Consider the beam shown in $($Figure $1).$ Take $E=200$GPa,$I=550({10}^6)m{m}^4.$ Suppose that $P=48kN.$ Use the moment$-$area theorems.

determined.

The change in slope between any two points on the elastic curve equals a half the area under the $\frac{M}{E}$I diagram between these two points.

The change in slope between any two points on the elastic curve equals the area under the $\frac{M}{E}$I diagram between these two points.

The vertical deviation of the tangent at a point $(A)$ on the elastic curve with respect to the tangent extended from another point $(B)$ equals the "moment" of the area under the $\frac{M}{E}$I diagram between the two points $($ A and $B).$ This moment is calculated about point $B,$ where the deviation $t_{\frac{B}{A}}$ is to be determined.

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Correct

Here we learn the moment$-$area theorems that can be used to determine the angles and deviations between two tangents on the beam's elastic curve.

Part B

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

Express your answer in radians to three significant figures.

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${}_B=-8\mathrm{.}73{10}^{-4}$rad

Sumition

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Correct

Here we learn how to determine the slope at $B$ using the moment$-$area theorems.

Part c

Determine the maximum displacement of the beam measured upward.

Express your answer to three significant figures and include the appropriate units. Enter positive value if the displacement is upward and negative value if the displacement is downward.

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Figure

$1$ of $1$

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