Question

A simply supported inverted T-beam has a clear span ln = 32 ft and is subjected to its own weight and the point loads P as shown. The point load P consists of a service dead load of 16 kips and a service live load of 28kips. Design #3 vertical stirrups for the beam (ignore any torsional effects). Assume d = 41.5 in., ƒc’ = 4,000 psi, and ƒy = 60,000 psi.

1. A simply supported inverted T-beam has a clear span l, = 32 ft and is subjected to its own weight and the point loads P as shown. The point load P consists of a service dead load of 16 kips and a service live load of 28kips. Design #3 vertical stirrups for the beam (ignore any torsional effects). Assume d = 41.5 in., fo' = 4,000 psi, and fy = 60,000 psi. 20 in 2P 2P 2P 2P Wo 32 in PI 4.0', 8.0 8.0 8.0' 10 in 32' 36 in

Answer 1

Given Daten Length (L) = 32 Po = 16 kips, RL=28 kips wo own weight concrete unit weight (re) = 1501b/ft3 Assume A = 36X10 + 20*32 32u Area = 1000 in2 = 6.944 ft2 C 361 #3. Stimups. C Area =011 in2) WD = rc&A = 150 x6.944 a 1041.67 Lb/ft = 1.042 Kipl.Il- wu= 1.2 WD = 1.2 * 1.042 1.25 Kiplft Pu= 1.2 PD + 1.6 PL = 1.2016 + 1.6*28 a Gle kips. Giren Beam? 2X64 2x64 2x64 2764 wu= 1.25 kilft it into wa 195 kilot 329 ?

Given Beam has Load symmetry RA= RB => RAZRB = RA = 276 kips Maximum Shear a le On beam (v2= 276 kips Vu < $ vc tous Que = 0 effe bod 0.75% 2*14000x 2041.5 2 78740 F Ub buc = 78. Tu kips Assume 2 legged stirips : Spacing (92 = Avryd Vu-cove 0.75* 2x0.11 x 60 x 411.5 276 - 78.74 2.082" & provide #3 Strumps at 2" spacing Thank you....