Learning Goal:

A beam with length $L=2\mathrm{.}5m$ 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 $w_1=1\mathrm{.}2k\frac{N}{m}$

and $w_2=1\mathrm{.}6k\frac{N}{m}.$ The angle between the cable and

the beam is $=40.$ Determine the normal force, shear

force, and bending moment acting at point $B,$ located $x$

$=0\mathrm{.}9m$ to the left of the end of the beam.

igure

What is the horizontal reaction force at A

$?$ Assume the forces acts in the direction shown, and use an appropriate sign. Ay$=$

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. NB$=$

What is the internal shear force at point B

$?$ Assume the force acts as shown, and use the appropriate sign for your answer. VB$=$

What is the internal bending moment at B

$?$ Assume the moment acts as shown, and use the appropriate sign for your answer. MB$=$