The state of plane stress at a point on a body can be depicted by the mohr's circle below. point x has coordinates (−10,−21) mpa and point y has coordinates (25,21) mpa.
determine the normal and shear stresses associated with a rotation of the stress element θ=28°. remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. note that you can use the mohr's circle to obtain your answers graphically or you can apply the stress transformation equations.
determine the σx′, σy′ , and τx′y′

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)