A rectangular beam has dimensions of 300 mm by 650 mm with an effective depth of 590 mm and is reinforced with 5- 28 mm ø. Concrete cover is 60 mm. The concrete cylinder strength f’c = 28.3 MPa and the tensile strength in bending is the modulus of rupture. The yield point of the steel is 440.1 MPa. The beam carries a bending moment of 62 kN-m. Use transformed section method to answer the following: (1) Compute the concrete compression stress at the top, (2) Compute the concrete tension stress at the bottom, (3) Compute the stress in the steel. (4) Assess the adequacy of the beam design.
A rectangular beam has dimensions of 300 mm by 650 mm with an effective depth of 590 mm and is reinforced with 5- 28 mm ø. Concrete cover is 60 mm. The concrete cylinder strength f’c = 28.3 MPa and the tensile strength in bending is the modulus of rupture. The yield point of the steel is 440.1 MPa. The beam carries a bending moment of 62 kN-m. Use transformed section method to answer the following: (1) Compute the concrete compression stress at the top, (2) Compute the concrete tension stress at the bottom, (3) Compute the stress in the steel. (4) Assess the adequacy of the beam design.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A rectangular beam has dimensions of 300 mm by 650 mm with an effective depth of 590 mm and is reinforced with 5- 28 mm ø. Concrete cover is 60 mm. The concrete cylinder strength f’c = 28.3 MPa and the tensile strength in bending is the modulus of rupture. The yield point of the steel is 440.1 MPa. The beam carries a bending moment of 62 kN-m. Use transformed section method to answer the following: (1) Compute the concrete compression stress at the top, (2) Compute the concrete tension stress at the bottom, (3) Compute the stress in the steel. (4) Assess the adequacy of the beam design.
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