Pure Elastic Beam Bending Using Numerical Methods

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Pure Elastic Beam Bending - Using Numerical
Methods Other Numerical Methods Used to
Approximate 2nd Order DE
h0.25 - Loadcase 1 h0.5 - Loadcase 2 Each
Method Produced Good Deflection Approximations
for both Loadcases (within 0.3) Finite
Difference Method Recorded Highest Error for
both Loadcases

• Linear Shooting Method
• Finite Difference Method
• Raleigh-Ritz Method

2 Choices for Increased FDM Accuracy 1.)
Increase of Stations (lower h) 2.) Approximate
derivatives w/ Higher Order Taylor Series
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