Problem 1 (50 pts) Water is held in a rigid tank with internal volume V = 0.5 m3, as shown below. Initially the tank holds saturated vapor at T1 = 200°C.  a.) Sketch a T­-v diagram below and indicate state 1 on it. The two properties that fix state 1 should be obvious from the sketch. b.) What is the pressure of the water in the tank at state 1 (kPa)?

The spring breaks causing the piston to rapidly retract to its fullest extent, as shown below.  During this process the pressure in the piston is not a known function of volume.  The process happens so rapidly that it can be considered adiabatic.  No gas leaks from the piston during the process.  At the conclusion of the process, the volume in the piston is V3 = 0.5 m3 and the pressure is measured to be P3 = 60 kPa. f.) What is the work transfer from the gas to the piston during this process (kJ)?

Problem 3, Part 2d of 3 What is the distortion energy for the mean components in MPa? NOTE: This should reflect the max stresses after stress concentrations are applied.

Problem 1, Part 1a of 3: What is the maximum shear force along the beam in kN?

Problem 2, Part 2b of 3 What is the magnitude of the mean component of the torsional stress in MPa? NOTE: This value should be the nominal stress before stress concentrations are applied.

Problem 1 (6 points) A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R1 = 4333N and R2 = 8667N. The shaft is loaded with a transverse load of 13 kN as shown in the figure. The shaft is made from AISI 1045 hot-rolled steel (Sy = 310MPa and Sut = 570MPa) and the surface has been machined. The strength at 106 cycles is 192.2MPa and the strength at 103 cycles is Sm = 484.5MPa. 

Problem 3, Part 3d of 3 What is the safety factor for infinite life?

Problem 2, Part 1 of 3 What is the fatigue stress concentration factor?

Problem 2, Part 2a of 3 What is the distortion energy for the alternating components in units of MPa?

Question 1, Part 3b of 3: What is the safety factor for fatigue failure?