Problem #$2.(20$ points$).$ For Problem #$1,$ determine:

$(10$ points$).$ The Maximum Bending Moment $(M_{\text{m}\text{a}\text{x}})$ and calculate the Maximum Bending Stress $({}_{\text{m}\text{a}\text{x}})$ for $c=$

$2\mathrm{.}5$ ft and $I=2\mathrm{.}45E-3i{n}^4.$

$(10$ points$).$ If the allowable bending stress is $2500$ ksi $,$ is the beam expected hold? If yes, what would be the

factor of safety?

Use the bending stress formula:

Where:

$=\frac{Mc}{\text{I}}$

$M$:$=$ is the Bending Moment.

$c$:$=$ is the distance from the neutral axis to the

$(10$ points$).$ Draw a free$-$body diagram $($FBD$)$ of the cantilevered beam, showing the applied loads and reaction

forces at the fixed support. Find the reactions force and moment at the wall $($point $A).$

$(20$ points$).$ Let the beam have a length $L=6$ feet with applied concentrated load $P=300lbf$ and

distributed load $w=200lb\frac{f}{f}t,$ draw the internal shear force $V$ and Moment $M$ as a function of $x.$ Use the

method of sections $($make a cut at a distance $x$ from the fixed support at the wall$)$ and draw the shear force $V(x)$

along the length of the beam, from $x=0$ to $x=L.$ Use blue lines below for drawing $V(x)$ diagram.

$(10$ points$).$ Draw the bending moment $M(x)$ along the beam, from $x=0$ to $x=L.$ Again, use blue lines to

draw $M(x)$ diagram.

Problem #$2.(20$ points$).$ For Problem #$1,$ determine:

$(10$ points$).$ The Maximum Bending Moment $(M_{\text{m}\text{a}\text{x}})$ and calculate the Maximum Bending Stress $({}_{\text{m}\text{a}\text{x}})$ for $c=$

$2\mathrm{.}5$ ft and $I=2\mathrm{.}45E-3i{n}^4.$

$(10$ points$).$ If the allowable bending stress is $2500$ ksi $,$ is the beam expected hold? If yes, what would be the

factor of safety?

Use the bending stress formula:

Where:

$=\frac{Mc}{\text{I}}$

$M$:$=$ is the Bending Moment.

$c$:$=$ is the distance from the neutral axis to the farthest point on the cross$-$section.

I:$=$ is the Moment of Inertia of Area.farthest

point on the cross$-$section.

I:$=$ is the Moment of Inertia of Area.