Part 3: When removing a wheel to change a flat tire, the driver applies a force of $P = 25$ lb to the ends of the arms of a lug wrench. All four arms have a length of 9" and a diameter of ½". The wrench is made of steel that has the same properties of "plain carbon steel" in SolidWorks.
1. Draw the state of stress at the surface of the steel, along Arm A of the wrench (the highlighted part). Calculate $\sigma_x$, $\sigma_y$, and $\tau_{xy}$. Report your answers in ksi.
2. Calculate the factor of safety on the highlighted part. Is the wrench likely to fail under this much load?
3. Calculate the torsional deflection of the center of the wrench, in degrees.
4. How much are the arms of the wrench deflected due to torsion? In other words, how far up is the right end of the wrench deflected, and how far down is the left end of the wrench deflected? Report your answer in inches with two significant figures.
$P = 25 lb$
$d = 0.5 in.$
$L = 9 in.$