Boundary conditions on a fixed-fixed bar

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SUMMARY

The discussion focuses on determining the force boundary conditions for a fixed-fixed bar subjected to a distributed axial load represented as w(x)=CX/L. The user establishes that the displacement at both ends of the bar, U(0) and U(L), equals zero, indicating fixed supports. The primary challenge lies in defining the derivative boundary condition U'(Value), which requires further clarification on the axial load's impact on the bar's deformation.

PREREQUISITES
  • Understanding of fixed-fixed beam theory
  • Familiarity with axial load distribution
  • Knowledge of boundary condition definitions in structural mechanics
  • Proficiency in differential equations related to beam deflection
NEXT STEPS
  • Research fixed-fixed beam boundary conditions in structural analysis
  • Study the effects of distributed loads on beam deflection
  • Learn about the application of differential equations in structural mechanics
  • Examine examples of U'(Value) calculations for fixed-fixed beams
USEFUL FOR

Structural engineers, mechanical engineers, and students studying beam theory and boundary conditions in mechanics will benefit from this discussion.

Bryan morrow
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I am working with a fixed fixed bar with a distributed axial load to the right as w(x)=CX/L. I am having a hard time determining the force boundary conditions. I know that U(0)=0 and U(L)=0. However, I need to come up with something in regards to U'(Value). Any help would be appreciated.
 
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