You are asked to design an insulated stud timber wall and have the following materials available: Outer skin materials • • Plasterboard 8 mm thick (k= 0.3 W/m.K) Plasterboard 12.5 mm thick (k = 0.3 W/m.K) Insulated Plasterboard 25 mm thick (k = 0.2 W/m.K) Timber studs available (k = 0.1 W/m.K) • 50 mm x 100 mm • 50 mm x 120 mm 50 mm x 150 mm Insulation layers ● Glass fibre insulation (k= 0.05 W/m.K) Polyisocyanurate insulation (k= 0.025 W/m.K) Sheeps wool insulation (k= 0.04 W/m.K) Wall construction should consist of two outer plasterboard skins, followed by an appropriate stud/insulation infill layer. Studs can be placed vertically at 400 mm or 600 mm intervals and you may ignore any requirement for horizontal studding. 1) Draw a plan (top view) cross section of your wall indicating dimensions, spacing and material choices. 2) Calculate the thermal resistance of your wall. 3) If the internal convective heat transfer coefficient in room one is 10 W/m²K and in the second room it is 15 W/m²K. Calculate the total heat transfer through the wall assuming room one is maintained at 22°C and room two is at 16°C stating clearly any assumptions made.

c. Determine critical load and critical stress for the column/axial member. Justify selection of the formulas for the calculationsInformation provided: i) Boundary/end conditions: In this instance, the column is assumed to be fixed at both ends, simulating conditions where the column is integrally connected to the floor slabs above and below, a common condition in many mechanical design contexts. ii) External axial load: Assuming the column supports a floor with a uniformly distributed load, we've calculated the total axial load on the column to be 453.589 kN. iii) Properties of the column: The cylindrical column is composed of steel, a commonly used material with a known Young's modulus (E) of approximately 200 GPa. The steel has a yield stress of around 250 MPa and ultimate stress near 400 MPa. The diameter (d) of the column is 0.3048 m, providing a cross-sectional area (A) of π*(d/2)² = 0.073 m².

C A cantilever beam is subjected to a downward force of 5 kN at its free end, as shown in Fig. 1. The beam is supported by a circular bracket (BD) attached to a wall. The bracket is made of ductile steel whose elastic limit is 300 MPa, both in tension and compression. Determine the diameter of supporting post using Von-Mises theory. (Hint: Neglected the weight of the beam, the ends B and D are welded) Fig.3 3 m B 2 m 2 m 2 m 5 kN