"Q1.19-.A rectangular beam has dimensions of 270 mm by 640 mm with an effective depth of 571 mm and is reinforced with 4- 28 mm ø. Concrete cover is 69 mm. The concrete cylinder strength f’c = 28.8 MPa and the tensile strength in bending is the modulus of rupture. The yield point of the steel is 416.3 MPa. The beam carries a bending moment of 57 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."

Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter9: Composite Construction
Section: Chapter Questions
Problem 9.1.3P
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"Q1.19-.A rectangular beam has dimensions of 270 mm by 640 mm with an effective depth of 571 mm and is reinforced with 4- 28 mm ø. Concrete cover is 69 mm. The concrete cylinder strength f’c = 28.8 MPa and the tensile strength in bending is the modulus of rupture. The yield point of the steel is 416.3 MPa. The beam carries a bending moment of 57 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."

width, b
effective depth, d
total depth, h
Transcribed Image Text:width, b effective depth, d total depth, h
"Q1.19-.A rectangular beam has dimensions of 270 mm by 640 mm with an effective depth of 571 mm and is reinforced with 4- 28
mm ø. Concrete cover is 69 mm. The concrete cylinder strength f'c = 28.8 MPa and the tensile strength in bending is the modulus of
rupture. The yield point of the steel is 416.3 MPa. The beam carries a bending moment of 57 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."
Transcribed Image Text:"Q1.19-.A rectangular beam has dimensions of 270 mm by 640 mm with an effective depth of 571 mm and is reinforced with 4- 28 mm ø. Concrete cover is 69 mm. The concrete cylinder strength f'c = 28.8 MPa and the tensile strength in bending is the modulus of rupture. The yield point of the steel is 416.3 MPa. The beam carries a bending moment of 57 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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