The pipe shown below is loaded with a pipe wrench by a hand force of F= 200 N. The pipe has an inside diameter of d; = 40 mm and an outside diameter of do = 2r, = 44 mm. Given dimensions are a = 100 mm and b = 500 mm. The stress element A is located on the top surface of the pipe at coordinates x = 0, y = 0 and z=ro. Assume that the material of the pipe is given as AISI 1010 HR steel. a) Find all the stresses acting on this stress element A in x-y plane. Sketch this stress element with proper stress directions and labels. b) Find the 2 principal normal stresses using the appropriate equation. c) Take another principal stress as zero and order the 3 principal stresses such that ? 03. d) Then find the maximum shear stress Tmax- e) Use the Distortion Energy (DE) and Maximum Shear Stress (MSS) theories to solve for the factor of safety n at the stress element A. F pipe- wrench x AZ pipe (cylinder)