Two ends of a steel wire of length 8 m and 2mm radius, are fixed at two rigid supports. Calculate the increase in tension in the wire when temperature fall by 10°C. [α steel =12x106K-1,ysteel=2x1011Nm-1]

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x, y,t)along the plate at any time t. b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax