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Normal Stress in a Straight Member Due to Bending Moment

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5 Questions

What is the main cause of normal stress in a straight member?

Bending moment

In the analysis of normal stress due to bending moment, what assumption is made about the length of the member?

Length remains unchanged

At which edge of a member does the maximum normal strain occur?

Edge furthest from the neutral axis

What is the value of the normal strain at an arbitrary location Y in the member?

-Y/Rho

How does normal stress vary along the Y axis in a straight member under bending moment?

Follows a linear distribution

Study Notes

  • Introduction to normal stress caused by bending moment in a straight member
  • External moments cause internal bending moment in the member, leading to deformation
  • Assumptions made for analysis: neutral plane curves but length remains unchanged, cross-sections remain perpendicular to neutral plane, shape and size of cross-section remains unchanged
  • Normal strain at arbitrary location Y calculated as epsilon = -Y/Rho
  • Maximum normal strain occurs at edge furthest from neutral axis, with value of C/Rho
  • Normal stress follows linear distribution along Y axis, with maximum stress occurring at the same edge
  • Derivation of equation for maximum normal stress (Sigma max = MZC/Iz) and normal stress at arbitrary location Y (flexure formula)

This quiz covers the concept of normal stress induced by external bending moments in a straight member. It includes the assumptions made for analysis, calculation of normal strain at an arbitrary location, and the derivation of equations for maximum normal stress and normal stress at any location along the member.

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