Are Displacement and Deflection the Same in Beam Analysis?

AI Thread Summary
Displacement and deflection in beam analysis refer to the same concept, specifically the transverse displacement at a point on the beam, typically denoted as v. The discussion emphasizes that if the displacement calculated using complementary energy (virtual load) differs from the deflection obtained through beam integration, it indicates an error in the analysis. It is suggested to verify the results by applying both methods to a simple beam problem, such as a cantilever. Understanding the relationship between these two calculations is crucial for accurate beam analysis. The clarification of these terms is essential for effective engineering problem-solving.
EngineeringDave
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Hi I am tackling a question which combines Beam deflection with Bending Virtual Load.
I am wondering whether the displacement found at a point through complementary energy (virtual load) is the same an the deflection through beam integration at that same point?

It maybe a stupid question but I'm struggling to tell the difference!
 
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Sorry just to clarify when I said displacement I mean the transverse displacement (usual symbol is v).
 
EngineeringDave said:
Hi I am tackling a question which combines Beam deflection with Bending Virtual Load.
I am wondering whether the displacement found at a point through complementary energy (virtual load) is the same an the deflection through beam integration at that same point?

It maybe a stupid question but I'm struggling to tell the difference!

If the two deflections aren't equal, then there is a problem somewhere. You can always analyze a simple problem from a beam table (like a cantilever, for instance) using the two methods to check.
 

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