shows a cylinder made of two different materials with elastic modulus of E, and Ez, and uniform cross section area, A. The cylinder is subjected to forces F and P, and fixed support at one end. If the cylinder is modelled as a spring system to represent one-dimensional bar element in finite element method, i. sketch the spring system for the cylinder and derive the equilibrium equations, ii. express the equations (i) in finite element matrix formulation. E1 E2 Li A cylinder subjected to two forces

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