The lower ends of the members of a 4 bar pined joint truss

Last updated: 3/10/2023

The lower ends of the members of a 4 bar pined joint truss shown in the figure below are fixed in the x y plane and a load is applied at the upper joint The x y z coordinates of the base points A B C D and the load point o are 8 0 0 0 10 0 8 0 0 0 5 0 and 0 20 20 respectively P x 3 A 2 2B The relative cross sectional areas of the members are A 1 2 A2 1 A3 A4 14 The bars have an axial stiffness ki A E The load P applied at point O causes a displacement at 0 d 0 v w i Write the equilibrium equations for the truss in terms of the displacements v and w ii Determine the loads in the truss members in terms of the load P and the modulus E y