Question

Find all the unknown nodal displacements in the bar use 2 elements. A=2 in^2, E=30× 10^6 psi

= 10x2 80 in.

Answer 1

Given that data as follows. rightarrow To find nodal displacements: - from the data A = 2 in^2 E = 30 times 10^6 psi from the Equation L_0 = L/4 K_1 = K_2 = K_3 = K_4 Stiffness matrices are same for all members Therefore K_1 = K_2 = K_3 = k_4 = EA/L_0 [1 -1 -1 1] = LE_A/L [1 -1 -1 1] \r\n Therefore the global matrix can be applies K = uEA/L [1 -1 0 0 -1 2 -1 0 0 -1 2 0 0 0 -1 -1 0 0 0 1] for calculating the load vector for all applied leads. f = [0 R_2 0 R_4 R_5] rightwardsdoublearrow Ku = f then rightwardsdoublearrow K = yEA/L = [1 -1 0 0 0 -1 2 -1 0 0 0 -1 2 -1 0 0 0 -1 2 -1 0 0 0 -1 1] [u_1 u_1 u_2 u_3 u_4 u_5] = [0 R_2 0 R_4 R_5] Applying boundary conditions, we get \r\n