Just solve $2$ please

Question $1($group$)$:

The simply supported beam shown in Figure $1$ has a rectangular cross$-$section. The

point force $F$ is $5\mathrm{.}5kN$ and the uniformly distributed load $w$ is $1\mathrm{.}8k\frac{N}{m}.$ The

distances $a,b,$ and $c$ along the length of the beam are $0\mathrm{.}4m,1\mathrm{.}1m,$ and $0\mathrm{.}4m,$

respectively.

$($a$)$ Calculate the maximum bending moment in the beam $($Hint: solve for the internal

bending moment at Point C$).$

$($b$)$ Create the bending moment diagram and note the location of the maximum

bending stress.

$($c$)$ If a compressive axial force of $15kN$ is applied at Point $D($and reacted at Point A$),$

calculate the combined stress $($in MPa $)$ at the top of the beam at Point $C.$

Then show your answers to the TA$.$

Question $2($individual$)$:

The steel member AB of a crane section is shown in Figure $2,$ and its length is $3\mathrm{.}25$

m$.$ Calculate the minimum $($i$.$e$.$ most negative$)$ combined stress in AB when a load of

$20\mathrm{.}9kN$ is applied at the mid$-$point of the beam $($assume the mass of the beam and

its deflection is neglected.

The cross$-$section of the beam has a base $($b$)$ of $100mm$ and a height $($h$)$ of $340mm.$

Enter your answer to three significant figures in MPa.

Your Answer: