Question

P10.047 (Multistep) The simply supported beam shown in the figure consists of a W410 x 60 structural steel wide-flange shape [E = 200 GPa; I = 216 x 100 mm"]. For the loading shown, determine the beam deflection at point B. Assume P = 88 kN, w = 94 kN/m, M = 162 kNm, and d= 1.5 m. .PL IIIIIIIIIIIII

Answer 1

7 88 162 KN-m HA B esdobonge 1.5mix 1.5m x 1.5m man 94 kN/m 7 d=1.5m u Moment about A, EMA=0 | Cve; Dive] (R226)+162 = [9483+(:+3)] +(88415) [RE = 206.5 kn zv=o[*] RAF Re = 88+(94*3) RA = 163.5 KN

moment @ Section X -X M₂ = (R+x)-[94*3* (1-1.5) = 206.5 x - 282 x+423 Mx = 423-75.50. I From Bending equation. + SME + G > Slope equation slope JEL M I عد + Cat - deflection equation Dj Ma = 15 (423-75.54) Y = [4:23 - 755 * +4,2+cz Is, x=0, y=0 :- o= [o-o tot C₂=0

If x=6m, y=0 :- 0 - (:23. 002 – 25.900*] + C,(0+0 c=②816. Deflection @ B, ie, x=4.5m. E24 (438(4:53 - 15.5 (4.5%)+(-816 24.6] +0 48- 535.78/ET 94 kalon o ism Bi.smc 1.sm D 1.5m 2 1.5m BE EMA=0 RE#6 = 94*3*4.5 [RE = 70.5KNT IV=O RAT RB = 94*3=282 KN RA2 211.5KNJ

Moment @x, Maa My = (Re* a) – 94*3* (4–1,5)) = 70.5 - 2822 +423 My z 24.5 x +423 deflection @ a 4 + c 1 + С 1423-211.5x) + Cinta 1 El Y= 423 – 20:05 *] + Ci4+cz deflection @ B, ie, n=4.5. YgZ? 2=0, y=0 => C2=0 126, yao → 0,20 @ 124.5 YB = 1070.71/ER