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Question 2. E L4 Fo D L3 Fo C L FB B L J A The figure (not to scale) shows a one dimensional
Question 2. E L4 Fo D L3 Fo C L FB B L J A The figure (not to scale) shows a one dimensional bar subjected to forces FB, Fc and Fp at nodes B, C and D. Nodes A and E are fixed. Given the forces FB-20 kN, Fc = 60 kN and Fp=-70 kN, the lengths L = 220 mm, L =340 mm, L = 360 mm and L = 400 mm, the Young's modulus E = 160 GPa and the cross section area A = 390 mm, calculate the stiffness constants for elements 1,2, 3 and 4 k, k, ky and k in kN/mm, the displacements at nodes B and D d and do in mm, and the reaction forces R and Rg in kN. Enter your answers in the boxes below. The answers are acceptable within a tolerance of 1 kN/mm for the stiffnesses, 1 kN for the forces and 0.01 mm for the displacements. k: kN/mm (1 mark) kN/mm (1 mark) ky kN/mm (1 mark) ky kN/mm (1 mark) dp: mm (2 marks) dp: mm (2 marks)
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