GATE Mechanical Engineering (ME) 2017 Shift 1 Solved Paper

​A horizontal bar, fixed at one end (x = 0), has a length of 1 m, and cross-sectional area of 100 mm². Its elastic modulus varies along its length as given by E(x) = 100e^-x GPa, where x is the length coordinate (in m) along the axis of the bar. An axial tensile load of 10 kN is applied at the free end. (x = 1). The axial displacement of the free end is ________mm.