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CIVIL 211 Test 2 September 166 2005 50 minutes, 15% 1. (a) (b) (c) Calculate the plastic section modulus, ZP, of the cross-section shown below (for bending about a horizontal axis). [1 mark] If the material has a yield stress of 220MPa what is the value of the fully plastic moment, MP? [1 mark] If the elastic section modulus ZE = 0.0141m3, what is the value of the shape factor, f. [1 mark] 0.4m 0.2m 0.4m 0.2m 1. (a) (b) If the propped cantilever below is to carry the factored loads shown (i.e. the loads have already been multiplied by load factors to give 1.2G+1.5Q), determine the minimum required beam strength, MP. [10 marks] In the context of plastic analysis, describe briefly what you understand is meant by the the conditions of equilibrium, mechanism and yield. Determine whether your solution satisfies these three conditions (hint: draw the shear force and bending moment diagrams at the instant of collapse). [2 marks] 20kN/m 3m 80kN 2m