Learning Goal:

A beam with length $\backslash ($ L$=3\backslash$mathrm$\{$~m$\}\backslash )$ is supported by a pin joint at $\backslash ($ A $\backslash )$ and a cable attached at $\backslash ($ C $\backslash )$ as shown in $($Figure $1).$ It is subjected to the distributed load with $\backslash ($ w$\_\{1\}=1\mathrm{.}5\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash )$ and $\backslash ($ w$\_\{2\}=2\mathrm{.}3\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash ).$ The angle between the cable and the beam is $\backslash (\backslash$theta$=25^\{\backslash$circ$\}\backslash ).$ Determine the normal force, shear force, and bending moment acting at point $\backslash ($ B $\backslash ),$ located $\backslash ($ x$=0\mathrm{.}6\backslash$mathrm$\{$~m$\}\backslash )$ to the left of the end of the beam.

Figure

Part A

Begin by finding the support reactions for the beam using the free$-$body diagram shown in $($Figure $2).$ What is the tension in the cable?

Express your answer to three significant figures with appropriate units.

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Part B

What is the horizontal reaction force at $\backslash ($ A $\backslash )?$ Assume the forces acts in the direction shown, and use an appropriate sign.

Express your answer to three significant figures with appropriate units.

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Part C

Part D Part C

What is the vertical reaction force at $\backslash ($ A $\backslash )?$

Express your answer to three significant figures with appropriate units.

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Part D

Now calculate the internal loading at point $\backslash ($ B $\backslash )$ using the free$-$body diagram of segment $\backslash ($ B C $\backslash ),$ shown in $($Figure $3).$ What is the internal normal force? Assume the force acts as shown, and use the appropriate sign for your answer. Express your answer to three significant figures with appropriate units.

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$\backslash [$

N$\_\{$B$\}=$

$\backslash ]$ Part E

What is the internal shear force at point $\backslash ($ B $\backslash )?$ Assume the force acts as shown, and use the appropriate sign for your answer. Express your answer to three significant figures with appropriate units.

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Part F

What is the internal bending moment at $\backslash ($ B $\backslash )?$ Assume the moment acts as shown, and use the appropriate sign for your answer. Express your answer to three significant figures with appropriate units.

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