Auniform beam with symmetric cross section is simply supported over a span of 6 m. it carries a trapezoidally distributed load with intensity varying from 30 kn/m at the left-hand support to 90 kn/m at the right-hand support. find the equation of the deflection curve as a function of z. also determine the deflection at the mid-span point, z

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.