A thin-walled cylinder has a Young's modulus of 100 GPa, a Poisson’s ratio of 0.33, a coefficient of thermal expansion of 15 x 10-6/ ºC, and a (temperature independent) yield strength of 700 MPa. The cylinder has an average radius of 50.0 mm, a wall thickness of 2.0 mm. and a length of 1.00m at a temperature of 25 ºC. The cylinder is then heated to 800 ºC and subjected to an internalpressure of 10 MPa and an axial tensile load of 150 kN. Under these conditions, the steady-state creep law is given by:!"εH=5×10−21!σH5/s, where the von Mises effective stress,!σH, is in MPa. The material fails when thevon Mises effective strain from creep reaches 0.5%. (Ignore the effects on stressof any changes in the wall thickness and diameter caused by thermal expansion orcreep.)a) Calculate the time to failure from creep.(2.9*105s)b) One can calculate the axial strain rate during creep from the following equation:Use this equation to calculate the total change in length of the cylinder duringservice.(18 mm)