(Solved): Q1 A cylinder is made of two different materials with elastic modulus of E1 and E2, and unif ...

Q1 A cylinder is made of two different materials with elastic modulus of $$E_1$$ and $$E_2$$, 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.