(Solved): 1. a. Determine the equivalent state of stress on an element at the same point oriented 35 cl ...

1. a. Determine the equivalent state of stress on an element at the same point oriented $-35^{\circ }$ clockwise with respect to the element shown. Sketch the results on the rotated element. b. Determine the state of stress that represents the principal stresses, the angle of orientation, and sketch the results on the updated rotated element. Check which angle lines up with which principal stress by substituting each angle into ${\sigma }^{\prime }$. c. Determine the state of stress that represents the maximum in plane shear stress and associated average normal stress, the angle of orientation, and sketch the results on the updated rotated element. Check which angle lines up with which maximum shear stress by substituting each angle into ${\tau }_x{x}^{\prime }{y}^{\prime }$. d. Sketch Mohr's circle for the above, showing the center coordinate of the circle, the radius value, reference point of the given state of stress, the max shear and principal stresses, and the angles to the maximums from the reference point..