Problem $1($Beam Analysis$)($Due: $11$ am on Sept $6,2024)$

Fig. P$1($a$)$ shows the schematic diagram of a truck as per AASHTO design code. Take the distance

marked Varies as $30$ feet.

Now consider that the truck is moving $($forward as shown in Fig. P$1($a$))$ from D to A on a bridge that

is modeled as a beam shown in Fig. P$1($b$)$ with a skew support at D$,$ a pin support at $A,$ an internal

hinge at $B,$ and a roller at $C.$ Assume that the axle loads are applied as static loading on the beam $($no

dynamic effects$).$ Take $=10.$

Solve this problem using SI units. Compute and plot the magnitude of the reaction at D $,$ reactions at

$A,$ and the vertical reaction at $C$ as a function of the distance of the front axle of the truck with respect

to D$.$ Use the Load Cases feature in the GS$-$USA Program to solve this problem using a single model.