Question

Determine the horizontal displacement at A. Take E = 200 GPa. The moment of inertia of each segment of the frame is indicated in the figure. Assume D is a pin support. Use the method of virtual work. Prob. 8-44 60 kN/m B 1pc = 300(10%) mm 8 m AB= 200(106) mm IcD = 200(10%) mm 6 m

Answer 1

ELD of whole structive Go Knim - om 1, С ҮГ) bal Ay Dy EMO - 0 CAy X6 ) (4 xbox, x 2 x ) =o - ) Ay — 60 KN sfy Ayt by бох4 x со х ) by = 120kn Einzon D со

Consider a Cat beelion W=? 6o 1) 118 n 4 K Mad M un 9 W = loa 8 m I Mala 60 d-loxaxaxa + Wh 2 60 KN 20 M na Goa -lox3 6 virtual work method, apply unit horizontal load at 'A Ť c Emoso 8m & Ay 20 SMA 20 لے 6 m I KN Da 3) by zo Ay Dy Efn 20 Da=-1

cut section (virtual moment) 1 8 1 IKN P Ay zo EMO 20 Ay A - 1x8 ma = 25 mn - - 8 KN-m

befluhion at A ү0) Caha) А I dal 2) СІ. от м ANA т о 2) oh 8) Goa – lon3 Зоо О) ( 4Boy и sont — 2л 3CP (- - ке") қ) + Геох 2 24- 2 175 2) ач 3x 200° xavoxto (6 (2 ANA 0 - 0 3 ) ANA (-) 12 mm)

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