Figure $3.$ Beam assembly

$($a$)$ Draw the shear and bending moment diagrams between A and D$.$

$($b$)$ If shear stresses in the pins cannot exceed tau$\_("$yield$,")$ find the minimum diameters of pins at B

and C$.$ Use a factor of safety FS$.$

$($c$)$ Find the maximum bending stress in the member E$-$F and draw the corresponding strain

and stress distributions at the cross section where the maximum bending stress occurs,

assuming the member has the cross$-$section shown in $($i$).$

$($d$)$ Repeat part $($c$)$ but assuming the member has the cross$-$section shown in $($ii$).$

Take E $=200$ GPa for all beam members and q $=8$ kN$/$m$.$

Take LEF$=1\mathrm{.}9$ m$,$ LCE$=2$ m and d $=1\mathrm{.}7$ m$.$

Take yield$=40$ MPa and FS $=2\mathrm{.}5$ and a $=1\mathrm{.}4$ cm$.$

Question $313$ pts

Find the maximum value of the shear diagram. $($answer in kN$)$

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Flag question: Question $32$

Question $323$ pts

Find the minimum value of the shear diagram. $($answer in kN$)$

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Flag question: Question $33$

Question $333$ pts

Find the maximum value of the moment diagram. $($answer in kN$*$m$)$

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Flag question: Question $34$

Question $343$ pts

Find the minimum value of the moment diagram. $($answer in kN$*$m$)$

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Flag question: Question $35$

Question $352$ pts

Find the shape of the moment diagram for region $1.$

Group of answer choices

Zero

Constant

Linear, Positive Slope

Linear, Negative Slope

Quadratic, Concave up

Quadratic, Concave down

Cubic

None of the Above

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Flag question: Question $36$

Question $362$ pts

$$Find the shape of the moment diagram for region $2.$

Group of answer choices

Zero

Constant

Linear, Positive Slope

Linear, Negative Slope

Quadratic, Concave up

Quadratic, Concave down

Cubic

None of the above

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Flag question: Question $37$

Question $373\mathrm{.}5$ pts

Find the minimum diameter of Pin B$.($answer in mm$)$

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Flag question: Question $38$

Question $383\mathrm{.}5$ pts

Find the minimum diameter of Pin C$.($answer in mm$)$

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Flag question: Question $39$

Question $393\mathrm{.}5$ pts

Find the maximum bending stress in EF assuming cross$-$section $($i$)($answer in MPa$)$

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Flag question: Question $40$

Question $403\mathrm{.}5$ pts

Find the maximum bending stress in EF assuming cross$-$section $($ii$).($answer in MPa$)$

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Flag question: Spacer

Include a drawing of the strain and stress distributions for the two previous questions.$$

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Flag question: Question $41$

Question $4115$ pts

Upload your work in a single pdf file. Please remember to add all the required graphs included in Problems $1$ through $3.$