Ashaft is loaded in bending and torsion such that the bending moment at a critical cross section varies between 125 n. m and –15 n. m, and torsional moment varies between 80 n. m and –10 n. m. the shaft is made of steel of ultimate strength 700 mpa, yield strength of 400 mpa and a fully corrected endurance limit of 210 mpa can be assumed. the cross section is part of a stress concentration feature where kt = 2.2 and kts = 1.8. find the minimum acceptable diameter using de-goodman criterion for a safety factor of 2.0. also calculate the first cycle yielding safety factor.

Calculate the bore of a cylinder that has a stroke of 18 inches and an extension time of 6 seconds at a flow rate of 4 gal/min.

Amass-spring-viscous damper system of mass 3 kg has a frequency of 100 rad/s and is critically damped. its initial conditions are x(0)-3 mm and (0)-2.3 m/s. does the system overshoot its equilibrium position? prove your answer

Steam at a pressure of 100 kpa and a quality of 50% initially fills a rigid vessel having a volume of 0.5 m^3. the steam is then heated, causing the pressure in the vessel to rise to 150 kpa. determine: i. the mass of the steam in the vessel. ii. the temperature and quality of the steam after the heating process. ii the mass of the vapour, mg and liquid, m in the vessel after the heating process. if the steam in the vessel is now further heated, what would the pressure and temperature in the vessel be when all steam has turned into saturated vapour? b. sketch the processes in part (a) and part (b) on p-v and t-v diagrams, indicating clearly the temperatures, pressures and the paths. c. (0.59kg, 111.4°c, 73%, 0.4307kg, 0.1 593kg, 2.11 bar, 121.84°c)