1. (Book Problem) A round steel bar having S = 800 MPa is subjected to loads producing y calculated stresses o Axial = 70 MPa, τ = 200 MPa, σ, = 300 MPa and Torsion Bending τ = 170 MPa. ט a. Sketch Mohr's circle showing the relative locations of maximum normal stresses and maximum shear stresses. b. Determine the safety factor with respect to the initial yielding according to the max shear stress theory and to the distortion energy theory.

- A specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s circle, find the state of stress on the element oriented at angle ? = 20° and show the full stress state on a sketch of a properly oriented element.

A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just snug, then add an additional quarter turn to pre-compress the cast-iron pipe. The pitch of the threads of the bolt ap = 52 mils (a mil is one-thousandth of an inch). Use the numerical properties provided. (a) What stresses a and arwill be produced in the cast-iron pipe and brass rod. respectively, by the additional quarter turn of the nut? (b) Find the bearing stress ahbeneath the washer and the shear stress t(in the steel cap.

The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.