqiJf7aoD+o11zqxEgCgIvzxbAGksulOel1DgtraWnd39/fv3ycnJ8fHxysqKm7fvr2srCw8PPzNmzdxcXFMDB6DwbQAO5kIoMh+93gS1/CboWUAND9bPS6kfvRdStPHVOqvylFubq6iouLOnTubjpDJ5K6MFYPBtB32MhEUfLYcJoxGHvtGrki5OKsXl/Y293+MW8zIyFBUVNyxY0fXBojBYNoDm5kIqoONJ8kLDTB4+8V2DK/QzL2vy/+REJsIg2Ej2M1EQPU/vUihl+CwyWokmQkn3Uv/lQ6bCINhI9jORFCf+GhaXx6EkNLMvaG1/0yGTYTBsBHsZyKAovsr+iMOoQUn/an/ToRNhMGwEexoInA31xKW07aNbqkvDJuo4zTvi8QwCo1Gaz0RphH2MlFdcV5mXODTFaoSg5Zda3kNNGyitpOenn7jxo2rV6/m5OT4+PicPn3ax8fHxcXlwIED165dy8jICAoKOn36tJOTU23tv9+Heyr19fUODg4XLlyIiIhITEy0trZ++PBhUlKSpaXlsWPHAgICsrKybG1tb926lZ2dzexgWRf2MlGR04UtgwQ5RAfPuxNS3HJSbKK2ExkZuXv37t27dyckJDx58kRfX//Fixfr16/n5OQ0MjIKDw9/9+7d+vXrr169WlVVxexgWY6amhpLS0sDAwN3d/eAgIAtW7YcPnzY2dkZIaStrf3u3buIiAgTE5N9+/YlJCQwO1jWhb1MVJ8S+PH21VsfQlpfExabqINs3bpVXl6+rq6u9aSYP/D09OzVq9fr16+ZHQjbwF4mYgD2MxG1JPTDwzPHDh0+fvGFT0J1s0/yotxvnz16yPKs3Zfw0obGhxKvJ9ev3HUt+P+2MlpFlout5fE7H1Mqmx2ty3B9cuHic/8iRgaZb926VU5OrqCgoL3X06Px8PDo1avX48ePmR0I24BNxBpUx9/YNkFeRkZlyMhh6v2l5ZVXWDnnUwCAlvDh9LR+cr37/zfkv37SMn1n73uSQwOApENTB8oOMYv6/7claqbfviEI8fUzvBv0qzJT4WOiIyKy4FJcJbQdFjZR5Q+3Nx+//Wy6QFp5yuc7lpvXrd6w49Bj11j6VdYle1ubbL38Kbrmt8yxz823bbe859v8zpUkuh4x3HPfNZmoELGJGAWbiBWgRdvqiiI03epjdklZaUn8bQMtId7BNmHllJIwi7F8QmMMvySWlJakPTUbzSmudcq9HCDtwEQVqcHGPxrlUltRUlpFrs/w3TuEAyGE+i9xiGr8rMJ719Re/HMuxFUC0Ci1NXUAAPUVuZmZ+aUNz2ltaV5mVm5Zs1cxljVRhuupkaJi03fYlwEAAK066foGLWEJpTFTZ0we2V+k14Ct9yOoADV+N6YLo6mnPpX9f/YCNxMZToRkxl75/qupMcvHuj+SXX3+O1FBYhMxCjYRK1AfcGuP3hKTbwUNr14Vn/b9J8qz7u3PzO+2Gqi3/rUg+vGaeMeZQsKzD3ysh3zLKQNlNE1jKQDU4i83LdatNbYPLa7L9jcdLKg8SFVFhn/gcutk+utYhY+xjrDQfOskMtRlep3YtffS1Vundi8d/Z/aqAU7H7tHhL63XjdztLra8EWGZ73TG94LWdNENT/frR/MhRDnVEN7+kSfjE+m8oLSCy/41gFAWfihqYpiAzf610J94K0ZImj66UYTVRemp2eXVFIKPMyURBBCSHHGkbDGIfpZ3y6rILk1F/wAoKq0uLSqHqA6PSYs9EdiGRUAgFaa8SM0JCq5oI3jGrCJGAWbiAUp/2ihI0QaeDUk/YejET+39tF3jdN884P2DeZSX22dRSs8MV1NXutgUnXel1PzJTh5hq+1+VFMhbzvRko84w3PPLTWl+CQWHMrnAoAld+MdYSF5l9OpUFx0I2hCCGRQQu37D961HiyUi9hSeVxk2cY7D9yxGhebw7S8C3P6I8uK5qoOMxqsRIiSUlwi8wwopuo9v12zd79pr5s7MNIfawnK6t0MIRMCbkzUwzpnHUhA1TGvN69fOr87VciS+tLPU37K0uqzZiuwC02/6w7/WKzvl1R5VRYZx0MUGp/cNuqdfuO7V6hrd5XTvm/xXsfeH++b7RwzIA+8kpDdPY8blNzGzYRo2ATsRp1Yc/NBggh9TX3CmvJQXeWksQmnnNvfMMoibCaJCC36HgMOf/sbA15tdXHds+UExbVMX6SXgUAQMv0MerLMczgTn5lysmZvUl9ZjxJAiD7N5moJOTOcIQG6p5NAQAA/1MjEbeErk0kAAAk7x8hK6+xNaIegAVNRMt4ajKBm6f/uiMn5vTuPWX743IAgJxL05SVNTaFNY5zKvU73F9eZoV9Fjns3iwxNPeyZ2a08zoNMSQ19uT7qEqAoq+GCv1UDB573VmnjiRGX/fPA4DcBhOFAGRajJZGiEtL1+K+nf25DWP4kZC8staGY7fs7K6vGd0bic9zjC77d5QNYBMxCjYRS1H27f7OgSLcSnP2fisgA1D8bizhEpt4/v9MxC+76Fg0ufDSvME8JF5uhLj/W/0xr+FzKt1E+pdzAaqDbLQFSQP17mWXhVjMFmkwUbDtYCSy4oQLDQCAGn5rGqnPyJN+9F/5vKvT+ipr6tPbulnMRDV+d7YqCPSaf+JLYf73VbLiU3Y41AEALfHwWCVlbdOYxnpKWegFdRn5+Tbx1WH350lzjdFbNWN4XyGFebf9cumvvrmfDeUU5De+K6pJejFPGYlNOR5XDSVB1wc2mCjr4HhFYcmJLzIAACDaZqw8Ep53g17lCru6XhrJnXJJaTVcbCJGwSZiGeoyXx1fIsnfa8gKK788CgAA1IfaG/Dyjrb60KiDgpADQ7hVV55PoxWdn6XKwyM8dPJkOWH51Rc96a07TSbKAACo8Twzh4dvwK6LV4wXSovSTRR0XZ1TRu+sDwAAUEJsp3IpjzwZQG+pzrk8VVF5yIbgrjURlUqtqalpaWYJrT7N3XqSKElKx9wru7g42nGOmPCYdTappVXk+hSrCUrKWiZNM3/KQs4NkpGbb5NQE/ZoiSIHB0IIIc1tDk3VmLzPhnIKcqufZQNQQ2/ry3LwLrnqkxR4ZzBXn4Y60fj+cprGDWr7eWvKIC7No570hv2YO4YDkPSxL0mtXlT7TEQmk3vsKHZsItaAnP1s30xh4b6LLV/nNTuc6X5OFclvvRtF/y8t/dNiYb4pu1/WQMGxqQNlh5hF5/68vb4fSWSCjV8RNL2d6V9Op2coibScLi8mp6A8QEx++dVfJjrjDQANJlIaecKf/u1njony8vJsbGzi4+P/maIu+aa+BEKIS1h+4CBVZQVpPsTBwyOosujYt7S8R0tUlTXWBzU+vyU++5XkZVY+y60Pe7BADokMXqw/a7B47+HHv2Q2nI5uIoc0AID6n5eWDxLoPW7vhcOD+ZTWW4cCZFiMV5EfuT+eXmD8jclqXEMsPejdkFG3tqkgmeNfW+/sb5+JPDw8bG1te+biothErAD1p8NORW4kOmb7E7dvXh5uri5fv7p5xxbWUfJ8d2nyKkzZ8y2rGsgFn07N5+dV2/M2GyDj0GRVmSF7kgCqEhwXy/FITjoUVQ2Q72fUFw1tMhFAXuDNSb0RQkh+zY00GpQEXR/EId3cRKS+I5qZqI+SZlebKCkpafHixW5ubv9MUZ/vbWdhsHnzpo0b1q9ft3rpdEU+HumB41cffhCZX+dvOVZCacKjtIa0CTcWS0spH4+sp4bcnSmGZl32KisM2KQmIDJ8u2cOFQDyPjUzEUBN3JNFavwkaVVxrn4GVxpNNGJfXDMTaR517xoT3b9/f/ny5eXl/1r+rzuDTcQCUH8enqaIEELc/HzcXCQSJycHBwe31MZXSQC1Ua/M1QT4FEbMXDx3bG8ukvaOm4nVAPDTbJScgPL2iCoAIEc+2CKO0ISjrgVpvlul0ADds6m/Si/3uLBUHCHuhZdTaFDsb90HCSw85g4AAJTAy9pIQu2wL/2xyz6rLSbZf2VA15qouLj4+fPnKSkpbc1Q5rNMQmTqLkf6/wr8zwwW7qW97UFsYVXej7frh4hKDDOOrANy4C0dYTT9rEs9QPb7PQO4uEebPs8FKP26XVpWWu9Jo7qAFnl/izxCCPUxuBIGkLF/bD+ZYXsaTWQ7UZXjvyNudBP9uLmlH5I69qWzTBQSEvLy5UtcJ+pWsJOJaMURvm7vnJ2d3rx+9QunwPQyAABqRbz38wuHjbfv3Gdt75JcTG9PqYz77vHVK7qc3qBUmxvo/uatz8+KiuJo9/fe4cnNJ4vQyjL8Pzp/DE6tBiCXpHg4fw35WUT/pDTV772rd0IJvczaZD9XN6/wUipAF5qouro6Kiqq7RWB6tQPC8SFJ2x92ND0QylyOrhQnk9IbeTYEQMk+JSmnPqSCQDVfrY6Imja6U/lAEAteGY0mqOX2vHPSXlepvLyMs1MBEBOvbFGBSG5jZcbTCQ7bG8zE3E2mSjq5tZ+qHfnmSgjIyM2NpahLN0GbCK2gdq1y910mYnS09O3bdvm5+fXxvRUckVabExyVsmvJm5ycYyv8+2LZ6zvOPrF59PlTK0qSo2JSimooP+XUpkbFRaekldZV5UbHx+XUfp/9Q5yaWpUVFxmYQ0AOTc5IS4xt5Z+t2uLkhOifuZVNqi6OCshKi6/ovVZwe0z0YsXL3bu3NkzFzzotiYqLS1VUlIyMTFhdiDsys6dOxUUFLqgK6esrGz//v1BQUGdfaKuJCgoSFBQ0NHRkaFcrq6uFhYW1dXVrSftdrRkosrKypSUlMTExKS/kZycnJaWlpKS0vxgYmJiamoqhUL5V5m5ubnv3r1zc3Pz6ky8vb0dHR2lpaUXL17s7e3dqefy9PT08PCIj4/vghUOq6qq3r9///79ex8fn069KG9v73nz5omJiTk5OXX2Dfz06ZO9vT2jq4glJye/fPnSxcWl8VZ4e/v4+HRyqG3n/PnzvLy8e/fuZejuPX369OPHjz1zsceWTOTv729oaLh+/fqNf2BgYGBoaLhmzZotW7Zs2bKl6fj69etNTEyKior+Vaa5uTl9o3qOhqEenULzwjk5OTvvRHRIJNLYsWPLylofettBIiMj6Wfk5ubu1BtIIpGa/t2pJ6IjKyvr7OzM0K2wtramx8nNzd3Z4THEb7er+Z1sS8YFCxbk5eW1fv3djpZMlJOT4+Xl5ebm5vH/eHp6fv/+3cjISEBAYOLEiZ8/f/by8qJ/5Obm5uvrW1NT868yd+/ezc/Pf/z48fudzMWLFyUkJKZNm9bZJ7p///7MmTN5eHhyclpfv62DFBQUTJgwQVRU9Pjx4w8ePOi8K3rw4MHkyZNFRUVtbGw67yx0zpw5M2rUKCcnJ4ZuRUREhJqamoCAwOXLlzv1VrSPvXv38vLybt68maHYNm3aNGfOHGwiBnj//n2fPn0QQoKCgkeOHGl7xkuXLomLi2dlZbXvvG2nsrJSSUnJzMyss08EAMeOHRMWFu4CEwHAq1eveHl5379/39kn2r17t4KCQgsv2kRBpVIdHBwY6MVv5Pbt2yw7oyIkJERQUJDRNRujo6OfPn1aX1/fSVGxMgybqK6u7vHjx/z8/M0rloaGhiUlJW3Jfu7cOTExsejoaMZDZYyu7Dvbv39/l5koJydn+PDh06dP7+yXwa7sxY+Ojm7H5dTX18+fP19MTCwmJqYzAusI7es7y8zMjI2Nxe1EbSI3N9fMzExXV1dXV1dJSWnGjBmrV6/esGGDp6dnW7JjE3Wcs2fPIoS8vLw69SxdZqLU1NSNGzf6+vq2I29QUJCkpOSyZctYrR7RPhM9ffp069atlZWMrK3ZXWh/L35VVdXatWsZ/QJhE3Wc2NjYvn376uvrd+qrU1eOJzI0NGz7eKLfOH78OCcnp52dHbFRdZD2mejly5e7du3C44kYo7CwUE9Pz93dnaFc2ESEsG3bNiEhoZ8/f3beKbp4jHUb3+7/pKysbMSIEYMGDWpHS1Pn0T4TZWdnR0dH98wNL9tvooKCAj09vZYmLv4NbCJCcHd3FxcXt7S07LxTsNj6RC3h4uLCwcGxe/duZgfyC7w+EaNgExFA15uIQqHMnDmzX79+ndduzUYmAoBdu3Zxc3N/+fKF2YE0gE3EKNhEBND1JgKAJ0+eCAkJ3b17t5PKZy8TJSUlqaqqjhs3rrCwkNmxAGATMQ42EQEwxUSVlZUDBw6cOnVqJ00NYy8TAcCTJ0+4ublPnTrF7EAAsIkYB5uIAJhiIgA4e/asiIjIp0+fOqNwtjNRdXX1ypUrhYWFw8LCmB0LNhHDYBMRALNMlJycLCoqqq+v3xmFs52JAODHjx/S0tKzZ89m+mJj2ESMgk1EAMwyEY1G2759u4yMTEREBOGFs6OJAODcuXNcXFy3bt1ibhjYRIyCTUQAzDIRAPj5+ZFIpOPHjxNeMpuaqKqqavz48UpKSomJiUwMA5uIUbCJCICJJqqoqFi4cKG6unpGRgaxJbOpiQDAx8eHl5fXwMCAie9o2ESMgk1EAEw0EQA8e/YMIWRvb09ssexrIiqVun//fm5ubkZXGvkLldF2l46eexXJ6CqK2ESMgk1EAMw1UWFhoZaW1qRJk1qcOUmrqSgpKqmsb/M0b/Y1EQDk5uZqaGgMGTKko3+UvNezVbhl1z4rYnB6PDYRo2ATEQBzTQQAZ86c4eDgaHF2fumrg+tnLzsVVdbWR4qtTQQAjo6OCKHDhw93qJSyzyuGS6oZvmN0Tio2EaNgExEA000UGxurpKS0Zs2afy9tU2CzQE1Qbq1vYVtnV7K7ierr6/X19fn4+Bif5U+rK89LS09Pz8rODrs/d7BY/zW3fqRlZ2VmpGcWVNW26QZiEzEKNhEBMN1EAGBgYCAiIvLv2fn1j9aOkh1oFN3mad7sbiIAiI6OVlJSmjx5MoPrbNQF31osJS4uLiEpKSbEzcXBwSskJi4pIS4q1m/VK9/SthSBTcQo2EQEwAom+vbtm7i4uIWFRfOD1QWxbx8+fPjIzt7+2nptJRGZyUeuP7C3e/zo4ZPvsdktL27UDUwEANevX+fg4Lh8+TIjmag5oY7WZ0+fPXfxwlF9dXkBsVHrjp09f/7MiZPXXsdntmluDTYRo2ATEQArmAgApk6dqqam1nxjlbzQ26MlhHoJCgkLC/JykjgQV69eQsJCvfgEFIzvebW8f2D3MFFtbe2MGTPk5eXj4uLak7/KZeUIqUFGH1rfa/H/wSZiFGwiAmARE7148UJAQKD58OL6yryo4AA//4DAwK97p6pJyC28/9UvIMDP93tISn55y23X3cNEABAUFCQkJLRq1ar2LHGZ77ToP5F+Bi+Lcd9ZJ4NNRAAsYqKysjJVVdVp06bV1f35E157f9VI6QHbI9r8495tTAQAlpaWJBLp6dOnDOcs9t63csrSk26taPsPsIkYBZuIAFjERABw4cIFAQGBv83OL7y+bIiE8ka/op7Sd9acvLy8ESNGaGpqpqamMpaTRq4oLS6trGN0tw1sIkbBJiIA1jFRcnKysLCwgYHBH3tdVPo8OLPfyiG1qqeMJ/qNT58+8fPzm5ubd80q0dhEjIJNRACsYyIymbx79+7evXuHh4d3sKhuZiIymWxkZMTFxeXh4dEFp8MmYhRsIgJgHRNB4/zPkydPdrCcbmYiAEhLS1NRUdHW1i4vL+/sc2ETMQo2EQGwlIlqamoWL17cr1+/zMzMjpTT/UwEAPfv3yeRSGfOnOnsE2ETMQo2EQGwlIkAwMHBASHUwcegW5qITCYvWrRIQkKi42+vLYNNxCjYRATAaibKz88fNWrUuHHjOrKbaLc0EQBERkaKi4svXLjwb2MdCAObiFGwiQiA1UwEACdOnODm5vb09Gx3Cd3VRABw9uxZDg6OztugCbCJGAebiABY0EQpKSnKysorVqxodwnd2EQVFRWjR49WVlZmeHhRm8EmYhRsIgJgQRMBgIGBgZSUVDvnW3VrEwGAp6cnNze3oaFhJ60wi03EKNhEBMCaJgoICBAREdm/f3/7sndvE1Gp1D179vDy8n78+LEzyscmYhRsIgJgTRNRqdTp06cPHjy4fTbp3iYCgLS0NE1NzWHDhuXl5RFeODYRo2ATEQBrmggAHB0dubm527f5V7c3EQA8e/aMRCJ1dIXZv4FNxCjYRATAsiYqLS1VVVWdOXNmRUUFo3l7gomoVOqqVauEhIQCAgKILRmbiFGwiQiAZU1Eo9FsbGz4+Pg+fPjAaN6eYCIASEhIkJeX19HRqampIbBYbCJGwSYiAJY1EQAkJCRIS0tv2rSJ0U6iHmIiALh69SpC6Nq1awSWiU3EKNhEBMDKJqJSqcbGxr169YqIiGAoY88xUVVV1bRp05SUlKKioogqE5uIUbCJCICVTQQAXl5evLy8VlZW/96D6C/0HBMBQEBAgICAgL6+/h/rOrUTbCJGwSYiABY3UXV19dKlS5WUlBiKsEeZiEajHT16FCHk6OhISIHYRIyCTUQALG4iALC3t+fh4WHowehRJgKAvLy8YcOGqaur5+bmdrw0bCJGwSYiANY3UWlp6ahRo7S0tNrebt3TTAQATk5OPDw8e/bsYeg19q9gEzEKNhEBsL6JAODUqVOCgoKurq5tTN8DTUQmk7ds2cLLy+vt7d3BorCJGAWbiADYwkTp6ekKCgq6urptTN8DTQQAycnJSkpKHVzaCbCJGAebiADYwkQAsHnzZllZ2Tbe/J5pIgC4e/cuFxfX2bNnO1IINhGjYBMRALuYKDAwUEBAYN++fW1J3GNNVF9fP3v2bGlp6R8/frS7EGwiRsEmIgB2MVF9fb2Ojo6GhkZWVlariXusiQAgLCxMWFh4xYoV7X5HwyZiFGwiAmAXEwGAk5MTJydnW2bn92QTAcCZM2e4uLjs7Ozalx2biFGwiQiAjUyUn58/ZMgQHR2dsrKyllP2cBMVFhZOmDBBRUUlOTm5HdmxiRgFm4gA2MhEAHDlyhWE0JcvX1pO1sNNBAAuLi68vLxGRkbtyItNxCjYRATAXiZKSEiQlZXduHFjy9vsYBMBgLGxMScn59evXxnNiE3EKNhEBMBeJqJSqSYmJkJCQi1PPccmAoC0tDR1dfXhw4eXlpYylBGbiFGwiQiAvUwEAF5eXqKioseOHWthWgM2EZ0nT55wcnIePXqUoVzYRIyCTUQAbGci+qbMLYsGm4gOhUJZvny5pKSkv79/23NhEzEKNhEBsJ2JAMDBwUFAQKCFfVCxiZqIi4sTFxefN29e2zewxiZiFGwiAmBHE1VUVAwbNmz06NH/WhsMm6g5NjY2CKG275KCTcQo2EQEwI4mAoDTp0+LiIj8qzsfm6g5ZWVlU6ZMUVZWTkxMbEt6bCJGwSYiADY1UWZmpqys7L9m52MT/YaPj4+wsLCBgUFbdgHBJmIUbCICYFMTAcC2bdvk5OQiIyP//Aib6DcoFMqBAwe4uLjevn3bamJsIkbBJiIA9jVRaGgoFxfXgQMH/vwIm+hPcnNzhw0bpqamlp+f33JKbCJGQXVVleXlFRUVFRUV5RUV1WQqtemzmuLs5KTkrIK/bx+KTdQE+5qopqZm/vz5gwcPTk9P/+0jbKK/4ujoyMfHt3fv3paTYRMxCjqyc+2S+XTmzluw9VVENgAAtSLq3fk1U4erqg7UGL3o8D33nD+WP8YmaoJ9TQQAb968QQjdu3fvt+PYRP9i/fr1goKC3759ayENNhGjIBle1Gfk5FmzZs3Q0dGZof88LBeAlu19cZiogJrO9nMXz5suG87NobLTLu630bjYRE0QbqLv379/+vSJqNJapqCgYPjw4dOmTfttQgPhJvL09Gx12i1bkJSUpKCgMG3atBbWMyDcRDk5OQ4ODoxOOmEjkKzosLtRRbW1tdVVlRUVVXUUgNrsR5uUOVWWv8kGAICqYJNhIn1nHor9/1Fd2ERNEG4iV1dXTU3NRYsWdc2je+XKFU5Ozt/ORbiJXrx4oa6uvmrVKi8vL6LKZBa3b99GCF2+fPlfCQg3UW5u7vjx46dMmXL37t22dN6xHUhMaYNLTFxIQFBsRoPgqXn+xv04NVdfzGxIU+16RJNr0JxHSf+Xky1MtGvXrs4+EQAcOnRIRESkuLiYwDK1tLQQQlJSUkuWLHFzc2N0V3uGiIuLU1ZWXrt2bfMxxISbqLy8/L///kMIycrK6unp+fr6UigUogrvYqqqqubMmSMnJxceHv7XBJ3xdrZnzx6EED8//4QJE+7fv19R8fcGXDYFIdRv1LBhmuoD5GQHrzr5oaQe6lM/LBbpNXWHXXlDmlr/m/O5eo8/61XZPCeLmyg9Pb1Pnz4bNmzIz8/P60zy8/N37NghKCj448cPososKCjQ1dVFjQgJCS1evNjV1bXzKuc7d+7k5eWNiYlpOtKqicrLy3Nzcxm6UY9ezlMAACAASURBVLNmzWq6KBERkVWrVvn6+ra6ZhtrEhQUxM/Pv2rVqr8OUm/VRHV1dfn5+W2/gfn5+devX2+6e7y8vNra2o8fP87Nze347mysABowaYe9e3h8hJu1/pheXMoWn5LLUj7MERGdYfKiuiFNXdA9XR7R0VZf/u83n8VNlJSUJC4ujhAaMGBAv85kwIABfHx8CKG+ffv279+fkDL79+8vJiaG/mDRokVtHOPLKD4+PpKSkhYWFk1HWjYRjUYzNzfv06ePsrJyGy9KRUVFWFj4z4tau3ZtRkZGZ1xUZ2NlZYUQevbs2Z8ftWoiZ2dnVVVVJSWltn8l5OTk/rx7gwcP9vDw6AYyQjF5je+c2W+WaXArbn2eFOuiKyk0zci+sfJX639rIbfkuDMe5c1zsriJSkpKTp8+bWBgoN/JGBgYDB48mEQi6erqbtq0iagyNTQ0/vzO7d+/v5NuHY1Gmz9/vqKiYmFhIf1IyyaiUqk3b97csGEDQxc1YMCA3y5q2LBhx44d6yS9djY5OTljx44dMGDAnzsUtGoiX1/fjRs3MnT3dHR0frt7srKyGzZs6CYm+lWzrP62bZKk1JJ7ySlBZgP4Rq670rg9eJX7KS0OFZ1b0f/3Vs/iJupKDh8+LCgo2MG9+n5jw4YNTV84NTW1U6dONX916gyePXsmJCR08+ZN+n87oxd/0aJFTRc1dOjQS5cusamDmvj06RM/P/+fK8x2RjvR8+fPm+6epKSkkZGRj48PgeUzF3TxG72HDMjhN6f34dQ67lFXV/BonRz/yA1f6V/C2qSzU0R7T9jh9/8N9thETVhYWAgLC+fm5raetG2UlJRoamoihJSUlE6fPh0bG0tUyS1QU1MzZMiQptn5hJsoPT1dRUWFLtbLly///PmTqJKZCI1GMzQ0FBAQ+G2FWcJNVFdXt2XLFnr7mpGRkb+/P7XZIORuAOo1ZM1tZ2/fT/e2TlISUl705EcZACS8P6zKzzti1cl3Hq63zHR68cmvuuD7W7scNlETndGLr6WldejQofZtLNFuzp8/LyIi8uHDB+gEE718+XLEiBGnT59m01ahf5GZmamsrKytrV1e/qv5ojN68SdPnqyvrx8UFFRbW0tUsawDWjNxiPogNTX1wZpT19z0TGs4TCn4fNFgtLqa2sCBaoM0Fu9/nPTHCAZsoiYIN1FERARTqgyZmZkSEhJr1qwBgO3btxNrorCwMHZ/F/sXjx8/5uTktLKyajpCuIny8vICAwPZd9xDqyCglCb9CAmJSi37oy+ypjA1PCg4PvPvnazYRE2w9WyP5lCp1F27dsnIyCQlJZmZmeHZHm2krq5u8eLFvXv3DgkJoR/Bsz0YpdvOxe9Kuo2JACAwMJBEIl24cMHMzExeXp4AE5GrsmLDo1MLmgZN1hUnhUcl5JT+fa1INiUqKoo+DJX+jkaEicglWfFRidmVv+4TuTgzNiolt7I7VoywiQigoyaqzY30c/cMSmt8VsnpMf4ubsG51Uz4xtXW1i5atGj06NEzZsxQUVEhwET1xV/P6w0cNs/GLR0AqLnf9k7VGLfSKrC4Wz1PNBrN2toaIfTgwQMA8PLy6rCJaoLtTTSHLL3t1fC9Imd8OzTlv3kH7DO6VVN1A9hEBNBRE1HynprqKMlrnfMuAIAS/1sL1OSHb3uQVsOcQSJv3rzh5+fn5eUdOHBg0/CiDkAtDXs8XxH1GrPHLyXjtckITi65HY9/EDnkgTWoqKiYOnWqnJxcVlZWQEBAh01Ey/O2GcWBhps9zwcAoCU4mQsjsZWXvrd1WX+2ApuIADr8dkariLKbJcstPm6vT6T3kVlSXFJz7gfmMeuXLy8vb8qUKQghgkwEABDlsFuNj3/o9FG9JaQn731L5Aw9VsLV1VVQUHDnzp3u7u4iIiIdbSeqjTu/Qh71Wf0pjQpQ/GRjHw7VhQ4/2X4Q41/BJiIAQtqJ4p4YDejdS0ZVXUx4gIlDBHNfXeiz82VlZVtdnLDN5NzaOAohJDTmQHi3mrn5O2ZmZgICArt27RIVFbW3t+9YYbTwe4byHPybnv4oz/NcIsE7bPW1bGLCZDmwiQiAoBbrvNvLZRBCQzdcZ/p4m6SkJHV1dYQQYSaqSLyip4YQ6jXWxJeYahaLkpWVNXLkSBKJJCgo6ODg0MHSqGmvdAfzi8w653xznZj4wG32aa3nYU+wiQiAEBORMz9v1RJGCMlP3fMti/n9SkuXLkUIETTFpNTzwiJxbrl5enOVBIXH7XAgqqLFmrx+/RohRCKRiOjFL7HbMUGQU2mEkoDMCL1PRQSEx5pgExEAASYip1zVVReWGLnVfJsGL7+22fMcZvePrFq1CiF07NixjhZEq//5+aRmL6S+6mZGRcEbE21EUtph/4PSPZs7AAAoFArd4wcPHux4aUVfjwwXQwhxjTV62w1XSGsEm4gAOmqiunLXUwuEENf8C/419UXPd41FSMbILqSGqW1F27dvRwipqqoWFXXoh5hSEH5qbj+Z0eteJ5IBALI9do3prTzLxOP36evdChcXF4TQjBkzKisrW0/dMnVhxmPkOEh9Dnh13xoRNhEhdNBE1LSve5aNHr3mchy9KTfDZc/Skdrrr8eWMLNetGvXLvq077Zvwfx3qOTK0uLy2l9apdaUl5Y1P9AN8ff3J+buAQBkWc3oLzHYMLRbt/RjExFAdxpj3QR9IUopKSkdHZ3q6urWM2Ca4ePjw8/PLygoqKys3P62trryzIQQtwfGauIS8y8FduL6wSwANhEBdEsTbd++XVFR8ciRI+Li4k5OTswOh83w8PCQlpamr2egp6fXzmXIK2NuG48VQAKaC4+FFHVvEWETEUG3NNHWrVv79esXEhIiLy+/du3abrAqYFfi4eEhKCjo6Oh44cIFDg6Oly9ftqcUWkVi8OcXr75EF3TLYdX/BzYRAXRXE9EXk7WwsJCQkAgODmZ2ROwEfQbsixcvKisrR44cOWDAAAIX0uuWYBMRQHc1kZycXE1NTWRkJBcX15EjR3C1qO00n4vv7OzMz89vbGzM7KBYGmwiAujGJiotLSWTyStWrFBRUUlL67YDfAnnt1VBDAwMevXqxejD0qPAJiKAbmwi+qogjo6OnJycDx8+ZHZQbMNvJkpLS1NQUJg0aRJRM4q7H9hEBNDtTVRSUjJu3LjflmrGtMCfK6U9evQIIXTu3DkmRsXKYBMRQLc3EQBcuHCBRCL9toMF5l/8aSL6CrNiYmIRERFMDIxlwSYigJ5gouTk5P79+y9btgy3W7eFv64eGxISIi4uvmzZMjxS9E+wiQigJ5gIALZv3y4iItLZG0B2D/61jvW5c+c4ODjwSvt/gk1EAD3EREFBQZKSkiYmJkyMil34l4kKCwsnTpyopKSUnp7OlMBYFmwiAughJgKA2bNnDxw4MC8vj1lRsQst7O3h5uYmICBgYGDQ9VGxMthEBNBzTOTs7MzHx2djY8OsqNiFlncZ2rVrFx8f3/v377s4KlYGm4gAeo6JysvLNTQ0pkyZUlXV/fbmIJKWTZSTk6OiojJq1Cg8vKgJbCIC6DkmAoBr167x8PA4OzszJSp2odWdF1+8eMHJyWlpaYn7IulgExFAjzJRamqqpKTk+vXr6+q6/wTxdtOqiWpqatasWSMuLu7n59eVgbEs2EQE0KNMRKFQ9u3bJyYmhmfnt0BbdqOOjY2Vk5ObM2cOASvMsj/YRATQo0wEAH5+foKCgkeOHKFSmb3uP6vSFhMBwNWrVxFCt2/f7pqoWBlsIgLoaSaqq6tbsWKFnJxcRgbTd2ZjUdpoosrKyhkzZkhJSSUmJnZNYCwLNhEB9DQTAcCLFy9IJNK9e/e6OCp2oY0mAgAvLy8RERG8KiY2EQH0QBPRZ+ePHDkSt3H8lbabCAD279/PxcXl6OjY2VGxMthEBNADTQQA58+f5+XlxbPz/wpDJiosLNTQ0NDQ0OjJg9exiQigZ5ooKyurf//+ixYt6sqo2AWGTAQAzs7OJBJp7969nRoVK4NNRAA900QAYGho2Lt378jIyC6Lil1g1EQ0Gm3jxo2CgoKenp6dGhjLgk1EAD3WROHh4SIiInit+D9h1EQA8PPnzz59+kybNq1nTgHBJiKAHmsiCoUyd+5cNTW1zMzMLguMLWiHiQDg3r17JBLp8uXLnRQVK4NNRAA91kTQ2MBx9erVromKXWificrLy+krzEZFRXVSYCwLNhEB9GQTlZWVaWpqTpkypbS0tGsCYwvaZyJoXGF2yZIlFAqlMwJjWbCJCKAnmwgAbt26xc3N/e7duy6Iil1ot4kAwMrKikQiPXnyhPCoWBlsIgLo4SZKTk5WVFRcu3ZtbW1tFwTGFnTERGVlZdra2ioqKj1qhVlsIgLo4Sai0Wj79u3j4eEJCwvrgsDYgo6YCABcXFy4ubkNDQ17zhQQbCIC6OEmAgA/Pz9hYeFDhw71nCenZTpoIgAwMjLi5+f/8OEDgVGxMthEBIBNRCaTdXV1ZWVls7OzOzswtqDjJsrMzOzbt+/o0aOLi4sJDIxlwSYiAGwiAHjx4gUfH9+dO3c6NSp2oeMmAoCnT58ihE6dOtUTaprYRASATQQAFRUVY8aMGTp0KF5VFggyUU1NjZ6enpiYWGhoKFGBsSzYRASATUTnwoULgoKCePMcIMhEABAeHi4vLz937txuv5kKNhEBYBPRycnJ6dOnD56dD8SZCAAuXrzYE1aYxSYiAGyiJnbt2iUtLR0SEtJJUbELLZqInOT6/M6NGzdu3rx548aNu84xOS3VdyorKydNmqSgoJCSktI5wbIE2EQE0BNMlO39/Iy5mbm5ubm5uZn5yZc+qX/NFRERISAgYGpq2oWRsiItmqjSacfkPpISklK9pSQlJPstsw9sZYE0b29vQUHBDRs2dEaoLAI2EQH0BBPFPTqoM1C5n8oAVZV+yqpTDtv9fRAjhUJZsGDBoEGD0tLSujBYlqNFE1GLU2KCA/wCAgMDA/wCwuILKutbLXDPnj1cXFxv3rwhPFQWAZuIAHqCicgVxVlpySmpqWmpKclpWcUV/+wg+/TpEwcHx7Vr17oqUlaEwHYiOnl5eYMGDRoxYkR3XYAFm4gAeoKJ2k5RUZG2tvbkyZN7yJC8v0K4iQDg7du3JBLp0KFDBJbJOmATEQA20W/cuHEDIfTx40fCo2IXOsNEdXV1BgYGfHx8Pj4+BBbLImATEQA20W8kJSUpKyuvWrWqx45y7AwTAUB8fLy8vPzUqVO73/AibCICwCb6k7179/Lx8YWHhxMbFbvQSSYCAFtbW4SQjY0N4SUzF2wiAsAm+pPv379LSEjs27ev1TlTNTU1sbGxFRUV7TsRa9J5JqqoqJg7d66kpGRsbGy7C6HRaGFhYSxVscImIgBsoj+hUChLly6VlpZudTfB9PT07du3+/v7t+9ErEnnmQgAAgICREVFly9f3u4S6uvrly9fHhAQQGBUHaT9JqqoqFizZg2jjWfYROxCB00EAI6OjsLCwq0utp+enm5oaOjn59fuE7EgnWoiADh69CgPD0+7V5itr6/X1dVlKfszbKKqqqrExMSMjIyIiIiFCxc+e/YsKysrKSmpjc8hNhG70HET1dTUaGlpjRw5suV26+rq6tjY2PLy8nafiAXpbBOVlpYOHTp00KBBWVlZ7cjeHd7OiouLjY2NR40aNXr0aCkpKQ0NjQkTJsybNy84OLgt2bGJ2IWOmwgArly5Iiws7OTk1EKaoqIie3v7bjapqrNNBABfvnzh5OQ0NjZuxy4gVCrV1taWpcbBt+ft7Nu3b2pqaqgRHh4eW1tbKpXalrx0E3WksY0FsbCw6K4mKioq6kgh+fn5CgoKS5cubSFNamrq0qVL3d3dO3IiVoNuInt7+847BY1G27lzp7CwsKurK6N5qVTqxIkTWeqet7OdKCwsTFtbGyEkISHB0O3urnUiISGhbmmiju+MbGpqKicn10KTREFBwa1bt37+/NnBE7EUXVAnAoCUlBR1dfUJEyYw+o5GpVLPnj2blJTUSYG1g5ZMlJ6e/vz580ePHtn9watXr/bt29e7d+9ly5Y9f/7cwcHhzzT379+PiIj4rcwtW7YghCZNmrRmzZpV3YL169dLS0tzcnK22knEXqxatYpEIi1ZsqQjf6m1a9dOnjwZIdSvX7+1a9euXr36zzTLly/ftm1bTEwMs6+YSHx8fDg4ONTV1devX9/+71Zr6Ovr9+/fHyEkJia2ZMmStWvXtjGjrq6uvr5+XFwcs+/TL1oyka+vr6Gh4aZNm7b8wbZt23bs2LFp0yZDQ8Pt27f/mWDLli3r1q179erVb2VaWVkNHz5cQ0NDU1NTo1tAvxA9Pb1u1ua6du1ahNCgQYOGDh3akZszbNiwIUOGDB48WFNT888/+tChQ1VVVRmtWbM+Xl5eCCEZGRn6t72TGDJkCL38gQMHarT5mdLU1Pzvv/9ERUUdHByYfZ9+0f5e/HZDJpMrux1dfxs7m61btwoKCiYnJ9fW1nbw5lRVVf3ro9ra2tjY2C1btrBUj3LH8fT05OHhuXbtGpVK7eDda/XelpeXV1RUtHCT/8xSWlq6dOnSoKAgZt+nXzDBRBi2YOvWrQoKCl0wn55MJsfGxpaVlXX2iboSDw8PQUFBVt5ROiIigqXGtWMTYf4OIb34baGwsPDRo0fJycmdfaKupGtarNsNlUq9evVqaurfF95kCthEmL/TZSbKysrUXb7Mw8Ojs0/UlbC4ierr68ePH+/l5cXsQH6BTYT5O201Ea26uKSc3HyWK41SV1NdU1NTU1NTXV1TW1dPA6CRq4ry8kqq6n6bDltbVvgjKva09bX4X31ntLrK4rz84urWl1RlXVjcRBQKxdLSkm36zlgPSn5KTGhISFRSdm3zw9S68qKCvLz8/Pz8/Py8/MKSmvo2DbPEtEDbTFTx5fxmvS1nYn9Zoy7J54bhxnV6urq6urorlq/YYnYtCaAu4tnWqWPMX4T+3x8OyL5nVo8aN/3g89hmf7CqgIebx8zf+SqejVXE4iZiQdjGRPXFP59Zbhg/uF9fZWVllVFrDt6PKGj4fa2IfrxlxezJ48eNHz9+3Pix4yeuex2Vz9xouwGtm4hW4HndQIULyYw0CG6SBiX36RYlxCM2eNzUKRMnjB83fv7q43EA1V4Xx/Gj2dYe/z/Tqe7Dlv8QQoKqq14n1TQeLP98YiSSmXw1hNwZ19U1dNxElOIkP9cPb999+h6d/f+/q9S8+MDP75w++4TnVjccIhcneLu5h6b93gJdlh3z9c2HiMzS5gdrcuK8v7rG5lcDK8EmJqov/nxkAj+P5DyTq3ZPn1zdt1wOCcwwe0F/SiIvzxUicf43c/ma1atWrtTV1dvzJaFDcxQw0JqJKmJdTq4fKykk0ZuXpDLBMKTRRNTiMPOB/CozzIJKqqsqykuLS0rKqmgAZZ6XJougBTZe1QAAlPx4fzevsKzSko87tSU4OfgQSXPT7eSG+lL519NjkKKObSgFoDYtOiIqKbc8P/bjk9u37ZxjiuoBIDv086PbN598DC5k1SUhO2iiNA/bVZM15KQVFBVkFQaMXnvKKatB1IWed8zGDZKVkZWTle47duWBL3FVAFDqf2K4mtrq279NoqKGOx5RFRAZpHfxR8mvo1mvDo6V77v3w89WFo7qWtjDRPX5/kYq3CoLTja29efdWCAlqLn8QzEAVD7S1ZRV0