Name:

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

Date:

$3.$ You have somehow still not learned your lesson and so instead of padlocking your doors shut you leave your bedroom door wide open. This morning, after sleepwalking the entire night, you wake up in the middle of a welding workshop, and since you slept in you have delayed the welders on one of their jobs, so they demand you help them determine the stresses in one of their welds before you go back home. They hand you a rectangular plate with dimensions $3\mathrm{.}0$ in $5\mathrm{.}0$ in that was formed by welding two triangular plates together $($see figure$).$ The plate is subjected to a tensile stress of $500$ psi in the long direction and a compressive stress of $350$ psi in the short direction. They ask you to determine the normal stress ${}_w$ acting perpendicular to the line of the weld and the shear stress ${}_w$ acting parallel to the weld. If you assume that the normal stress ${}_w$ is positive when it acts in tension against the weld and the shear stress ${}_w$ is positive when it acts counterclockwise against the weld what are the values of ${}_w$ and ${}_w?$

${}_w=$ psi

${}_w=$

psi