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CVL757 - Finite Element Methods Assignment 1

This document provides instructions for Assignment 1 of the CVL757 - Finite Element Methods course. Students are asked to: 1) Obtain the stiffness matrix [k] in global coordinates for bar and beam elements given the stiffness [k'] in local coordinates. 2) Write a MATLAB code to model a beam problem discretized with 1 and 5 elements, determine nodal displacements, and plot slope and displacement compared to analytical solutions. The code should be neatly commented and run-ready for submission.

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Mickey Dalbehera
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30 views1 page

CVL757 - Finite Element Methods Assignment 1

This document provides instructions for Assignment 1 of the CVL757 - Finite Element Methods course. Students are asked to: 1) Obtain the stiffness matrix [k] in global coordinates for bar and beam elements given the stiffness [k'] in local coordinates. 2) Write a MATLAB code to model a beam problem discretized with 1 and 5 elements, determine nodal displacements, and plot slope and displacement compared to analytical solutions. The code should be neatly commented and run-ready for submission.

Uploaded by

Mickey Dalbehera
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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CVL757 – Finite Element Methods

Assignment 1

1. Obtain the stiffness matrix [k] in global coordinates for the (i) bar, and (ii) beam
element if [k’] is the stiffness in the local coordinates.

2. 1D beam Problem: Consider the beam as shown in the figure below. The dimension b
= 100 mm, and h = 500 mm. Consider E = 200 GPa. Write a finite element code in
MATLAB to determine the nodal displacements of the bar. Write the FE code
considering a discretization consisting of: (i) one beam element, (ii) five beam
elements. Plot the graph of the slope and displacement of the beam as a function of
the length. Compare it with the analytical solution. Please submit the MATLAB run-
ready code neatly commented.

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