# 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 A_{1}; A_{2}; A_{3};
E_{1}; E_{2}; E_{3}; L_{1}; L_{2}, and
L_{3}. Here A; E, and L are general symbols used for cross-sectional
area, modulus of elasticity, and tediousness, respectively.

b. Now let A_{1} = A_{2} = A_{3} =
A; E_{1} = E_{2} = E_{3} = E, and L_{1} = L_{2}
= L_{3} = 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 in^{2}, E = 10 10^{6} 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.