Question $1$

$0\mathrm{.}5$ pts

The simply supported beam is pin supported at point A and roller supported at point C and subjected to the point load shown. If the moment of inertia of the cross sectional area of the beam is $400$ in ${?}^4$ and the Modulus of Elasticity of the beam is $10,000$ ksi:

Find the linear moment function in the segment $AB$ in $k-$ft using the "usual" CE sign convention for bending moment. The moment function will be of the form $M=Ax+$ B$.$ Use a coordinate system such that $x=0$ at point A and $x=8$ at point B $.$

What is the coefficient A$?$

Question $2$

$0\mathrm{.}5$ pts

What is the coefficient B$?$

Question $3$

$1\mathrm{.}5$ pts

Using the principle of Virtual Work, find the magnitude of the vertical deflection of point $B$ due to the load in inches. You may take advantage of the symmetry of the loading to aid in your calculations.

Question $4$

$0\mathrm{.}5$ pts

Does point $B$ move up or down?

Down

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