Name:

CCE $203-$ HW $7\mathrm{.}1-7\mathrm{.}3$

Date:

$2.$ You decided to take a nap in class, and somehow you keep forgetting you suffer from sleepwalking because when you wake up you are hanging upside down staring at the side of a web of a wide$-$flange beam. Like this morning you decide that you have nothing better to do with your time and calculate the stresses acting on a rotated stress element that's at a counterclockwise angle of $38$ from the horizontal. If the wide$-$flange beam is found to be $14,500$ psi in compression in the horizontal direction, $2530$ psi in compression in the vertical direction, with shear stresses with a magnitude of $3500$ psi acting in the directions shown in the figure, what are the new stresses acting on the rotated stress element? Make a drawing of these stresses on a stress element oriented at the counterclockwise angle of rotation of $38$ from the horizontal.