This preview shows pages 1–7. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Strength of Materials I EGCE201 1 Instructor: t . (t .t ) : 6391 3 Email: egwpr@mahidol.ac.th Beam Deflections As a beam is loaded, different regions are subjected to V and M the beam will deflect Recall the curvature equation x x The slope ( ) &amp; deflection (y) at any spanwise location can be derived A cantilever with a point load The moment is M(x) = Px The curvature equation for this case is The curvature is at A and finite at B Obviously, the curvature can be related to displacement The slope &amp; deflection equation The following relations are established For small angles, tan ; = = dy dx ds d = = = = dy dx s x d ds d y dx M x EI ; ( ) 1 2 2 Multiply both sides of this equation by EI and integrate EI dy dx EI M x dx C x = = + ( ) 1 1 2 2 = = d y dx M x EI ( ) Where C1 is a constant of integration, Integrating again EI y M x dx C dx C dx M x dx C x C x x x x = + + = + + ( ) ( ) 1 2 1 2 Slope eqn Deflection eqn C1 and C2 must be determined from boundary conditions Double Integration method Boundary conditions Cantilever beam Overhanging beam Simply supported beam Statically indeterminate beam...
View
Full
Document
This note was uploaded on 11/10/2010 for the course AEROSPACE AE 1202 taught by Professor Dr.adib during the Spring '10 term at Sharif University of Technology.
 Spring '10
 Dr.Adib

Click to edit the document details