Question

structure design

Name 1Pag Question 1 (35 marks) Use the method of virtual work to determine the vertical displacement of joint C of the truss below The cross-sectional area of each member is A 300 mm2 and E- 200 GPa Note 1 GPa -1.0 x 10 kN/m 1 mm2-10 x 10-*m2 3 kN 2 m 2 m 1.5 m EA Set out wour computations as follows (a) Find the reactions at hinge support E and at roller support A b) Compute the compressive or tensile force in each member. Note: There are some members with zero force, identifying them will greatly simplify your computations. c) Remove the 3-kN force at joint D and rather apply-kN downward force at C. Again, analyze the force in each member (d) Use the table format below to set out your calculations for finding Ac n (kN) N (KN)

Answer 1

2 mm He 2 HA zero Force memeoFC CDFDE and FAE 1 KN FBp Fr, E ^ -png :-(스 ) FA-e zero force mcmbert BD ,AE IKN

considor 러trint C FcD 3 TC Fbe FCD Fep HE トも 2 membe n (N) L (m) MNL A-B. 2. 8 Si 3 2-S 2 Dt B D I. S 2 AEAE