HmXQwGg0Wg0CqWe0niPi+N9Hl603H/A6p5zSCkVAKhZ0d8/fQ5MS418e/uMxYGTDp4JtUDLC31vc9zi0Jm73gklf4+g59GyieLtjy6cvuT0U+ejI8X7j9ncVCeqTHg6ml9y8tZH6YXJkZGJJY3HyzwvTRbhWHQjAAAin+4doaKos+teUk3d521aA5SHbNqmI8jbx8g+ggLQZKIbEQCQdHLJ5CHDZi+doa0+QElKUkp9pskVq21TRwzu10dWrLfyrIMv0lloPvkvOmIiavYHXXUhzn7Lb7738vXxuL5tvKCg9JbnCQCQ620zToA0dM3Jz97eX+7uHcqHRhrezwao8d2vICU+x/pHs2JoNKAG2e+RQQghUb1rvk1VoPQnRoO4ebe9iu3RJkpOTr59+zajw5Fp9ZVpP8JjE/Ma7h0t02aWhMjw1S6lANTw7SOVeqtv/xTw7eO7j9+jMhvq9DRytOPB8Upy8mpDh/6n3FtcZpqJfSGZ/P7oij5iA8doj9IePVJDWUJCfpLhlnXzp2gNGzpEUVJMcuxGx6iafwfydyIjI+3s7FhqjYWO07KJasuKi0qqAQqvjZdQ0v71dpbivF0IcQnLjpyoNWTQAKW+Wro3vbIAoNzTeooo17KrnzyfHBoszK8808wlrYwCZCd9jb6DFjjHfD80TYS7r+6bRApAresvE8Xu0hBBSEzv/Mf4n4mup5dIICTQf5Gte1xior/VEjXENcnhByv+eHTERCUellqD+m18mtjw/6K3cwb2UlzzGmhlbw+ORVLznjZUfcpemg1Hiksck2i00KP95WTm20QDAFQnfnhkY33nXWZdbZjDHjlOKVkhESG5qbdDGm5UxlNjzV7CO98lAqUs4OXdp1+8fT4+tNist2rrEcegrPLSn29sLNbr6hoeux2Q0XVvcF1tom/fvi1fvrxjfcN14XY7ZJGQzp435QCUuOuj5TgRUh41fMRwjQESokqLDr0prKdRsjwMVEiSE43dU6uqqtIfbv6PT2nK7cic9xZzuRAat+95RkVlScijJcoI8WpZvY2pqKwKfrhNBIltvPad0eZuJyenTZs2dbNNddrUYk3OuDRGvJmJKBG3V8grKE7edOFzYLjvu2tLBoqLa6x1q4RaX5sZ0tz/TRwp20tQUedYWMNDUfNWX0NeacbnSijwvqgtwDlQ/0Extd77wvhfJhoq11t1jR/9iYi6qNWXQ8XoA/01LtR6bR+keOEbK+7/1aE6UX11cW5WUW3Dzy458uoYWa6h+7yh+uf5JYI8sw4GNw7pj3y6WxgNPfmpoO6HlYqc3LI7qVCVdH3DSEEh+RXnXatoEG6/S5R73P5jR+erC8jMtIqpAWg00e5P6VAceWSsoJiE/LAJ0+fOmTm0r7iMmtbs5XPGjdOZM3O0vBCv6oKTsbX/iJJoutpEvr6+K1as6ICJqiKe7xtMQsozLb7n0wCgwv/a4vGDtfVOuv5Iz00OurN9Qi9uxQNffia5n5Dm6L/tTsPPR1Wm3xP791E5eY57ZwuSNO5GlAAAVAfsn83FMel4eBkAQFngg8kcpCUnPjBaKXJycjIwMOiJJqr7zURQlRMXGBic2viopDtuFJOU2+xcSg64MVsOIcRJQmjI5rtZDU8Z3UTTXucBQOnHI7N4UR+zZ4Fu1lM4legmijEarqQ45nAS/cch6tKYAbyjz/rRq71hV/T7c/Q53+1M1BxaUcTxWcrcYiNto8qhNHj/aJKc3pmYxvWIEt8dG4AUTB3iyiJPqyn1mWf19JrBOBEhZb2LrvkUAKAFPzISRCPOfU378Xi9JIfg8kt+ZICc5iYagZDE5Cs+BQCQ6mwijJCCzr6QMgCofrFRVUBuhE0Mw4sftQ8mmEhXV7edJqLmu13Z1J+bc8BsC++ml7Da8uyUhKymF6OsF/PU+QbtcHB7uElQTPvoh9+arqufGusI9prpGFcBAFDut3cWr8CS81FVAADFgQ+mk7iWnvzIqInevXu3efNmbCKg1RVl5xSU/mpGLguyUu7dZ/m99NpAWx1JpLb86OU9c8W45QzuhNYDAFQ3mCiHBgBQ5G86qbeo6jTDzcN5VGY3majvuGMpFAAA2o+Lowfwap/xpZ8g9PL6fhzdsE7URH1O0MlF6ohPxeB+WA0A5Puaa5EUV1+Ia6y0JztbDULSu+2iSqMvDpEXFJFX4EFcU/a8bGz7oAY/MhJEw6ze5wFknJ3XB0lNfxBbXfpuj6YA3UQRFhpIcvHR8HoAgMLwWyqccostG4Y7hl+ZKqikeTyoizoF2MdE1WmOh+fIcotM2Hot5tcUJVpRWvyP6LRfVcjSL6tGSgzQf+DhsFNYYLjF69yG45Sa3NSsKkrRM9OZQoKzX8X+MhH/onM/KgEAigPuT8MmaqQ9JqIWOGyeNnXxvuDGOxh7e6mEtMrBgNp6P5spIhzLH0YAJdVquiR3n/kOP6oBqE7NTQRQ4HVhnDjiFhUgDZx3KxIaTWSZ3PNMVBrzbuc4RU7hQYYPghqqmMXBh6dwSy4/FdU4vCH+7eG+SGnv88SquIvqwpw8XIIycsLKc4+FNAxiaTDRcacMAKiOvDdNAimvvvLp3oExoiK7P6VDcfje/zgH6J2JBwCA/BBbFS7l5ScbltkPvTJVUHmIVTA20f9R/u3aClFuwck7HySWkgHqa2tq6sj1VKBF2G4e3mfouW8NxilyOzZUkm/BnaD00MejuAVn7HtLH2JREHxnsoq22f0vDocWiAjNwiZqla1bt8rLy5eWlraUqC797FDe3pprAxvezsghtstFOIUm7LzhExbu4XBiSl9xlfmnftZDtef50VxohrUXFaA86PokQaSw5HRkOfnDelWx3uNeZDd141R+sZpDQgjJT7seDgBRmwf1lhp+IJFuoogzQ+SRppU3/eEIPr9SBkme9srorFvQAegmaveyG0WhdivVe4sr6Vxwa7bAKznp6jo50lhT38a/SfD9DTyk0Rc8yihRVv17S82wfO/jYNafk3/q0Q/FAI1vZ8OOv6UXQva7qifO22fqOG01KVmzL3QTkf7fRErLTjQsihB6GZvoDyoSneYJIoQ4+gyfOG3S+DFjRmsNH6ljYOlVCnVx9ovUBAXUlp5//Ob1veNz1KUkR+5wz6ICJePRtqG9hAastrzz8rG1nmYvDkWdu6EZL40nIDT+aVQ5AECZz87xCE0/Hl4BAFDke2MUOsPJJgAAIABJREFUQjMPOzHaYcDuJqqrqysoKMjPz6+vr6+srMzNza2qqtq0aZOEhER8fDyZTK6qqsrNzS0tLf198zJy7qNVY3RWHo5qakyg5L47vWG4ygA1NTW1gapjVh52T60FgMrAR+tHqe+wD6oBAKjyvGqgPljnilu0q9XKaTobXQp+FUsrDLGar64+Y8uLeABIOrFMZ/rq6xl0EyU81Js9dOXdUHqdIOaxxYzB0x6E5gJTodFoxcXFeXl51dXVtbW1+fn5RUVFrq6uvLy8NjY21dXVZDK5oKCgsLCQTG7TWE1q0bddY6RJ/EOOvI7ILijKz83OzMouKK0BqPG5spKfe9jxj+kAAJUx55bKkDQ3uOYBNehwPznZJXcyAHIebB7OwaV5yj0XAMIeNzcRQGX0BV1VEkKcnAoH3TKwiRg2UXHs6y3z5sybN2/u7FkzZzSw0OiEVyEAQPb3x4bzxo/Q/E9jmPbUVfudoxs6ZigFYbYmy8dqDf1PY+jo6WuufUkGoH67e3jZsqO+GTUAANVxD44uXnLiVWoNAEBFvMvBBQtPPWf43rO7iWJiYkxMTHbu3JmcnPzixYt169Y5OTkZGhpycnIaGhrGxsZ+/Phx3bp1169fb+NIhcrchAAf7+D4nJY6XmhUKpWlRrS0k9ra2hMnThgYGHh4eISGhm7bts3S0vLz5898fHxjxoz58uVLbGysiYnJ3r17ExMTWy8OaOEX5/MghJCQYr9+fRUVFOTlZOQUp5m+pwKQEz8bjhQhKU7Ydey0yYqRvJyyG208qwEqPI1FebknnY0AAGqys94ghPqv9cgqD32wCSGl/S9SmkovCXs8Xw4hRNr9OQ2KgnfII4m5R+hT/nIDLooj4RkHGvYNCzw9AokoWvh3UecZe5ioDdTlpv5Myir586tdU5TxMymjojO/8+xuopycnNevX79586agoCA0NPTJkycRERHfv3+/fPny69evc3Nzo6Oj7e3tv3371mP3uW8BCoXy+fPnZ8+eJSYm0hdc/vz5c2Zm5rVr1+7duxcTE5OTk/PmzRtnZ+e2fe1pUa+uHdhtbGy8y2iHYSM7jj1saIvLCn51cOPSaRPGTpmzfN/1jxl1AADVyR9OHD1y17thJfXEj7b7d5u/iinICn273+TClx/Nv5nVQa+vmpjsd04ogaqsd2dNTz52ozcrVWR8O2l2/MHXhuHDmV7X91md/5qO+87YB3Y3EYbtqCgpKu9ePwrMNFFdXV0l2667Wl9f37TMIDYRBtNBmGMi+jNsaWnJvssmFBYW7tmzh76H8vv377GJMJiOwAQTrVmzprS09Pr16wihVjdNZ1mqqqrGjBmjoaERFRXl6uq6ZcsWbCIMpt10tYn8/f11dXUPHDjQq1cvhNCVK1fYcauP6urq3Nxc+k5eWlpax44dMzIyKilhxamYGAxb0NUmCg4Opm8eS0dbW3vbtm3r2I0NGzbo6enJysrSr0JKSmrdunUstVMCBsNedLWJAgMDZ8yYMXz4cPozvGXLlpfsiZ2dnaamJkKIl5d3+vTpW7du7Wb75GAwXUlXm+j79+/r1q3z9/efN28eQujevXtdHACBTJkyhYOD4/Tp0/RxgLidCINpN0xosV65cmVNTU16erqWltaVK1e6OACiKC4unjNnzsGDB2k02ufPn3HfGQbTEZjTi19YWAgAoaGhYWFhXRwAUZSXl7u4uFAoFMDjiTCYDoPHWBMANhEG00GwiQgAmwiD6SDYRASATYTBdBBsIgLAJsJgOgg2EQFgE2EwHaSrTeTt7T1//vz8/G61W/Tr16/XrFlTVIQ3nsVg2klXmygzM9POzq6bTYyIi4tzdHTsZjsvYjBdCXvsRo3BYLo32EQYDIb5YBNhMBjmg02EwWCYDzYRBoNhPthEGAyG+WATYTAY5oNNhMFgmA82EQaDYT7YRBgMhvlgE2EwGOaDTYTBYJgPNhEGg2E+2EQYDIb5YBNhMBjmg02EwWCYDzYRBoNhPthEGAyG+bTfRJU5MS4vb508vN/i8MkbDp8iM8qpHYyFXPYz0NvT70duaWVeYrCPX1S7lpglV1XXUmgdDIXVqcr44eb81tklML+O2aF0PnVVlXUd/W41UZXg7+b09r1vVCsrqdOqCn54vnv95kt0dmlL36bqrGCP92/ffYnIqW0hFaU6L+ir02tnr9is9i4xTKlKCfry+rVzQGwWuZ1FEA6lODXo/ZvXn/xjCzscU/tMVJ8dcGf5MCnUDDG1uZfdUlr6a7RW5g+HvZqiQnKKmpOmTh+jJjNizbVcxkqglmVHPTu9Y/PV9+k17Y+DLUh+uH0AF4lHdu6nPMKeURaEXJbpbXfOeNshvzKCSqQl7NOWRAgN3vie0mJCSty7TcoIIW6jR/71LaRLezRVESHEufxlegupKn6+ns6NEOq3897PdsUNUJF4fbEUiUSau9+OZTbGqfSymYEQQhO3f+1wTO0xUX1xxIlZkgghGfWJa7Yb7TRcO1ldHCEkMsrwS3q7f6Nrgt/aHrlg9y3I6+4xo+1G+x38GRQRVL63mooQUjR3LGlvEOxC0v3NfRFCEjM+dGsT5b817YsQb58VwUSVSMt7c9Z8w4ZNxx9HtnzjqLmRdof1N+gbPfdPbslZxf7WBzZt0De8HdLSHlO1+eFXdujr6x9+7tvuXW0yrs8XRgjNMH/EMiaqS3C30dfX33rxaWyHt8hoj4nKYl4vEkYIye18EEM/kuN2XksUIS7tsx9SG2LMC3tyydLM1NTU/OjNN/7N9t+hJH17ef6QuamJifnhC29Dspu+ECWJ3vfPHz904OBhy2NWlx/7xhf+ykQt+P76puU+MzMzsyPn7/kkV/4eE6062fvKEm0JhJDo+FXHbzsllZalBr+1OXvJwcvv45PL+/YcsvPJASgLfmN7eI+Z8e7dpub7Lz52TasAAKDVZLs/sT1//alvaEKI8/V9ZmbmFuffBGY2hpz//fVNyz2mJsbGpnsOXrJzy6kDoBT5Prl29tJ9r6gGY1IqMt0eWJ+98sQvvhgAoC7j6yPr/WZmJqb7ztx+97PhT0XN/uFxz/rczZe+AU639pnvv/EhsqIy293u4n4zU2NjY7P9R285hZQ0ffdrcz3srQ+Ym+zebWxmfvj6S5/cegCA5Adb+3EgUu/ZH/9mouJ4d1srC1NTUzOLM8884/9SQazL8nl7z/ryrU/hif6O1y3Mzc0tr3qmVJILI+wvHTQzMzt03j4yt7opeW1u+POrVnvMTM3MLaztXdMb3zDyQpxvWF9+8sE7OtL1ymFT8z0Hbn34UUOtCH191cLMbM/+00990hovhZYZ6nzp8B5TEzPzI9bvgjPocVOrs1ztrp+3feEflhD41mavmdmegxffh+YCQHGM95mFqrwIcYupbT73yDOS/gBW/XCxP3PQ3MzM1OL4lQ/hvx7sqqwwh8tHzc1MjI1N9x6+8Mov+W+/imWhH+0vW99y+p4NQE32/3Dj4sVH76PSwj5ePmpmbr73gp1XAT1beea3l7ZnLj30S2p48EsS3G1PHDA1MTHde/zBp/CGr2Bl0tdnt6yvP/JMqQQAqM7ydLC2MDfdvdvYdM/Bqy+/59cCANSXp315ZHPO9nngz0oAqEzyfXDpqJmpibGJqcVxa6eQnL9ECgBQHfv1/lFzM/M9Jx6+cLq4WAohNHvv44aAKn463Tyz19TM1OyAtZ1Lxl/rAJTS0He3j+43NzE2NjXff+HRl+RftUtyvLv96QNmZiamB0/dcIsrbTiaG/PhgfUl2+f+Ae8uHzlwxPKcra315TvvE4saXnhKEgMdrpyxvu+aVV5TmOB6+/y5ex8CGt5NKYXfnl89bG5qYmp29NLjwKxmMZFzvr26cWSPmZmp+eFzD/3Sf3+E22Oiugxvo0GcCPGrTFh9+u678NRSGrUq0c/ls5t/cl4FAFQku5jqqPI1vbmJ9Ft2+GUWFQCo4c8OTlAUbPpESFnH2i0JAAojHdcPkW7+uiejvd4+tBwAoCrh7q4ZfYWbPuHso7Xyrl/e/8VUn/1it+qvzMITnscmvLGajBDqpaoszosQ4px34sMX2w2KvZqdg09u8fEXmQBQ4rtBRQAhUZVB4weJNr5vauk9i6cAFDqfWNdflPNXLk7JSaYO6UVZdgb9EOKeaHI/GwAAMn3OqfMgpDDzdnAlUBJubpsizf3r5XXEyjMhhTQAmuflzb0R4hBV7yeM0P/aO++wqLKnz3+JHchRULwoKCoIiihiAiWKAmIERRTzqCQTKqKoAzpjjmOeMWcdA0aQDCJIUoIgSFABkZw71v4BIjAzv33e2X3efXbX+q+77z19TlWdz62qc043YDF74/6t0/twuvRKXnfe3kdfiKjt0+2NNhpSXT5SHOj1a0QrUcn5fyTRx8Tf3Uy0O+/g9DFfey6+p9nrolZN6gVIapqaMQodV/ad4DZz/NBvVuOarjj7vo6I6OubOysnGnA7W5TVmrj0QMpXIqKXP9txAXkNZoSRZvuHMr2HOs930v9mYfkBTn9kNRBR7uM9DgNVOttQHmC3695bEZH4S+Q8XVlAzcBw3KBvJtYYt/hxufj9mZX630fOLD6USVT3eLenUS9W57tqBjYhD/KIiFccvdXZoKttOX3G77id0bNcIC7YbqcHyI7xjSTi3wlw5gKs3uPG6n8rNXD6Lj2f3EpEhc+8h0kA6htupBFRZeoFd5Pe311A1XjF8YRWIvp0w3UoCxJqi8O+krDk6papmjJdOqHYb9HxiBoifvFDVw1AYnjgjTIqe/KTjZ5sN4NP/DX8w18eKU3pNzeZanWYX1pJR0+TBUhO2XiphoiqU3e7j/yuUFmtST+dfNejBiWsjjq+2ECtiwNJqIxffjiznoh4yWd8THt/16S2yYzTSRVE1JRwwqkPACUjPSUAXBVVAxN5SGmvv5cjICKqe7BrhhygOHVPQUNb6h+zpQAFx/UxtURUfivQucv8kh4wyT+8vVDS8OaE9+ROTwOk+pkvvJRS1rWz/6pOJGxMPLVsQMco2Bo6+sPGu2767VFhu78Lv97xGS4BqI/y/D0yLfL8eiMWwDEOCm8Qf3k0f7gsIGG57veXLx9ucjUCwLid/tzYlHJqrhpXwcxt6/PsvLSHe61UAah77EkmoqwTnloAuANXHA17FXvT37ovAK3xa5K65mBi/qe4o3Ot+gBQt14QevZ5RX3pjW1j27vYa+hYZ4+fDt28u9FKTU7ZPODMi/zc1yf8JwCA2eLH5URNiQv6ywGQ6Tdp5/W4F+e8B8oDUHc78ZEq77gOBiBjs/liWmbWw4MrR2ooKfSbdutdZf7joH6ApNHCB4VE1By23gTAkNm/Fgoo75xnLwDqFsE3E1Kf/TbNgA2wpux9TUTRB5a2ez2bMXNw/2nNUm97NQDM8oP3M96mnt/qrqsirzrGN/Yzn/cpbI6+vILexG3Xk/NyEve6GQDQsFidQVRx6ae/JZG46s0vU9QBGM0MepiUcjPUTR2Q0JtxMaO7k9a9WG6lAUBCY3zInegH+5cOkQEAKb05555G/r7JVRmA8rRbOS0kKDnhrgtAddTck49fhl/eYaUJQG5G6KN6otc7reUAQGmSz9mE2AtzjDUAQEZj1q8PEu+FWupKAHA8kd1WGrfOnAVIjlt+IDI5/tQaOxYgO8on8qOYaqPd+7IAsPTtd9+Kf35qRX8OAJ2Fvxfyyl4fmDNcDmCpDfPddyWxsOnTkx0j5AGoTt92OeHl013zzKQAGT33iPKa9Kv+ygC07HbdfPkmM2LXopGqCsqmi4/l9GCw+H2QZV9A0mxlBBH/1jonDgAoOwScj4+8ssRSG4Cczf4iAVHRk5WGAJQ23MgQiip+m6