a. Compute the total stiffness matrix ½K of the assemblage shown in Figure P3–1 by superimposing the


a. Compute the aggregate inelegance matrix ½K of the assemblage shown in Figure P3–1 by superimposing the inelegance matrices of the individual bars. Note that ½K should be in stipulations of A1; A2; A3; E1; E2; E3; L1; L2, and L3. Here A; E, and L are general symbols used for cross-sectional area, modulus of elasticity, and tediousness, respectively.

b. Now let A1 = A2 = A3 = A; E1 = E2 = E3 = E, and L1 = L2 = L3 = L. If nodes 1 and 4 are urban and a fibre P acts at node 3 in the direct x tendency, meet expressions for the demolition of nodes 2 and 3 in stipulations of A; E; L, and P.

c. Now let A = 1 in2, E = 10 106 psi, L = 10 in., and P = 1000 lb.

i. Determine the numerical values of the demolitions 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.