Learning Goal:

A beam with length LL $=3$ mm is supported by a pin joint at AA and a cable attached at CC as shown in $($Figure $1).$ It is subjected to the distributed load with w$1$w$1=1\mathrm{.}6$ kN$/$mkN$/$m and w$2$w$2=2\mathrm{.}4$ kN$/$mkN$/$m $.$ The angle between the cable and the beam is $=40.$ Determine the normal force, shear force, and bending moment acting at point BB$,$ located xx $=0\mathrm{.}9$ mm to the left of the end of the beam.

Figure

$3$ of $3$

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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TT $=$

$6\mathrm{.}22$kN

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Part B

What is the horizontal reaction force at AA$?$ 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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AxAx $=$

$3\mathrm{.}940$kN

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Incorrect; Try Again; $4$ attempts remaining

Part C

What is the vertical reaction force at AA$?$

Express your answer to three significant figures with appropriate units.

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AyAy $=$

nothingnothing

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Part D

Now calculate the internal loading at point BB using the free$-$body diagram of segment BCBC$,$ 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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NBNB $=$

nothingnothing

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Part E

What is the internal shear force at point BB$?$ 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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VBVB $=$

nothingnothing

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Part F

What is the internal bending moment at BB$?$ 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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MBMB $=$

nothingnothing