Learning Goal:

A beam with length $L=2\mathrm{.}9m$ is supported by a

pin joint at A and a cable attached at $C$ as shown

in $($Figure $1).$ It is subjected to the distributed load

with $w_1=1\mathrm{.}7k\frac{N}{m}$ and $w_2=2\mathrm{.}1k\frac{N}{m}.$ The

angle between the cable and the beam is $=35.$

Determine the normal force, shear force, and

bending moment acting at point $B,$ located $x=0\mathrm{.}6$

$m$ to the left of the end of the beam.

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

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

Express your answer to three significant figures with appropriate units.

What is the vertical reaction force at $A?$

Express your answer to three significant figures with appropriate units.

Now calculate the internal loading at point $B$ using the free$-$body diagram of segment BC$,$ 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.

What is the internal shear force at point $B?$ Assume the force acts as shown, and use the appropriate sign for your

answer.

Express your answer to three significant figures with appropriate units.

What is the internal bending moment at B$?$ Assume the moment acts as shown, and use the appropriate sign for your

answer.

Express your answer to three significant figures with appropriate units.