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Q3: Determine the vertical and horizontal displacement of joint A for the truss shown in Fig....

Q3: Determine the vertical and horizontal displacement of joint A for the truss shown in Fig. (3), each bar is made of steel and has the cross-sectional area of 400mm?. Take E = 200 GPa. Use the method of virtual work.

E D 00. 2 m СІ Ao cocoa B 1.5 m 1.5 m 20 KN 40 kN Fig. (3)

E D 00. 2 m СІ Ao cocoa B 1.5 m 1.5 m 20 KN 40 kN Fig. (3)
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Answer #1

Given loading (N) E D Hot al |४ 2m A TL B and he Tuc Since there is only one member at support D, which is horizmtal (ED) , tJoint c Fy=0 → NEC sind + 60=0 -60 NEC NEC($) NEL 30 x 75 = -75 KM Too 60 Vertical Displacement (ni) Apply a withal unit Wad(12) A sinx=0 AE (2) A 2 OKN AE (N2) AB (12) BC = I KN (12) CE = 0 KN Member Length() NIKN) n, (kN) n2 (KN) N.NL n,NL D₂NL ABy principle of virtual work (IKN) * Avim) = 5 n NL KN-m AE OVA -3 7.386 x 10 m. 7.386 mm ( down) (1 km) x DHA m) E MNL KN-m

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