A normal-weight concrete rectangular beam has dimensions b by h with an effective depth of d 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 M kN-m. Modulus of Elasticity of steel, Es = 200GPa. Where: b = 281 mm h = 582 mm d = 562 mm M = 124 kN.m Determine 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.
A normal-weight concrete rectangular beam has dimensions b by h with an effective depth of d 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 M kN-m. Modulus of Elasticity of steel, Es = 200GPa.
Where:
b = 281 mm
h = 582 mm
d = 562 mm
M = 124 kN.m
Determine 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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