Notes 4 - Consistent Deformation Beam Example

Notes 4 - Consistent Deformation Beam Example - Consistent...

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Consistent Deformations – Beam Example - Page 1 of 4 Consistent Deformations Beam Example Objectives: 1. Set up the coordinate systems for virtual work in a beam 2. Calculate the moment equations for sections of a beam 3. Integrate using the Virtual work formulas to get displacements 4. Calculate the reactions for a 1-degree indeterminate beam structure Example: One-degree indeterminate structure, two span continuous beam. Step 1), is to create the determinate base structure by removing supports. Consistent Deformations Beam Example Possible determinate base structures:
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Consistent Deformations – Beam Example - Page 2 of 4 Choose below since displacement easier. 2 wL 2 wL Load Case 0 w (load/length) Step 2) calculate the displacement at the center (where the redundant was removed) as a result of the applied loading. The needed displacement is at the center of the structure, r 10 . Using Virtual Work, the virtual load is: The moment equations for the real loading are:
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This note was uploaded on 11/21/2011 for the course CES 4141 taught by Professor Lybas during the Spring '08 term at University of Florida.

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Notes 4 - Consistent Deformation Beam Example - Consistent...

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