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Problem 1: Find the displacement in the $y$-direction at the mid-span $C$ where load $P$ is applied to the beam. Find the slope at $A,B$, and $C$. Load $P=50kN$, length $L=1.5m$, the cross-sectional area has width $b=10cm$ and height $h=1cm$, and the material has an elastic modulus of $E=68GPa$.