A reinforced concrete T-beam (see figure) is acted on by a positive bending moment of M = 175 kip-ft. Steel reinforcement consists of four bars of 1.41-inch diameter. The modulus of elasticity for the concrete is E_c = 3000 ksi while that of the steel is E_s = 29,000 ksi. Let b = 48 in., t_f = 4 in., b_w =15 in., and d = 24 in.

(a) Find the maximum stresses in steel and concrete.

(b) If allowable stresses for concrete and steel are σ_ac = 1400 psi and σ_as = 18 ksi, respectively, what is the maximum permissible positive bending moment?

Transcribed Image Text:

(b-bw)/2- Neutral axis b 4 bars @ 1.41 in. b y d 4