ESTRUTURA DE CONCRETO ARMADO II
Se em uma situação hipotética precisarmos de fazer um reforço estrutural em uma marquise, feita de uma laje em balanço, e para fazer este reforço precisarmos de fazer o escoramento, em que posição devemos colocar as escoras?
Nas laterais da marquise
no ponto central da marquise
Ao longo de toda a marquise
no final da marquise
Dimensionar a área de aço de uma escada residencial, de uma casa de alto padrão, que apresenta dois vãos paralelos e dois patamares. Os degraus tem uma altura de 16 cm e uma largura de 32 cm. No lado interno dos degraus existe um peitoril com carga correspondente a 1,5 KN/m. Para fins de cálculo será considerado concreto C20 e aço CA-50, regularização de 1,5 cm feita com argamassa de cimento e areia; a laje das escadas tem espessura de 12 cm; e o piso é de tábua corrida de imbuia, com espessura de 4 cm incluída a argamassa de assentamento, considere o d’ = 2,5 cm.
Obs: As medidas na planta baixa estão em metros. Utilize as mesmas para cálculo.
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)
9,32 cm²/m
13,87 cm²/m
11,54 cm²/m
15,74 cm²/m
7,43 cm²/m
Qual é o valor do momento fletor máximo de calculo numa marquise, feita com laje em balanço com vão efetivo de 1,50 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 as pessoas não têm acesso a esta marquise.
904,84 KN.cm/m
463,35 KN.cm/m
1125,30 KN.cm/m
785,63 KN.cm/m
727,30 KN.cm/m
Dimensione a área de aço de uma escada de um prédio residencial com 18 andares, que apresenta dois vãos paralelos, conforme figura abaixo. Os degraus tem uma altura de 16 cm e uma largura de 28 cm. No lado interno dos degraus existe um peitoril com carga correspondente a 2 KN/m.Para fins de cálculo será considerado concreto C25 e aço CA-50, regularização de 2,5 cm feita com argamassa de cimento e areia; a laje das escadas tem espessura de 12 cm; e o piso é de borracha com espessura de 5 cm incluida a argamassa de assentamento; foi rebocada na parte de baixo com gesso com espessura de 2 cm. Obs: Para fins de cálculo considere que o carregamento dos degraus e dos patamares esteja projetado em planta, ou seja dimensões retiradas da planta baixa e não do corte, para o calculo da laje considere o vão de eixo a eixo, considerando as lajes separadas no meio, calcule o carregamento do patamar separado do carregamento dos degraus, para o calculo da altura média do degrau considere a altura da laje somada a metade da altura do degrau, para o calculo do peso próprio do degrau multiplique a altura média pelo comprimento dos degraus em projeção, considere o d’ = 2,5 cm.
![](http://sga.uniube.br/images/uploads/19660/escada.jpg)
14,89 cm²
13,69 cm²
16,96 cm²
11,52 cm²
9,52 cm²
Calcule o momento fletor máximo (Mk) de uma escada de um prédio residencial com 18 andares, que apresenta dois vãos paralelos, conforme figura abaixo. Os degraus tem uma altura de 18 cm e uma largura de 28 cm. No lado interno dos degraus existe um peitoril com carga correspondente a 3,2 kN/m. Regularização de 2,5 cm feita com argamassa de cimento e areia; a laje das escadas tem espessura de 8 cm; e o piso é de arenito com espessura de 4 cm incluida a argamassa de assentamento; foi rebocada na parte de baixo com gesso com espessura de 2,5 cm. Obs: Para fins de cálculo considere que o carregamento dos degraus e dos patamares esteja projetado em planta, ou seja dimensões retiradas da planta baixa e não do corte, para o calculo da laje considere o vão de eixo a eixo, considerando as lajes separadas no meio, calcule o carregamento do patamar separado do carregamento dos degraus, para o calculo da altura média do degrau considere a altura da laje somada a metade da altura do degrau, para o calculo do peso próprio do degrau multiplique a altura média pelo comprimento dos degraus em projeção, considere o d’ = 3,0 cm.
![](http://sga.uniube.br/images/uploads/19660/escada.jpg)
32,69 KN.m/m
53,12 KN.m/m
25,76 KN.m/m
14,52 KN.m/m
45,76 KN.m/m
Qual é o valor da carga permanente de uma marquise, feita com laje em balanço.
Dados: regularização feita de argamassa de cimento e areia com espessura de 2 cm;
laje de concreto armado com 15 cm de espessura;
Reboco feito com argamassa de cal, cimento e areia com espessura de 3 cm;
impermeabilização, cujo peso específico é o mesmo do plástico em folhas, com espessura de 1 cm
5 kN/m²
4,74 kN/m²
4,95 kN/m²
4,91 kN/m²
5,46 kN/m²
Para a viga de 25cmx60cm e Momento Fletor Característico Máximo de 415 kNm, executada com concreto Classe C30 e Aço CA-50, d'= 4cm, determine a Armadura tracionada que deverá existir para resistir ao esforço.
2,58 cm²
22,27 cm²
31,51 cm²
28,93 cm²
1,54 cm²
Considerando uma viga bi-apoiada de seção retangular com h = 40 cm, bw = 18 cm, e d’ = 3,0 cm, calcular a armadura tracionada, sabendo-se que a peça tem um vão teórico de 8 metros, carregamento total (já considerado o peso próprio) de 25 KN/m e são empregados concreto com fck = 25 MPa e aço CA-50.
9,68 cm²
24,85 cm²
11,47 cm²
21,15 cm²
31,25 cm²
Com os dados do pilar da figura abaixo, considere como sendo um pilar de extremidade. Determinar o momento fletor de cálculo de 2ª ordem pelo método do pilar-padrão com curvatura aproximada.
Concreto C25, Aço CA-50, d’ = 3cm, Nk = 450 kN, Seção 14 x 35, lex = ley = 320 cm
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)
2057,14 KN.cm
2540,85 KN.cm
3024,52 KN.cm
1845,67 KN.cm
3250,50 KN.cm
Calcular a altura útil (mínima) que a viga de base 14 cm terá que atingir para que não necessite de armadura de compressão. Considere a profundidade de LN de acordo com as condições de Dutilidade apresentada na NBR 6118/2014.
Dados: concreto C-20, momento característico (Mk)= 285 KN.m e aço CA-50.
Nas laterais da marquise
no ponto central da marquise
Ao longo de toda a marquise
no final da marquise
Dimensionar a área de aço de uma escada residencial, de uma casa de alto padrão, que apresenta dois vãos paralelos e dois patamares. Os degraus tem uma altura de 16 cm e uma largura de 32 cm. No lado interno dos degraus existe um peitoril com carga correspondente a 1,5 KN/m. Para fins de cálculo será considerado concreto C20 e aço CA-50, regularização de 1,5 cm feita com argamassa de cimento e areia; a laje das escadas tem espessura de 12 cm; e o piso é de tábua corrida de imbuia, com espessura de 4 cm incluída a argamassa de assentamento, considere o d’ = 2,5 cm.
Obs: As medidas na planta baixa estão em metros. Utilize as mesmas para cálculo.
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)
9,32 cm²/m
13,87 cm²/m
11,54 cm²/m
15,74 cm²/m
7,43 cm²/m
Qual é o valor do momento fletor máximo de calculo numa marquise, feita com laje em balanço com vão efetivo de 1,50 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 as pessoas não têm acesso a esta marquise.
904,84 KN.cm/m
463,35 KN.cm/m
1125,30 KN.cm/m
785,63 KN.cm/m
727,30 KN.cm/m
Dimensione a área de aço de uma escada de um prédio residencial com 18 andares, que apresenta dois vãos paralelos, conforme figura abaixo. Os degraus tem uma altura de 16 cm e uma largura de 28 cm. No lado interno dos degraus existe um peitoril com carga correspondente a 2 KN/m.Para fins de cálculo será considerado concreto C25 e aço CA-50, regularização de 2,5 cm feita com argamassa de cimento e areia; a laje das escadas tem espessura de 12 cm; e o piso é de borracha com espessura de 5 cm incluida a argamassa de assentamento; foi rebocada na parte de baixo com gesso com espessura de 2 cm. Obs: Para fins de cálculo considere que o carregamento dos degraus e dos patamares esteja projetado em planta, ou seja dimensões retiradas da planta baixa e não do corte, para o calculo da laje considere o vão de eixo a eixo, considerando as lajes separadas no meio, calcule o carregamento do patamar separado do carregamento dos degraus, para o calculo da altura média do degrau considere a altura da laje somada a metade da altura do degrau, para o calculo do peso próprio do degrau multiplique a altura média pelo comprimento dos degraus em projeção, considere o d’ = 2,5 cm.
