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 = 27 MPa and steel yield strength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars.    Determine the maximum steel ratio if the beam is singly reinforced in positive bending with the given material strengths and the tensile strain is limited to 0.005 upon crushing of concrete.  Write the answer in 5 decimal places only.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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 = 27 MPa and steel yield strength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars.    Determine the maximum steel ratio if the beam is singly reinforced in positive bending with the given material strengths and the tensile strain is limited to 0.005 upon crushing of concrete.  Write the answer in 5 decimal places only.

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