Question

SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a vertically downward force of 3 kN and a honzontal force of 5 kN as shown in Figure 1 Use the method of strffness matrix and analyse for the following (a) Displacement at node A (16) (b) Reaction at the supports (c) Member forces (15) EA 300 x 103 kN and is constant for all the members 3 m 2 3 m 6 3 KN 60° 45°

Answer 1

3m) au membo th con Sin 60 3 3 m sinus dlrechion L AE 015 |4243| AE 1270045 315 5 55 10030 6 156 3-469 -243 3 157003.65 3 3 uby4243 mwntm 0,(Ol@ 12.= k, ' -y.ee.ccse 스no 3 300x100 L33 0.5 3.464 4 243 32852. 345 k m)

1:306.1562g2. su45 2.852 345 5 003.615 |100306153-72a52 3,511,1 1 32852 35 19103 65) (alcadlahion of foices in on 4, 4) 05 0,(, sing) 300 x 10 0607 KN (c) 5 4254x10 6 Cos 1506 6666 X10 ini50 .1,64 3.806 kTenion 5.425% 10 3 243 32 1,09 kn) Com 2-409 2 105 (0515 6 00 R. +3.86 1R 103ke -0