Question

Apologies for the random ink and text. There was a printing error.

6.8 Except for the spring, the members of the structure are Qgid. Use the principle of complementary virtual work to calculate the vertical displacement of point A. 201169.294 bodisM 90107 brus Ble CD—* BUTUO RAHD Exercise 6.8

Answer 1

Member forces AS CB BA in a line. Force in member (60=0). - other member forces. Reaction at o p : EVA=0 Force in members P= VBACOS 30 PX 2 = VBA (comp. VBC = 20 (comp NCD = P. Hension) s VBC= 2p (comp] VED=0 CHAO Voc cos 68 = VED VBA = 20 (comp) oxy, z Veb (tosin)

Apply use Virtual force on A. proportanility (As it is en unit load : KBc= 2 (comp). Keo I hension) Кер KBO IBA - e (comp). displacement @ A Force of Actud Load & Virtual load force x length els Areaux Young's modulus = PKL AE AE Members BC. ap (comp I (cong L vz I[fei L ey CO P (tong BD BA

Ę . stiffness - displacement 2px 2 x 2 + x 2 XL V3 AE 4PL +4PL + P BAE BAE 3K. SPL & P BAE 3K.