Beam Bending & Stress: Solve 2 Cantilever Problem

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SUMMARY

The discussion focuses on solving a beam bending problem involving two cantilever beams stacked vertically, subjected to an applied force. The user, Paddy, seeks to determine the stress on the left-hand beam and its deflection using Roark's formulas of stress and strain. A key insight provided is that if the beams touch after the load is applied, their vertical displacements at that point will be equal, which can be utilized in calculations. This interaction between the beams is crucial for accurately assessing stress and deflection.

PREREQUISITES
  • Understanding of Roark's formulas of stress and strain
  • Knowledge of cantilever beam mechanics
  • Familiarity with beam deflection calculations
  • Basic principles of structural engineering
NEXT STEPS
  • Research methods for analyzing interactions between multiple cantilever beams
  • Study advanced applications of Roark's formulas in complex loading scenarios
  • Learn about finite element analysis (FEA) tools for beam stress and deflection
  • Explore the concept of compatibility in structural analysis
USEFUL FOR

Structural engineers, mechanical engineers, and students studying beam mechanics will benefit from this discussion, particularly those dealing with complex loading conditions on cantilever beams.

paddy-boy66
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I'm stuck on a beam bending problem I have. I have 2 cantilever beams one one top of the other applying a force. I need to know find the stress on the left hand beam and the deflection. I have the formulas (using Roark's formulas of stress and strain) but there's nothing about two cantilevers interacting with each other. Can anybody tell me how I go about this? Thanks
Paddy
see attached doc for pic
 

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If they touch one another after the load F is applied, then you can somehow use the fact that their vertical displacements in that point are equal.
 

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