Calculating Elastic plastic bending moment

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SUMMARY

The discussion focuses on calculating the elastic plastic bending moment in strength of materials, specifically addressing the uncertainty regarding the behavior of the section below the neutral axis before the flange reaches yield stress. The participant seeks clarification on whether the section can be assumed fully plastic and requests a methodology for solving the problem. Key equations involve summing compressive and tensile forces/moments to determine the shift of the neutral axis, highlighting the challenge of making assumptions about the plasticity of the section.

PREREQUISITES
  • Understanding of strength of materials principles
  • Familiarity with stress-strain curves
  • Knowledge of neutral axis concepts
  • Proficiency in calculating bending moments
NEXT STEPS
  • Research methods for determining the neutral axis in plastic bending
  • Study the stress-strain behavior of materials under bending loads
  • Learn about fully plastic sections and their implications in design
  • Explore advanced topics in elastic-plastic analysis
USEFUL FOR

Students preparing for strength of materials exams, engineers involved in structural analysis, and professionals seeking to deepen their understanding of elastic plastic behavior in materials.

Matthew Titus
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1. The problem statement, all variables, and given/known data
Good day

I am preparing for a strength of materials exam and I can't seem to solve this problem. I am unsure if the section below the neutral axis is fully plastic before the edge of the flange experiences the yield stress. Could anyone please provide an explanation or methodology into solving this problem.

Homework Equations

The Attempt at a Solution


summing compressive and tensile forces/moments in order to resolve where the neutral axis has shifted but to be able to do this we would have to assume that the section is entirely plastic below the neutral axis to have one unknown variable which we are not comfortable assuming
 

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What is the compressive side of the stress strain curve supposed to look like?
 

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