Problem 3.16. The normal stress in two mutually perpendicular directions are 600 N/mm² and 300 N/mm² both tensile. The complimentary shear stresses in these directions are of intensity 450 N/mm2. Find the normal and tangential stresses on the two planes which are equally inclined to the planes carrying the normal stresses mentioned above.

Determine the absolute maximum shear stress for each of the following plane stress states for which the principal stresses are given. (a) op1 = 2320 psi, op2 = -1590 psi, op3 = 0 (b) op1 = 47 MPa, Op2 = 27 MPa, Op3 = 0 %3D Answer: (a) Tabs max psi MPa (b) Tabs max

At a point in a stressed body, the known stresses are o, = 16 ksi (T), ơy 11 ksi (T), o, = 12 ksi (T), Ty 3 ksi, Tyz = -2 ksi, and t,r = 0. Determine (a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 38°, 64°, and 64.39° with the x, y, and z axes, respectively. (b) the principal stresses and the absolute maximum shear stress at the point. Determine the three orthogonal components of the resultant stress. Answers: Sx = ksi Sy = i ksi Sz = i ksi

Determine the absolute maximum shear stress for each of the following plane stress states for which the principal stresses are given. (a) Op1 = 2780 psi, Op2 = -2440 psi, op3 = 0 (b) op1 = 58 MPa, op2 = 35 MPa, Op3 = 0 Answer: (a) Tabs max= psi (b) Tabs max = MPa