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Consider the beam shown in $($Figure $1).\backslash ($ E I $\backslash )$ is constant. Suppose that

$\backslash ($ L$=5\mathrm{.}4\backslash$mathrm$\{$ft$\}\backslash ).$ Solve this problem using the moment$-$area theorems.

Select the correct formulations of the moment$-$area theorems.

Check all that apply.

The change in slope between any two points on the elastic curve equals a half the area under the $\backslash ($ M $/$ E I $\backslash )$ diagram between these two points.

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

The change in slope between any two points on the elastic curve equals the area under the $\backslash ($ M $/$ E I $\backslash )$ diagram between these two points.

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

Correct

Part B

Determine the slope at $\backslash ($ B $\backslash )$ measured counterclockwise from the positive $\backslash ($ x $\backslash )$ axis.

Express your answer using three significant figures.

Correct

Correct answer is shown. Your answer $-189\mathrm{.}54$ was either rounded differently or used a different number of significant figures than required for this part.

Part C

Determine the displacement at $\backslash ($ C $\backslash )$ measured upward.

Express your answer using three significant figures.

Figure

$\backslash (\backslash$Delta$\_\{$C$\}=\backslash )$

$\backslash [$

$\backslash$times $\backslash$frac$\{1\backslash$mathrm$\{$k$\}\backslash$cdot $\backslash$mathrm$\{$ft$\}^\{3\}\}\{$E I$\}$

$\backslash ]$