Question

Part 7

To determine the normal and shear stresses on the indicated plane, we must first determine the orientation of the inclined plane relative to the x face of the stress element. Determine the magnitude of the clockwise angle θ between the x face and the inclined plane.

Assume S_x = 80 ksi, S_y = 10 ksi, and S_xy = 12 ksi.

S Sxy 3 S @ n

Part 8

For Mohr’s circle, all angular measures are doubled; therefore, point n (which represents the state of stress on the n plane) on Mohr’s circle is rotated 2 θ clockwise from point x. From the Mohr’s circle that you constructed on a piece of paper, determine the acute central angle β between point n and the principal stress σ p 2 .

Part 9

Use the center of the circle C, the circle radius R, and the angle β determined in Part 8 to compute:
(a) the normal stress σ n . Give the stress value including sign if any.
(b) the shear stress τ n ⁢ t . Give the stress value including sign if any

Part 10

Calculate the absolute maximum shear stress.

Answer 1

7 I Given] 3 Sx=80ksi Sy= loksi Sxy= 12ksi ta 2 Os tan' l) - 56.31 To find Normal stress (Sno) on inclined plane: By stress trains formation equation: Snot' Sxtsy + Sx-sy casza - Sxy sin (20) O is measured worriko tay. 80+lo 89-1 . Sno- cas (2456.31) - 12 sin ( 245 6.31) 2 2 Sno 20.46 ksi (And shear stress on inclined plane: Sx-s sin (20) + sxy cosso 30-40 sin (2X56-31) +12 Cos ( 2x56.31) 27.69 ksi Ans.). 2