![](http://sga.uniube.br/images/uploads/19660/escada.jpg)
14,89 cm²
13,69 cm²
16,96 cm²
11,52 cm²
9,52 cm²
Calcule o momento fletor máximo (Mk) de uma escada de um prédio residencial com 18 andares, que apresenta dois vãos paralelos, conforme figura abaixo. Os degraus tem uma altura de 18 cm e uma largura de 28 cm. No lado interno dos degraus existe um peitoril com carga correspondente a 3,2 kN/m. Regularização de 2,5 cm feita com argamassa de cimento e areia; a laje das escadas tem espessura de 8 cm; e o piso é de arenito com espessura de 4 cm incluida a argamassa de assentamento; foi rebocada na parte de baixo com gesso com espessura de 2,5 cm. Obs: Para fins de cálculo considere que o carregamento dos degraus e dos patamares esteja projetado em planta, ou seja dimensões retiradas da planta baixa e não do corte, para o calculo da laje considere o vão de eixo a eixo, considerando as lajes separadas no meio, calcule o carregamento do patamar separado do carregamento dos degraus, para o calculo da altura média do degrau considere a altura da laje somada a metade da altura do degrau, para o calculo do peso próprio do degrau multiplique a altura média pelo comprimento dos degraus em projeção, considere o d’ = 3,0 cm.
![](http://sga.uniube.br/images/uploads/19660/escada.jpg)
32,69 KN.m/m
53,12 KN.m/m
25,76 KN.m/m
14,52 KN.m/m
45,76 KN.m/m
Qual é o valor da carga permanente de uma marquise, feita com laje em balanço.
Dados: regularização feita de argamassa de cimento e areia com espessura de 2 cm;
laje de concreto armado com 15 cm de espessura;
Reboco feito com argamassa de cal, cimento e areia com espessura de 3 cm;
impermeabilização, cujo peso específico é o mesmo do plástico em folhas, com espessura de 1 cm
5 kN/m²
4,74 kN/m²
4,95 kN/m²
4,91 kN/m²
5,46 kN/m²
Para a viga de 25cmx60cm e Momento Fletor Característico Máximo de 415 kNm, executada com concreto Classe C30 e Aço CA-50, d'= 4cm, determine a Armadura tracionada que deverá existir para resistir ao esforço.
2,58 cm²
22,27 cm²
31,51 cm²
28,93 cm²
1,54 cm²
Considerando uma viga bi-apoiada de seção retangular com h = 40 cm, bw = 18 cm, e d’ = 3,0 cm, calcular a armadura tracionada, sabendo-se que a peça tem um vão teórico de 8 metros, carregamento total (já considerado o peso próprio) de 25 KN/m e são empregados concreto com fck = 25 MPa e aço CA-50.
9,68 cm²
24,85 cm²
11,47 cm²
21,15 cm²
31,25 cm²
Com os dados do pilar da figura abaixo, considere como sendo um pilar de extremidade. Determinar o momento fletor de cálculo de 2ª ordem pelo método do pilar-padrão com curvatura aproximada.
Concreto C25, Aço CA-50, d’ = 3cm, Nk = 450 kN, Seção 14 x 35, lex = ley = 320 cm
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)
2057,14 KN.cm
2540,85 KN.cm
3024,52 KN.cm
1845,67 KN.cm
3250,50 KN.cm
Calcular a altura útil (mínima) que a viga de base 14 cm terá que atingir para que não necessite de armadura de compressão. Considere a profundidade de LN de acordo com as condições de Dutilidade apresentada na NBR 6118/2014.
Dados: concreto C-20, momento característico (Mk)= 285 KN.m e aço CA-50.
9,32 cm²/m
13,87 cm²/m
11,54 cm²/m
15,74 cm²/m
7,43 cm²/m
Qual é o valor do momento fletor máximo de calculo numa marquise, feita com laje em balanço com vão efetivo de 1,50 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 as pessoas não têm acesso a esta marquise.
904,84 KN.cm/m
463,35 KN.cm/m
1125,30 KN.cm/m
785,63 KN.cm/m
727,30 KN.cm/m
Dimensione a área de aço de uma escada de um prédio residencial com 18 andares, que apresenta dois vãos paralelos, conforme figura abaixo. Os degraus tem uma altura de 16 cm e uma largura de 28 cm. No lado interno dos degraus existe um peitoril com carga correspondente a 2 KN/m.Para fins de cálculo será considerado concreto C25 e aço CA-50, regularização de 2,5 cm feita com argamassa de cimento e areia; a laje das escadas tem espessura de 12 cm; e o piso é de borracha com espessura de 5 cm incluida a argamassa de assentamento; foi rebocada na parte de baixo com gesso com espessura de 2 cm. Obs: Para fins de cálculo considere que o carregamento dos degraus e dos patamares esteja projetado em planta, ou seja dimensões retiradas da planta baixa e não do corte, para o calculo da laje considere o vão de eixo a eixo, considerando as lajes separadas no meio, calcule o carregamento do patamar separado do carregamento dos degraus, para o calculo da altura média do degrau considere a altura da laje somada a metade da altura do degrau, para o calculo do peso próprio do degrau multiplique a altura média pelo comprimento dos degraus em projeção, considere o d’ = 2,5 cm.
![](http://sga.uniube.br/images/uploads/19660/escada.jpg)
14,89 cm²
13,69 cm²
16,96 cm²
11,52 cm²
9,52 cm²
Calcule o momento fletor máximo (Mk) de uma escada de um prédio residencial com 18 andares, que apresenta dois vãos paralelos, conforme figura abaixo. Os degraus tem uma altura de 18 cm e uma largura de 28 cm. No lado interno dos degraus existe um peitoril com carga correspondente a 3,2 kN/m. Regularização de 2,5 cm feita com argamassa de cimento e areia; a laje das escadas tem espessura de 8 cm; e o piso é de arenito com espessura de 4 cm incluida a argamassa de assentamento; foi rebocada na parte de baixo com gesso com espessura de 2,5 cm. Obs: Para fins de cálculo considere que o carregamento dos degraus e dos patamares esteja projetado em planta, ou seja dimensões retiradas da planta baixa e não do corte, para o calculo da laje considere o vão de eixo a eixo, considerando as lajes separadas no meio, calcule o carregamento do patamar separado do carregamento dos degraus, para o calculo da altura média do degrau considere a altura da laje somada a metade da altura do degrau, para o calculo do peso próprio do degrau multiplique a altura média pelo comprimento dos degraus em projeção, considere o d’ = 3,0 cm.
![](http://sga.uniube.br/images/uploads/19660/escada.jpg)
32,69 KN.m/m
53,12 KN.m/m
25,76 KN.m/m
14,52 KN.m/m
45,76 KN.m/m
Qual é o valor da carga permanente de uma marquise, feita com laje em balanço.
Dados: regularização feita de argamassa de cimento e areia com espessura de 2 cm;
laje de concreto armado com 15 cm de espessura;
Reboco feito com argamassa de cal, cimento e areia com espessura de 3 cm;
impermeabilização, cujo peso específico é o mesmo do plástico em folhas, com espessura de 1 cm
5 kN/m²
4,74 kN/m²
4,95 kN/m²
4,91 kN/m²
5,46 kN/m²
Para a viga de 25cmx60cm e Momento Fletor Característico Máximo de 415 kNm, executada com concreto Classe C30 e Aço CA-50, d'= 4cm, determine a Armadura tracionada que deverá existir para resistir ao esforço.
2,58 cm²
22,27 cm²
31,51 cm²
28,93 cm²
1,54 cm²
Considerando uma viga bi-apoiada de seção retangular com h = 40 cm, bw = 18 cm, e d’ = 3,0 cm, calcular a armadura tracionada, sabendo-se que a peça tem um vão teórico de 8 metros, carregamento total (já considerado o peso próprio) de 25 KN/m e são empregados concreto com fck = 25 MPa e aço CA-50.
9,68 cm²
24,85 cm²
11,47 cm²
21,15 cm²
31,25 cm²
Com os dados do pilar da figura abaixo, considere como sendo um pilar de extremidade. Determinar o momento fletor de cálculo de 2ª ordem pelo método do pilar-padrão com curvatura aproximada.
Concreto C25, Aço CA-50, d’ = 3cm, Nk = 450 kN, Seção 14 x 35, lex = ley = 320 cm
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)
2057,14 KN.cm
2540,85 KN.cm
3024,52 KN.cm
1845,67 KN.cm
3250,50 KN.cm
Calcular a altura útil (mínima) que a viga de base 14 cm terá que atingir para que não necessite de armadura de compressão. Considere a profundidade de LN de acordo com as condições de Dutilidade apresentada na NBR 6118/2014.
Dados: concreto C-20, momento característico (Mk)= 285 KN.m e aço CA-50.
