Problem $1(100$ pts$)$ A highway overpass is supported by a two$-$bay rigid frame. In order to perform preliminary design of the members and foundation, we want to perform an approximate analysis. The foundations are idealized as fixed. The dead weight from the bridge can be approximated as a uniform distributed load.

Part $1)$ List the assumptions you make in order to perform an approximate analysis of the frame. $(20pts)$

Part $2)$ Use the approximate analysis to determine the peak positive and negative moments for the beam. $(60pts)$

Part $3)$ Use the approximate analysis to find the reactions at the base of each column. $(20$ pts$)$