Question: Problem 2 ( 2 5 pts ) A structural element is subjected to a uniform plane - stress state denoted by x , y ,

Problem 2(25 pts)
A structural element is subjected to a uniform plane-stress state denoted by x,y,xy in the x-y coordinates. Assume x=31MPa,y=-17MPa, and xy=7MPa.
(1) Please determine the normal and shear stresses acting on the plane whose outward normal, x'-axis, is oriented at an angle to x-axis (see the figure below).
Please find the planes that are free of normal stress and determine the shear stress on these planes.
(3) Please determine the principal stresses. Show them on a sketch of a properly oriented element
(4) Please determine the maximum shear stress and the associated normal stress. Show them on a sketch of a properly oriented element.
Problem 2 ( 2 5 pts ) A structural element is

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