For the following computer problem, any appropriate software may be used. Input prompts sh...

For the following computer problem, any appropriate software may be used. Input prompts should fully explain what is required of the user (the program should be user-friendly). The resulting output should be well labeled and self-explanatory.

Write a program that will allow a user to solve for the principal stresses, the orientation of the principal planes, and the maximum shear stress in a stressed element. Input will be the normal stresses and the associated shear stresses. Data from Problem 1 or Problem 2 may be used to test the program.

Problem 1

The bending and shear stresses developed at a point in a machine part are shown acting on infinitesimal elements. For each element, calculate

(a) the principal stresses and the orientation of the principal planes

(b) the maximum shear stress

Problem 2

Stresses developed at a point in a machine part are shown acting on infinitesimal elements. For each element, calculate

(a) the normal and shear stress intensities on a plane, the normal of which is inclined at an angle of 60° counterclockwise from the X–X axis

(b) the principal stresses and the orientation of the principal planes

(c) the maximum shear stress