904,84 KN.cm/m
463,35 KN.cm/m
1125,30 KN.cm/m
785,63 KN.cm/m
727,30 KN.cm/m
Dimensione a área de aço de uma escada de um prédio residencial com 18 andares, que apresenta dois vãos paralelos, conforme figura abaixo. Os degraus tem uma altura de 16 cm e uma largura de 28 cm. No lado interno dos degraus existe um peitoril com carga correspondente a 2 KN/m.Para fins de cálculo será considerado concreto C25 e aço CA-50, regularização de 2,5 cm feita com argamassa de cimento e areia; a laje das escadas tem espessura de 12 cm; e o piso é de borracha com espessura de 5 cm incluida a argamassa de assentamento; foi rebocada na parte de baixo com gesso com espessura de 2 cm. Obs: Para fins de cálculo considere que o carregamento dos degraus e dos patamares esteja projetado em planta, ou seja dimensões retiradas da planta baixa e não do corte, para o calculo da laje considere o vão de eixo a eixo, considerando as lajes separadas no meio, calcule o carregamento do patamar separado do carregamento dos degraus, para o calculo da altura média do degrau considere a altura da laje somada a metade da altura do degrau, para o calculo do peso próprio do degrau multiplique a altura média pelo comprimento dos degraus em projeção, considere o d’ = 2,5 cm.
![](http://sga.uniube.br/images/uploads/19660/escada.jpg)
14,89 cm²
13,69 cm²
16,96 cm²
11,52 cm²
9,52 cm²
Calcule o momento fletor máximo (Mk) de uma escada de um prédio residencial com 18 andares, que apresenta dois vãos paralelos, conforme figura abaixo. Os degraus tem uma altura de 18 cm e uma largura de 28 cm. No lado interno dos degraus existe um peitoril com carga correspondente a 3,2 kN/m. Regularização de 2,5 cm feita com argamassa de cimento e areia; a laje das escadas tem espessura de 8 cm; e o piso é de arenito com espessura de 4 cm incluida a argamassa de assentamento; foi rebocada na parte de baixo com gesso com espessura de 2,5 cm. Obs: Para fins de cálculo considere que o carregamento dos degraus e dos patamares esteja projetado em planta, ou seja dimensões retiradas da planta baixa e não do corte, para o calculo da laje considere o vão de eixo a eixo, considerando as lajes separadas no meio, calcule o carregamento do patamar separado do carregamento dos degraus, para o calculo da altura média do degrau considere a altura da laje somada a metade da altura do degrau, para o calculo do peso próprio do degrau multiplique a altura média pelo comprimento dos degraus em projeção, considere o d’ = 3,0 cm.
![](http://sga.uniube.br/images/uploads/19660/escada.jpg)
32,69 KN.m/m
53,12 KN.m/m
25,76 KN.m/m
14,52 KN.m/m
45,76 KN.m/m
Qual é o valor da carga permanente de uma marquise, feita com laje em balanço.
Dados: regularização feita de argamassa de cimento e areia com espessura de 2 cm;
laje de concreto armado com 15 cm de espessura;
Reboco feito com argamassa de cal, cimento e areia com espessura de 3 cm;
impermeabilização, cujo peso específico é o mesmo do plástico em folhas, com espessura de 1 cm
5 kN/m²
4,74 kN/m²
4,95 kN/m²
4,91 kN/m²
5,46 kN/m²
Para a viga de 25cmx60cm e Momento Fletor Característico Máximo de 415 kNm, executada com concreto Classe C30 e Aço CA-50, d'= 4cm, determine a Armadura tracionada que deverá existir para resistir ao esforço.
2,58 cm²
22,27 cm²
31,51 cm²
28,93 cm²
1,54 cm²
Considerando uma viga bi-apoiada de seção retangular com h = 40 cm, bw = 18 cm, e d’ = 3,0 cm, calcular a armadura tracionada, sabendo-se que a peça tem um vão teórico de 8 metros, carregamento total (já considerado o peso próprio) de 25 KN/m e são empregados concreto com fck = 25 MPa e aço CA-50.
9,68 cm²
24,85 cm²
11,47 cm²
21,15 cm²
31,25 cm²
Com os dados do pilar da figura abaixo, considere como sendo um pilar de extremidade. Determinar o momento fletor de cálculo de 2ª ordem pelo método do pilar-padrão com curvatura aproximada.
Concreto C25, Aço CA-50, d’ = 3cm, Nk = 450 kN, Seção 14 x 35, lex = ley = 320 cm
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)
2057,14 KN.cm
2540,85 KN.cm
3024,52 KN.cm
1845,67 KN.cm
3250,50 KN.cm
Calcular a altura útil (mínima) que a viga de base 14 cm terá que atingir para que não necessite de armadura de compressão. Considere a profundidade de LN de acordo com as condições de Dutilidade apresentada na NBR 6118/2014.
Dados: concreto C-20, momento característico (Mk)= 285 KN.m e aço CA-50.
![](http://sga.uniube.br/images/uploads/19660/escada.jpg)
14,89 cm²
13,69 cm²
16,96 cm²
11,52 cm²
9,52 cm²
Calcule o momento fletor máximo (Mk) de uma escada de um prédio residencial com 18 andares, que apresenta dois vãos paralelos, conforme figura abaixo. Os degraus tem uma altura de 18 cm e uma largura de 28 cm. No lado interno dos degraus existe um peitoril com carga correspondente a 3,2 kN/m. Regularização de 2,5 cm feita com argamassa de cimento e areia; a laje das escadas tem espessura de 8 cm; e o piso é de arenito com espessura de 4 cm incluida a argamassa de assentamento; foi rebocada na parte de baixo com gesso com espessura de 2,5 cm. Obs: Para fins de cálculo considere que o carregamento dos degraus e dos patamares esteja projetado em planta, ou seja dimensões retiradas da planta baixa e não do corte, para o calculo da laje considere o vão de eixo a eixo, considerando as lajes separadas no meio, calcule o carregamento do patamar separado do carregamento dos degraus, para o calculo da altura média do degrau considere a altura da laje somada a metade da altura do degrau, para o calculo do peso próprio do degrau multiplique a altura média pelo comprimento dos degraus em projeção, considere o d’ = 3,0 cm.
![](http://sga.uniube.br/images/uploads/19660/escada.jpg)
32,69 KN.m/m
53,12 KN.m/m
25,76 KN.m/m
14,52 KN.m/m
45,76 KN.m/m
Qual é o valor da carga permanente de uma marquise, feita com laje em balanço.
Dados: regularização feita de argamassa de cimento e areia com espessura de 2 cm;
laje de concreto armado com 15 cm de espessura;
Reboco feito com argamassa de cal, cimento e areia com espessura de 3 cm;
impermeabilização, cujo peso específico é o mesmo do plástico em folhas, com espessura de 1 cm
5 kN/m²
4,74 kN/m²
4,95 kN/m²
4,91 kN/m²
5,46 kN/m²
Para a viga de 25cmx60cm e Momento Fletor Característico Máximo de 415 kNm, executada com concreto Classe C30 e Aço CA-50, d'= 4cm, determine a Armadura tracionada que deverá existir para resistir ao esforço.
2,58 cm²
22,27 cm²
31,51 cm²
28,93 cm²
1,54 cm²
Considerando uma viga bi-apoiada de seção retangular com h = 40 cm, bw = 18 cm, e d’ = 3,0 cm, calcular a armadura tracionada, sabendo-se que a peça tem um vão teórico de 8 metros, carregamento total (já considerado o peso próprio) de 25 KN/m e são empregados concreto com fck = 25 MPa e aço CA-50.
9,68 cm²
24,85 cm²
11,47 cm²
21,15 cm²
31,25 cm²
Com os dados do pilar da figura abaixo, considere como sendo um pilar de extremidade. Determinar o momento fletor de cálculo de 2ª ordem pelo método do pilar-padrão com curvatura aproximada.
Concreto C25, Aço CA-50, d’ = 3cm, Nk = 450 kN, Seção 14 x 35, lex = ley = 320 cm
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)
2057,14 KN.cm
2540,85 KN.cm
3024,52 KN.cm
1845,67 KN.cm
3250,50 KN.cm
Calcular a altura útil (mínima) que a viga de base 14 cm terá que atingir para que não necessite de armadura de compressão. Considere a profundidade de LN de acordo com as condições de Dutilidade apresentada na NBR 6118/2014.
Dados: concreto C-20, momento característico (Mk)= 285 KN.m e aço CA-50.
![](http://sga.uniube.br/images/uploads/19660/escada.jpg)
32,69 KN.m/m
53,12 KN.m/m
25,76 KN.m/m
14,52 KN.m/m
45,76 KN.m/m
Qual é o valor da carga permanente de uma marquise, feita com laje em balanço.
Dados: regularização feita de argamassa de cimento e areia com espessura de 2 cm;
laje de concreto armado com 15 cm de espessura;
Reboco feito com argamassa de cal, cimento e areia com espessura de 3 cm;
impermeabilização, cujo peso específico é o mesmo do plástico em folhas, com espessura de 1 cm
5 kN/m²
4,74 kN/m²
4,95 kN/m²
4,91 kN/m²
5,46 kN/m²
Para a viga de 25cmx60cm e Momento Fletor Característico Máximo de 415 kNm, executada com concreto Classe C30 e Aço CA-50, d'= 4cm, determine a Armadura tracionada que deverá existir para resistir ao esforço.
