Problem $4)$ Deflection of mon$-$symmetric beans

We are interested in the vertical stifficss feel at the steering wheel. We isolate the heam from the vehicle

and load the beam with a single vertical downward lond as shown to simulate this condition. The beam is

simply supported at each end and has the principle moment of inertia values as shown below. The load $P=$

$1000$ N and goes through the centroid as shown. What is the deflection $($magaitude and direction$)$ at the

point of load application?

$25$pts