YNYNCUjWFJr86vsWID8mYLHlcSlV91HCQJyC96Ws3Lu7/AWFmhl03ozaS8nJjdC4cBYNsGptQTfQqbqgjAJPBOcdbRmQqAZG/7w0/T36Y92OAyQlVBwXzFlS/dy1GtpdHeRtIADF0C7kZHnfSbyAIAyambrtST+PUvjhxApr/D/rCUpHu/WPUCoOl5NqdrcZ1XErVqAACO3eqjLzOzws9uMFNXVtZ1OJFQLyy5Yq8DQGlK4NXXqREhs4wAaFn//EFMbYm/TW1/kMnqmNvMWL9jd+g6RxlAx/N8BRFVJQZYsgFFz5NJQqKkky4A2Pb+sQ1UHxOoJw1wB64+G5ny7PBkfS6g5Lo/jUiUcHSJFgC2if+Jh0mRV1ZZ6wJQtd6RXvk98f3Xa2eC3CdHF9qa6fVR53SEC9LaY73u5zULG+I9dAD09diT0CIQ8ZsKjzhpA1K2AX9m3N1qLAmoO90vFRFRVW7CnWs3nyYVNgnEIkFzZUluelpmdkb85V9XmSoCUJ0dHE7i0q1WfQAJs+U3GoiIqCX9kLmGBGR0/R/2KCSVnPEbDmDA2iufiYgqrm8dB0Cy39wbqV9b29r4QhGvviI/Iz3zbXbys4trZw6TBDDY42YuUWuSlz4bUJgScF9ARLxXiwYrAspTt6dT5Z+zjABA08Jtx/Eb4ZHR8UkZJVWNIiJBWfzaUTKA7sYb2fzWtGV6EpDut/J8IVH5Lw76AAznXyhvFQj5Tc822ykCKqO3fSKKP7JCEwDLdF90UUsbrzzimDUXgORQxyV7L9x/EROXkJxdXtcqFpNYJGiuKc/NTM3Mfhv/4Mwqax0AquaeETyqvPz3JKpIPjNGCpAb9/PdQp5I2PIhyt8EgNayIwndrquL/GmiBoBhqx/wiSjvysyBACSnHk8mopqoQxNkAGnLC2lf6t5fncACWGZBtz+0T5Dow9OlAdbY1ZEVoqw99myAY+h6q5yIms7NGw5Ay2x1upiIstbb6AKYuPNFRtgvhgB6TTsbVyEQCWtSr8/TBWAY8vCDqDnJU1caUJm+9YmYiJrjPfQ4gMa07S+JKO+YuyYgrzcntoWIqk4usgDQy3H/h/aVmk93Zw2TB9jzL6UlX1unBgDaNgs2n/3zWXRc3Kus4poWQc9AQ1ywbVI/QMZ89Qsi/u31zmyANWhFYi0Rie8Hz+AAMAnKaiEqebbaGIDa5jsZtWWPbDgA1zTozwoioq8Zf9648SA6tZxH9Omak6EMoLTgz49iobC1tiwnLf1NVlbCwxPLHAYCkDRfE11GVPbYRRWAadDdkqzjs1UASPeavGLnhQcR0dHxabmlda0913tLo/cNBqA66UBEDRFRedyqwVIApm6+Xif+GGiuBnAt/R808ISCtqoby4ZLAHqOez92aYFXGr16IABoj3DafPjas+jYuPi04spGkZAyD0xXAuT1Z4d9bBEK+V8jg43VAe6w4x/EwlenXHoDkLYNffa1uZUnEH15HmquBCg7PS5v+RRzaLgEJPq538ppJRIknHQFIDdlfXyDKNbPFMDAyTuLiIj42ZH3b94Oe1XQTA3Jm500AQmLwHvtwUNN9AFrLQD6IdEfO0f9b0jEb64pLykuq2kUkajqQ1rYxUMBS6cO0pQBMDH47vu821Yq0oAcYzzBwd7G2tqq/Uk5ZPrG3w/46QEShmtTq3t6SGNZyvENc401JQFAmsuVBqDmtjNSxI9xGyIPKM45m99xaVvSfAMlQM11T0Z3Jys63UGiy5+IOkmk4ro7s51hwobsx0eWOhi1B3OyctxuJNKTAXQ892cQEbW+8TdVAZQmB8YR1T/Zs9RE53tGqTHE2nf//dIGAVHto91TOcCgVX/E3grQlYDcUPdHlUTCpCWjdAAo6Y2ysbW2sbMbM0ABAJQmx/BFiUdXaADovyK2TEhE1JL3x0ZnfTXpb81LMaNnBl9MrG4jEjW+vh4yd7y+BABIcuVkAKhZLAz/ZxLlPdnaBwCrl+GoSQ72tjaWo/U4ADDR/3y3v8r+RiLr/a+IiPKuuRsDUPW9n09E1ZHHHTiAtOXF1E8lsdu1AQyaeTG749aiqL39AfSZcyWjKevgZBbQa/SyhDYiari80AyA3tQDZUREuZsmDwIkJm19EHHeRxmAvO7wMdb29nY244ZrSQKA5/GYhsZUL0YC0Ft2LIuIqCl11VB5QN01OIGI3h3tIFFcKxFlbHDsD8A8OOpbzvVh6+QhAMzWRjaWJobOGab5PedRGuG86kx0fmMPR+tJIicWIDd+X1EbEYme/+KpAsAk8G1zJ4nUA2+nl705NhhAX5ujyX9ZrP54tZ1ECx9UEL/29a3QeZZ6EgAgweJyJQCpbiQatvHaZ6p46jdlqEqnwVmaFjP8L8V/7N60KOf+WjUAJh632h2/+cPRKUoApgbeqm5JnDNQBZDSMBhjb2djbWs7qq80ALaeW3zXoqCoOub0SpMuSZGywcRVv9wrqW195melCMgo9BtrbWNjY2czdqAUALCXhDeLX5927g1AJyi8o+ZLza/X2/YB5DzPRN7bMQGQNPM+UyIkopb4k64A5KdsiK9pujhTH8BIrys9i9fv73iZAlBcfftthzUqw7zGSwMybpffdAZF/4JEgvyHWyaZm43z2Jnw3bsbb24aDUB11v7ElJv2GtKQ1jR3WeHn7e3ju2ZdQND2kNBzd56HHVilD0j0X5pYJSIiaqsvLyn8XN3Y2vTp0jIjABqGNiuDd586e3T+AGlAac6OSLHwtZexCsB1OfCm46saImbqsQF1t2O53W334bRvB4k+iqmTRNoLD75tJiL68vKsjSYArQmzvEMPnT4YPE+lJ4mYBe3f0pLZTiKHjS/a2y6Mv3Mo2G+Rm9PoQVqyAKC04PwbIVFt4ik7DaC3o7uZjpQEa5z33WYiEiSvMNcBpJix89b4+nj7+K1Zt2nrjpB9R64W8Pmxh5erAzDcmFzeaYXmjKcXQgNWz59uY6yrJgmANfxAdMnnpD1DWQBXx8YzYPeR80f9LKQBFfMF/0wiccHznboAlAY7evj4eHv7+K7dsHnrzpDQK8/TuvlHXeQKKw0AtoeTxUT07orbUAAa6x7mE1FVxDH7DhKVfU7e1x+AjvO51I6Z8v7pVi0AAz1u5fKyDjjIAtqjlyfxiKjhkucIAAOcj5YTEeVsdDAAJCZtC4u6tEYNQC+z2Yv9vL29ff3WbQzc9nPIL/eSPzR9TfDsKwHoLzueQ0TU8HqVkTyg7ro9gYhyj7h1iYnytroMAWC85uk3Er1db9sPwKiNMUREgs8vrhza5Ltkpr2FniYXgNRAj7s90rO/JZHlweJWIhI+2zVf9a8kupNe8e6cMQB1y30x7Ukuv7K0qLisqkXQGROprggvL4s8YKYIyPZzmL9+z/GzoWuc2IBENxIZr79QRETU9P7R+YObVntNsxnFKMkCYA1ZFFXZNT0T5z3eogVAf86Vt2Iiosb3+625AKYG3qzhpXgMUga4g228/H28fXz91mwIDN4ZcvjUncK/7KP5mHzv0PYNS+Y6Wxj25QKA+tLTEfcDnVQB+T6jF/v7env7+PuvCwzaHrLn4MO8Vt7LE87aAAbsjyvpnFqv9sxSk4XqkFkzBkhBznjbrcJ2v/1OolreLXcDAMPdT7UvIgrrKoqLSr82Cank0YpxUgB7weWMDo8vue0xQgqQX3I7p9N9/wWJRAWPNmgCgPrUgMs5NWIi8efUGyssewMw+Onc+4rcTcOkIaE290AqEREVnQn08fUPvZ3e2hyza6QSIGOwI+orEZWEHXAZZWruFBj+6sV6QwCsGSERRESVYTO0JQHF2cFPiZpOzzIAoG21Ja2eiCj7wvI+LEBp1KH0lm79EneQSN//agUR0Zd2EvVefDi7lYiELy+skgPQ1/3BRyKilwedWQAMPG7mdCVRJlEniZSdtr9syn8WumrBosWB4WVEJPjy5vI8c2UAw4KetxBRW85u90GApAwgpWoSktAefVWddjMEMNjjfDMRkSD85HYfP/9DDwqIRNEHl6oDGBqY+kVMREUJ19YtWLjI52ROExE1fXh62KkvADnvS7HRxx0BsEYufNFGRBTmbyYJKJl7hrfR13+Iiere3nRSAeRNQ55WExHVJYV6+/gFnYot6L6y0kmiQ91ItLYriaTGn0+r4pVHuPcCoDEnJLyZiETFp5YMAdB3xs9vW+jNblsZQHv08pfdSHSkC4lguSM6P+q38WxA3f73TDERiYuebvH28Qu9nlVJ4pqYeTr/TKKjbpqAXP/ZcW1EJHiwwV4OYA9c8KhYRETlL0LNVaUA3cAn2RkP9y5YsHDl4Sc1RNRSGX127UAAEpZHwruVRf/rJFLbdCezue6Vlw4ADY+9cWIiKrnrOd7MbMK843EtVH3L2VAG0PB9lhtxeIEUACOf5BYiovtbxksCGLUmuoyovJ1EI4KuZSRe3eW1cNHag5FtROKmihe73XpLASzTs3nd/Lkq7ZKNHCCj53f+DRE1vj45UQWAxNTN1+qo/qC9FsCesCZMTERUe3vPJl+/gDPhXZMzqi+K3b3Mc+GS7U/yWomElVmP1lhwAdhuupxw3V9HCpz+M5/UEhFVR58L8PHdtPduBVFL4gknbQAGhxK+75ASFl506C8PSEkDmlbekR3L2h0kknNcF99AOXvtJAEFk3mPK4mI/3S7xyizkdP9r9bzig4tNAag6Rya2UREorRTP/VnA4o2F9983/rwb7IzYcO7g26DAQBsxtDMYrSZgXZ79mG242GBgEQpx93UAAlu7wnO053H6AOAwpgjaS3Ef7d71hApQN5g3Oy5buP1lABoOO3JKnl/YmYvAEp9zVxcXSyH9W2Psq29/2gQU230rtHq0oB0PwsHF2fbgQqSAMdy7Y3KnhlexZXNEwFIqA119PC5kp51I8gCgOr8/dmtRCQueLZnmBQgoTx04rTpTuM7EiJlxzNJrdSW5NEbgKb7nnQiopb01YZsgGUbmMSrfrFoKAcAV3+0m9diz5lWvRUlIWMQ+KhAREQkyji9UhcAoDEh+N23CLsiYscIFUmAO3SSs+uU0e3aWXLpHRE4BAg5AAAIuklEQVRF7l0oD2DAhpQvYiKqfXXGthcAaBnbzV+0aJ6jmSYL0J5yOa3iwxM/TQAslZEO01wmW/SVlwSAwVOvfhVXXVraG4Ci9cOK7lpo+3jF30IaYGsMcZw+fdIQVQBsY6+w0u7PytqIxRYKACbsSxITUe7F6QMAKPjcyyOir88PWQHAyJMvK0nc/HSnoxIAbq8xTtOcLY0UAfQy23G/SEiUtG0cAJXhXgk8Imo472YEQMehPTvLXjuRATBsQ6yg+d3heYYAFPqOcJk+3YJhA9C03ZJaL6LqyFnqAPosPJxNRNSQvExfCpCfsiWOiD5dW6YjDUgoGdl47rmSXF1wy32wMgCNoZbO05xMtTkABs05XNrW8u72egYAOEMmzfZa7OVkoc8B1KzWvijtnvSI328eqwVg2PJwIv4NP3sAkqP3FrUSkfDxzjkcAAYbMpuJih8vHwiA6381TUy85zttuYC00gCH6TPsh/cCwNabfrOET1+u2usB4C59WpJzO0gfgIzGSPsZrpNH6ShKAICO58N8obj80WQOgCEbrxe+u7pECQDkTe3cliyZP9lUWwbQtNqaWd/NlKKm9ye9BgNgaxhNcXEeO6RjddJ27YVaotK7fnpsQEp5pMO0aTYm0gCgG/CwtGuxqa0s3t+cBYDTe9Rsj0Vec2z1lAHWoPVXc9uaUnwtNAAoD7GaNn3qUGUA0PM4Uymm1oSj9ioAmH1xXfdqVp/3MJIAACWnoMffnKk59tgUAJLW3lH1JCy+6dqPDcjoT3B1nz1ZnwNAymZreBuJPz3aba4NgD3AfLKri3U/JWlA3i7w7pcuxvmXFWt+2avDqycP1FThyEgCkix5lb4mU7ZfS2kUEBGJ2z7e3uFhpKnMZbFk2QpaJi6/PuyYpC1FEUFzhku0KxWyRs4bnxU2E1FZ/MlZI7SV5DgcOUUTx2XbN7swDDNhxf6sNiLiZd/fM9Oin5IcS1aWrag2yG3zxYLGv27BFxU9Pzx5kKYylyuvZRT4JO3pETeGYUat//19KxGRqKX4eqCrvoYim81R0jad7xu82oph+k3a/7hQxM/eMF6PYSzWnMkhImrN2eFozDBGnr8kEYlrMm/7OhurKnDYHA6bo6Daz2LV0chqQUcHxKUPVtoNYJgBXn+87dKZ5pRLgbaD1OXZLFlZOZXeZssPhleLiEiUeCZgOMMwdnvetqeoYt6HyN/mj+2vJMflcNhsOUWtoZN33nnTJiJx07sTK621VRU4bI4iM2bZ9mAXI11dY5ejyU3Vj7ZN0GX6my6IqurJY/7XtEM/2egoy7NZLDZX2cB6+dXXX3te1JC4ec5whmHmncsQE1HhvdV2DMMM/zniAxHVxF+Yb8Aw/WdcTa0gIlFz0a2QBSZ9lLlsFost18twasitjFYREYlfH3LXY5iRLpvS+ETUdNd/CsMwlov/qCQier/b04phGKeQeBFRa0lUsLu5hqIci8XiyKsOdw14kt9ERMLKBJ/RugwzYeOF90RETW+22A5hmOHLDqQQkejzM1+7werK8iyO6qzN15tI/PXl+RWTh6oosGVZLDnlPjZL970qFxARCeoT/9hkNVBdnstmszly8sqDrJdfTi7vuT1aXLzfbSzD6LkEJRAJHocsGsAwg2ef/dRGRMKYY34mDMM47HnXQvQ5JsieYRiTkHtvxESixnfn1rroqSpyWCwWV1l3jMfJ6I9CIiq7t8hGj2GM1r+oEbW8P73atq+aPJvNVdObsGzNlsWjGaa/y/lXFW1f45aaMAxjH/pnGQkbIo54j+2nKsdmczhsrpLaMCefO1k1f3Xo5oKn652MVeQ4HAXN8bPXBMw2YRhmwa47tUQkrok6ttpCV1WOxZJlyavpWW74I+kvu+xEde/CAlxHqCvKsdkcDperrGO2fP+j9r0/VenXV042VFFgs2Rl5ZW1Ji76NeWLkIiaUy4sGskwjNW5193CyYrwreb9GWbEtN9SOmO3lpTLyxiGGbxgZ2IdEYmKXhydaaLUMbnZOtM2XChoT2dFrZl3f501UkeRw2Kx2Ioag922XfvQ3M0r/1dOwAobvhSlJ0SFR0SlZBXVtvbYiSpuqCh6HRMZlfS2rKH7c0n46fL6OeNN+0moGwffz+80AK+mND0hKj69sJ5PRCIer62Nx+9cURC11hZlvoyKeZlfXvcfdsc2fM5LiolOelvcwBeJhHwej8cTdF2VaCvLT42NTsgtaxQTkYDHa2vjC0VEYgGv67ViAZ/H4/H4nWsvwuay/LToiOdRSW8/1/bcKigU8ni8vzkaxauvyEqKeRGTXPDle5VGJBTweDweXyju0i0xr7YoK/nF8/D4tLzKpi6aFDaVZr+Kikn+UNlMRCJ+h1LEoo4Oiv7+TBS/qjg3ITIyIT2/5u8P4Hy7v32835oTiMREJO5QHF/4vXVxS1VpRmJ0bHJWRdP32f3twg4qt7fC71CiWMjnd9OhqLX8fWZsZGRSdnFDZxtiUbs6emheIOy4S9D4OSMxJi45q7yB39EbQdPnd69jouLeFlfyug+fX1+RkxL7/HnU65yShr8/CSUWdrHsd1t0DKfLy+866TSsoLo0NyEyIj41v6rl25vfL2t/2VySnRwTk1TwtZXavaq1TSAUiXsOk9rqPr9Nin4eEZ2aX9b0H46TtFblvo5/+aa4WUAk4vewSkvNp4yEqMj4tOLqln9sQdRcUZgZG/E8KjGjtLq76/IbP+a+ioqITssv7xzQ3zsoEZGY38XW37TZMazOPjUXvAiea2uoo6Q8bF5Y99NfotaagsyX0TGv3pfV/3Wy/PefxW/Nj3/25+3LQfNMAdVV5xL/Xz8i9kN+yP8vImysSH5y99bNQ9OGKEJ57IW31f/ze77Jfz+JmtLvnd4R4O/vt37PuacFNf/pdOEP+SE/5P8iEdSVPD4ZGrDGd93G4N8fvan7r0zuH79P9EN+yA/53yr/6jd5fpDoh/yQH/J/Xv4HOGBMyLqKBOIAAAAASUVORK5CYII=)
3,27 cm e -6,53 cm
1,75 cm e -2,33 cm
2,45 cm e -3,27 cm
2,05 cm e -6,53 cm
3,27 cm e -2,66 cm
O que se pode dizer sobre o método do Pilar Padrão com rigidez aproximada
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção circular e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Calcule o momento fletor mínimo e a excentricidade mínima em cada seção do pilar , considere como sendo um pilar intermediário, dados
Concreto C20; Aço CA-50; d’ – 4 cm; Nk = 875,75 kN; Seção 16 x 50; lex = ley = 275 cm.
Mx = 4229,88 kN.cm; ex = 3,00 cm; My = 2876,32 kN.cm; ey = 2,04 cm;
Mx = 3862,05 kN.cm; ex = 2,95 cm; My = 2626,19 kN.cm; ey = 2,25 cm;
Mx = 1786,53 kN.cm; ex = 2,89 cm; My = 3678,15 kN.cm; ey = 2,45 cm;
Mx = 2791,72 kN.cm; ex = 1,98 cm; My = 4229,87 kN.cm; ey = 3,00 cm;
Mx = 3878,15 kN.cm; ex = 2,98 cm; My = 1786,53 kN.cm; ey = 3,06 cm;
Para a viga de 20cmx50cm, d'=4cm, Concreto C25, aço CA-50 e Momento Característico Atuante de 175kNm, calcule as armaduras de compressão?
