At a point on the surface of an elliptical exercise machine the material is in bioxiol stress with og= 3,300 psi, and oy = -1,400 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same polint in the material but oriented at an angle 0. (a) (b) Determine the value of the angle 0 between zero and 90" such that no normal stress acts on plane aa. Round your answer to two decimal places. 0 = O• Round your answers to nearest whole number. psi psi

The assembly shown in figure below consists of a light rigid bar AB, pinned at O, that is attached to the steel and aluminum rods. In the position shown, bar AB is horizontal and there is a gap, A = 5 mm, between the lower end of the steel rod and its pin support at C. Compute the stress in the aluminum rod when the lower end of the steel rod is touch to its support. A 0.75 m Steel A = 250 mm E = 200 GPa *i* O 1.5 m Aluminum L = 2m A = 300 mm' E = 70 GPa B D

A steel wire (E= 200 GPa) of diameter d= 1.25 mm is bent around a pulley of radius Ro= 500 mm. What is maximum stress in the wire?

A critical point in a part made of a ductile material is subject to the following state of plane stress: 15ksi, 30 ksi, 15 ksi, Ox,min = -35 ksi, Oy,min = 30 ksi, Txy,min = -15 ksi. Ох,max бу,max Тxy,max %3D There are no stress concentrations. The load line is propositional. The material has a yield strength of Sy = 130 ksi, an ultimate strength of Su = 200 ksi, and a fully corrected endurance limit of Sn : 75 ksi. Calculate the: (a) Static factor of safety using the MSSTF, (b) Static factor of safety using the DETF, (c) Fatigue factor of safety using the Soderberg criterion, (d) Fatigue factor of safety using the Goodman criterion, (e) Fatigue factor of safety using the ASME elliptic criterion.