A rectangular reinforced concrete beam has a width of 300 mm and an effective depth of 700 mm. It is subjected to a nominal moment of 550 kN-m. If fc = 28 MPa, fy = 280 MPa, and Es = 200 GPa. a. Determine the balance steel ratio in percent; b. Solve for the depth of the equivalent rectangular stress block; c. Check whether the beam is tension-controlled, compression-controlled, or within the transition region and determine the value of the strength reduction factor, ; d.Solve for the ultimate moment capacity of the beam.
A rectangular reinforced concrete beam has a width of 300 mm and an effective depth of 700 mm. It is subjected to a nominal moment of 550 kN-m. If fc = 28 MPa, fy = 280 MPa, and Es = 200 GPa. a. Determine the balance steel ratio in percent; b. Solve for the depth of the equivalent rectangular stress block; c. Check whether the beam is tension-controlled, compression-controlled, or within the transition region and determine the value of the strength reduction factor, ; d.Solve for the ultimate moment capacity of the beam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A rectangular reinforced concrete beam has a width of 300 mm and an effective depth of 700 mm. It is subjected
to a nominal moment of 550 kN-m. If fc = 28 MPa, fy = 280 MPa, and Es = 200 GPa.
a. Determine the balance steel ratio in percent;
b. Solve for the depth of the equivalent rectangular stress block;
c. Check whether the beam is tension-controlled, compression-controlled, or within the transition region and
determine the value of the strength reduction factor, ;
d.Solve for the ultimate moment capacity of the beam.
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