Figure P4-21 shows a simply supported beam and the cross section at midspan. The

Question

Figure P4-21 shows a simply supported beam and the cross section at midspan. The beam supports a uniform service (unfactored) dead load consisting of its own weight plus 1.4 kips/ft and a uniform service (unfactored) live load of 1.5 kips/ft. The concrete strength is 3500 psi, and the yield strength of the reinforcement is 60,000 psi. The concrete is normal-weight concrete. Use load and strength-reduction factors from ACI Code Sections 9.2 and 9.3, For the midspan section shown in Fig. P4-1b, compute phi v Mn and show that it exceeds Mm. Calculate the dead load of the beam. Weight/ft = 24 times 12 by 144 times 0.15 = 0.3 kips/ft Compute the factored moment, Ma: Factored load/ft: wa = 1.2(0.30 + 1.40) + 1.6(1.50) = 4.44 k/ft Ma = wa2/8 = 4.44 times 202/8 = 222 kip-ft

Explanation / Answer

you have calculated correctly,

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