School

Texas A&M UniversityDepartment

Aerospace EngineeringCourse Code

AERO 306Professor

John WhitcombStudy Guide

FinalThis

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Analysis of a Beam with a Specified Rotation

Goal: 2-term approximate solution using matrix formulas

I have modified the code to make the spring located a distance "L__spring" from the left.

r = specified rotation at x=4L

You can simplify this problem by simply setting some parameters like k or P to zero at the beginning. If

you set r=0, then you have the zero rotation condition, which is also simpler.

Get Valid assumed solution

There are three kinematic constraints, so we need to start with 5 terms.

Comment out the next line except when generating results for pasting into the Word file.

The equations to be solved to impose the kinematic constraints are

After the constraints are imposed, we have the following valid assumed solution

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Pick out the interpolation functions

Calculate the stiffness matrix and load terms

Solve

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