Question 2 A rigid bar of weight W=1,200 N hangs from three equally spaced vertical wires as shown in Figure Q2. The wires also support a concentrated load P acting on the bar. The diameter of the steel wires is 6 mm while the diameter of the aluminium wire is 15 mm. Assume the modulus of elasticity of steel and aluminium are E, 200 x 103 N/mm² and Ea = 80 x 103 N/mm² respectively. (a) Set up the equilibrium and compatibility equations for the system shown. [7 marks] (b) What load Pallow can be supported at mid-span of the bar if the allowable stress in the steel wire is 210 N/mm² and that in the aluminium wires is 70 N/mm². You are expected to show all calculations or checks for both aluminium and steel wires. [15 marks] (c) What will be the change in length of each wire when the load Pallow is acting? [3 marks] A 950 mm S A S = Steel 250 mm 250 mm A Aluminium → W Figure Q2

Consider the bar in Figure 2, which has cross-sectional area A = 1·10−3 m2, modulus of elasticityE = 1·1011 N/m2, and length 1 m. The bar is fixed to a wall on its left hand side. Along the left halfof the bar, x=[0 m, 0.5 m], there is a constant distributed force of l(x) = 10 kN/m. Along the righthalf of the bar, x=[0.5 m, 1 m], there is a constant distributed force of l(x) = 20 kN/m.  a) Given the finite element mesh in Figure 3, consisting of two elements of equal size L = 0.5 m,sketch the associated basis functions of the mesh, and write the approximation of the displacementfunction u(x) as an expansion of these basis functions. Use u1, u2 and u3 to denote the expansioncoefficients for each node. b) The general form of the element stiffness matrix system, with nodes indexed by i and j, is givenas shown in the image of eqaution 2, where F0 and f(1) denote boundary forces at positions x = 0 and x = 1, respectively. Form the two basis functions for element 2, and evaluate the right…

can you help me answer this question using the figure provided? thank you.

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