2. From the 2D Mohr's circle drawn in question 1, determine the values of the principal stresses and the maximum shear stress. Also, draw the stress elements in the principal orientation and in the max shear orientation. Be sure the stresses shown on the stress elements are labeled with correct magnitudes and directions.

The state of stress at a point on an element of material is shown. Let sigmaX= 49.0 ksi, sigmaY= 17.0 ksi, and Txy= 11.0 ksi. Use this information to represent the principle state of stress and maximum in plane shear stress. Plot the mohr circle and state sigmaX' and sigmaY' and Tx'y' with unit. Also draw the state of stress on the rotated element.

The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and 55 MN/m2 tension respectively. The shear stress across these planes is 25 MN/m2 (Counter clockwise). Determine the magnitude of the normal, tangential, the resultant stress, and inclination of resultant stress on a plane inclined at 25o to the plane of greater principal stress. And also verify the answer by drawing the Mohr’s circle.

For the loading shown on the L-shaped part, determine the state of stress at points a, b, and c. Write each state of 12 in. stress in the form of a tensor, observing the r-y-z coor- dinate system shown, and sketch the stresses acting on a differential element at each point. 12 kip 1.8 in. 6 in. 12 kip 0. in. 1.0 in. 1.0 in.

Problem 3: For the plane stress state listed below, draw a Mohr's circle diagram properly labeled. Keep in mind that the principal stress is that stress state where the shear stress is zero. That means it is the stress state along the normal stress line in Mohr's space. So, use your Mohr's circle to find the principal normal and shear stresses, and determine the angle from the x axis to o1. 0x = 16 kpsi, oy = 9 kpsi, Ty = 5 kpsi ccw

The state of plane stress at a point with respect to the xy-axes is shown in Fig. (a). Using Mohr's circle, determine (1) the principal stresses and principal planes; (2) the maximum in-plane shear stress; and (3) the equivalent state of stress with respect to the x'y'-axes. Show all results on sketches of properly oriented elements. y20 MPa 50° 40 MPa 16 MPa (a)

Pravinbhai

Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 16 MPa in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the stresses σn, σt, and the magnitude of τnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise).

1. Find the average normal stress. 2. Find the maximum in-plane shear stress.

The state of stress at a point in a soil beneath a level ground surface consists of a major principal stress of 70 kPa and a minor principal stress of 25 kPa. The major principal stress acts in the vertical direction. (a) Draw the Mohr's circle of stress and show the pole point (origin of planes). (b) Determine the maximum shear stress and calculate the orientation angle (relative to horizontal) of the plane of positive maximum shear stress. (c) Determine the normal stress and shear stress on a plane that makes an angle of -20° (i.e., 20° clockwise) relative to the horizontal plane.