2,58 cm²
22,27 cm²
31,51 cm²
28,93 cm²
1,54 cm²
Considerando uma viga bi-apoiada de seção retangular com h = 40 cm, bw = 18 cm, e d’ = 3,0 cm, calcular a armadura tracionada, sabendo-se que a peça tem um vão teórico de 8 metros, carregamento total (já considerado o peso próprio) de 25 KN/m e são empregados concreto com fck = 25 MPa e aço CA-50.
9,68 cm²
24,85 cm²
11,47 cm²
21,15 cm²
31,25 cm²
Com os dados do pilar da figura abaixo, considere como sendo um pilar de extremidade. Determinar o momento fletor de cálculo de 2ª ordem pelo método do pilar-padrão com curvatura aproximada.
Concreto C25, Aço CA-50, d’ = 3cm, Nk = 450 kN, Seção 14 x 35, lex = ley = 320 cm
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)
2057,14 KN.cm
2540,85 KN.cm
3024,52 KN.cm
1845,67 KN.cm
3250,50 KN.cm
Calcular a altura útil (mínima) que a viga de base 14 cm terá que atingir para que não necessite de armadura de compressão. Considere a profundidade de LN de acordo com as condições de Dutilidade apresentada na NBR 6118/2014.
Dados: concreto C-20, momento característico (Mk)= 285 KN.m e aço CA-50.
5 kN/m²
4,74 kN/m²
4,95 kN/m²
4,91 kN/m²
5,46 kN/m²
Para a viga de 25cmx60cm e Momento Fletor Característico Máximo de 415 kNm, executada com concreto Classe C30 e Aço CA-50, d'= 4cm, determine a Armadura tracionada que deverá existir para resistir ao esforço.
2,58 cm²
22,27 cm²
31,51 cm²
28,93 cm²
1,54 cm²
Considerando uma viga bi-apoiada de seção retangular com h = 40 cm, bw = 18 cm, e d’ = 3,0 cm, calcular a armadura tracionada, sabendo-se que a peça tem um vão teórico de 8 metros, carregamento total (já considerado o peso próprio) de 25 KN/m e são empregados concreto com fck = 25 MPa e aço CA-50.
9,68 cm²
24,85 cm²
11,47 cm²
21,15 cm²
31,25 cm²
Com os dados do pilar da figura abaixo, considere como sendo um pilar de extremidade. Determinar o momento fletor de cálculo de 2ª ordem pelo método do pilar-padrão com curvatura aproximada.
Concreto C25, Aço CA-50, d’ = 3cm, Nk = 450 kN, Seção 14 x 35, lex = ley = 320 cm
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)
2057,14 KN.cm
2540,85 KN.cm
3024,52 KN.cm
1845,67 KN.cm
3250,50 KN.cm
Calcular a altura útil (mínima) que a viga de base 14 cm terá que atingir para que não necessite de armadura de compressão. Considere a profundidade de LN de acordo com as condições de Dutilidade apresentada na NBR 6118/2014.
Dados: concreto C-20, momento característico (Mk)= 285 KN.m e aço CA-50.
2,58 cm²
22,27 cm²
31,51 cm²
28,93 cm²
1,54 cm²
Considerando uma viga bi-apoiada de seção retangular com h = 40 cm, bw = 18 cm, e d’ = 3,0 cm, calcular a armadura tracionada, sabendo-se que a peça tem um vão teórico de 8 metros, carregamento total (já considerado o peso próprio) de 25 KN/m e são empregados concreto com fck = 25 MPa e aço CA-50.
9,68 cm²
24,85 cm²
11,47 cm²
21,15 cm²
31,25 cm²
Com os dados do pilar da figura abaixo, considere como sendo um pilar de extremidade. Determinar o momento fletor de cálculo de 2ª ordem pelo método do pilar-padrão com curvatura aproximada.
Concreto C25, Aço CA-50, d’ = 3cm, Nk = 450 kN, Seção 14 x 35, lex = ley = 320 cm
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)
2057,14 KN.cm
2540,85 KN.cm
3024,52 KN.cm
1845,67 KN.cm
3250,50 KN.cm
Calcular a altura útil (mínima) que a viga de base 14 cm terá que atingir para que não necessite de armadura de compressão. Considere a profundidade de LN de acordo com as condições de Dutilidade apresentada na NBR 6118/2014.
Dados: concreto C-20, momento característico (Mk)= 285 KN.m e aço CA-50.
9,68 cm²
24,85 cm²
11,47 cm²
21,15 cm²
31,25 cm²
Com os dados do pilar da figura abaixo, considere como sendo um pilar de extremidade. Determinar o momento fletor de cálculo de 2ª ordem pelo método do pilar-padrão com curvatura aproximada.
Concreto C25, Aço CA-50, d’ = 3cm, Nk = 450 kN, Seção 14 x 35, lex = ley = 320 cm
