A simply supported reinforced concrete beam carries a uniformly distributed load of 2 kN/m on a span of 4 m. The beam has a rectangular cross section 250 mm wide by 150 mm deep, with three 20 mm diameter steel bars placed 60 mm from the bottom of the beam, as shown below. The moduli of elasticity for the concrete and steel are 5 GPa and 200 GPa, respectively. Determine the average tensile stress in the steel and he maximum compressive stress in the concrete at the section of maximum bending moment. 450 mm 250 mm 60 mm

Elements Of Electromagnetics
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A simply supported reinforced concrete beam carries a uniformly distributed load of
12 kN/m on a span of 4 m. The beam has a rectangular cross section 250 mm wide by
450 mm deep, with three 20 mm diameter steel bars placed 60 mm from the bottom
of the beam, as shown below. The moduli of elasticity for the concrete and steel are
15 GPa and 200 GPa, respectively. Determine the average tensile stress in the steel and
the maximum compressive stress in the concrete at the section of maximum bending
moment.
450 mm
250 mm
60 mm
Transcribed Image Text:A simply supported reinforced concrete beam carries a uniformly distributed load of 12 kN/m on a span of 4 m. The beam has a rectangular cross section 250 mm wide by 450 mm deep, with three 20 mm diameter steel bars placed 60 mm from the bottom of the beam, as shown below. The moduli of elasticity for the concrete and steel are 15 GPa and 200 GPa, respectively. Determine the average tensile stress in the steel and the maximum compressive stress in the concrete at the section of maximum bending moment. 450 mm 250 mm 60 mm
Expert Solution
Step 1 Given

The uniformly distributed load is w=12 kN/m.

The length of the span is L=4 m.

Mechanical Engineering homework question answer, step 1, image 1

The modulus of elasticity of the concrete is Ec=15 GPa

The modulus of elasticity of the steel is Es=200 GPa.

The diameter of the steel bar is d=20 mm.

The width is b=250 mm.

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