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A reinforced concrete beam is constructed with Grade 30 concrete which has a cross section of...

A reinforced concrete beam is constructed with Grade 30 concrete which has a cross section of 450 mm x 660 mm (b = 450 mm and D = 660 mm). The length of the beam is 5 m. The elastic modulus of the concrete is 32.8 GPa. A uniformly distributed live load of 23 kN/m is acting on the beam. Determine (a) the design bending moment on this beam for strength limit state, (b) modular ratio assuming Es = 200 GPa, (c) cracking bending moment and (d) required reinforcement (D495N steel) to have a balanced failure mode considering d = 550 mm.

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