Question

Q1) In the following Beam-column W12x96 should be checked for adequacy. Assume amplified moment factor from P-A are :B1-1.2 and B2-o (Use LRFD Method) F-9 Kips DL, 16.5 kips LL q-2 k/ft DL, 3.12k/ft L ← P25kips DL, 203.7 kips LL 8 8'

Answer 1

Moment due to dead load=9*16/4+2*16²/8=100 kip-ft

Moment due to live load=16.5*16/4+3.12*16²/8=165.84 kip-ft

Factored moment=1.2*100+1.6*165.84=385.34 kip-ft

Factored moment due to p delta=1.2*385.34=462.4 kip-ft

Factored axial load=1.2*25+1.6*203.7=356 kips

Compression xaoacity f w12x96 for effective length of16 ft=957 kips

Beding capacity of beam for Unbraced length of 16 ft=551-(551-344)/(46.7-10.9)*(16-10.9)=521.5 kip-ft

Interaction check

356/957+(8/9)(462.4/521.5)=1.16>1

Section in inadequate