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i need the answer quickly fast as you can Q3: Determine the vertical and horizontal displacement...

Q3: Determine the vertical and horizontal displacement of joint A for the truss shown in Fig. (3), cach bar is made of steel

i need the answer quickly fast as you can

Q3: Determine the vertical and horizontal displacement of joint A for the truss shown in Fig. (3), cach bar is made of steel and has the cross-sectional area of 400mm? Take E = 200 GPa. Use the method of virtual work. 25% E 2 m А. cool B 1.5 m -1.5 m 20 KN 40 KN
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Answer #1

We can use Method of Joints to solve the Member Forces FAE 53.13 2 Joint a Fy = 0 FAE sin = 40 40 2/2-5 FAE = 50 KN 6 FAB 2 Fiii) Joint E FDE E Efyo е 0 50 FAE FCE FBE FAE Sin 0 + FBE + Fee sine 50x ? + 20+ 2 2.5 FCE 2-5 FCE = 75kN I Fx = 0 FDE + Fcea undt load Now we have to remove all loads and place in downward direction at A. Them solue the bress. E 4 A B I unit FAE ;)17 Joint B PRE O Efy = fee =0 FAR B FBC FAB = fee fBc -0.75 in Joint E E FDE e e IFy zo FAE Sin e + fee + fee shimo FAE FBE EAs per Virtual Work Method, Equation for de flection in buss is F fi Li Δε Σ A; E , where F ial Membor Force clue to actualMember Length (min) Fi (KN) fi FIL AE AB 1500 -30 -0-75 0.421875 Bc 1500 - 30 -0.75 0.421875 AE 2500 50 1.25 1.953125 BE 2000Now we have to find the horizontal de flection at A. We have do lemone all loads and place a unot horizontal load at E A as g11 Joint B IBE ΣFs SBE B FAB foc 2 Fx = 0 far = fgc fec 111) Joint E E toe ΣF : fee Sino+ FAE Sino+ fre fie g AE=0 fee fresc© Member Length (mm) Li Fi fi Fi fi Li AE AB 1500 -30 -0.5625 Вс 1500 - 30 -0.5625 AE 2500 50 0 BE 2000 20 0 CE 2500 -75 DE 1

The given truss is solved using method of joints and the Displacement of joint A is found using Virtual Work Method.

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