Instruction: You must finish each question with a step-by-step manner to clearly show your problem-solving procedure. Microsoft EXCEL is encouraged to be utilised to replace hand calculation. Only electronic version is accepted for submission via the VMS site. Only electronic version is accepted for submission via the vUWS site. Note that q is the last three digits of your student identification number (Student ID).
Question 1: Plate and shell elements (25 marks) As one of benchmarking problems for shell elements, a hollow cylinder with a 600+ 0.q-mm length, a 300+ 0.q-mm radius and a thickness of 3 + 0.q mm is closed on both ends by a diaphragm and loaded by a pair of opposite forces, (1.0 + 0.q) x 105N, on the top surface in the middle of the hollow cylinder as shown below. You are required to a) establish an appropriate finite element model for this cylinder fully taking advantage of the symmetry boundary conditions; b) apply the proper boundary conditions including support constraints and loadings; and c) run at least 4 finite element simulations with different mesh size to determine the maximum resultant deflection as well as the maximum von Mises stress in the modell considering mesh refinement for convergence.
300 mm z – 10, N
300 mm
E = 3 x106 N/mm2 v = 0.3 r = 300 mm t = 3 mm
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