Refer to the lug nut wrench below for the following question

Refer to the lug nut wrench below for the following questions. The load at the end of the wrench (at 10 inches) is 100 pounds. The wrench is a 0.50m diameter solid steel bar. Stress element \'A\' is at the top of the wrench near socket. Ignore stress concentration. Calculate the initial stresses at element \'A\'. Draw the initial stress element, labeled with the calculated stresses from part 1. Draw a Mohr\'s circle for this stress element and use it to calculate the Maximum Principal, Minimum Principal, and Maximum Shear stress at \'A\'. Label these points on your Mohr\'s circle. (You do not need to calculate the angle phi.)

Solution

First we have to find the Polar moment of inertia which is J=pi*R⁴/2. Then the shear stess to be calculateted as T_{max= (pi/16)*tmax*D^3..} As we know the maximum force and the length we can find the Tmax . Thus tmax which is shearing stress can be derived.