A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f’c = 21 MPa and steel yield strength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars. 1. Determine the tensile steel ratio for positive bending. 2. Determine the depth of the uniform rectangular stress block on the beam section at ultimate stage when subject to positive bending. 3. Determine the design moment capacity in kN•m of the beam in positive bending.
A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f’c = 21 MPa and steel yield strength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars. 1. Determine the tensile steel ratio for positive bending. 2. Determine the depth of the uniform rectangular stress block on the beam section at ultimate stage when subject to positive bending. 3. Determine the design moment capacity in kN•m of the beam in positive bending.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f’c = 21 MPa and steel yield strength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars.
1. Determine the tensile steel ratio for positive bending.
2. Determine the depth of the uniform rectangular stress block on the beam section at ultimate stage when subject to positive bending.
3. Determine the design moment capacity in kN•m of the beam in positive bending.
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