Problem Statement: Analysis of a Single$-$Story, Single$-$Bay Frame.

Structure Description:

Consider a single$-$story, single$-$bay frame ABCD with the following properties:

Columns: $AB$ and $CD($height of each column $=4$ meters$)$

Beam: $BC($length of beam $=6$ meters$)$

Support Conditions:

Support A: Fixed

Support D: Fixed

Loads:

A point load of $25kN$ is applied at the midpoint of beam BC$.$

A horizontal point load of $15kN$ is applied at joint $B.$

Material and Cross$-$Section:

Modulus of Elasticity, $E=200$GPa

Moment of Inertia for Columns, $I_c=5000{10}^{6}m{m}^4$

Moment of Inertia for Beam, $I_b=8000{10}^{6}m{m}^4$

Task:

Determine the stiffness matrix of each member and generate the global stiffness matrix of the frame.