Timoshenko Beam Problem: Fixed Cantilever Displacement Formulas for UDL Load

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SUMMARY

The discussion centers on the displacement formulas for a fixed cantilever Timoshenko beam subjected to a uniform distributed load (UDL). Participants seek specific x and y displacement equations for beams of varying depths and lengths. A referenced paper provides insights into the relationship between the Timoshenko beam response and Euler beam solutions under similar loading conditions, enhancing understanding of beam behavior in structural engineering.

PREREQUISITES
  • Understanding of Timoshenko beam theory
  • Familiarity with fixed cantilever beam mechanics
  • Knowledge of uniform distributed load (UDL) effects
  • Basic grasp of structural analysis principles
NEXT STEPS
  • Research Timoshenko beam displacement formulas
  • Study fixed cantilever beam behavior under UDL
  • Examine the differences between Timoshenko and Euler beam theories
  • Review the referenced paper on Timoshenko beam response
USEFUL FOR

Structural engineers, civil engineering students, and professionals involved in beam analysis and design will benefit from this discussion.

nucleargrab
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Hi. Does anyone have the x and y displacement formulas for a fixed cantilever beam of a given depth and length, under a UDL (uniform distributed load)? I can't find them anywhere!
 
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nucleargrab said:
Hi. Does anyone have the x and y displacement formulas for a fixed cantilever beam of a given depth and length, under a UDL (uniform distributed load)? I can't find them anywhere!

If you can lay your hands on the solution for a Euler beam, this paper shows how the response of a Timoshenko beam under similar loading conditions is related:

http://www.aimetatorino2013.it/cdrom/cdrom_pdf_fullpaper/002720023701.pdf
 
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