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da//79nSB/2mmnOdlRQNcNwfPPP2+bNm2y8847z1nJT+8vWbLEXn/9dWvevLmNGDEicGNQp04dU/P+e++9Z5deeqk1bdrUSUs3EPfee6/dfffdUSgqSSCAAAIIIICABHwF/7lz59qJJ57o/PNyvvvuu07Av/baawMBXp/PnDnTqdVfddVVlpeXFzjkiy++sAULFtjNN99smgjI3bZu3WoLFy50f+UnAggggAACCERBwNdo/27dulUK/K+99prppuCCCy4ICvyq2euz448/Pijwz5o1yx5//HFnf2/g1+DAF154wRo0aBCFYpIEAggggAACCLgCvoK/N1grQQX3r7/+2i6//HLzPgb4zjvv2JtvvmnqGvA+uqeWgP/85z82evRo22effdw8mQL/k08+aUcddZT169cv8D4vEEAAAQQQQMC/gK9mfz23725TpkyxxYsXO4HcG+CnTp1qb7zxhl1zzTW2YcMGKygocA5RjV/jAq644grr1KmTm4wtW7bMnnnmGTvllFOcLgANGmRDAAEEEEAAgegJ+Ar+Grmvza3xX3nllUFN+qrx66ZAgb9169amm4VWrVqZ5gdQjV8tBN7A//3339uzzz7rdCX07NkzeqUkJQQQQAABBBAICPhq9teo/g8//NAWLVrk1Pi9g/hU49fIfg36a9u2rXPCdu3aOTV7BXjV+L1N/cuXL7cnnnjCCfy9evUKZFDnYEMAAQQQQACB6An4Cv56NG/p0qVO4K9Xr14gVwr8qvH/4Q9/cGr87gdq6lfgVx+/t8avPv6nn37aTj75ZNt3333d3Z1uAiYRCnDwAgEEEEAAgagI+Gr2V43+rLPOChrVP2PGDHv11VftuuuuCwr8Gtz34osvOjV+79K+CvxPPfWUU+P3Bv61a9c6+3sHDkalxCSCAAIIIIBAhgv4qvl36dIlKPDreX318//xj38MCvyq8Svwa1Ig9fm7m5r6FfhV4/c29a9atcomTJhgw4YNsyFDhri78xMBBBBAAAEEoiDgq+ZfVlYWyMK8efOcAH/hhRda+/btA+/PmTMn8DifFvQpLS11PtPgPjX1n3DCCeYd3Kca/8MPP2zHHnusde3a1Zk6OJAYLxBAAAEEEEDAt4Cv4O+eXTV+1exHjRoVGNynz/Tonwb9aVS/O7hPA/hU41fgP+mkk4L6+NesWePU+DURkKYN1lZRUeGehp8IIIAAAgggEAUBX8Ffz/N/++239tJLLzkz9Lmj+pWvb775xrkhOPvsswOBX++7Nf7QwK+mftX41RJw0EEHBYrGaP8ABS8QQAABBBCIioCv4P/pp5+aHt9TU3+HDh0CGdITAM8995yzeI+a+t1NE/jocb5TTz01qMavpv6JEyfacccdFxT4tVqgzsGGAAIIIIAAAtET8DXgr7i42Anw3sCvlfs0c98ZZ5zh9Nm7WV25cqWzOp9G9HsH961evdpp6leN/xe/+IW7u23evNkZDMgMfwESXiCAAAIIIBAVAV/B/+CDD7aWLVsGMqIavwK/5vD31vjV1K+WAAX3jh07BvZXH3+4Gr+mAL7//vvtgAMOsCOPPDKwPy8QQAABBBBAwL+Ar+DvjtxXNtwa/+mnnx5U49fgPi3S4/bl79ixw8m1Av+DDz7oNPW7g/v0wZYtW5zAP2DAAKcLwN3ff1FJAQEEEEAAAQQk4Cv4u4Tu4L4RI0aYnv13N03go0V6NLhPj+2pCV+DBN0+/hNPPDEwql/HuDX+QYMG2eGHH+4kU15e7ibHTwQQQKDaAlpLJFp/P5QWTx5Vmz5ox2hdg6BE+cW3gK8Bf5p9b/369c5z/OECf+jMfdpfLQRvvfWWHXPMMUGD+1Tjf+CBB0w1/sMOOyxQMEb7Byh4gQACNRBo2LChFRUV1eCIqnf1zmlS9V58Ek4Au3AqiX/PV81/wYIF9sorr1Qa3KdR/Qr8qvF7B/dt3LjReSxQE/iEDu4bP368E/jdGr9o9KWZP39+4pXIAQIIpJyAWhu9E475KUCdOnUsKyvLTxIpe2zpzh22ozS0BbbCSvR+yc8TvVVVwNq1a1f1Ee8nUMBX8NeI/KOPPjpocJ9G9aupX0363rn6161b5/T9H3XUUda3b99AkZWGBvd5m/r1oboINHhQNwxsCCCAQE0F1NxMU31N1Srv/8Ydv7GDfvkbm1/gvQHYaQ9dd5FdNv5tYx62ymap8I6v4K/au57zd7eqluXV4L5HHnnEGb3vncp369atTuDXUwPepn4936/99cSAtyXAPQ8/EUAAAQTiI1BaUmhff/Jvu2OCN9BX2NZNG2zDFg3gZhbW+FyJ6J7FV/DXIBh38w7u8zb1a+a+hx56yBnVr9YANZ9p0+A+NfUPHDjQjjjiCDcZp49u0qRJ1r17d2cwYElJSeAzXkQuoLEWs2fPjjwBjkQAgQwUKLfi8mY2eOgJtuLV++yRj9cEQn1Obq7l5vgKIRnomTxFjsqV03P86uPX43yhTf3uIj19+vRxWgn2228/U41fj/mFq/FPnjzZCfzqHtDGSNHofFm+/PJLZ8XF6KRGKgggkBkC6tsvtr0HjLSbL9nfHrzpTlu2UzX9qISOzCBM0lL6uoIava8+eT3Hr1q9t8avmfvc5/jdwX0aMKPAf9999zmB31vjd5v6u3XrZm7gl1lOjq8HEpKUPf7ZUouLHrNkQyDtBMpL7MfVq2xj0U8rhqZd+RJeoHIr2mE27Nzr7Ji8L+3OSTOsoiKP8J/w6+IvA74iq1bt02j/0MDvztynUf2hE/hcf/31NmzYsKC+fD2OE1rjd4ultNgQQACBKgWKN9hbT02yRdtrW/PmLa3PQYNsSP8elpfr689blafLxA8qSneaWUO74s/n2XGX3W0fHNPT6tf/qQs3Ez3Socy+/u/QZD0akOedslfvTZgwwenjd2v8gtLo/auvvtq5GTj55JMDdurTf/TRRy20xq8d3nnnHfv8888D+/ICAQQQqCRQt42defFvbcpTk+zu8X+1p9vtZ0OG9LemnfazIW15zKySV4RvqLG/5cHn2PXHTbfbr7vTetUzq9M83OOP5bZl3Xorz29kjffiBiFC7pgf5qvZX3323sBf1SI9msBHNf699trLhgwZEijUzp077a677nLGAuiRQe+mxwW1cJBaCdgQQACBqgR2bfvBnpk42Wata2w3T37Z3nvlX3bR4d2dLsnyinDBqaqUeH93Aj+N6c+xU/90o/UsfN8mPf+B5ebnmVmocbY9f8OfbeLrC53HAEM/3d05+Cx+Ar5q/t5s/vjjj84iPaEz96mP/7rrrnOe4z/wwANt06ZNzmEK/H/961+tbdu25m0J0IcK/BoD8Otf/9rmzZvnPQ2vEUAAgSCBWvXa2Wmjr7dz6tYKvN9z0El2Tp05tm79hsB7vIhMoHhboRWWFf98cL197Kox59gj/73a1m/XOAvdFijE77A506fZmh15traoxHIr3RT8nASvEi/gK/i7E2ioxu+uzuft41fgv+aaa5zBfWeffbbNmTPHNNuTHhFUjV+B/8ILLwxSUODXjcF5553nvO9dPChoR35BAIEMFii2L99/x+YsXWNWK8dyc7KsNKu+DTnqOOveoq7jsuunqmoGG0Wj6Nl2+EXXWNeK9pbtmeFw7yNG2VuvdbCd7Q/438yHO+2dCX+1F5eWW69WteytrxfbMaerVYAtWQV8Bf+8vDzneX0F/tDBfZq5T039mqv//PPPd8qvkfuq+f/tb39zmvrDBX6t4qf93ak0a9X6+W4+WRHJFwIIxFOg3D58+Fa77O63rUvfLla7otzKK8rN6nawroOOsu4tfsqLWzmJZ87S71xZ1nXAr6xrpYLVtSHHnRp4t3TNXJv82hq77NEH7ZctCu37WXOslDlaAj7J+MJX8P/uu+/s6aefdgJ/6OA+NfWrFcAN/Cq8ntnXc//q33dr9i6KavwK/Oecc04g8Oszd3pf3Qw0btzY3Z2fNRTQIie6WWNDIPUFCu2tl9+3AVf/3R4a9Usal5PggpZs3WCFuQ2saQNlpoH1atHG1u7a87z/SZD1jM2Cr+CvpXxvu+02807Zq8F91157rdPU7w38GrynKXs1qj808OsGwm3qz87+eQzi+++/H5iVTmMA/vSnPxHAIvyqaoY/zcug6+DOshhhUhyGQIIF9rL+hw6wtwsKTD3OjOdP8OUws3od+toBe71gU96cZ80O2GGvzf3Meh7iK7wkvlBpngNfV2fo0KHVCvwK7Pfee69peV6t9Ofd3D7+c88917yB/6WXXnJ+15z/H3/8sdMqoAGCbJEL1KtXz/74xz8GXbPIU+NIBOItsN2evutGe+y9ry1rx2p7f8Z4e/+VIda5eX3bVVZq5fU62pjb77IjujWMd8Yy4nxqudUqq23atLHmzZsHl7luB/vTbZfZPQ/9y8bOqG8d+w+1/ds3rPwgQPBR/JZAAV/B3+2XV/4LCwudmrke/wut8WtwX6dOnZyZ+7zra3ub+r19+wr8enpg1KhRtnDhQodH52rUqFFQl0AC3VLu1JpPQeMvWrdunXJ5J8MI/CRQ23r0G2wn7bWPZdfKtRHnmZUUlwbmmrfazWzvprHp2srkFQL1N/vll1+2J554wmbOnOn8LVfr7RVXXOFU6Nxv5157D7Cbxw5wfw383FXuXQ0w8DYvEizgK/i78+67z/F7B/epXOrDv/vuu53BfarZf/vtt4EpZp999lnncb4LLrggiECBX8v/uoMB3YV9FPjnzp3r3AAEHcAv1RJ48803nRsqObIhkJoCOdb3iFOs78/rgMWtGPo7lMwDCFV58racRhNmxowZToXOXchNj1+PGTPGZs2aZTfddFPQtO7hzuseF6v8hTsn7+1ZwFfwVx+ymvTVxx86uE99y2qm15K/biDXEr3a3MAf2vevwL9+/XrTDYG6CLS5XxjV/Fu0aGFqumaruYAGS+qmig0BBGouoL917t+imh8dmyNU+dLMqbop0WPVqmyplu5WyvyeVX9zlfYDDzwQNs3nnnvOzjjjDOvQoUPYz3V+3ZS4+VFeo5m/3ZVP59Qg52S7ZrvLc7w/8xX8FUzuuOMO00j/3/zmN4G864Zgd8/xa/Ceuga8F+bFF190Ar/S0VwA7qYvtbvp7pvg72rU7KfmS0jmmkvNSsPeCMRXIBn/31Ew/eCDD5zgqr54PX2lZnm9H41NgVuVuKVLl1b5t0Pru2jBMN14hNsaNGhgGhiubdGiRU5rgbqIY72p8qjz6Vze7mk/5z3++OOD1qrxk1YyHOsr+L/33ns2btw4Gz58eKAsCvyhNX73Q2+N3xv41Z+kPn61ELg1fh2jL7bOwYYAAgggECygitAhhxzivKnHeBX0Bw8eXGWgDj56z78paOrv+T/+8Q9TkNffbLcW7x49aNAgO+igg6o8p47RgG1teips4MCBVe7rphmNn5pTRudTXInWjVv79u2jkbWkScNX8Nfz+t7A7zb1a1CZ29TvllSBX00+eo7fO7jPDfyq8XsD/5QpU5wJgbTs72effeYmw08EEEAAgf91idavX9+x0LopugHQDUG0arpKWN0d6p5Vi0Jo4Ndqruru3VNrrNLQphaCaOfPSbiK/3Tp0sX0jy28wM8P1Yf/fLfvei+6mn3U1K/HQC666KKg4zSqX039muLXW+NXH79WAVTg9z57/uqrrzqj/LU/E/sEUUb8i264ysqYdCNiQA5EIIkFNKguNDhHI7v6u6G/51p59YADDnACuCp36rb9y1/+ssfArzy4+XJ/RiNfpOFfwFfwdy+m+uI1Za/m6v/tb38blCvV+HVjoBq/AryaY7S5NX7v4D69/9prrzlNTJdffrlzo6DWBDb/AhpIqYE5bAgggEBNBVT71xLr+juuWVonT55s++23X02TSZr9yzcvtht+O8omvbfcWXmwYu0n9ofLrrF3v9n886OjSZPb2GTEV/B3a+t33nmn8/x4aFO/avzqh9IXxw36KoZb49fdo3dwn5r6NUhj9OjRgUcCvUs+gLcAAB97SURBVC0FsSFI/1S//vprW7NmjWnAChsCCCAQiUCzZs2sZcuWznP+0exaiCQvfo/JbriPDe2dY/fedpctKyiwx/96ty3J2cf67t0gY6aL9tXnr8V7JkyYEHZ1vpoO7lNTvwaVaOII7xz01Pz9fc03bNhgr7/+up155pnm9g/6S5GjEUAgUwX01JAGAab8lpVrw35/i527YLSdP+Icy2vR2/7+z1HWJEdLE2fG5qvm/+6771rTpk3DDu5TH78m9vEO7tPc/p9//rnTX+Qd3PfGG284gf+yyy4LCvxffvml/fe//82MKxGjUn744YemG4BK03HG6HwkiwACCKSGQDO7fPTxtuD9N6zdsDOsV5PMCfy6Pr6C/6GHHmojRowIus5q0tcYADXpe5v63377bfvqq6/suOOOCxrcp5nnvvjiC7v66quDBo8o6OsYPUribt4bCfc9fu5eYNiwYc6jOHokU9cmHs/Y7j5HfIoAAggkg8A2e+Gl96zboMG24vWnbOHWzJqG2Fezvy7f8uXLnauovvm33nrLvv/+e2fQn7dP6JVXXjHV4jX97w8//ODUQtXXP336dFNz/1VXXeWM+teAQW26IXj88cedxYD+/e9/O+8pPdVgNXDNm7bzoZnzLKfyoKcN3LEI+mzTpk3Ov3BjB/T8p25QNHrVO/ZAAxTdx1OUhro3dN6qbj408FGzD2pCC3fTY43qZ6/qGI3O1XndpnjlRV0c3i4PNa8pDaXvLbN+V01eM1jtadMTGaeddpqTjuZMmDhxorPioiZm8pZ5T+nwOQIIpLjAznX24UfzLbt5Zxu0f6cUL4z/7M9/+UF7eFa+PTFlin1w04V20+1P25N3jbQ6WZnRAuAr+K9evdoZoKcmfgV+BcwhQ4Y4M0JpWl8FVndUvyaf+OSTT5zHzfS8p4K+ApsC06pVq2zjxo3O2AHV9jVQ8JZbbnEGl7izVSmI6nw6JtykDQqI6kpQAPYG/5UrVzotDt5WCPdrowCsvGi+ezcQKh3NKqgg7AZczWSovHvTddPQTz1CpwWNvMFf5Zk9e3YgXe/+eq3WkV/+8peB4O89r7uvauma40D9bN6bF/2uiTWqE/zdtHSjcdZZZzk3MZquU60AN9xwA2sluED8RCCNBbYu/9wemfSqlbVsbsXrptqM+cfZlWf+0ur6avtNXbDiNbPtngnT7LQ/3G+dGzS0dlddZi+ddrtNmj7YLjtkb8uE+O8r+O+7776miX40x7OC/siRI4Oa+hX49Ry/Hv9T8FWwUhBXYNxnn31s7NixQQFMTf2q8WvKYPexNLfmrADbu3dv5zw1+cr16dPH9K+6m4KsRrR6t+7du5v+1WTr2LGj6V91N5VTrQfeTbV77yRK3s9q+lo3F2pp0VSbOo9uPLytGzVNj/0RQCB1BGa/9og9NqvYbvh9fyvduchuv+s+O+zIwda/eWZG/5yGXe2Whx+x9u1bOaP78zoeZv9+tYttz22SEYFf31xfwV8B5f3333ce5ws3c59qzJrAx611qwlaTwFo4h4N7lOt291U49eSkd7Ar89Uy2XzL6ApNjVRh1bjqsnNkP8zkwICCCRWoMI2rS+wZu06WOG61ZbVZrDd/c/O1itDA7+uRa38Jtbx5/DjXJ7GrTtY48ReqLie3ddtn+beV3946Kh+NSm7gd/bVD5t2jSn1j9q1KigwO/W+G+77bZAjV8KS5YsMR3jbuGa+93P+Ll7AV0PTcVJ4N+9E58ikH4CWbZP9x5Wd0d9O/mCC+384wZavbJatvLrL23p2p8XTku/clOi3Qn4qvmrKfykk04K9I3rRBrcp8UUQlfn0yA+9V/rKQDvoDaNFXjyySedGr934QTtq3Wj1dSvx9XY/Amo9YVWFH+GHI1AqgocNPxyu6hgvI25aLTlNGxo3du0srkTZtjA395qja2pNWrV0gpXrbU6rVpZfq1ULSX5romAr+CvQWTuoDid1O3jDw38mrnv22+/dWb6cwfWaX9NF/nUU0+ZavzewK/BdVri97rrrnMGqNWkQOyLAAIIIBAskJXX2E66/EY7ducOK8/Js1oVRfbOc6W2tYHZmvkf2qOTv7FGHQ+wU09rafm1MmO0e7BQ5v3mq9nfu1CMavzu4D5vU7/m6l+4cKFdcsklznKTbrOz+vj/9a9/OYF/7733Dsh/+umnpsf7NCWwBgjqSQI2BBBAAAH/Arl5da1OTpbl5O5lzerXspJae1m3Pu1s1tSZltPrQGtSh8DvXzk1UvBV83cfP1ON3+3jdwf3qfjeufrdGwL9VFO/avwa7R9a41fg/93vfmddu3Z1BL0tC6lBSi4RQACB+Aro7663O7U6Z2/RtrPtbJxty+ZtttE3/N6KV39tpX2aW+3dxH/9/XafwKrOOdgneQV8BX8F5hkzZjg1fq3O523SV41fC8podT7vqH419WtUf2hT/5w5c5zH/LS/G/iTl42cIYAAAskhoDlDNFeKukvvvfdeZ+4VVcw6d+682wyWl++yioqvrKyk3Oo1qm/Fm7fYFwtmm3d6e7Xuas0VzWGix7M1G6sma9t///2Dunx3eyI+TEoBX8FfgV+T94QGftX4wwX+qVOnVnqOXyr60qoL4Morrwx6nn7ZsmVOK0FSypEpBBBAIAkEFOhVEdOkYPPnz3cev9ZgbE2l7rbOhstmVpZ6fSvMebC9osJJQ49vezd1u2pCtoKCAjvyyCNNM5fuLk3vsbxObgFfwb9Tp0526qmnBn0Z3MDvXZZXBJpaVkv/alY5dwIfve/W+NXU361bt4CW1gFQWu6Uv4EPeIEAAgggEBBQk3+rVq3skEMOseuvv94J4qqxe7tgAztH8OKUU04JpOXOvEp3bASQSXaIrwF/6q/33gXqDlGD+7Qsryb0cTc9x6/H+S699NKg93WX+thjj5luFEID/8MPP2ynn36608SkdPRlq2mflnt+fprTJROtPwZ4IoBAcgmoxu4dgB3N/9e9af3+97+3nj17JlfhyU1EAr5q/t4vm9aMV9+QArk3SCvwq49ftf4tW7Y4k/wop3r0T3P460bBO3XuggULbNKkSc48AWpZcOf21zz86gaoyXz2EYkk6UFa5EeDKrVwkXc55OpmV09iaGEk/ZHw3rBV93j2QwABBDL17286Xnlfwd9t+lHgVzN9VYP7br31Vqf5Xiv6qUVgxYoVzuN8WmjGG/h18zB58mQn8LuPBLqz+unGoV+/ful4DapVJjnoZiuSwK8TKOjrpkzTMDOgslrk7IQAAgikrYCv4K9goil+tVyvmoO8o/r1OF/oXP0K/Botqhr8GWecYVoYyN00WlXz/p999tlBU9C6wU7BT7XfTN/UAhLppgWLeEwnUj2OQwABBNJHwFfwV5N+06ZNLXSufu/Mfd7Bfar566bgxhtvDOrj1/u6UTj55JOdR0hcXi2tq2VxtenGQoMFWYnO1anZT3Wn9OjRw3lcp2ZHsjcCCCCAQLoJ+Ar+Wp1Pgd/bD6SZ+zRRz1/+8hfzztz3/fffOzV7jRz1Du5bs2aNE/iPOuqooMCv/ml1J7ibgv61117r/srPGgpo9UW1urAhgED6Cahbj7U70u+6xrJEvkb7H3jggUGB3x3cp2V5vYFfa8g//vjjduihhwa9r6Z+jfZX4O/bt2+gnOvXr3f6/jWHwJAhQ5z31eyvZ03ZIhNQK4r+QLAhgED6Cahy1KxZs/QrGCWKmYCvmr/3TtOduU+D+7xN/d99911gcJ/6mzdt2uQUZvXq1c4NgSai0GxR7qYVAXVDoBuFLl262I4dO9yP+IkAAgggEEZAg6FVgXIHYYfZhbcQCBLwFfzdL5pq/KrZq8YfGvgfffRR+/Wvf+2M6tc0lJoiUoFfXQPhmvoV+IcOHWq/+MUvnIy6o/2Dcs0vCCCAAAIBAf0tZjBvgIMX1RDwFfw1en/WrFlOn73m6vcGfj3Hryl7R44cGZgUQnP/q49fgf/oo4+2Aw44IJBFt8avWaoOPvjgwPve9QICb/ICAQQQQAABBCIW8BX8NbhPj98p8Hv7+PUonwK/ZujzzgaliWbcGr838Gtwn2r8oYFfE/xo3n82/wJqQaHP378jKSCAAALpIOAr+KuZ6ZprrnHmlXYxVONXIPfW+PWZmvofeeQRO+aYYyoN7lPXgJr6vTV+LVKhGQDdGf7c9PkZmYBm9aNZMDI7jkIAAQTSTcBX8NdIfC0o4W4a3Kcav/r4vTV+jerX3P6/+tWvwjb1a3Cf28evtDSq/8EHH3S6BjZv3mwaTMjmT6B///5Bkyr5S42jEUAAAQRSWcDXo37e0f4K/KrBq6m/V69eARN3VP+wYcOcx/bcRSLcpn7v4D4dpEfSHnjgAedmQI8SMqtfgNLXC92k7Wl9b18n4GAEEEAAgZQR8FXzd0vpDu7TXP2aRc7dVOPXUwBq6nfn6tdnVQ3u0/z948ePt4EDB9rhhx/uJEM/tavJTwQQQAABBKIj4Cv4a2IJDeJzB/d5A79G9Svw63E+b+DfuHFj2MF9at5Xjd8b+FVEd27/6BSXVBBAAAEEEEDAV/BfuHChPf/8884iPaFN/e6ofu/MfWoh0PvHHntspcF9//znP23AgAGBGr97ab7++mv3JT8RQAABBBBAIAoCvoK/av2aoa9Tp06BrKipX4v0hDb1q49/3Lhxpn5876h+t8Y/aNAgO+ywwwLpaEKg+++/3xYtWhR4jxcIIIAAAggg4F/A14A/jfb3Bn63qf/II4+s1NSvGwI9AeDtAtDgPgV4jfT3Bv7i4mL785//bE2aNDEtBMSGAAIIIIAAAtET8BX8vYPxVOMP19SvwX16vl8T+Oif+9y+Bvf94x//cFoBjjjiiECJysrKnMCvtefPO+88Y3rfAA0vEEAAAQQQiIqAr+DvBmY1/6tmrxq/t49fTf0aDKigr/cV+PPy8gKP82lwnzfwq8b/f//3f9a6dWsbM2aMU0DdDLAhgAACCCCAQPQEfPX5a7R/UVGRM3o/dFleBf7JkycHzdxXp04dZ6Y/rS2vSWfcx/lUHM0ZcMMNNziTBl199dWBEjLaP0DBCwQQQAABBKIi4Kvmr9H7zz33nDMTn7fGr6Z+TfijGr9G8Lublud9+umnnT5+b41fg/uuv/76SoFfx33zzTfu4fxEAAEEEEAAgSgI+Kr5r1ixwgYPHmzdunULZMV9jj/cXP167l9N/bopcDc166vGr6Z+b41f4wm0/6effuruyk8EEEAAAQQQiIKAr5q/Ark38K9fvz7Q1O+t8Wtw34QJE5yV/7zvK/+TJk2ydu3aBQV+vX/fffeZFqMZPnx4FIpJEggggAACCCDgCvgK/llZWW465q3xewO8nuPX43wHHXSQXX755da+fXvnGA0WfOihh5wBgFdccUUgHb3QFL+q+Z9zzjlWu3btoM/4BQEEEEAAAQT8Cfhq9ncf9VPgV81eA/i8E/hoWV73OX6t6KdNgwQV+FXj1wDA888/P6gEWv1Pn//ud79z3vcuHhS0I78ggAACCCCAQEQCvmr+CuQaxPf3v//devfuHTS4T039mrJXNwNa0c+7Pfzww87a8qGB/5lnnnGW8x09erS5q/+xBr1XjtcIIIAAAgj4F/AV/DWxz8SJE50Af9JJJwVyo8f/7rnnHuvXr1/Qc/zaQRP+qCn/ggsuCOyvF0899ZTp8cBLLrnEuTFwPywoKHBf8hMBBBBAAAEEoiDgK/hrJP5+++1nJ554YiArmshn7NixzkBATfrj3TSjn8YAhNb49fjfpk2bbNSoUYEav46bOXOmffzxx94keI0AAggggAACPgV8BX/143vn5Fcf/5133mn77ruvnX322YGsqQ//scces2XLlgU95qcdFPhV47/sssuClu99/fXXTS0L3scCAwnyAgEEEEAAAQQiFvAV/NXn727q+7/rrruse/fudtZZZ7lvO6P2NbhPTf0ava8JfdxNffwaLKimfj3W524K/MuXL3cW9WnYsKH7Nj8RQAABBBBAIAoCP0fcCBLbtWuXc5Rq/Lfffruzap+3xq8PFfg1eG/kyJFBi/Qo8GtegEsvvTSoxj9lyhQn8GtMgI7TfP9sCCCAAAIIIBA9AV+P+mmRHj3uN27cOGep3hEjRgTlTKv81a9f3wn8+kAj9/V432uvveYs7hP6fP/UqVNNywJrtL+7MdrfleAnAggggAAC0RHwFfxV49eEPA0aNHDm99dgPvfZf835r1H/qsG77+v3V155xRo3bmwXXnih6XFAt/Xgo48+snnz5jnL+Hrf37p1a3RKSioIIIAAAggg4Aj4Cv5avEeT8DRt2tRuueWWIFIFfAX5O+64I9Dcr0CvYK5+fM0N4N4o6EDdSGgMgVoR3BsCva+xBGwIIIAAAgggED0BX8HfHbyn0frhNj2+F25TzT7cphsA/WNDAAEEEEAAgdgJ+Ar+msP/2GOPrXbufvjhB6dW37Fjx2ofM23aNNM/NgQQQAABBBCIjoCv4K9le7Ucbyw3dQUQ/GMpTNoIIIAAApkm4OtRv3j0x2vGQDYEEEAAAQQQiJ6Ar+AfvWyQEgIIIIAAAgjES4DgHy9pzoMAAggggECSCMQ1+GskP8/tJ8mVJxsIIIAAAhkr4GvAX03VNCOgFvlhQwABBBBAAIHECcQ1+Ofm5iaupJwZAQQQQAABBByBuDb7Y44AAggggAACiReIa/Dfvn278ehe4i86OUAAAQQQyGyBuAb/+fPn29y5czNbnNIjgAACCCCQYIG4Bv8El5XTI4AAAggggICZxTX4Z2Vlmf6xIYAAAggggEDiBOIa/BNXTM6MAAIIIIAAAq4Awd+V4CcCCCCAAAIZIkDwz5ALTTERQAABBBBwBQj+rgQ/EUAAAQQQyBCBuAb/srIyKy0tzRBaiokAAggggEByCsR1et+2bduabgDYEEAAAQQQQCBxAnEN/h07dkxcSTkzAggggAACCDgCcW32xxwBBBBAAAEEEi9A8E/8NSAHCCCAAAIIxFUgrsG/sLDQtm7dGtcCcjIEEEAAAQQQCBaIa/BftGiRzZs3LzgH/IYAAggggAACcRWIa/AvLy83/WNDAAEEEEAAgcQJxDX4s7BP4i40Z0YAAQQQQMAViGvwd0/KTwQQQAABBBBInADBP3H2nBkBBBBAAIGECBD8E8LOSRFAAAEEEEicAME/cfacGQEEEEAAgYQIxDX4M9o/IdeYkyKAAAIIIBAkENe5/du3b8/CPkH8/IIAAggggED8BeIa/LWqHxsCCCCAAAIIJFYgrs3+iS0qZ0cAAQQQQAABCRD8+R4ggAACCCCQYQJxDf5a1GfLli0ZRkxxEUAAAQQQSC6BuPb55+fnW0VFRXIJkBsEEEAAAQQyTCCuwT8nJ66ny7BLSXERQAABBBConkBcm/2rlyX2QgABBBBAAIFYCsQ1+JeVlfGcfyyvJmkjgAACCCBQDYG4Bv/Fixfb/Pnzq5EtdkEAAQQQQACBWAnEtRO+sLDQdu7cGauykC4CCCCAAAIIVEMgrjX/7Oxsq1WrVjWyxS4IIIAAAgggECuBuAb/WBWCdBFAAAEEEECg+gIE/+pbsScCCCCAAAJpIUDwT4vLSCEQQAABBBCovgDBv/pW7IkAAggggEBaCBD80+IyUggEEEAAAQSqL0Dwr74VeyKAAAIIIJAWAgT/tLiMFAIBBBBAAIHqCxD8q2/FnggggAACCKSFQNyDP0v6psX3hkIggAACCKSwQNyDf25urm3dutW++eabFGYj6wgggAACCKSuQI2Dv4J3VlaWU2JN11uTTcfVqVPHxo0bZ3fddZdNmzZtj4d7pwPWudkQQAABBBBAwJ9ApYV9tmzZYtu2bbNwgV3Bu6SkxHbs2OGcVTX4DRs27HGZ3iZNmljt2rWdwP/mm29agwYNbOzYsfbiiy/aF198YSeccILzXnl5eVBpcnJyrKCgwHlP5/3hhx+scePGVlXXgfKnz3UuNgQQQAABBBAIL1Ap+C9dutS+++67sAFUtXAFYTe4rl692j777DPnZiBcQNYNhFbyU1AfOXKktW7d2rSs7+jRo61Zs2Z28cUX2wsvvGAzZ860hg0bVgrqukn48ccfnZyr1q9z6b2ysrJKpdE5dLMwePBga9q0aaXPeQMBBBBAAAEEfhKoFPz79u1r+++/f6BpPxRKQb5r1642depUO+yww6xXr16huwT9rqA8ceJE002FbgY6d+5s/fr1C+wzfPhw5+ZAAd3tTnA/1O/av3///tanTx8bOHBgpX3cfd2fugFgQwABBBBAAIGqBSpFStXuvf3s4Q7VzYH+VXdTbfyjjz6ytWvX2vHHH1/pMN0UuK0JoR927NjRrrzyytC3+R0BBBBAAAEEIhSo2Yi9CE+iWvvrr7/uNNfvt99+EabCYQgggAACCCAQDYFKNf9oJBqahloSbr31VsvPzw87kDB0f35HAAEEEEAAgdgJxCX4K/u9e/eOXSlIGQEEEEAAAQSqLRCXZv9q54YdEUAAAQQQQCDmAgT/mBNzAgQQQAABBJJLgOCfXNeD3CCAAAIIIBBzAYJ/zIk5AQIIIIAAAsklQPBPrutBbhBAAAEEEIi5AME/5sScAAEEEEAAgeQSIPgn1/UgNwgggAACCMRcgOAfc2JOgAACCCCAQHIJEPyT63qQGwQQQAABBGIuQPCPOTEnQAABBBBAILkECP7JdT3IDQIIIIAAAjEXIPjHnJgTIIAAAgggkFwCBP/kuh7kBgEEEEAAgZgLEPxjTswJEEAgEQJaSlz/2BBAoLIAwb+yCe8ggEAaCGzfvt127txpFRUVaVAaioBAdAUI/tH1JDUEEEgSgZdfftnGjh1rxcXFSZIjsoFA8ggQ/JPnWpATBBCIokBOTo4VFBRYnTp1fKealZXltCDQjVBzynr16tX8II6IuUBOzM/ACRBAAIEYCJSXl1fZpK9g3bZtW+vdu7dpPzd4R5INHbtr1y7nJmLdunU2ZsyYSJLJ2GM+/fTTKq9TxqIkQcEJ/klwEcgCAgjUXGDu3Lm2cuVKUw0/dKtbt66tWbPGVOt8++23raysLOIAlJuba6tXr3a6D7Zt22b33ntv6On4vRoCJSUl1diLXeIlUPn/mnidmfMggAACPgQ6depkLVu2dGr1ocmoeV6BPzs729q3b+/U/kP3qe7vSqtLly42fPhwmzp1quXn51f3UPYzc+x1MzZs2LCw1wqkxAhkVTAUNjHynBUBBGIqoD9tarKP1jZx4kRr0KCBnXLKKdFKMiPSKSoqsptuusnGjx8f1euREXgxLCQ1/xjikjQCCCROIJqBX6XQUwN5eXlRGUCYOJX4n9mtX2rsBQMm4+9f1RkZ7V+VDO8jgAACIQIa+MdWMwE/4y1qdib2rokAwb8mWuyLAAIIIIBAGggQ/NPgIlIEBBBAAAEEaiJA8K+JFvsigAACCRUos8/enWJvf74yobng5KkvQPBP/WtICRBAIGMESuydxx+0ye8uMZYsyJiLHpOCEvxjwkqiCCCAQCwEsqxe46bWMGujvTDxZht5wZ/tw6WbYnEi0kxzAR71S/MLTPEQQCCdBHKsbvZ2m/n8w7a1U11b+dViu+SSTfafl/9p++5FXS6drnSsy8K3JdbCpI8AAghETaDcdm7fZfsMOdeeePIV+/CjJ6xz6Tf20aICY+HiqCFnREIE/4y4zBQSAQTSQ6DcynLrWusunSzbssyy61mzRvWtpKQ0PYpHKeImQPCPGzUnQgABBPwLZFVUWJm7SM6uMttVHt1pjP3nkBRSQYDgnwpXiTwigAACjkCF7dxWZEU7/1fTr9hlRYXbzGqV2uL33rPPVhTZhiWz7aWPltANwDdmtwIM+NstDx8igAACySSQY/sfcpQ1btXe1OpvuU3tiOOPsR4tG1vz4mx74PF7zUrr29DTRzofJ1POyUtyCRD8k+t6kBsEEEBgNwK17ejzLv/587od7JI/XvW/34daixX/sPe7/9b+vG/Ln/fhFQJhBGj2D4PCWwgggEBqCVTYjwun286ug+zAnJX2ybcbUiv75DbuAgT/uJNzQgQQSEUBLRGck5OsjaXFNn/hejvw9EvsoiN72rcLVlh5kjz7V7t2bcvOznb+peJ1T9c8J+s3OV29KRcCCKSgQGlpqe3YscPWrl1ry5YtsyVLlliLFi2sU6dOppuCxG8V1v+oYy0ny6w8q5+d0K7MCrduSVi2CgsLbf78+damTRvLzc217du327Zt26x+/foJyxMnDhYg+Ad78BsCCCBQSWDz5s22fPlymzVrlj322GPOzzPPPNNOPvlkKy4urrR/Jr+hYP/999/bjTfeaO3atbOuXbtaQUGB896+++6byTRJVXaCf1JdDjKDAALJKNC8eXPr27evDRkyxA4++GCn5q/A1rNnTysrK0vGLCcsT2ri37Jli/Xr18/k1qRJE7vvvvscq4RlihNXEsiqqGBtqEoqvIEAAgiECGzcuNHy8vKsXr16IZ/w654E1qxZY61bt97TbnweRwGCfxyxORUCCCCAAALJIMBo/2S4CuQBAQQQQACBOAoQ/OOIzakQQAABBBBIBgGCfzJcBfKAAAIIIIBAHAUI/nHE5lQIIIAAAggkgwDBPxmuAnlAAAEEEEAgjgIE/zhicyoEEEAAAQSSQYBJfmJwFTR1gia5KCkpqVbqmvu6YcOGEU8TqvNt2LDB9FNTjSotpRmtrTrl0bSd+fn5gVMWFRU5U3rqDeWpcePGSTwveiDbvEAAAQQyQuD/ARFEdAwgO2cCAAAAAElFTkSuQmCC)
2057,14 KN.cm
2540,85 KN.cm
3024,52 KN.cm
1845,67 KN.cm
3250,50 KN.cm
Calcular a altura útil (mínima) que a viga de base 14 cm terá que atingir para que não necessite de armadura de compressão. Considere a profundidade de LN de acordo com as condições de Dutilidade apresentada na NBR 6118/2014.
Dados: concreto C-20, momento característico (Mk)= 285 KN.m e aço CA-50.
2057,14 KN.cm
2540,85 KN.cm
3024,52 KN.cm
1845,67 KN.cm
3250,50 KN.cm