Symmetric loading vs antisymmetric loading

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SUMMARY

The discussion centers on the concepts of symmetric and antisymmetric loading in structural analysis, specifically regarding a circled beam subjected to loads. The first case is identified as symmetric loading due to the load P being applied at the midspan of segments AB and CD, resulting in a consistent M/EI diagram. In contrast, the second case is classified as antisymmetric loading, which does not maintain this symmetry, leading to a different M/EI response. The participants confirm that the loading conditions directly influence the behavior of the beam under these two scenarios.

PREREQUISITES
  • Understanding of beam theory in structural mechanics
  • Familiarity with M/EI diagrams and their significance
  • Knowledge of load application points and their effects on structural behavior
  • Basic principles of symmetric and antisymmetric loading
NEXT STEPS
  • Study the principles of beam deflection and bending moment calculations
  • Explore the differences between symmetric and antisymmetric loading in detail
  • Learn about M/EI diagrams and their applications in structural analysis
  • Investigate real-world examples of symmetric and antisymmetric loading scenarios
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in analyzing beam behavior under various loading conditions will benefit from this discussion.

fonseh
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Homework Statement


For the circled beam , we can see that for both cases , the load are loaded in the same way ... Why the M / EI diagram for the first case is different from the second case ? Why for the first case , it's symmetric loading ? For the second case , it's antisymmetric loading ?

Homework Equations

The Attempt at a Solution


I think the second case is wrong . Only the first case make sense . From the figure , we can see that the load P is applied at the midspan of AB and CD . So . it's symmetric loading , am i right ?
 

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The loading is not symmetric in case 2.
Why?
 

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