An element is found in a stress condition as shown in figure. Then Calculate: Principal stresses and its orientation. Maximum shear stress, its orientation and corresponding normal stress. Normal strains in each direction.

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.

The state of strain at the point has components of € = 300 (10-6), y = -260 (10-6), and Yay = 460 (10–6). Figure

An element in plane stress is subjected to stresses σ_x, σ_y, and τ_xy (see figure). Using Mohr’s circle, determine the stresses acting on an element oriented at an angle θ from the x axis. Show these stresses on a sketch of an element oriented at the angle θ. (Note: The angle θ is positive when counterclockwise and negative when clockwise.) Given: σ_x=33 MPa,σ_y=-9 MPa,τ_xy=29 MPa,θ=35°