A meter long steel plate with a rectangular cross section(10mm x 50mm) is resting on a frictionless surface under the sun.the plate temperature is measures to be at 40C.the plate is then moved into a cold room and is left to rest on a frictionless surface.after several hours, the template is measured to be at 5 C. the steel has a modulus of elasticity equal to 200,000MPa and a coefficient of thermal expansion equal to 1.1 x 10^-5m/m/C.
a)What is the length of shrinkage?
b)What tension load is needed to return the length to the original value of 4 meters. c)what is the longitudinal strain under this load