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categoryهندسة ميكانيكية schoolبكالوريوس event_available2026-07-15

السؤال

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An aluminium plate is used as a bracket to support 200 kN load at A as shown in Figure 1.1. The plate has a uniform thickness of 1 cm and its Young's modulus is 90 GPa. Based on the physical application, the boundary condition could be modelled to be fixed at the top of the plate. (a) Model the plate that could represent the non-uniform shape according to direct stiffness method of 1-D element using, i. 2 elements ii. 3 elements. (6 marks) (b) Compare and evaluate the difference of the displacement at end point B between the 2-element and 3-element models. (15 marks) (c) Justify the reasons of the different displacement occur between the models evaluate for (b). 24 cm 6 cm P 16 cm B 3 cm Figure 1.1 An aluminium bracket subject to load P. (4 marks)

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