Frágil
Dúctil
Brusco
sem avisos
intermediário
Considerando o pilar de canto abaixo, podemos afirmar que as excentricidades iniciais na base, nos eixos x e y, são respectivamente:
Nk = 612,14 kN.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYMAAAD+CAIAAABXzf7uAAAgAElEQVR4nOydZUAUTxvAB46WDkkRFBHxDyZiN3YXYqJiISplYKLYhaJiJ4iFgdg0iHRKS3d3Hnf3vB8OkNcADhbuDub3SfdmZp9dbn83O4kAg8FgmA1idgAYDAaDTYTBYFgAbCIMBsN8sIkwGAzzwSbCYDDMB5sIg8Ewn+5sory8vJycHGZHgcFgWqfbmqiysnL9+vXW1tbMDgSDwbROtzWRh4cHQmjcuHH5+fnMjgWDwbRC9zQRmUxeunQpQoiLi+vOnTvMDgeDwbRC9zSRi4sLPz8/QoheLcrNzWV2RBgMpiW6oYmoVOqCBQtQIxwcHA8fPmR2UBgMpiW6oYnevXsnIiKCmqGlpVVYWMjsuDAYzD9hJxNVlxWkpRdU19OajtRWFGWk5VfV/TpSXV09Z84c9Ae4tQiDYWXYyES0DI+bq8ZMP/kxlkw/UJtsd2TuWP3L4YXUpkR2dnYSEhLa2toLFy4UFBQcNGjQ8uXL+/btO2TIENxahMGwLGxkIqiJf7aoD+o11zqxEgCgIvzxbAGksulOel1DgtraWnd39/fv3ycnJ8fHxysqKm7fvr2srCw8PPzNmzdxcXFMDB6DwbQAO5kIoMh+93gS1/CboWUAND9bPS6kfvRdStPHVOqvylFubq6iouLOnTubjpDJ5K6MFYPBtB32MhEUfLYcJoxGHvtGrki5OKsXl/Y293+MW8zIyFBUVNyxY0fXBojBYNoDm5kIqoONJ8kLDTB4+8V2DK/QzL2vy/+REJsIg2Ej2M1EQPU/vUihl+CwyWokmQkn3Uv/lQ6bCINhI9jORFCf+GhaXx6EkNLMvaG1/0yGTYTBsBHsZyKAovsr+iMOoQUn/an/ToRNhMGwEexoInA31xKW07aNbqkvDJuo4zTvi8QwCo1Gaz0RphH2MlFdcV5mXODTFaoSg5Zda3kNNGyitpOenn7jxo2rV6/m5OT4+PicPn3ax8fHxcXlwIED165dy8jICAoKOn36tJOTU23tv9+Heyr19fUODg4XLlyIiIhITEy0trZ++PBhUlKSpaXlsWPHAgICsrKybG1tb926lZ2dzexgWRf2MlGR04UtgwQ5RAfPuxNS3HJSbKK2ExkZuXv37t27dyckJDx58kRfX//Fixfr16/n5OQ0MjIKDw9/9+7d+vXrr169WlVVxexgWY6amhpLS0sDAwN3d/eAgIAtW7YcPnzY2dkZIaStrf3u3buIiAgTE5N9+/YlJCQwO1jWhb1MVJ8S+PH21VsfQlpfExabqINs3bpVXl6+rq6u9aSYP/D09OzVq9fr16+ZHQjbwF4mYgD2MxG1JPTDwzPHDh0+fvGFT0J1s0/yotxvnz16yPKs3Zfw0obGhxKvJ9ev3HUt+P+2MlpFlout5fE7H1Mqmx2ty3B9cuHic/8iRgaZb926VU5OrqCgoL3X06Px8PDo1avX48ePmR0I24BNxBpUx9/YNkFeRkZlyMhh6v2l5ZVXWDnnUwCAlvDh9LR+cr37/zfkv37SMn1n73uSQwOApENTB8oOMYv6/7claqbfviEI8fUzvBv0qzJT4WOiIyKy4FJcJbQdFjZR5Q+3Nx+//Wy6QFp5yuc7lpvXrd6w49Bj11j6VdYle1ubbL38Kbrmt8yxz823bbe859v8zpUkuh4x3HPfNZmoELGJGAWbiBWgRdvqiiI03epjdklZaUn8bQMtId7BNmHllJIwi7F8QmMMvySWlJakPTUbzSmudcq9HCDtwEQVqcHGPxrlUltRUlpFrs/w3TuEAyGE+i9xiGr8rMJ719Re/HMuxFUC0Ci1NXUAAPUVuZmZ+aUNz2ltaV5mVm5Zs1cxljVRhuupkaJi03fYlwEAAK066foGLWEJpTFTZ0we2V+k14Ct9yOoADV+N6YLo6mnPpX9f/YCNxMZToRkxl75/qupMcvHuj+SXX3+O1FBYhMxCjYRK1AfcGuP3hKTbwUNr14Vn/b9J8qz7u3PzO+2Gqi3/rUg+vGaeMeZQsKzD3ysh3zLKQNlNE1jKQDU4i83LdatNbYPLa7L9jcdLKg8SFVFhn/gcutk+utYhY+xjrDQfOskMtRlep3YtffS1Vundi8d/Z/aqAU7H7tHhL63XjdztLra8EWGZ73TG94LWdNENT/frR/MhRDnVEN7+kSfjE+m8oLSCy/41gFAWfihqYpiAzf610J94K0ZImj66UYTVRemp2eXVFIKPMyURBBCSHHGkbDGIfpZ3y6rILk1F/wAoKq0uLSqHqA6PSYs9EdiGRUAgFaa8SM0JCq5oI3jGrCJGAWbiAUp/2ihI0QaeDUk/YejET+39tF3jdN884P2DeZSX22dRSs8MV1NXutgUnXel1PzJTh5hq+1+VFMhbzvRko84w3PPLTWl+CQWHMrnAoAld+MdYSF5l9OpUFx0I2hCCGRQQu37D961HiyUi9hSeVxk2cY7D9yxGhebw7S8C3P6I8uK5qoOMxqsRIiSUlwi8wwopuo9v12zd79pr5s7MNIfawnK6t0MIRMCbkzUwzpnHUhA1TGvN69fOr87VciS+tLPU37K0uqzZiuwC02/6w7/WKzvl1R5VRYZx0MUGp/cNuqdfuO7V6hrd5XTvm/xXsfeH++b7RwzIA+8kpDdPY8blNzGzYRo2ATsRp1Yc/NBggh9TX3CmvJQXeWksQmnnNvfMMoibCaJCC36HgMOf/sbA15tdXHds+UExbVMX6SXgUAQMv0MerLMczgTn5lysmZvUl9ZjxJAiD7N5moJOTOcIQG6p5NAQAA/1MjEbeErk0kAAAk7x8hK6+xNaIegAVNRMt4ajKBm6f/uiMn5vTuPWX743IAgJxL05SVNTaFNY5zKvU73F9eZoV9Fjns3iwxNPeyZ2a08zoNMSQ19uT7qEqAoq+GCv1UDB573VmnjiRGX/fPA4DcBhOFAGRajJZGiEtL1+K+nf25DWP4kZC8staGY7fs7K6vGd0bic9zjC77d5QNYBMxCjYRS1H27f7OgSLcSnP2fisgA1D8bizhEpt4/v9MxC+76Fg0ufDSvME8JF5uhLj/W/0xr+FzKt1E+pdzAaqDbLQFSQP17mWXhVjMFmkwUbDtYCSy4oQLDQCAGn5rGqnPyJN+9F/5vKvT+ipr6tPbulnMRDV+d7YqCPSaf+JLYf73VbLiU3Y41AEALfHwWCVlbdOYxnpKWegFdRn5+Tbx1WH350lzjdFbNWN4XyGFebf9cumvvrmfDeUU5De+K6pJejFPGYlNOR5XDSVB1wc2mCjr4HhFYcmJLzIAACDaZqw8Ep53g17lCru6XhrJnXJJaTVcbCJGwSZiGeoyXx1fIsnfa8gKK788CgAA1IfaG/Dyjrb60KiDgpADQ7hVV55PoxWdn6XKwyM8dPJkOWH51Rc96a07TSbKAACo8Twzh4dvwK6LV4wXSovSTRR0XZ1TRu+sDwAAUEJsp3IpjzwZQG+pzrk8VVF5yIbgrjURlUqtqalpaWYJrT7N3XqSKElKx9wru7g42nGOmPCYdTappVXk+hSrCUrKWiZNM3/KQs4NkpGbb5NQE/ZoiSIHB0IIIc1tDk3VmLzPhnIKcqufZQNQQ2/ry3LwLrnqkxR4ZzBXn4Y60fj+cprGDWr7eWvKIC7No570hv2YO4YDkPSxL0mtXlT7TEQmk3vsKHZsItaAnP1s30xh4b6LLV/nNTuc6X5OFclvvRtF/y8t/dNiYb4pu1/WQMGxqQNlh5hF5/68vb4fSWSCjV8RNL2d6V9Op2coibScLi8mp6A8QEx++dVfJjrjDQANJlIaecKf/u1njony8vJsbGzi4+P/maIu+aa+BEKIS1h+4CBVZQVpPsTBwyOosujYt7S8R0tUlTXWBzU+vyU++5XkZVY+y60Pe7BADokMXqw/a7B47+HHv2Q2nI5uIoc0AID6n5eWDxLoPW7vhcOD+ZTWW4cCZFiMV5EfuT+eXmD8jclqXEMsPejdkFG3tqkgmeNfW+/sb5+JPDw8bG1te+biothErAD1p8NORW4kOmb7E7dvXh5uri5fv7p5xxbWUfJ8d2nyKkzZ8y2rGsgFn07N5+dV2/M2GyDj0GRVmSF7kgCqEhwXy/FITjoUVQ2Q72fUFw1tMhFAXuDNSb0RQkh+zY00GpQEXR/EId3cRKS+I5qZqI+SZlebKCkpafHixW5ubv9MUZ/vbWdhsHnzpo0b1q9ft3rpdEU+HumB41cffhCZX+dvOVZCacKjtIa0CTcWS0spH4+sp4bcnSmGZl32KisM2KQmIDJ8u2cOFQDyPjUzEUBN3JNFavwkaVVxrn4GVxpNNGJfXDMTaR517xoT3b9/f/ny5eXl/1r+rzuDTcQCUH8enqaIEELc/HzcXCQSJycHBwe31MZXSQC1Ua/M1QT4FEbMXDx3bG8ukvaOm4nVAPDTbJScgPL2iCoAIEc+2CKO0ISjrgVpvlul0ADds6m/Si/3uLBUHCHuhZdTaFDsb90HCSw85g4AAJTAy9pIQu2wL/2xyz6rLSbZf2VA15qouLj4+fPnKSkpbc1Q5rNMQmTqLkf6/wr8zwwW7qW97UFsYVXej7frh4hKDDOOrANy4C0dYTT9rEs9QPb7PQO4uEebPs8FKP26XVpWWu9Jo7qAFnl/izxCCPUxuBIGkLF/bD+ZYXsaTWQ7UZXjvyNudBP9uLmlH5I69qWzTBQSEvLy5UtcJ+pWsJOJaMURvm7vnJ2d3rx+9QunwPQyAABqRbz38wuHjbfv3Gdt75JcTG9PqYz77vHVK7qc3qBUmxvo/uatz8+KiuJo9/fe4cnNJ4vQyjL8Pzp/DE6tBiCXpHg4fw35WUT/pDTV772rd0IJvczaZD9XN6/wUipAF5qouro6Kiqq7RWB6tQPC8SFJ2x92ND0QylyOrhQnk9IbeTYEQMk+JSmnPqSCQDVfrY6Imja6U/lAEAteGY0mqOX2vHPSXlepvLyMs1MBEBOvbFGBSG5jZcbTCQ7bG8zE3E2mSjq5tZ+qHfnmSgjIyM2NpahLN0GbCK2gdq1y910mYnS09O3bdvm5+fXxvRUckVabExyVsmvJm5ycYyv8+2LZ6zvOPrF59PlTK0qSo2JSimooP+XUpkbFRaekldZV5UbHx+XUfp/9Q5yaWpUVFxmYQ0AOTc5IS4xt5Z+t2uLkhOifuZVNqi6OCshKi6/ovVZwe0z0YsXL3bu3NkzFzzotiYqLS1VUlIyMTFhdiDsys6dOxUUFLqgK6esrGz//v1BQUGdfaKuJCgoSFBQ0NHRkaFcrq6uFhYW1dXVrSftdrRkosrKypSUlMTExKS/kZycnJaWlpKS0vxgYmJiamoqhUL5V5m5ubnv3r1zc3Pz6ky8vb0dHR2lpaUXL17s7e3dqefy9PT08PCIj4/vghUOq6qq3r9///79ex8fn069KG9v73nz5omJiTk5OXX2Dfz06ZO9vT2jq4glJye/fPnSxcWl8VZ4e/v4+HRyqG3n/PnzvLy8e/fuZejuPX369OPHjz1zsceWTOTv729oaLh+/fqNf2BgYGBoaLhmzZotW7Zs2bKl6fj69etNTEyKior+Vaa5uTl9o3qOhqEenULzwjk5OTvvRHRIJNLYsWPLylofettBIiMj6Wfk5ubu1BtIIpGa/t2pJ6IjKyvr7OzM0K2wtramx8nNzd3Z4THEb7er+Z1sS8YFCxbk5eW1fv3djpZMlJOT4+Xl5ebm5vH/eHp6fv/+3cjISEBAYOLEiZ8/f/by8qJ/5Obm5uvrW1NT868yd+/ezc/Pf/z48fudzMWLFyUkJKZNm9bZJ7p///7MmTN5eHhyclpfv62DFBQUTJgwQVRU9Pjx4w8ePOi8K3rw4MHkyZNFRUVtbGw67yx0zpw5M2rUKCcnJ4ZuRUREhJqamoCAwOXLlzv1VrSPvXv38vLybt68maHYNm3aNGfOHGwiBnj//n2fPn0QQoKCgkeOHGl7xkuXLomLi2dlZbXvvG2nsrJSSUnJzMyss08EAMeOHRMWFu4CEwHAq1eveHl5379/39kn2r17t4KCQgsv2kRBpVIdHBwY6MVv5Pbt2yw7oyIkJERQUJDRNRujo6OfPn1aX1/fSVGxMgybqK6u7vHjx/z8/M0rloaGhiUlJW3Jfu7cOTExsejoaMZDZYyu7Dvbv39/l5koJydn+PDh06dP7+yXwa7sxY+Ojm7H5dTX18+fP19MTCwmJqYzAusI7es7y8zMjI2Nxe1EbSI3N9fMzExXV1dXV1dJSWnGjBmrV6/esGGDp6dnW7JjE3Wcs2fPIoS8vLw69SxdZqLU1NSNGzf6+vq2I29QUJCkpOSyZctYrR7RPhM9ffp069atlZWMrK3ZXWh/L35VVdXatWsZ/QJhE3Wc2NjYvn376uvrd+qrU1eOJzI0NGz7eKLfOH78OCcnp52dHbFRdZD2mejly5e7du3C44kYo7CwUE9Pz93dnaFc2ESEsG3bNiEhoZ8/f3beKbp4jHUb3+7/pKysbMSIEYMGDWpHS1Pn0T4TZWdnR0dH98wNL9tvooKCAj09vZYmLv4NbCJCcHd3FxcXt7S07LxTsNj6RC3h4uLCwcGxe/duZgfyC7w+EaNgExFA15uIQqHMnDmzX79+ndduzUYmAoBdu3Zxc3N/+fKF2YE0gE3EKNhEBND1JgKAJ0+eCAkJ3b17t5PKZy8TJSUlqaqqjhs3rrCwkNmxAGATMQ42EQEwxUSVlZUDBw6cOnVqJ00NYy8TAcCTJ0+4ublPnTrF7EAAsIkYB5uIAJhiIgA4e/asiIjIp0+fOqNwtjNRdXX1ypUrhYWFw8LCmB0LNhHDYBMRALNMlJycLCoqqq+v3xmFs52JAODHjx/S0tKzZ89m+mJj2ESMgk1EAMwyEY1G2759u4yMTEREBOGFs6OJAODcuXNcXFy3bt1ibhjYRIyCTUQAzDIRAPj5+ZFIpOPHjxNeMpuaqKqqavz48UpKSomJiUwMA5uIUbCJCICJJqqoqFi4cKG6unpGRgaxJbOpiQDAx8eHl5fXwMCAie9o2ESMgk1EAEw0EQA8e/YMIWRvb09ssexrIiqVun//fm5ubkZXGvkLldF2l46eexXJ6CqK2ESMgk1EAMw1UWFhoZaW1qRJk1qcOUmrqSgpKqmsb/M0b/Y1EQDk5uZqaGgMGTKko3+UvNezVbhl1z4rYnB6PDYRo2ATEQBzTQQAZ86c4eDgaHF2fumrg+tnLzsVVdbWR4qtTQQAjo6OCKHDhw93qJSyzyuGS6oZvmN0Tio2EaNgExEA000UGxurpKS0Zs2afy9tU2CzQE1Qbq1vYVtnV7K7ierr6/X19fn4+Bif5U+rK89LS09Pz8rODrs/d7BY/zW3fqRlZ2VmpGcWVNW26QZiEzEKNhEBMN1EAGBgYCAiIvLv2fn1j9aOkh1oFN3mad7sbiIAiI6OVlJSmjx5MoPrbNQF31osJS4uLiEpKSbEzcXBwSskJi4pIS4q1m/VK9/SthSBTcQo2EQEwAom+vbtm7i4uIWFRfOD1QWxbx8+fPjIzt7+2nptJRGZyUeuP7C3e/zo4ZPvsdktL27UDUwEANevX+fg4Lh8+TIjmag5oY7WZ0+fPXfxwlF9dXkBsVHrjp09f/7MiZPXXsdntmluDTYRo2ATEQArmAgApk6dqqam1nxjlbzQ26MlhHoJCgkLC/JykjgQV69eQsJCvfgEFIzvebW8f2D3MFFtbe2MGTPk5eXj4uLak7/KZeUIqUFGH1rfa/H/wSZiFGwiAmARE7148UJAQKD58OL6yryo4AA//4DAwK97p6pJyC28/9UvIMDP93tISn55y23X3cNEABAUFCQkJLRq1ar2LHGZ77ToP5F+Bi+Lcd9ZJ4NNRAAsYqKysjJVVdVp06bV1f35E157f9VI6QHbI9r8495tTAQAlpaWJBLp6dOnDOcs9t63csrSk26taPsPsIkYBZuIAFjERABw4cIFAQGBv83OL7y+bIiE8ka/op7Sd9acvLy8ESNGaGpqpqamMpaTRq4oLS6trGN0tw1sIkbBJiIA1jFRcnKysLCwgYHBH3tdVPo8OLPfyiG1qqeMJ/qNT58+8fPzm5ubd80q0dhEjIJNRACsYyIymbx79+7evXuHh4d3sKhuZiIymWxkZMTFxeXh4dEFp8MmYhRsIgJgHRNB4/zPkydPdrCcbmYiAEhLS1NRUdHW1i4vL+/sc2ETMQo2EQGwlIlqamoWL17cr1+/zMzMjpTT/UwEAPfv3yeRSGfOnOnsE2ETMQo2EQGwlIkAwMHBASHUwcegW5qITCYvWrRIQkKi42+vLYNNxCjYRATAaibKz88fNWrUuHHjOrKbaLc0EQBERkaKi4svXLjwb2MdCAObiFGwiQiA1UwEACdOnODm5vb09Gx3Cd3VRABw9uxZDg6OztugCbCJGAebiABY0EQpKSnKysorVqxodwnd2EQVFRWjR49WVlZmeHhRm8EmYhRsIgJgQRMBgIGBgZSUVDvnW3VrEwGAp6cnNze3oaFhJ60wi03EKNhEBMCaJgoICBAREdm/f3/7sndvE1Gp1D179vDy8n78+LEzyscmYhRsIgJgTRNRqdTp06cPHjy4fTbp3iYCgLS0NE1NzWHDhuXl5RFeODYRo2ATEQBrmggAHB0dubm527f5V7c3EQA8e/aMRCJ1dIXZv4FNxCjYRATAsiYqLS1VVVWdOXNmRUUFo3l7gomoVOqqVauEhIQCAgKILRmbiFGwiQiAZU1Eo9FsbGz4+Pg+fPjAaN6eYCIASEhIkJeX19HRqampIbBYbCJGwSYiAJY1EQAkJCRIS0tv2rSJ0U6iHmIiALh69SpC6Nq1awSWiU3EKNhEBMDKJqJSqcbGxr169YqIiGAoY88xUVVV1bRp05SUlKKioogqE5uIUbCJCICVTQQAXl5evLy8VlZW/96D6C/0HBMBQEBAgICAgL6+/h/rOrUTbCJGwSYiABY3UXV19dKlS5WUlBiKsEeZiEajHT16FCHk6OhISIHYRIyCTUQALG4iALC3t+fh4WHowehRJgKAvLy8YcOGqaur5+bmdrw0bCJGwSYiANY3UWlp6ahRo7S0tNrebt3TTAQATk5OPDw8e/bsYeg19q9gEzEKNhEBsL6JAODUqVOCgoKurq5tTN8DTUQmk7ds2cLLy+vt7d3BorCJGAWbiADYwkTp6ekKCgq6urptTN8DTQQAycnJSkpKHVzaCbCJGAebiADYwkQAsHnzZllZ2Tbe/J5pIgC4e/cuFxfX2bNnO1IINhGjYBMRALuYKDAwUEBAYN++fW1J3GNNVF9fP3v2bGlp6R8/frS7EGwiRsEmIgB2MVF9fb2Ojo6GhkZWVlariXusiQAgLCxMWFh4xYoV7X5HwyZiFGwiAmAXEwGAk5MTJydnW2bn92QTAcCZM2e4uLjs7Ozalx2biFGwiQiAjUyUn58/ZMgQHR2dsrKyllP2cBMVFhZOmDBBRUUlOTm5HdmxiRgFm4gA2MhEAHDlyhWE0JcvX1pO1sNNBAAuLi68vLxGRkbtyItNxCjYRATAXiZKSEiQlZXduHFjy9vsYBMBgLGxMScn59evXxnNiE3EKNhEBMBeJqJSqSYmJkJCQi1PPccmAoC0tDR1dfXhw4eXlpYylBGbiFGwiQiAvUwEAF5eXqKioseOHWthWgM2EZ0nT55wcnIePXqUoVzYRIyCTUQAbGci+qbMLYsGm4gOhUJZvny5pKSkv79/23NhEzEKNhEBsJ2JAMDBwUFAQKCFfVCxiZqIi4sTFxefN29e2zewxiZiFGwiAmBHE1VUVAwbNmz06NH/WhsMm6g5NjY2CKG275KCTcQo2EQEwI4mAoDTp0+LiIj8qzsfm6g5ZWVlU6ZMUVZWTkxMbEt6bCJGwSYiADY1UWZmpqys7L9m52MT/YaPj4+wsLCBgUFbdgHBJmIUbCICYFMTAcC2bdvk5OQiIyP//Aib6DcoFMqBAwe4uLjevn3bamJsIkbBJiIA9jVRaGgoFxfXgQMH/vwIm+hPcnNzhw0bpqamlp+f33JKbCJGQXVVleXlFRUVFRUV5RUV1WQqtemzmuLs5KTkrIK/bx+KTdQE+5qopqZm/vz5gwcPTk9P/+0jbKK/4ujoyMfHt3fv3paTYRMxCjqyc+2S+XTmzluw9VVENgAAtSLq3fk1U4erqg7UGL3o8D33nD+WP8YmaoJ9TQQAb968QQjdu3fvt+PYRP9i/fr1goKC3759ayENNhGjIBle1Gfk5FmzZs3Q0dGZof88LBeAlu19cZiogJrO9nMXz5suG87NobLTLu630bjYRE0QbqLv379/+vSJqNJapqCgYPjw4dOmTfttQgPhJvL09Gx12i1bkJSUpKCgMG3atBbWMyDcRDk5OQ4ODoxOOmEjkKzosLtRRbW1tdVVlRUVVXUUgNrsR5uUOVWWv8kGAICqYJNhIn1nHor9/1Fd2ERNEG4iV1dXTU3NRYsWdc2je+XKFU5Ozt/ORbiJXrx4oa6uvmrVKi8vL6LKZBa3b99GCF2+fPlfCQg3UW5u7vjx46dMmXL37t22dN6xHUhMaYNLTFxIQFBsRoPgqXn+xv04NVdfzGxIU+16RJNr0JxHSf+Xky1MtGvXrs4+EQAcOnRIRESkuLiYwDK1tLQQQlJSUkuWLHFzc2N0V3uGiIuLU1ZWXrt2bfMxxISbqLy8/L///kMIycrK6unp+fr6UigUogrvYqqqqubMmSMnJxceHv7XBJ3xdrZnzx6EED8//4QJE+7fv19R8fcGXDYFIdRv1LBhmuoD5GQHrzr5oaQe6lM/LBbpNXWHXXlDmlr/m/O5eo8/61XZPCeLmyg9Pb1Pnz4bNmzIz8/P60zy8/N37NghKCj448cPososKCjQ1dVFjQgJCS1evNjV1bXzKuc7d+7k5eWNiYlpOtKqicrLy3Nzcxm6UY9ezlMAACAASURBVLNmzWq6KBERkVWrVvn6+ra6ZhtrEhQUxM/Pv2rVqr8OUm/VRHV1dfn5+W2/gfn5+devX2+6e7y8vNra2o8fP87Nze347mysABowaYe9e3h8hJu1/pheXMoWn5LLUj7MERGdYfKiuiFNXdA9XR7R0VZf/u83n8VNlJSUJC4ujhAaMGBAv85kwIABfHx8CKG+ffv279+fkDL79+8vJiaG/mDRokVtHOPLKD4+PpKSkhYWFk1HWjYRjUYzNzfv06ePsrJyGy9KRUVFWFj4z4tau3ZtRkZGZ1xUZ2NlZYUQevbs2Z8ftWoiZ2dnVVVVJSWltn8l5OTk/rx7gwcP9vDw6AYyQjF5je+c2W+WaXArbn2eFOuiKyk0zci+sfJX639rIbfkuDMe5c1zsriJSkpKTp8+bWBgoN/JGBgYDB48mEQi6erqbtq0iagyNTQ0/vzO7d+/v5NuHY1Gmz9/vqKiYmFhIf1IyyaiUqk3b97csGEDQxc1YMCA3y5q2LBhx44d6yS9djY5OTljx44dMGDAnzsUtGoiX1/fjRs3MnT3dHR0frt7srKyGzZs6CYm+lWzrP62bZKk1JJ7ySlBZgP4Rq670rg9eJX7KS0OFZ1b0f/3Vs/iJupKDh8+LCgo2MG9+n5jw4YNTV84NTW1U6dONX916gyePXsmJCR08+ZN+n87oxd/0aJFTRc1dOjQS5cusamDmvj06RM/P/+fK8x2RjvR8+fPm+6epKSkkZGRj48PgeUzF3TxG72HDMjhN6f34dQ67lFXV/BonRz/yA1f6V/C2qSzU0R7T9jh9/8N9thETVhYWAgLC+fm5raetG2UlJRoamoihJSUlE6fPh0bG0tUyS1QU1MzZMiQptn5hJsoPT1dRUWFLtbLly///PmTqJKZCI1GMzQ0FBAQ+G2FWcJNVFdXt2XLFnr7mpGRkb+/P7XZIORuAOo1ZM1tZ2/fT/e2TlISUl705EcZACS8P6zKzzti1cl3Hq63zHR68cmvuuD7W7scNlETndGLr6WldejQofZtLNFuzp8/LyIi8uHDB+gEE718+XLEiBGnT59m01ahf5GZmamsrKytrV1e/qv5ojN68SdPnqyvrx8UFFRbW0tUsawDWjNxiPogNTX1wZpT19z0TGs4TCn4fNFgtLqa2sCBaoM0Fu9/nPTHCAZsoiYIN1FERARTqgyZmZkSEhJr1qwBgO3btxNrorCwMHZ/F/sXjx8/5uTktLKyajpCuIny8vICAwPZd9xDqyCglCb9CAmJSi37oy+ypjA1PCg4PvPvnazYRE2w9WyP5lCp1F27dsnIyCQlJZmZmeHZHm2krq5u8eLFvXv3DgkJoR/Bsz0YpdvOxe9Kuo2JACAwMJBEIl24cMHMzExeXp4AE5GrsmLDo1MLmgZN1hUnhUcl5JT+fa1INiUqKoo+DJX+jkaEicglWfFRidmVv+4TuTgzNiolt7I7VoywiQigoyaqzY30c/cMSmt8VsnpMf4ubsG51Uz4xtXW1i5atGj06NEzZsxQUVEhwET1xV/P6w0cNs/GLR0AqLnf9k7VGLfSKrC4Wz1PNBrN2toaIfTgwQMA8PLy6rCJaoLtTTSHLL3t1fC9Imd8OzTlv3kH7DO6VVN1A9hEBNBRE1HynprqKMlrnfMuAIAS/1sL1OSHb3uQVsOcQSJv3rzh5+fn5eUdOHBg0/CiDkAtDXs8XxH1GrPHLyXjtckITi65HY9/EDnkgTWoqKiYOnWqnJxcVlZWQEBAh01Ey/O2GcWBhps9zwcAoCU4mQsjsZWXvrd1WX+2ApuIADr8dkariLKbJcstPm6vT6T3kVlSXFJz7gfmMeuXLy8vb8qUKQghgkwEABDlsFuNj3/o9FG9JaQn731L5Aw9VsLV1VVQUHDnzp3u7u4iIiIdbSeqjTu/Qh71Wf0pjQpQ/GRjHw7VhQ4/2X4Q41/BJiIAQtqJ4p4YDejdS0ZVXUx4gIlDBHNfXeiz82VlZVtdnLDN5NzaOAohJDTmQHi3mrn5O2ZmZgICArt27RIVFbW3t+9YYbTwe4byHPybnv4oz/NcIsE7bPW1bGLCZDmwiQiAoBbrvNvLZRBCQzdcZ/p4m6SkJHV1dYQQYSaqSLyip4YQ6jXWxJeYahaLkpWVNXLkSBKJJCgo6ODg0MHSqGmvdAfzi8w653xznZj4wG32aa3nYU+wiQiAEBORMz9v1RJGCMlP3fMti/n9SkuXLkUIETTFpNTzwiJxbrl5enOVBIXH7XAgqqLFmrx+/RohRCKRiOjFL7HbMUGQU2mEkoDMCL1PRQSEx5pgExEAASYip1zVVReWGLnVfJsGL7+22fMcZvePrFq1CiF07NixjhZEq//5+aRmL6S+6mZGRcEbE21EUtph/4PSPZs7AAAoFArd4wcPHux4aUVfjwwXQwhxjTV62w1XSGsEm4gAOmqiunLXUwuEENf8C/419UXPd41FSMbILqSGqW1F27dvRwipqqoWFXXoh5hSEH5qbj+Z0eteJ5IBALI9do3prTzLxOP36evdChcXF4TQjBkzKisrW0/dMnVhxmPkOEh9Dnh13xoRNhEhdNBE1LSve5aNHr3mchy9KTfDZc/Skdrrr8eWMLNetGvXLvq077Zvwfx3qOTK0uLy2l9apdaUl5Y1P9AN8ff3J+buAQBkWc3oLzHYMLRbt/RjExFAdxpj3QR9IUopKSkdHZ3q6urWM2Ca4ePjw8/PLygoqKys3P62trryzIQQtwfGauIS8y8FduL6wSwANhEBdEsTbd++XVFR8ciRI+Li4k5OTswOh83w8PCQlpamr2egp6fXzmXIK2NuG48VQAKaC4+FFHVvEWETEUG3NNHWrVv79esXEhIiLy+/du3abrAqYFfi4eEhKCjo6Oh44cIFDg6Oly9ftqcUWkVi8OcXr75EF3TLYdX/BzYRAXRXE9EXk7WwsJCQkAgODmZ2ROwEfQbsixcvKisrR44cOWDAAAIX0uuWYBMRQHc1kZycXE1NTWRkJBcX15EjR3C1qO00n4vv7OzMz89vbGzM7KBYGmwiAujGJiotLSWTyStWrFBRUUlL67YDfAnnt1VBDAwMevXqxejD0qPAJiKAbmwi+qogjo6OnJycDx8+ZHZQbMNvJkpLS1NQUJg0aRJRM4q7H9hEBNDtTVRSUjJu3LjflmrGtMCfK6U9evQIIXTu3DkmRsXKYBMRQLc3EQBcuHCBRCL9toMF5l/8aSL6CrNiYmIRERFMDIxlwSYigJ5gouTk5P79+y9btgy3W7eFv64eGxISIi4uvmzZMjxS9E+wiQigJ5gIALZv3y4iItLZG0B2D/61jvW5c+c4ODjwSvt/gk1EAD3EREFBQZKSkiYmJkyMil34l4kKCwsnTpyopKSUnp7OlMBYFmwiAughJgKA2bNnDxw4MC8vj1lRsQst7O3h5uYmICBgYGDQ9VGxMthEBNBzTOTs7MzHx2djY8OsqNiFlncZ2rVrFx8f3/v377s4KlYGm4gAeo6JysvLNTQ0pkyZUlXV/fbmIJKWTZSTk6OiojJq1Cg8vKgJbCIC6DkmAoBr167x8PA4OzszJSp2odWdF1+8eMHJyWlpaYn7IulgExFAjzJRamqqpKTk+vXr6+q6/wTxdtOqiWpqatasWSMuLu7n59eVgbEs2EQE0KNMRKFQ9u3bJyYmhmfnt0BbdqOOjY2Vk5ObM2cOASvMsj/YRATQo0wEAH5+foKCgkeOHKFSmb3uP6vSFhMBwNWrVxFCt2/f7pqoWBlsIgLoaSaqq6tbsWKFnJxcRgbTd2ZjUdpoosrKyhkzZkhJSSUmJnZNYCwLNhEB9DQTAcCLFy9IJNK9e/e6OCp2oY0mAgAvLy8RERG8KiY2EQH0QBPRZ+ePHDkSt3H8lbabCAD279/PxcXl6OjY2VGxMthEBNADTQQA58+f5+XlxbPz/wpDJiosLNTQ0NDQ0OjJg9exiQigZ5ooKyurf//+ixYt6sqo2AWGTAQAzs7OJBJp7969nRoVK4NNRAA900QAYGho2Lt378jIyC6Lil1g1EQ0Gm3jxo2CgoKenp6dGhjLgk1EAD3WROHh4SIiInit+D9h1EQA8PPnzz59+kybNq1nTgHBJiKAHmsiCoUyd+5cNTW1zMzMLguMLWiHiQDg3r17JBLp8uXLnRQVK4NNRAA91kTQ2MBx9erVromKXWificrLy+krzEZFRXVSYCwLNhEB9GQTlZWVaWpqTpkypbS0tGsCYwvaZyJoXGF2yZIlFAqlMwJjWbCJCKAnmwgAbt26xc3N/e7duy6Iil1ot4kAwMrKikQiPXnyhPCoWBlsIgLo4SZKTk5WVFRcu3ZtbW1tFwTGFnTERGVlZdra2ioqKj1qhVlsIgLo4Sai0Wj79u3j4eEJCwvrgsDYgo6YCABcXFy4ubkNDQ17zhQQbCIC6OEmAgA/Pz9hYeFDhw71nCenZTpoIgAwMjLi5+f/8OEDgVGxMthEBIBNRCaTdXV1ZWVls7OzOzswtqDjJsrMzOzbt+/o0aOLi4sJDIxlwSYiAGwiAHjx4gUfH9+dO3c6NSp2oeMmAoCnT58ihE6dOtUTaprYRASATQQAFRUVY8aMGTp0KF5VFggyUU1NjZ6enpiYWGhoKFGBsSzYRASATUTnwoULgoKCePMcIMhEABAeHi4vLz937txuv5kKNhEBYBPRycnJ6dOnD56dD8SZCAAuXrzYE1aYxSYiAGyiJnbt2iUtLR0SEtJJUbELLZqInOT6/M6NGzdu3rx548aNu84xOS3VdyorKydNmqSgoJCSktI5wbIE2EQE0BNMlO39/Iy5mbm5ubm5uZn5yZc+qX/NFRERISAgYGpq2oWRsiItmqjSacfkPpISklK9pSQlJPstsw9sZYE0b29vQUHBDRs2dEaoLAI2EQH0BBPFPTqoM1C5n8oAVZV+yqpTDtv9fRAjhUJZsGDBoEGD0tLSujBYlqNFE1GLU2KCA/wCAgMDA/wCwuILKutbLXDPnj1cXFxv3rwhPFQWAZuIAHqCicgVxVlpySmpqWmpKclpWcUV/+wg+/TpEwcHx7Vr17oqUlaEwHYiOnl5eYMGDRoxYkR3XYAFm4gAeoKJ2k5RUZG2tvbkyZN7yJC8v0K4iQDg7du3JBLp0KFDBJbJOmATEQA20W/cuHEDIfTx40fCo2IXOsNEdXV1BgYGfHx8Pj4+BBbLImATEQA20W8kJSUpKyuvWrWqx45y7AwTAUB8fLy8vPzUqVO73/AibCICwCb6k7179/Lx8YWHhxMbFbvQSSYCAFtbW4SQjY0N4SUzF2wiAsAm+pPv379LSEjs27ev1TlTNTU1sbGxFRUV7TsRa9J5JqqoqJg7d66kpGRsbGy7C6HRaGFhYSxVscImIgBsoj+hUChLly6VlpZudTfB9PT07du3+/v7t+9ErEnnmQgAAgICREVFly9f3u4S6uvrly9fHhAQQGBUHaT9JqqoqFizZg2jjWfYROxCB00EAI6OjsLCwq0utp+enm5oaOjn59fuE7EgnWoiADh69CgPD0+7V5itr6/X1dVlKfszbKKqqqrExMSMjIyIiIiFCxc+e/YsKysrKSmpjc8hNhG70HET1dTUaGlpjRw5suV26+rq6tjY2PLy8nafiAXpbBOVlpYOHTp00KBBWVlZ7cjeHd7OiouLjY2NR40aNXr0aCkpKQ0NjQkTJsybNy84OLgt2bGJ2IWOmwgArly5Iiws7OTk1EKaoqIie3v7bjapqrNNBABfvnzh5OQ0NjZuxy4gVCrV1taWpcbBt+ft7Nu3b2pqaqgRHh4eW1tbKpXalrx0E3WksY0FsbCw6K4mKioq6kgh+fn5CgoKS5cubSFNamrq0qVL3d3dO3IiVoNuInt7+847BY1G27lzp7CwsKurK6N5qVTqxIkTWeqet7OdKCwsTFtbGyEkISHB0O3urnUiISGhbmmiju+MbGpqKicn10KTREFBwa1bt37+/NnBE7EUXVAnAoCUlBR1dfUJEyYw+o5GpVLPnj2blJTUSYG1g5ZMlJ6e/vz580ePHtn9watXr/bt29e7d+9ly5Y9f/7cwcHhzzT379+PiIj4rcwtW7YghCZNmrRmzZpV3YL169dLS0tzcnK22knEXqxatYpEIi1ZsqQjf6m1a9dOnjwZIdSvX7+1a9euXr36zzTLly/ftm1bTEwMs6+YSHx8fDg4ONTV1devX9/+71Zr6Ovr9+/fHyEkJia2ZMmStWvXtjGjrq6uvr5+XFwcs+/TL1oyka+vr6Gh4aZNm7b8wbZt23bs2LFp0yZDQ8Pt27f/mWDLli3r1q179erVb2VaWVkNHz5cQ0NDU1NTo1tAvxA9Pb1u1ua6du1ahNCgQYOGDh3akZszbNiwIUOGDB48WFNT888/+tChQ1VVVRmtWbM+Xl5eCCEZGRn6t72TGDJkCL38gQMHarT5mdLU1Pzvv/9ERUUdHByYfZ9+0f5e/HZDJpMrux1dfxs7m61btwoKCiYnJ9fW1nbw5lRVVf3ro9ra2tjY2C1btrBUj3LH8fT05OHhuXbtGpVK7eDda/XelpeXV1RUtHCT/8xSWlq6dOnSoKAgZt+nXzDBRBi2YOvWrQoKCl0wn55MJsfGxpaVlXX2iboSDw8PQUFBVt5ROiIigqXGtWMTYf4OIb34baGwsPDRo0fJycmdfaKupGtarNsNlUq9evVqaurfF95kCthEmL/TZSbKysrUXb7Mw8Ojs0/UlbC4ierr68ePH+/l5cXsQH6BTYT5O201Ea26uKSc3HyWK41SV1NdU1NTU1NTXV1TW1dPA6CRq4ry8kqq6n6bDltbVvgjKva09bX4X31ntLrK4rz84urWl1RlXVjcRBQKxdLSkm36zlgPSn5KTGhISFRSdm3zw9S68qKCvLz8/Pz8/Py8/MKSmvo2DbPEtEDbTFTx5fxmvS1nYn9Zoy7J54bhxnV6urq6urorlq/YYnYtCaAu4tnWqWPMX4T+3x8OyL5nVo8aN/3g89hmf7CqgIebx8zf+SqejVXE4iZiQdjGRPXFP59Zbhg/uF9fZWVllVFrDt6PKGj4fa2IfrxlxezJ48eNHz9+3Pix4yeuex2Vz9xouwGtm4hW4HndQIULyYw0CG6SBiX36RYlxCM2eNzUKRMnjB83fv7q43EA1V4Xx/Gj2dYe/z/Tqe7Dlv8QQoKqq14n1TQeLP98YiSSmXw1hNwZ19U1dNxElOIkP9cPb999+h6d/f+/q9S8+MDP75w++4TnVjccIhcneLu5h6b93gJdlh3z9c2HiMzS5gdrcuK8v7rG5lcDK8EmJqov/nxkAj+P5DyTq3ZPn1zdt1wOCcwwe0F/SiIvzxUicf43c/ma1atWrtTV1dvzJaFDcxQw0JqJKmJdTq4fKykk0ZuXpDLBMKTRRNTiMPOB/CozzIJKqqsqykuLS0rKqmgAZZ6XJougBTZe1QAAlPx4fzevsKzSko87tSU4OfgQSXPT7eSG+lL519NjkKKObSgFoDYtOiIqKbc8P/bjk9u37ZxjiuoBIDv086PbN598DC5k1SUhO2iiNA/bVZM15KQVFBVkFQaMXnvKKatB1IWed8zGDZKVkZWTle47duWBL3FVAFDqf2K4mtrq279NoqKGOx5RFRAZpHfxR8mvo1mvDo6V77v3w89WFo7qWtjDRPX5/kYq3CoLTja29efdWCAlqLn8QzEAVD7S1ZRV0HmXQwGg0Wg0CqWe0niPi+N9Hl603H/A6p5zSCkVAKhZ0d8/fQ5MS418e/uMxYGTDp4JtUDLC31vc9zi0Jm73gklf4+g59GyieLtjy6cvuT0U+ejI8X7j9ncVCeqTHg6ml9y8tZH6YXJkZGJJY3HyzwvTRbhWHQjAAAin+4doaKos+teUk3d521aA5SHbNqmI8jbx8g+ggLQZKIbEQCQdHLJ5CHDZi+doa0+QElKUkp9pskVq21TRwzu10dWrLfyrIMv0lloPvkvOmIiavYHXXUhzn7Lb7738vXxuL5tvKCg9JbnCQCQ620zToA0dM3Jz97eX+7uHcqHRhrezwao8d2vICU+x/pHs2JoNKAG2e+RQQghUb1rvk1VoPQnRoO4ebe9iu3RJkpOTr59+zajw5Fp9ZVpP8JjE/Ma7h0t02aWhMjw1S6lANTw7SOVeqtv/xTw7eO7j9+jMhvq9DRytOPB8Upy8mpDh/6n3FtcZpqJfSGZ/P7oij5iA8doj9IePVJDWUJCfpLhlnXzp2gNGzpEUVJMcuxGx6iafwfydyIjI+3s7FhqjYWO07KJasuKi0qqAQqvjZdQ0v71dpbivF0IcQnLjpyoNWTQAKW+Wro3vbIAoNzTeooo17KrnzyfHBoszK8808wlrYwCZCd9jb6DFjjHfD80TYS7r+6bRApAresvE8Xu0hBBSEzv/Mf4n4mup5dIICTQf5Gte1xior/VEjXENcnhByv+eHTERCUellqD+m18mtjw/6K3cwb2UlzzGmhlbw+ORVLznjZUfcpemg1Hiksck2i00KP95WTm20QDAFQnfnhkY33nXWZdbZjDHjlOKVkhESG5qbdDGm5UxlNjzV7CO98lAqUs4OXdp1+8fT4+tNist2rrEcegrPLSn29sLNbr6hoeux2Q0XVvcF1tom/fvi1fvrxjfcN14XY7ZJGQzp435QCUuOuj5TgRUh41fMRwjQESokqLDr0prKdRsjwMVEiSE43dU6uqqtIfbv6PT2nK7cic9xZzuRAat+95RkVlScijJcoI8WpZvY2pqKwKfrhNBIltvPad0eZuJyenTZs2dbNNddrUYk3OuDRGvJmJKBG3V8grKE7edOFzYLjvu2tLBoqLa6x1q4RaX5sZ0tz/TRwp20tQUedYWMNDUfNWX0NeacbnSijwvqgtwDlQ/0Extd77wvhfJhoq11t1jR/9iYi6qNWXQ8XoA/01LtR6bR+keOEbK+7/1aE6UX11cW5WUW3Dzy458uoYWa6h+7yh+uf5JYI8sw4GNw7pj3y6WxgNPfmpoO6HlYqc3LI7qVCVdH3DSEEh+RXnXatoEG6/S5R73P5jR+erC8jMtIqpAWg00e5P6VAceWSsoJiE/LAJ0+fOmTm0r7iMmtbs5XPGjdOZM3O0vBCv6oKTsbX/iJJoutpEvr6+K1as6ICJqiKe7xtMQsozLb7n0wCgwv/a4vGDtfVOuv5Iz00OurN9Qi9uxQNffia5n5Dm6L/tTsPPR1Wm3xP791E5eY57ZwuSNO5GlAAAVAfsn83FMel4eBkAQFngg8kcpCUnPjBaKXJycjIwMOiJJqr7zURQlRMXGBic2viopDtuFJOU2+xcSg64MVsOIcRJQmjI5rtZDU8Z3UTTXucBQOnHI7N4UR+zZ4Fu1lM4legmijEarqQ45nAS/cch6tKYAbyjz/rRq71hV/T7c/Q53+1M1BxaUcTxWcrcYiNto8qhNHj/aJKc3pmYxvWIEt8dG4AUTB3iyiJPqyn1mWf19JrBOBEhZb2LrvkUAKAFPzISRCPOfU378Xi9JIfg8kt+ZICc5iYagZDE5Cs+BQCQ6mwijJCCzr6QMgCofrFRVUBuhE0Mw4sftQ8mmEhXV7edJqLmu13Z1J+bc8BsC++ml7Da8uyUhKymF6OsF/PU+QbtcHB7uElQTPvoh9+arqufGusI9prpGFcBAFDut3cWr8CS81FVAADFgQ+mk7iWnvzIqInevXu3efNmbCKg1RVl5xSU/mpGLguyUu7dZ/m99NpAWx1JpLb86OU9c8W45QzuhNYDAFQ3mCiHBgBQ5G86qbeo6jTDzcN5VGY3majvuGMpFAAA2o+Lowfwap/xpZ8g9PL6fhzdsE7URH1O0MlF6ohPxeB+WA0A5Puaa5EUV1+Ia6y0JztbDULSu+2iSqMvDpEXFJFX4EFcU/a8bGz7oAY/MhJEw6ze5wFknJ3XB0lNfxBbXfpuj6YA3UQRFhpIcvHR8HoAgMLwWyqccostG4Y7hl+ZKqikeTyoizoF2MdE1WmOh+fIcotM2Hot5tcUJVpRWvyP6LRfVcjSL6tGSgzQf+DhsFNYYLjF69yG45Sa3NSsKkrRM9OZQoKzX8X+MhH/onM/KgEAigPuT8MmaqQ9JqIWOGyeNnXxvuDGOxh7e6mEtMrBgNp6P5spIhzLH0YAJdVquiR3n/kOP6oBqE7NTQRQ4HVhnDjiFhUgDZx3KxIaTWSZ3PNMVBrzbuc4RU7hQYYPghqqmMXBh6dwSy4/FdU4vCH+7eG+SGnv88SquIvqwpw8XIIycsLKc4+FNAxiaTDRcacMAKiOvDdNAimvvvLp3oExoiK7P6VDcfje/zgH6J2JBwCA/BBbFS7l5ScbltkPvTJVUHmIVTA20f9R/u3aClFuwck7HySWkgHqa2tq6sj1VKBF2G4e3mfouW8NxilyOzZUkm/BnaD00MejuAVn7HtLH2JREHxnsoq22f0vDocWiAjNwiZqla1bt8rLy5eWlraUqC797FDe3pprAxvezsghtstFOIUm7LzhExbu4XBiSl9xlfmnftZDtef50VxohrUXFaA86PokQaSw5HRkOfnDelWx3uNeZDd141R+sZpDQgjJT7seDgBRmwf1lhp+IJFuoogzQ+SRppU3/eEIPr9SBkme9srorFvQAegmaveyG0WhdivVe4sr6Vxwa7bAKznp6jo50lhT38a/SfD9DTyk0Rc8yihRVv17S82wfO/jYNafk3/q0Q/FAI1vZ8OOv6UXQva7qifO22fqOG01KVmzL3QTkf7fRErLTjQsihB6GZvoDyoSneYJIoQ4+gyfOG3S+DFjRmsNH6ljYOlVCnVx9ovUBAXUlp5//Ob1veNz1KUkR+5wz6ICJePRtqG9hAastrzz8rG1nmYvDkWdu6EZL40nIDT+aVQ5AECZz87xCE0/Hl4BAFDke2MUOsPJJgAAIABJREFUQjMPOzHaYcDuJqqrqysoKMjPz6+vr6+srMzNza2qqtq0aZOEhER8fDyZTK6qqsrNzS0tLf198zJy7qNVY3RWHo5qakyg5L47vWG4ygA1NTW1gapjVh52T60FgMrAR+tHqe+wD6oBAKjyvGqgPljnilu0q9XKaTobXQp+FUsrDLGar64+Y8uLeABIOrFMZ/rq6xl0EyU81Js9dOXdUHqdIOaxxYzB0x6E5gJTodFoxcXFeXl51dXVtbW1+fn5RUVFrq6uvLy8NjY21dXVZDK5oKCgsLCQTG7TWE1q0bddY6RJ/EOOvI7ILijKz83OzMouKK0BqPG5spKfe9jxj+kAAJUx55bKkDQ3uOYBNehwPznZJXcyAHIebB7OwaV5yj0XAMIeNzcRQGX0BV1VEkKcnAoH3TKwiRg2UXHs6y3z5sybN2/u7FkzZzSw0OiEVyEAQPb3x4bzxo/Q/E9jmPbUVfudoxs6ZigFYbYmy8dqDf1PY+jo6WuufUkGoH67e3jZsqO+GTUAANVxD44uXnLiVWoNAEBFvMvBBQtPPWf43rO7iWJiYkxMTHbu3JmcnPzixYt169Y5OTkZGhpycnIaGhrGxsZ+/Phx3bp1169fb+NIhcrchAAf7+D4nJY6XmhUKpWlRrS0k9ra2hMnThgYGHh4eISGhm7bts3S0vLz5898fHxjxoz58uVLbGysiYnJ3r17ExMTWy8OaOEX5/MghJCQYr9+fRUVFOTlZOQUp5m+pwKQEz8bjhQhKU7Ydey0yYqRvJyyG208qwEqPI1FebknnY0AAGqys94ghPqv9cgqD32wCSGl/S9SmkovCXs8Xw4hRNr9OQ2KgnfII4m5R+hT/nIDLooj4RkHGvYNCzw9AokoWvh3UecZe5ioDdTlpv5Myir586tdU5TxMymjojO/8+xuopycnNevX79586agoCA0NPTJkycRERHfv3+/fPny69evc3Nzo6Oj7e3tv3371mP3uW8BCoXy+fPnZ8+eJSYm0hdc/vz5c2Zm5rVr1+7duxcTE5OTk/PmzRtnZ+e2fe1pUa+uHdhtbGy8y2iHYSM7jj1saIvLCn51cOPSaRPGTpmzfN/1jxl1AADVyR9OHD1y17thJfXEj7b7d5u/iinICn273+TClx/Nv5nVQa+vmpjsd04ogaqsd2dNTz52ozcrVWR8O2l2/MHXhuHDmV7X91md/5qO+87YB3Y3EYbtqCgpKu9ePwrMNFFdXV0l2667Wl9f37TMIDYRBtNBmGMi+jNsaWnJvssmFBYW7tmzh76H8vv377GJMJiOwAQTrVmzprS09Pr16wihVjdNZ1mqqqrGjBmjoaERFRXl6uq6ZcsWbCIMpt10tYn8/f11dXUPHDjQq1cvhNCVK1fYcauP6urq3Nxc+k5eWlpax44dMzIyKilhxamYGAxb0NUmCg4Opm8eS0dbW3vbtm3r2I0NGzbo6enJysrSr0JKSmrdunUstVMCBsNedLWJAgMDZ8yYMXz4cPozvGXLlpfsiZ2dnaamJkKIl5d3+vTpW7du7Wb75GAwXUlXm+j79+/r1q3z9/efN28eQujevXtdHACBTJkyhYOD4/Tp0/RxgLidCINpN0xosV65cmVNTU16erqWltaVK1e6OACiKC4unjNnzsGDB2k02ufPn3HfGQbTEZjTi19YWAgAoaGhYWFhXRwAUZSXl7u4uFAoFMDjiTCYDoPHWBMANhEG00GwiQgAmwiD6SDYRASATYTBdBBsIgLAJsJgOgg2EQFgE2EwHaSrTeTt7T1//vz8/G61W/Tr16/XrFlTVIQ3nsVg2klXmygzM9POzq6bTYyIi4tzdHTsZjsvYjBdCXvsRo3BYLo32EQYDIb5YBNhMBjmg02EwWCYDzYRBoNhPthEGAyG+WATYTAY5oNNhMFgmA82EQaDYT7YRBgMhvlgE2EwGOaDTYTBYJgPNhEGg2E+2EQYDIb5YBNhMBjmg02EwWCYDzYRBoNhPthEGAyG+bTfRJU5MS4vb508vN/i8MkbDp8iM8qpHYyFXPYz0NvT70duaWVeYrCPX1S7lpglV1XXUmgdDIXVqcr44eb81tklML+O2aF0PnVVlXUd/W41UZXg7+b09r1vVCsrqdOqCn54vnv95kt0dmlL36bqrGCP92/ffYnIqW0hFaU6L+ir02tnr9is9i4xTKlKCfry+rVzQGwWuZ1FEA6lODXo/ZvXn/xjCzscU/tMVJ8dcGf5MCnUDDG1uZfdUlr6a7RW5g+HvZqiQnKKmpOmTh+jJjNizbVcxkqglmVHPTu9Y/PV9+k17Y+DLUh+uH0AF4lHdu6nPMKeURaEXJbpbXfOeNshvzKCSqQl7NOWRAgN3vie0mJCSty7TcoIIW6jR/71LaRLezRVESHEufxlegupKn6+ns6NEOq3897PdsUNUJF4fbEUiUSau9+OZTbGqfSymYEQQhO3f+1wTO0xUX1xxIlZkgghGfWJa7Yb7TRcO1ldHCEkMsrwS3q7f6Nrgt/aHrlg9y3I6+4xo+1G+x38GRQRVL63mooQUjR3LGlvEOxC0v3NfRFCEjM+dGsT5b817YsQb58VwUSVSMt7c9Z8w4ZNxx9HtnzjqLmRdof1N+gbPfdPbslZxf7WBzZt0De8HdLSHlO1+eFXdujr6x9+7tvuXW0yrs8XRgjNMH/EMiaqS3C30dfX33rxaWyHt8hoj4nKYl4vEkYIye18EEM/kuN2XksUIS7tsx9SG2LMC3tyydLM1NTU/OjNN/7N9t+hJH17ef6QuamJifnhC29Dspu+ECWJ3vfPHz904OBhy2NWlx/7xhf+ykQt+P76puU+MzMzsyPn7/kkV/4eE6062fvKEm0JhJDo+FXHbzsllZalBr+1OXvJwcvv45PL+/YcsvPJASgLfmN7eI+Z8e7dpub7Lz52TasAAKDVZLs/sT1//alvaEKI8/V9ZmbmFuffBGY2hpz//fVNyz2mJsbGpnsOXrJzy6kDoBT5Prl29tJ9r6gGY1IqMt0eWJ+98sQvvhgAoC7j6yPr/WZmJqb7ztx+97PhT0XN/uFxz/rczZe+AU639pnvv/EhsqIy293u4n4zU2NjY7P9R285hZQ0ffdrcz3srQ+Ym+zebWxmfvj6S5/cegCA5Adb+3EgUu/ZH/9mouJ4d1srC1NTUzOLM8884/9SQazL8nl7z/ryrU/hif6O1y3Mzc0tr3qmVJILI+wvHTQzMzt03j4yt7opeW1u+POrVnvMTM3MLaztXdMb3zDyQpxvWF9+8sE7OtL1ymFT8z0Hbn34UUOtCH191cLMbM/+00990hovhZYZ6nzp8B5TEzPzI9bvgjPocVOrs1ztrp+3feEflhD41mavmdmegxffh+YCQHGM95mFqrwIcYupbT73yDOS/gBW/XCxP3PQ3MzM1OL4lQ/hvx7sqqwwh8tHzc1MjI1N9x6+8Mov+W+/imWhH+0vW99y+p4NQE32/3Dj4sVH76PSwj5ePmpmbr73gp1XAT1beea3l7ZnLj30S2p48EsS3G1PHDA1MTHde/zBp/CGr2Bl0tdnt6yvP/JMqQQAqM7ydLC2MDfdvdvYdM/Bqy+/59cCANSXp315ZHPO9nngz0oAqEzyfXDpqJmpibGJqcVxa6eQnL9ECgBQHfv1/lFzM/M9Jx6+cLq4WAohNHvv44aAKn463Tyz19TM1OyAtZ1Lxl/rAJTS0He3j+43NzE2NjXff+HRl+RftUtyvLv96QNmZiamB0/dcIsrbTiaG/PhgfUl2+f+Ae8uHzlwxPKcra315TvvE4saXnhKEgMdrpyxvu+aVV5TmOB6+/y5ex8CGt5NKYXfnl89bG5qYmp29NLjwKxmMZFzvr26cWSPmZmp+eFzD/3Sf3+E22Oiugxvo0GcCPGrTFh9+u678NRSGrUq0c/ls5t/cl4FAFQku5jqqPI1vbmJ9Ft2+GUWFQCo4c8OTlAUbPpESFnH2i0JAAojHdcPkW7+uiejvd4+tBwAoCrh7q4ZfYWbPuHso7Xyrl/e/8VUn/1it+qvzMITnscmvLGajBDqpaoszosQ4px34sMX2w2KvZqdg09u8fEXmQBQ4rtBRQAhUZVB4weJNr5vauk9i6cAFDqfWNdflPNXLk7JSaYO6UVZdgb9EOKeaHI/GwAAMn3OqfMgpDDzdnAlUBJubpsizf3r5XXEyjMhhTQAmuflzb0R4hBV7yeM0P/aO++wqLKnz3+JHchRULwoKCoIiihiAiWKAmIERRTzqCQTKqKoAzpjjmOeMWcdA0aQDCJIUoIgSFABkZw71v4BIjAzv33e2X3efXbX+q+77z19TlWdz62qc043YDF74/6t0/twuvRKXnfe3kdfiKjt0+2NNhpSXT5SHOj1a0QrUcn5fyTRx8Tf3Uy0O+/g9DFfey6+p9nrolZN6gVIapqaMQodV/ad4DZz/NBvVuOarjj7vo6I6OubOysnGnA7W5TVmrj0QMpXIqKXP9txAXkNZoSRZvuHMr2HOs930v9mYfkBTn9kNRBR7uM9DgNVOttQHmC3695bEZH4S+Q8XVlAzcBw3KBvJtYYt/hxufj9mZX630fOLD6USVT3eLenUS9W57tqBjYhD/KIiFccvdXZoKttOX3G77id0bNcIC7YbqcHyI7xjSTi3wlw5gKs3uPG6n8rNXD6Lj2f3EpEhc+8h0kA6htupBFRZeoFd5Pe311A1XjF8YRWIvp0w3UoCxJqi8O+krDk6papmjJdOqHYb9HxiBoifvFDVw1AYnjgjTIqe/KTjZ5sN4NP/DX8w18eKU3pNzeZanWYX1pJR0+TBUhO2XiphoiqU3e7j/yuUFmtST+dfNejBiWsjjq+2ECtiwNJqIxffjiznoh4yWd8THt/16S2yYzTSRVE1JRwwqkPACUjPSUAXBVVAxN5SGmvv5cjICKqe7BrhhygOHVPQUNb6h+zpQAFx/UxtURUfivQucv8kh4wyT+8vVDS8OaE9+ROTwOk+pkvvJRS1rWz/6pOJGxMPLVsQMco2Bo6+sPGu2767VFhu78Lv97xGS4BqI/y/D0yLfL8eiMWwDEOCm8Qf3k0f7gsIGG57veXLx9ucjUCwLid/tzYlHJqrhpXwcxt6/PsvLSHe61UAah77EkmoqwTnloAuANXHA17FXvT37ovAK3xa5K65mBi/qe4o3Ot+gBQt14QevZ5RX3pjW1j27vYa+hYZ4+fDt28u9FKTU7ZPODMi/zc1yf8JwCA2eLH5URNiQv6ywGQ6Tdp5/W4F+e8B8oDUHc78ZEq77gOBiBjs/liWmbWw4MrR2ooKfSbdutdZf7joH6ApNHCB4VE1By23gTAkNm/Fgoo75xnLwDqFsE3E1Kf/TbNgA2wpux9TUTRB5a2ez2bMXNw/2nNUm97NQDM8oP3M96mnt/qrqsirzrGN/Yzn/cpbI6+vILexG3Xk/NyEve6GQDQsFidQVRx6ae/JZG46s0vU9QBGM0MepiUcjPUTR2Q0JtxMaO7k9a9WG6lAUBCY3zInegH+5cOkQEAKb05555G/r7JVRmA8rRbOS0kKDnhrgtAddTck49fhl/eYaUJQG5G6KN6otc7reUAQGmSz9mE2AtzjDUAQEZj1q8PEu+FWupKAHA8kd1WGrfOnAVIjlt+IDI5/tQaOxYgO8on8qOYaqPd+7IAsPTtd9+Kf35qRX8OAJ2Fvxfyyl4fmDNcDmCpDfPddyWxsOnTkx0j5AGoTt92OeHl013zzKQAGT33iPKa9Kv+ygC07HbdfPkmM2LXopGqCsqmi4/l9GCw+H2QZV9A0mxlBBH/1jonDgAoOwScj4+8ssRSG4Cczf4iAVHRk5WGAJQ23MgQiip+m6YNYNCUjWFJr86vsWID8mYLHlcSlV91HCQJyC96Ws3Lu7/AWFmhl03ozaS8nJjdC4cBYNsGptQTfQqbqgjAJPBOcdbRmQqAZG/7w0/T36Y92OAyQlVBwXzFlS/dy1GtpdHeRtIADF0C7kZHnfSbyAIAyambrtST+PUvjhxApr/D/rCUpHu/WPUCoOl5NqdrcZ1XErVqAACO3eqjLzOzws9uMFNXVtZ1OJFQLyy5Yq8DQGlK4NXXqREhs4wAaFn//EFMbYm/TW1/kMnqmNvMWL9jd+g6RxlAx/N8BRFVJQZYsgFFz5NJQqKkky4A2Pb+sQ1UHxOoJw1wB64+G5ny7PBkfS6g5Lo/jUiUcHSJFgC2if+Jh0mRV1ZZ6wJQtd6RXvk98f3Xa2eC3CdHF9qa6fVR53SEC9LaY73u5zULG+I9dAD09diT0CIQ8ZsKjzhpA1K2AX9m3N1qLAmoO90vFRFRVW7CnWs3nyYVNgnEIkFzZUluelpmdkb85V9XmSoCUJ0dHE7i0q1WfQAJs+U3GoiIqCX9kLmGBGR0/R/2KCSVnPEbDmDA2iufiYgqrm8dB0Cy39wbqV9b29r4QhGvviI/Iz3zbXbys4trZw6TBDDY42YuUWuSlz4bUJgScF9ARLxXiwYrAspTt6dT5Z+zjABA08Jtx/Eb4ZHR8UkZJVWNIiJBWfzaUTKA7sYb2fzWtGV6EpDut/J8IVH5Lw76AAznXyhvFQj5Tc822ykCKqO3fSKKP7JCEwDLdF90UUsbrzzimDUXgORQxyV7L9x/EROXkJxdXtcqFpNYJGiuKc/NTM3Mfhv/4Mwqax0AquaeETyqvPz3JKpIPjNGCpAb9/PdQp5I2PIhyt8EgNayIwndrquL/GmiBoBhqx/wiSjvysyBACSnHk8mopqoQxNkAGnLC2lf6t5fncACWGZBtz+0T5Dow9OlAdbY1ZEVoqw99myAY+h6q5yIms7NGw5Ay2x1upiIstbb6AKYuPNFRtgvhgB6TTsbVyEQCWtSr8/TBWAY8vCDqDnJU1caUJm+9YmYiJrjPfQ4gMa07S+JKO+YuyYgrzcntoWIqk4usgDQy3H/h/aVmk93Zw2TB9jzL6UlX1unBgDaNgs2n/3zWXRc3Kus4poWQc9AQ1ywbVI/QMZ89Qsi/u31zmyANWhFYi0Rie8Hz+AAMAnKaiEqebbaGIDa5jsZtWWPbDgA1zTozwoioq8Zf9648SA6tZxH9Omak6EMoLTgz49iobC1tiwnLf1NVlbCwxPLHAYCkDRfE11GVPbYRRWAadDdkqzjs1UASPeavGLnhQcR0dHxabmlda0913tLo/cNBqA66UBEDRFRedyqwVIApm6+Xif+GGiuBnAt/R808ISCtqoby4ZLAHqOez92aYFXGr16IABoj3DafPjas+jYuPi04spGkZAyD0xXAuT1Z4d9bBEK+V8jg43VAe6w4x/EwlenXHoDkLYNffa1uZUnEH15HmquBCg7PS5v+RRzaLgEJPq538ppJRIknHQFIDdlfXyDKNbPFMDAyTuLiIj42ZH3b94Oe1XQTA3Jm500AQmLwHvtwUNN9AFrLQD6IdEfO0f9b0jEb64pLykuq2kUkajqQ1rYxUMBS6cO0pQBMDH47vu821Yq0oAcYzzBwd7G2tqq/Uk5ZPrG3w/46QEShmtTq3t6SGNZyvENc401JQFAmsuVBqDmtjNSxI9xGyIPKM45m99xaVvSfAMlQM11T0Z3Jys63UGiy5+IOkmk4ro7s51hwobsx0eWOhi1B3OyctxuJNKTAXQ892cQEbW+8TdVAZQmB8YR1T/Zs9RE53tGqTHE2nf//dIGAVHto91TOcCgVX/E3grQlYDcUPdHlUTCpCWjdAAo6Y2ysbW2sbMbM0ABAJQmx/BFiUdXaADovyK2TEhE1JL3x0ZnfTXpb81LMaNnBl9MrG4jEjW+vh4yd7y+BABIcuVkAKhZLAz/ZxLlPdnaBwCrl+GoSQ72tjaWo/U4ADDR/3y3v8r+RiLr/a+IiPKuuRsDUPW9n09E1ZHHHTiAtOXF1E8lsdu1AQyaeTG749aiqL39AfSZcyWjKevgZBbQa/SyhDYiari80AyA3tQDZUREuZsmDwIkJm19EHHeRxmAvO7wMdb29nY244ZrSQKA5/GYhsZUL0YC0Ft2LIuIqCl11VB5QN01OIGI3h3tIFFcKxFlbHDsD8A8OOpbzvVh6+QhAMzWRjaWJobOGab5PedRGuG86kx0fmMPR+tJIicWIDd+X1EbEYme/+KpAsAk8G1zJ4nUA2+nl705NhhAX5ujyX9ZrP54tZ1ECx9UEL/29a3QeZZ6EgAgweJyJQCpbiQatvHaZ6p46jdlqEqnwVmaFjP8L8V/7N60KOf+WjUAJh632h2/+cPRKUoApgbeqm5JnDNQBZDSMBhjb2djbWs7qq80ALaeW3zXoqCoOub0SpMuSZGywcRVv9wrqW195melCMgo9BtrbWNjY2czdqAUALCXhDeLX5927g1AJyi8o+ZLza/X2/YB5DzPRN7bMQGQNPM+UyIkopb4k64A5KdsiK9pujhTH8BIrys9i9fv73iZAlBcfftthzUqw7zGSwMybpffdAZF/4JEgvyHWyaZm43z2Jnw3bsbb24aDUB11v7ElJv2GtKQ1jR3WeHn7e3ju2ZdQND2kNBzd56HHVilD0j0X5pYJSIiaqsvLyn8XN3Y2vTp0jIjABqGNiuDd586e3T+AGlAac6OSLHwtZexCsB1OfCm46saImbqsQF1t2O53W334bRvB4k+iqmTRNoLD75tJiL68vKsjSYArQmzvEMPnT4YPE+lJ4mYBe3f0pLZTiKHjS/a2y6Mv3Mo2G+Rm9PoQVqyAKC04PwbIVFt4ik7DaC3o7uZjpQEa5z33WYiEiSvMNcBpJix89b4+nj7+K1Zt2nrjpB9R64W8Pmxh5erAzDcmFzeaYXmjKcXQgNWz59uY6yrJgmANfxAdMnnpD1DWQBXx8YzYPeR80f9LKQBFfMF/0wiccHznboAlAY7evj4eHv7+K7dsHnrzpDQK8/TuvlHXeQKKw0AtoeTxUT07orbUAAa6x7mE1FVxDH7DhKVfU7e1x+AjvO51I6Z8v7pVi0AAz1u5fKyDjjIAtqjlyfxiKjhkucIAAOcj5YTEeVsdDAAJCZtC4u6tEYNQC+z2Yv9vL29ff3WbQzc9nPIL/eSPzR9TfDsKwHoLzueQ0TU8HqVkTyg7ro9gYhyj7h1iYnytroMAWC85uk3Er1db9sPwKiNMUREgs8vrhza5Ltkpr2FniYXgNRAj7s90rO/JZHlweJWIhI+2zVf9a8kupNe8e6cMQB1y30x7Ukuv7K0qLisqkXQGROprggvL4s8YKYIyPZzmL9+z/GzoWuc2IBENxIZr79QRETU9P7R+YObVntNsxnFKMkCYA1ZFFXZNT0T5z3eogVAf86Vt2Iiosb3+625AKYG3qzhpXgMUga4g228/H28fXz91mwIDN4ZcvjUncK/7KP5mHzv0PYNS+Y6Wxj25QKA+tLTEfcDnVQB+T6jF/v7env7+PuvCwzaHrLn4MO8Vt7LE87aAAbsjyvpnFqv9sxSk4XqkFkzBkhBznjbrcJ2v/1OolreLXcDAMPdT7UvIgrrKoqLSr82Cank0YpxUgB7weWMDo8vue0xQgqQX3I7p9N9/wWJRAWPNmgCgPrUgMs5NWIi8efUGyssewMw+Onc+4rcTcOkIaE290AqEREVnQn08fUPvZ3e2hyza6QSIGOwI+orEZWEHXAZZWruFBj+6sV6QwCsGSERRESVYTO0JQHF2cFPiZpOzzIAoG21Ja2eiCj7wvI+LEBp1KH0lm79EneQSN//agUR0Zd2EvVefDi7lYiELy+skgPQ1/3BRyKilwedWQAMPG7mdCVRJlEniZSdtr9syn8WumrBosWB4WVEJPjy5vI8c2UAw4KetxBRW85u90GApAwgpWoSktAefVWddjMEMNjjfDMRkSD85HYfP/9DDwqIRNEHl6oDGBqY+kVMREUJ19YtWLjI52ROExE1fXh62KkvADnvS7HRxx0BsEYufNFGRBTmbyYJKJl7hrfR13+Iiere3nRSAeRNQ55WExHVJYV6+/gFnYot6L6y0kmiQ91ItLYriaTGn0+r4pVHuPcCoDEnJLyZiETFp5YMAdB3xs9vW+jNblsZQHv08pfdSHSkC4lguSM6P+q38WxA3f73TDERiYuebvH28Qu9nlVJ4pqYeTr/TKKjbpqAXP/ZcW1EJHiwwV4OYA9c8KhYRETlL0LNVaUA3cAn2RkP9y5YsHDl4Sc1RNRSGX127UAAEpZHwruVRf/rJFLbdCezue6Vlw4ADY+9cWIiKrnrOd7MbMK843EtVH3L2VAG0PB9lhtxeIEUACOf5BYiovtbxksCGLUmuoyovJ1EI4KuZSRe3eW1cNHag5FtROKmihe73XpLASzTs3nd/Lkq7ZKNHCCj53f+DRE1vj45UQWAxNTN1+qo/qC9FsCesCZMTERUe3vPJl+/gDPhXZMzqi+K3b3Mc+GS7U/yWomElVmP1lhwAdhuupxw3V9HCpz+M5/UEhFVR58L8PHdtPduBVFL4gknbQAGhxK+75ASFl506C8PSEkDmlbekR3L2h0kknNcF99AOXvtJAEFk3mPK4mI/3S7xyizkdP9r9bzig4tNAag6Rya2UREorRTP/VnA4o2F9983/rwb7IzYcO7g26DAQBsxtDMYrSZgXZ79mG242GBgEQpx93UAAlu7wnO053H6AOAwpgjaS3Ef7d71hApQN5g3Oy5buP1lABoOO3JKnl/YmYvAEp9zVxcXSyH9W2Psq29/2gQU230rtHq0oB0PwsHF2fbgQqSAMdy7Y3KnhlexZXNEwFIqA119PC5kp51I8gCgOr8/dmtRCQueLZnmBQgoTx04rTpTuM7EiJlxzNJrdSW5NEbgKb7nnQiopb01YZsgGUbmMSrfrFoKAcAV3+0m9diz5lWvRUlIWMQ+KhAREQkyji9UhcAoDEh+N23CLsiYscIFUmAO3SSs+uU0e3aWXLpHRE4BAg5AAAIuklEQVRF7l0oD2DAhpQvYiKqfXXGthcAaBnbzV+0aJ6jmSYL0J5yOa3iwxM/TQAslZEO01wmW/SVlwSAwVOvfhVXXVraG4Ci9cOK7lpo+3jF30IaYGsMcZw+fdIQVQBsY6+w0u7PytqIxRYKACbsSxITUe7F6QMAKPjcyyOir88PWQHAyJMvK0nc/HSnoxIAbq8xTtOcLY0UAfQy23G/SEiUtG0cAJXhXgk8Imo472YEQMehPTvLXjuRATBsQ6yg+d3heYYAFPqOcJk+3YJhA9C03ZJaL6LqyFnqAPosPJxNRNSQvExfCpCfsiWOiD5dW6YjDUgoGdl47rmSXF1wy32wMgCNoZbO05xMtTkABs05XNrW8u72egYAOEMmzfZa7OVkoc8B1KzWvijtnvSI328eqwVg2PJwIv4NP3sAkqP3FrUSkfDxzjkcAAYbMpuJih8vHwiA6381TUy85zttuYC00gCH6TPsh/cCwNabfrOET1+u2usB4C59WpJzO0gfgIzGSPsZrpNH6ShKAICO58N8obj80WQOgCEbrxe+u7pECQDkTe3cliyZP9lUWwbQtNqaWd/NlKKm9ye9BgNgaxhNcXEeO6RjddJ27YVaotK7fnpsQEp5pMO0aTYm0gCgG/CwtGuxqa0s3t+cBYDTe9Rsj0Vec2z1lAHWoPVXc9uaUnwtNAAoD7GaNn3qUGUA0PM4Uymm1oSj9ioAmH1xXfdqVp/3MJIAACWnoMffnKk59tgUAJLW3lH1JCy+6dqPDcjoT3B1nz1ZnwNAymZreBuJPz3aba4NgD3AfLKri3U/JWlA3i7w7pcuxvmXFWt+2avDqycP1FThyEgCkix5lb4mU7ZfS2kUEBGJ2z7e3uFhpKnMZbFk2QpaJi6/PuyYpC1FEUFzhku0KxWyRs4bnxU2E1FZ/MlZI7SV5DgcOUUTx2XbN7swDDNhxf6sNiLiZd/fM9Oin5IcS1aWrag2yG3zxYLGv27BFxU9Pzx5kKYylyuvZRT4JO3pETeGYUat//19KxGRqKX4eqCrvoYim81R0jad7xu82oph+k3a/7hQxM/eMF6PYSzWnMkhImrN2eFozDBGnr8kEYlrMm/7OhurKnDYHA6bo6Daz2LV0chqQUcHxKUPVtoNYJgBXn+87dKZ5pRLgbaD1OXZLFlZOZXeZssPhleLiEiUeCZgOMMwdnvetqeoYt6HyN/mj+2vJMflcNhsOUWtoZN33nnTJiJx07sTK621VRU4bI4iM2bZ9mAXI11dY5ejyU3Vj7ZN0GX6my6IqurJY/7XtEM/2egoy7NZLDZX2cB6+dXXX3te1JC4ec5whmHmncsQE1HhvdV2DMMM/zniAxHVxF+Yb8Aw/WdcTa0gIlFz0a2QBSZ9lLlsFost18twasitjFYREYlfH3LXY5iRLpvS+ETUdNd/CsMwlov/qCQier/b04phGKeQeBFRa0lUsLu5hqIci8XiyKsOdw14kt9ERMLKBJ/RugwzYeOF90RETW+22A5hmOHLDqQQkejzM1+7werK8iyO6qzN15tI/PXl+RWTh6oosGVZLDnlPjZL970qFxARCeoT/9hkNVBdnstmszly8sqDrJdfTi7vuT1aXLzfbSzD6LkEJRAJHocsGsAwg2ef/dRGRMKYY34mDMM47HnXQvQ5JsieYRiTkHtvxESixnfn1rroqSpyWCwWV1l3jMfJ6I9CIiq7t8hGj2GM1r+oEbW8P73atq+aPJvNVdObsGzNlsWjGaa/y/lXFW1f45aaMAxjH/pnGQkbIo54j+2nKsdmczhsrpLaMCefO1k1f3Xo5oKn652MVeQ4HAXN8bPXBMw2YRhmwa47tUQkrok6ttpCV1WOxZJlyavpWW74I+kvu+xEde/CAlxHqCvKsdkcDperrGO2fP+j9r0/VenXV042VFFgs2Rl5ZW1Ji76NeWLkIiaUy4sGskwjNW5193CyYrwreb9GWbEtN9SOmO3lpTLyxiGGbxgZ2IdEYmKXhydaaLUMbnZOtM2XChoT2dFrZl3f501UkeRw2Kx2Ioag922XfvQ3M0r/1dOwAobvhSlJ0SFR0SlZBXVtvbYiSpuqCh6HRMZlfS2rKH7c0n46fL6OeNN+0moGwffz+80AK+mND0hKj69sJ5PRCIer62Nx+9cURC11hZlvoyKeZlfXvcfdsc2fM5LiolOelvcwBeJhHwej8cTdF2VaCvLT42NTsgtaxQTkYDHa2vjC0VEYgGv67ViAZ/H4/H4nWsvwuay/LToiOdRSW8/1/bcKigU8ni8vzkaxauvyEqKeRGTXPDle5VGJBTweDweXyju0i0xr7YoK/nF8/D4tLzKpi6aFDaVZr+Kikn+UNlMRCJ+h1LEoo4Oiv7+TBS/qjg3ITIyIT2/5u8P4Hy7v32835oTiMREJO5QHF/4vXVxS1VpRmJ0bHJWRdP32f3twg4qt7fC71CiWMjnd9OhqLX8fWZsZGRSdnFDZxtiUbs6emheIOy4S9D4OSMxJi45q7yB39EbQdPnd69jouLeFlfyug+fX1+RkxL7/HnU65yShr8/CSUWdrHsd1t0DKfLy+866TSsoLo0NyEyIj41v6rl25vfL2t/2VySnRwTk1TwtZXavaq1TSAUiXsOk9rqPr9Nin4eEZ2aX9b0H46TtFblvo5/+aa4WUAk4vewSkvNp4yEqMj4tOLqln9sQdRcUZgZG/E8KjGjtLq76/IbP+a+ioqITssv7xzQ3zsoEZGY38XW37TZMazOPjUXvAiea2uoo6Q8bF5Y99NfotaagsyX0TGv3pfV/3Wy/PefxW/Nj3/25+3LQfNMAdVV5xL/Xz8i9kN+yP8vImysSH5y99bNQ9OGKEJ57IW31f/ze77Jfz+JmtLvnd4R4O/vt37PuacFNf/pdOEP+SE/5P8iEdSVPD4ZGrDGd93G4N8fvan7r0zuH79P9EN+yA/53yr/6jd5fpDoh/yQH/J/Xv4HOGBMyLqKBOIAAAAASUVORK5CYII=)
3,27 cm e -6,53 cm
1,75 cm e -2,33 cm
2,45 cm e -3,27 cm
2,05 cm e -6,53 cm
3,27 cm e -2,66 cm
O que se pode dizer sobre o método do Pilar Padrão com rigidez aproximada
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção circular e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Calcule o momento fletor mínimo e a excentricidade mínima em cada seção do pilar , considere como sendo um pilar intermediário, dados
Concreto C20; Aço CA-50; d’ – 4 cm; Nk = 875,75 kN; Seção 16 x 50; lex = ley = 275 cm.
Mx = 4229,88 kN.cm; ex = 3,00 cm; My = 2876,32 kN.cm; ey = 2,04 cm;
Mx = 3862,05 kN.cm; ex = 2,95 cm; My = 2626,19 kN.cm; ey = 2,25 cm;
Mx = 1786,53 kN.cm; ex = 2,89 cm; My = 3678,15 kN.cm; ey = 2,45 cm;
Mx = 2791,72 kN.cm; ex = 1,98 cm; My = 4229,87 kN.cm; ey = 3,00 cm;
Mx = 3878,15 kN.cm; ex = 2,98 cm; My = 1786,53 kN.cm; ey = 3,06 cm;
Para a viga de 20cmx50cm, d'=4cm, Concreto C25, aço CA-50 e Momento Característico Atuante de 175kNm, calcule as armaduras de compressão?
3,27 cm e -6,53 cm
1,75 cm e -2,33 cm
2,45 cm e -3,27 cm
2,05 cm e -6,53 cm
3,27 cm e -2,66 cm
O que se pode dizer sobre o método do Pilar Padrão com rigidez aproximada
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção circular e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Calcule o momento fletor mínimo e a excentricidade mínima em cada seção do pilar , considere como sendo um pilar intermediário, dados
Concreto C20; Aço CA-50; d’ – 4 cm; Nk = 875,75 kN; Seção 16 x 50; lex = ley = 275 cm.
Mx = 4229,88 kN.cm; ex = 3,00 cm; My = 2876,32 kN.cm; ey = 2,04 cm;
Mx = 3862,05 kN.cm; ex = 2,95 cm; My = 2626,19 kN.cm; ey = 2,25 cm;
Mx = 1786,53 kN.cm; ex = 2,89 cm; My = 3678,15 kN.cm; ey = 2,45 cm;
Mx = 2791,72 kN.cm; ex = 1,98 cm; My = 4229,87 kN.cm; ey = 3,00 cm;
Mx = 3878,15 kN.cm; ex = 2,98 cm; My = 1786,53 kN.cm; ey = 3,06 cm;
Para a viga de 20cmx50cm, d'=4cm, Concreto C25, aço CA-50 e Momento Característico Atuante de 175kNm, calcule as armaduras de compressão?
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção circular e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≥90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura assimétrica e constante ao longo de seu eixo.
Pode ser empregado apenas no cálculo de pilares com λ≤90, com seção retangular constante e armadura simétrica e constante ao longo de seu eixo.
Calcule o momento fletor mínimo e a excentricidade mínima em cada seção do pilar , considere como sendo um pilar intermediário, dados
Concreto C20; Aço CA-50; d’ – 4 cm; Nk = 875,75 kN; Seção 16 x 50; lex = ley = 275 cm.
Mx = 4229,88 kN.cm; ex = 3,00 cm; My = 2876,32 kN.cm; ey = 2,04 cm;
Mx = 3862,05 kN.cm; ex = 2,95 cm; My = 2626,19 kN.cm; ey = 2,25 cm;
Mx = 1786,53 kN.cm; ex = 2,89 cm; My = 3678,15 kN.cm; ey = 2,45 cm;
Mx = 2791,72 kN.cm; ex = 1,98 cm; My = 4229,87 kN.cm; ey = 3,00 cm;
Mx = 3878,15 kN.cm; ex = 2,98 cm; My = 1786,53 kN.cm; ey = 3,06 cm;
Para a viga de 20cmx50cm, d'=4cm, Concreto C25, aço CA-50 e Momento Característico Atuante de 175kNm, calcule as armaduras de compressão?
Mx = 4229,88 kN.cm; ex = 3,00 cm; My = 2876,32 kN.cm; ey = 2,04 cm;
Mx = 3862,05 kN.cm; ex = 2,95 cm; My = 2626,19 kN.cm; ey = 2,25 cm;
Mx = 1786,53 kN.cm; ex = 2,89 cm; My = 3678,15 kN.cm; ey = 2,45 cm;
Mx = 2791,72 kN.cm; ex = 1,98 cm; My = 4229,87 kN.cm; ey = 3,00 cm;
Mx = 3878,15 kN.cm; ex = 2,98 cm; My = 1786,53 kN.cm; ey = 3,06 cm;