The state of stress at a point with respect to a Ox₁x₂x3 coordinate system is given by 10.1= 3 2 31 0 20 -21 What are the stress components with respect to axes Oxxx, which are obtained from the first by a 45° rotation (positive counterclockwise) about the x3 axis

A differential element on the bracket is subjected to plane strain that has the following components: , strain at x = 250 x 10-6, strain at y = 300 x 10-6,  strain at x y= -500 x 10-6. Use the strain-transformation equations and determine the normal strain strain x' in the x' direction on an element oriented at an angle of 35°. Note, a positive angle is counter clockwise.

Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If o = 122 MPa in the direction shown, identify the stress element that best depicts the principal stress state at the point. 45 MPa 35 MPa 50°