For the spring assemblage shown below, derive an analytic expression for the global stiffness matrix using:

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For the spring assemblage shown below, derive an analytic expression for the global stiffness matrix using: a) the direct stiffness method, and b) the potential energy method approach. Code (using MATLAB, or whatever programming language you like) the mechanical system, where the user will need to provide values for the 5 spring stiffnesses and the program will print-out the global stiffness matrix and output the unknown displacements in each of the following cases: a) a horizontal force 2 kN is applied at point 4 (rightwards direction), b) a horizontal force 2 kN is applied at point 4 (leftwards direction), c) a horizontal force 1 kN is applied at point 3 (rightwards direction) with the restriction at point 3 being removed, and d) a horizontal force 5 kN is applied at point 1 (leftwards direction) with the restriction at point 1 being removed. Use the following values: k(1)=10 N/cm, k(2)=20 N/cm, k(3)=30 N/cm, k(4)=40 N/cm and k(5)=50 N/cm in order to present, analyse and discuss your numerical results.

Matlab and Mathematica

Algorithm

Engineering

Mathematics

Finite Element Analysis

Project ID: 34841321

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@huzaifarizwan995

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@zahid49ch

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€30 EUR in 2 days