A long concrete beam is to undergo a thermal test to determine its loss of strength in the event of a building lire. The beam cross section is triangular as shown in the sketch. Initially, the beam is at a uniform temperature of 20 °C. At the start of the test, one of the short faces and the long face are exposed to hot gases at 400 °C through a heat transfer coefficient of le W/(mz K) and the remaining short. face is adiabatic. Produce a graph showing the highest and lowest temperatures in the beam as a function of time for the first 1 hour of exposure. For the concrete properties, use k - 0.5 Va(mK) and a = 5 x 10-7 m2.1s. Use a node spacing of 4 cm. and use an explicit difference scheme.