a. Compute the total stiffness matrix [K] of the assemblage shown in Figure P3–1 by supe...

a. Compute the total stiffness matrix [K] of the assemblage shown in Figure P3–1 by superimposing the stiffness matrices of the individual bars. Note that [K] should be in terms of Here A; E, and L are generic symbols used for cross-sectional area, modulus of elasticity, and length, respectively.

b. Now let If nodes 1 and 4 are fixed and a force P acts at node 3 in the positive x direction, find expressions for the displacement of nodes 2 and 3 in terms of A; E; L, and P.

c. Now let

i. Determine the numerical values of the displacements of nodes 2 and 3.

ii. Determine the numerical values of the reactions at nodes 1 and 4.

iii. Determine the stresses in elements 1–3.