Consider the beam shown in $($Figure $1).EI$ is constant. Assume that $EI$ is in $kN*m^2.$ Suppose that $M=55kN*m.$ Use the moment$-$area theorems to solve this problem. Follow the sign convention.

The change in slope between any two points on the elastic curve equals the area under the $M)$

The vertical deviation of the tangent at a point $(A)$ on the elastic curve with respect to the tange between the two points $($ A and $B).$ This moment is calculated about point $A,$ where the deviatic

The vertical deviation of the fangent at a point $(A)$ on the elastic curve with respect to the tange between the two points $($ A and $B).$ This moment is calculated about point $B,$ where the deviati

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Part B

Determine the slope to the left of $B.$

Express your answer using three significant figures.

$$

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Part C

Determine the slope to the right of $B.$

Express your answer using three significant figures.

$({}_B{)}_R=$

$$

$\frac{1kN*m^2}{EI}$

$$

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Part D

Determine the displacement at $D.$

Express your answer using three significant figures.

${}_D=\frac{1kN*m^3}{EI}$