Name

Noah lickard

$220$ points

$3\mathrm{.}8-11$ modified

A solid steel Bar is enclosed by an aluminum Tube. Both bar and tube are held rigidly by a support at one end and joined securely to a rigid plate at the other end. The composite bar is twisted by a torque, $T=1k-$in$,$ acting on the end plate.

a$.(100pts)$ Determine the maximum shear stress in the bar and tube.

b$.(30pts)$ Determine the angle of rotation of the end plate.

c$.(20$ pts $)$ Determine the torsional stiffness, $k_T,$ of the composite bar.

d$.(50$ pts $)$ Determine the allowable torque, $T,$ using the given allowable stresses.

e$.(20$ pts$)$ Determine the angle of rotation of the end plate with the torque of part d applied.

If you just memorize equations and write them down, you will get a zero. You must show me how you obtained the equations using equilibrium, compatibility and torque$-$rotation. Sketches are a must. Also, when you show me that one controls, you must also show me that the other cannot control.

$\backslash$table$[[$Input$],[$d $1($in$),0\mathrm{.}75,$Bar$]]$

$\backslash$table$[[$d $2($in$),1,$Tube$],[$d $3($in$),1\mathrm{.}5]]$

$\backslash$table$[[$ in