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Rectangular cross-section

9. You are analyzing a 12-foot-long concrete beam with a rectangular cross-section with the width at 2.5 feet and depth at 4.4 feet. A maximum moment of 1.3 × 106 foot pounds is applied to the beam due to a bending load acting at the mid-span of the beam.

a. What is the bending load to induce this moment?

b. Measuring from the top of the beam, where on the beam’s cross-section is the normal stress = 0, in feet?

c. What is the maximum tensile stress on the beam, in psi, and where on the beam’s cross-section does it occur?

d. Determine the normal stress on the beam’s cross-section 1.2 feet below the top of the beam.

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