5003 Lectures - Faculty of Engineering and Applied Science

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E5003 - Ship Structures I 162 © C.G. Daley 15.6 Assuming that you are using a program that performs matrix structural analysis, explain concisely how the global stiffness terms for the joint circled in the sketch below are determined. You don’t have to solve this frame.
E5003 - Ship Structures I 163 © C.G. Daley Topic 16 Overview of Finite Element Theory Introduction In this chapter we will • introduce the 2D finite element called the constant stress triangle (cst) • show how to derive the element stiffness and all output values from energy considerations ~~~~~~~~~~~~~~~~~~~~ Finite element method Recall that for a beam, we can relate the end loads by a stiffness equation in matrix form; { F } = [ K ]{ x} We can find the K terms for a beam by solving the beam bending equation for various end movements. To find the displacement of some point along the beam (at x ) we could solve the system for the displaced shape. We would find that the displacements would be; dx = d + x d − d ) (why so simple?) and 1 ( 4 1
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5003 Lectures - Faculty of Engineering and Applied Science

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