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Universidade Potiguar 
Curso de Graduação em Engenharia Civil 
Fundações e Obras de Contenções 
Prof. MSc. Francisco Mateus G Lopes 
Lista de Exercícios – Capítulo 05 – Dimensionamento Estrutural de Sapatas 
1) Dimensionar uma sapata retangular rígida, para os casos abaixo. Utilize 
barras de aço CA 50. 
2) Dimensionar sapatas corridas rígidas, para os casos abaixo. Utilize 
barras de aço CA 50. 
3) Dimensionar sapatas circulares e rígidas, para os casos abaixo. Utilize 
barras de aço CA 50. 
4) Dimensionar sapatas flexíveis corridas, para os casos abaixo. Utilize 
barras de aço CA 50. 
Pilar (cm) σs (Kgf/cm²) Carga do Pilar 
Caso 1 20x50 2,00 500 kN 
Caso 2 35x35 1,50 80tf 
Caso 3 40x90 1,85 100 tf 
Caso 4 35x40 0,98 950 kN 
b0 (cm) σs (Kgf/cm²) Carga do Pilar 
Caso 1 20 1,50 30tf/m 
Caso 2 30 2,00 800kN/m 
Caso 3 40 2,50 98tf/m 
Caso 4 35 1,00 950 kN/m 
r0 (cm) σs (Kgf/cm²) Carga do Pilar 
Caso 1 20 1,00 50tf 
Caso 2 30 2,00 1800kN 
Caso 3 40 3,00 150tf 
Caso 4 35 4,00 1050 kN 
b0 (cm) σs (Kgf/cm²) Carga do Pilar fck (Mpa) 
Caso 1 20 1,50 50tf/m 15 
Caso 2 40 2,00 400kN/m 20 
Caso 3 60 2,50 89tf/m 25 
Caso 4 70 3,00 1700kN/m 28
5) Dimensionar sapatas flexíveis retangulares, para os casos abaixo. Utilize 
barras de aço CA 50. 
6) Dimensionar sapatas flexíveis circulares, para os casos abaixo. Utilize 
barras de aço CA 50. 
Pilar (cm) σs (Kgf/cm²) Carga do Pilar fck (Mpa) 
Caso 1 20x25 1,80 750 kN 20 
Caso 2 45x20 2,00 90tf 25 
Caso 3 65x30 2,20 150 tf 28 
Caso 4 70x30 3,20 1500kN 30 
2r0 (cm) σs (Kgf/cm²) Carga do Pilar fck (Mpa) 
Caso 1 45 1,50 55tf 20 
Caso 2 55 2,50 2000kN 25 
Caso 3 65 2,00 190tf 28 
Caso 4 80 3,00 1070 kN 30

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tabela de aço

  • 1. Universidade Potiguar Curso de Graduação em Engenharia Civil Fundações e Obras de Contenções Prof. MSc. Francisco Mateus G Lopes Lista de Exercícios – Capítulo 05 – Dimensionamento Estrutural de Sapatas 1) Dimensionar uma sapata retangular rígida, para os casos abaixo. Utilize barras de aço CA 50. 2) Dimensionar sapatas corridas rígidas, para os casos abaixo. Utilize barras de aço CA 50. 3) Dimensionar sapatas circulares e rígidas, para os casos abaixo. Utilize barras de aço CA 50. 4) Dimensionar sapatas flexíveis corridas, para os casos abaixo. Utilize barras de aço CA 50. Pilar (cm) σs (Kgf/cm²) Carga do Pilar Caso 1 20x50 2,00 500 kN Caso 2 35x35 1,50 80tf Caso 3 40x90 1,85 100 tf Caso 4 35x40 0,98 950 kN b0 (cm) σs (Kgf/cm²) Carga do Pilar Caso 1 20 1,50 30tf/m Caso 2 30 2,00 800kN/m Caso 3 40 2,50 98tf/m Caso 4 35 1,00 950 kN/m r0 (cm) σs (Kgf/cm²) Carga do Pilar Caso 1 20 1,00 50tf Caso 2 30 2,00 1800kN Caso 3 40 3,00 150tf Caso 4 35 4,00 1050 kN b0 (cm) σs (Kgf/cm²) Carga do Pilar fck (Mpa) Caso 1 20 1,50 50tf/m 15 Caso 2 40 2,00 400kN/m 20 Caso 3 60 2,50 89tf/m 25 Caso 4 70 3,00 1700kN/m 28
  • 2. 5) Dimensionar sapatas flexíveis retangulares, para os casos abaixo. Utilize barras de aço CA 50. 6) Dimensionar sapatas flexíveis circulares, para os casos abaixo. Utilize barras de aço CA 50. Pilar (cm) σs (Kgf/cm²) Carga do Pilar fck (Mpa) Caso 1 20x25 1,80 750 kN 20 Caso 2 45x20 2,00 90tf 25 Caso 3 65x30 2,20 150 tf 28 Caso 4 70x30 3,20 1500kN 30 2r0 (cm) σs (Kgf/cm²) Carga do Pilar fck (Mpa) Caso 1 45 1,50 55tf 20 Caso 2 55 2,50 2000kN 25 Caso 3 65 2,00 190tf 28 Caso 4 80 3,00 1070 kN 30