Calculating Bending Moment: 2b Question and Solution | Homework Equations

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Discussion Overview

The discussion revolves around a homework problem related to calculating bending moments and stresses in a structural element. Participants are focused on determining the maximum tensile and compressive stresses, specifically addressing the calculations for part 2b of the problem.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents their calculated values for maximum compression and tension as 58.4 MPa and 34.5 MPa, respectively, noting a discrepancy of about 4 MPa.
  • Another participant confirms agreement with the initial calculations but later presents different values of 30.93 MPa for tensile stress and -61.99 MPa for compressive stress, expressing confusion over the discrepancy.
  • Several participants suggest that the initial answers may be incorrect, questioning the reliability of the provided exam question.
  • A participant points out that the initial calculations are correct for bending alone but fails to account for an additional axial compression of 3.6 MPa, suggesting the use of the combined stress formula.
  • There is acknowledgment from participants that they overlooked the axial compression component in their calculations.

Areas of Agreement / Disagreement

Participants express disagreement regarding the correctness of the initial answers, with some supporting the calculated values while others propose different results. The discussion remains unresolved as participants explore the implications of axial compression on the stress calculations.

Contextual Notes

Participants note the importance of considering axial compression in conjunction with bending stress, indicating that the calculations may depend on the application of the combined stress formula. There is also uncertainty regarding the accuracy of the original exam question.

mzha109
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Homework Statement


The problem can be found here:
2422006-1.png


Sorry the picture is so small. I guess you can download it and then zoom in or something. The main question I'm interested in 2b. Calculating the moment.

position of neutral axis: 37.14mm
Second moment of area: 2.83 x 10^(-6)

Homework Equations


The flexure formula.

The Attempt at a Solution


My answers for maximum compression : 58.4MPa and maximum tension: 34.5MPa. They're off by about 4Mpa respectively.
 
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Sorry I should have made it more obvious. The answers are:

Stress tensile=30.93 MPa, Stress compressive=-61.99 MPa.

I can't figure out why I'm wrong.
 
:smile:Me neither,so maybe they're wrong?
 
I hope not. It was an exam question. I'd imagine they'd be more careful.
 
Your answers are correct for bending alone, but there is an additional 3.6 MPa for the axial compression. In other words apply the combined stress formula N/A +- M/Z
 
pongo38 said:
Your answers are correct for bending alone, but there is an additional 3.6 MPa for the axial compression. In other words apply the combined stress formula N/A +- M/Z
Nice catch, thanks, we completely overlooked that.
 
pongo38 said:
Your answers are correct for bending alone, but there is an additional 3.6 MPa for the axial compression. In other words apply the combined stress formula N/A +- M/Z

Oh of course I can't believe I forgot that. Thankyou so much.
 

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