Consider the beam shown in $($Eigure $1).$ Solve this problem using the conjugate$-$beam method. Take $E=200$GPa,$I=870({10}^6)m{m}^4.$

Select the correct theorems of the conjugate$-$beam method.

Check all that apply.

The displacement $v$ of a point in the real beam is numerically equal to the moment $M$

The displacement $v$ of a point in the real beam is numerically equal to the shear $V$ at

The slope $$ at a point in the real beam is numerically equal to the shear $V$ at the corr

The slope $$ at a point in the real beam is numerically equal to the moment $M$ at the

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Part B

Determine the slope at $B$ measured counterclockwise from the positive $x$ axis.

Express your answer using three significant figures.

$$

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Part C

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Determine the maximum displacement of the beam measured upward.

Express your answer to three significant figures and include the appropriate units.

${}_{\text{m}\text{a}\text{x}}=$

$$

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