Question

Determine the deflection using superposition please. thanks

Taille Determine the deflection at C due to the three loads shown. E=30x10psi I-7231n4 40 kips 30 kips 20 kips 11 B C D E F

Answer 1

40 kills 30 kilos 20 kibs 4 ft 4ft 44+ 6ft . 6ft Using method of superposition ! - consider 40 kip concentrated load at Bi- Using appendix . Vc = - Port (12-62-32) 6 LEI H=10 3+ where, Poyo kibs, L=18&t, b = 4 H+, EI = 30 x 103 x 723 269x kibrin Ve 40 x 4x 10 x(12)3 [182- 42-102] 6x18x2-169x107 Ve = -0.2454 in) → Consider 30 kib- concentrated load at 0:- using appendix Vez - Pbr [[²-6²-2²] GLEI

Where, P=30 kib , 2=18 at, b=6ft , = 8 it. EL = 2.169 X 107 kib-in2 : Vc = - 30 x 6 x8 x(12) 3 [ 182 - 6²-82] 6x18 2.169 X 107 ve = - 0-23794.in - Consider 20-kip concentrated load at F (From Appendi- Vc = - Mo GLEI ( 212 - 31 ~ +212) , L= 18 ft, delo Where - M = - 20x6 = -120 kib-t EI = 2.169 X 107 kib-in2 Vc = - 120 x 10 x123 6x 18 x -163x107 [2(18)2 - 3(18xlo) +102] [Ve= 0.18 412 in 1 - Net Beam deflection at Cla = -0,2454 -0.23794 +0.18412 Ve = -0-2992 in) Aumen