Moment applied causing bending stress in beam

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SUMMARY

The discussion focuses on the effects of applied moments on bending stress in beams. It is established that when a moment is applied about the horizontal axis, the top part of the beam experiences tension while the lower part experiences compression. This phenomenon occurs because bending stresses act perpendicular to the plane of the cut, leading to stretching of tension fibers and squeezing of compression fibers. Additionally, longitudinal shearing stresses contribute to slippage between fibers.

PREREQUISITES
  • Understanding of beam mechanics and bending theory
  • Familiarity with stress and strain concepts
  • Knowledge of shear and bending moment diagrams
  • Basic principles of material science related to tension and compression
NEXT STEPS
  • Study the principles of bending stress in beams using "Mechanics of Materials" by Beer and Johnston
  • Learn to construct and interpret shear and bending moment diagrams
  • Explore the effects of longitudinal shear stresses on beam performance
  • Investigate the relationship between moment application and fiber behavior in beams
USEFUL FOR

Engineering students, structural engineers, and professionals involved in beam design and analysis will benefit from this discussion.

fonseh
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Homework Statement


From the solution , it's clear that the top part of the beam undergo tension , while the lower part undergo compression .

Homework Equations

The Attempt at a Solution


But , i don't understand why it is so . When the moment is applied in the horizontal axis , the structure will slide become like this , right ? ( the top part will be slided into the book )
I can't imagine how the moment applied causing the top part to experience tension , while the lower part experience compression . [/B]
 

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You should have learned by now that moments cause bending stresses perpendicular to the plane of the cut, whereas shear stresses act parallel to the plane of the cut. The bending stresses cause stretching of the tension fibers or squeezing of the compression fibers. Tendency of Slippage between fibers is due to longitudinal shearing stresses.
 

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