ASSIGNMENT $1$

Direction: Answer all questions. This is an individual assignment to submit before or on $q,$

Q$1.$ Figure Q$1$ is a steel truss ABC carries the nodal forces of $100kN$ at $A.$ The truss is supported as roller at $B,$ pin at $C$ and hung by a cable $AD.$ The truss members have the cross$-$sectional area, $A$ of $1125m{m}^2$ and modulus of elasticity, $E$ of $200k\frac{N}{m}{m}^2.$ While, the cable $($AD$)$ has the flexibility coefficient, $f$ of $0\mathrm{.}15m\frac{m}{k}N.$

Using the flexibility method, determine

$($a$)$ the displacements at $A,$

$($b$)$ internal force and extension in the cable, and

$($c$)$ internal force of truss members.