Problem $3$

a$)$ Compute by hand $k_{fu}$

$k_{},$ and $k_m$ for members a and $b$ using $E=29,000$ksi,$I=150i{n}^4,$ and $A=4i{n}^2.$ To help standardize the grading, orient all the members such that for any member with end joints indexed by i and $j,j>i.$

b$)$ Identify the free degrees of freedom and write the symbolic displacement matrix $\{u_f\}$

c$)$ Write the load matrix $\{P_f\}$

d$)$ Assemble the symbolic system stiffness matrix considering only free degrees of freedom $K_{ff}$

e$)$ Use MatLab to solve for the displacements and member end reactions.

f$)$ Use the member end reactions to verify the solution satisfies equilibrium.

g$)$ Use the member end reactions to construct the axial, shear and moment diagrams.

h$)$ Model the frame in Sap$2000$ and report the axial, moment and shear diagrams and the displacement of Nodes $2,3$ and $4.$ Please neglect self weight of the elements and shear deformation of the elements.

urgent solution required