Problem $1(25$ pts$)-$ A Bridge Analysis Problem $-$ analyze the shown

bridge $($see the attached figure$)$ under service dead load $($the girder self$-$weight$)$ of $1\mathrm{.}2$

kip$\frac{s}{f}t$ and a concentrated live load of $75\mathrm{.}0$ kips placed at the middle of the bridge. Use

the given material properties for concrete and the idealized member and node number.

Determine the axial forces in the strut members of the bridge. $($ii$)$ Draw the shear and

moment diagrams in the bridge girder. $($iii$)$ The vertical displacement at mid$-$span of

bridge and the horizontal displacement at the rocker in the bridge. Ignore the self$-$weight

of the struts as well as contributions of shear deformations in the bridge girder.

Use the force method for half of the bridge