Josephood7

Two steel rods are welded together (see figure); the seam is oriented at angle θ = 50°. The stresses on the rotated element are σ_x1 = 70 MPa, σ_y1 = -83 MPa, and τ_x1y1 = -35 MPa. Find the state of plane stress on the element if it is rotated clockwise to align the _x1 axis with the longitudinal axis of the rods.

A shear wall in a reinforced concrete building is subjected to a vertical uniform load of intensity q and a horizontal force H, as shown in the first part of the figure. (The force H represents the effects of wind and earthquake loads.) As a consequence of these loads, the stresses at point A on the surface of the wall have the values shown in the second part of the figure (compressive stress equal to 8 MPa and shear stress equal to 3 MPa).

(a) Determine the principal stresses and show them on a sketch of a properly oriented element.

(b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element.

The stresses acting on a stress element on the arm of a power excavator are ?x = 52 MPa and ?xy = 33 MPa. What
is the allowable range of values for the stress ?y if the maximum shear stress is limited to ?0 = 37 MPa?

An element in plane stress is subjected to stresses σx=-25.5 MPa, σy=6.5 MPa, and Ƭxy=-12 MPa. Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element.