DOUBLE INTEGRATION METHOD A consultancy firm is designing a canopy as shown below in Q. 1. a, to provide shelter for the entrance of a building. The roof consists of a plain lightweight concrete cast over a steel decking and is placed on Universal Beams (UB). The roof is subjected to a live load caused by drifting snowed which is assumed to be trapezoidal. The idealized beam considering the lightweight concrete, steel decking and snow are shown in Q. 2. b. The initial beam selected has a moment of inertia, =2841 4, and a modulus of elasticity, =200 . Design codes specify the maximum deflection should not exceed Δ=/ where is the span of the beam in mm. Determine whether the maximum deflection of the beam is less than the permissible deflection. If it is more than the permissible deflection recommend a minimum moment of inertia in cm4 that will meet the design codes specifications.