USING FORCE METHOD

Q$1$ Consider a structure and applied action shown in the figure below. The frame is subjected to a uniformly distributed load on CD$,$ a change in temperature in AB and support settlement at D$.$ Analyse the structure for all actions acting simultaneously and determine

The reactions at A and $D$

Bending moment and shear force diagram for the structure

Vertical displacement at $B$

Use the dimensions and load values below.

$\backslash$table$[[$Dimensions and section properties,$],[$L$,4,$unit: m$,],[$H$,3,$unit: m$,],[$E$,2025000,$unit: kN$/$m$^(2),],[$A$,0\mathrm{.}4938,$unit: m$^(2),],[$L$,0\mathrm{.}1,$unit: m$^(4),],[\backslash$alpha $\_($T$),0\mathrm{.}00001,$unit: $1/\backslash$deg C$,],[$t$,0\mathrm{.}35,$unit: m$,],[$Applied actions,$],[$w$,45,$unit: kN$/$m$,],[\backslash$Delta T$,8\mathrm{.}75,$unit: $\backslash$deg C$,],[\backslash$delta $\_($DY$),0\mathrm{.}01,$unit: m$,]]$