plugin-Deflection_of_Beams

plugin-Deflection_of_Beams - 2. Section beam (when needed)...

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Deflection of Beams Study Guide Equations Boundary Conditions Starting with an expression for w(x) (1) ) ( 4 4 x w dx y d EI = (2) + = = 1 3 3 ) ( ) ( C dx x w x V dx y d EI (3) 2 1 2 2 ) ( ) ( C x C dx x w dx x M dx y d EI + + = = ∫∫ Starting with an expression for M(x) (4) ) ( 2 2 x M dx y d EI = (5) + = = 3 ) ( ) ( C dx x M x EI dx dy EI θ (6) 4 3 ) ( )] ( [ C x C dx x M dx x y EI + + = ∫∫ Procedure for Analysis 1. Draw FBD of complete system.
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Unformatted text preview: 2. Section beam (when needed) 3. Draw FBD of section 4. Use either equation (1) or (4) 5. Integrate equations until obtain y(x) 6. Solve for Constants using boundary or continuity conditions...
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