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 cracking moment of the beam in kN-m? 2. What is the modular ratio? 3. What is the distance from the top fiber of the beam to the neutral axis in mm?
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 cracking moment of the beam in kN-m?
2. What is the modular ratio?
3. What is the distance from the top fiber of the beam to the neutral axis in mm?
4. What is the gross moment of inertia of the section in mm4?
5. Compute the concrete compression stress at the top in MPa.
6. Compute the concrete tension stress at the bottom in MPa.
7. Compute the stress in steel in MPa.
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