A normal-weight concrete rectangular beam has dimensions b = 285 mm by h = 634 mm with an effective depth of d = 614 mm and is reinforced with three - 25 mm diameter bars at the bottom of the cross-section. The concrete cylinder strength, f'c = 27.6MPa. The yield point of steel, fy = 414.7MPa. The beam carries a bending moment of 140 kN-m. Modulus of Elasticity of steel, Es = 200GPa. Solve for the following: 1. What is the gross moment of inertia of the section in mm4? 2. Compute the concrete compression stress at the top in MPa. 3. Compute the concrete tension stress at the bottom in MPa. 4. Compute the stress in steel in MPa.
A normal-weight concrete rectangular beam has dimensions b = 285 mm by h = 634 mm with an effective depth of d = 614 mm and is reinforced with three - 25 mm diameter bars at the bottom of the cross-section. The concrete cylinder strength, f'c = 27.6MPa. The yield point of steel, fy = 414.7MPa. The beam carries a bending moment of 140 kN-m. Modulus of Elasticity of steel, Es = 200GPa. Solve for the following: 1. What is the gross moment of inertia of the section in mm4? 2. Compute the concrete compression stress at the top in MPa. 3. Compute the concrete tension stress at the bottom in MPa. 4. Compute the stress in steel in MPa.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A normal-weight concrete rectangular beam has dimensions b = 285 mm by h = 634 mm with an effective depth of d = 614 mm and is reinforced with three - 25 mm diameter bars at the bottom of the cross-section. The concrete cylinder strength, f'c = 27.6MPa. The yield point of steel, fy = 414.7MPa. The beam carries a bending moment of 140 kN-m. Modulus of Elasticity of steel, Es = 200GPa.
Solve for the following:
1. What is the gross moment of inertia of the section in mm4?
2. Compute the concrete compression stress at the top in MPa.
3. Compute the concrete tension stress at the bottom in MPa.
4. Compute the stress in steel in MPa.
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