Bending Moment for Bending Diagram

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Discussion Overview

The discussion revolves around the calculations of bending moments for a bending moment diagram, focusing on understanding the methodology and addressing confusion related to specific calculations. Participants are exploring concepts related to point loads, uniformly distributed loads (UDL), and the relationship between shear and moment diagrams.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about the calculations for bending moments, specifically regarding the subtraction of various increments after multiplying by distances.
  • Another participant questions what specific aspects of the calculations are confusing and what the original poster believes they have missed from the course.
  • A participant provides a corrected approach to calculating bending moments at specific points, suggesting that the left-to-right summation presented in the example is incorrect and provides alternative formulations.
  • Another participant critiques the straight lines in the moment diagram, stating that bending moment should be the integral of the shear function, implying that the shear should represent the slope of the moment diagram.

Areas of Agreement / Disagreement

There is no consensus on the correct approach to the bending moment calculations, as participants present differing views on the methodology and correctness of the provided examples.

Contextual Notes

Participants indicate a lack of understanding of foundational concepts such as point loads and UDLs, which may affect their grasp of bending moment calculations. There are also unresolved issues regarding the conventions used in the calculations and the representation of the moment diagram.

lee123456789
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Hi
Im a bit confused with the example
Can somebody explain and show to me how they got the bending moment calculations for the diagram in the attached. i understand it up to there.

I started course late and can't ask for help.
Thanks
 

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What is exactly what confuses you about these calculations?
What do you believe that you have missed from the course so far?
 
Bending Moment, i understand you times the 7.125 by various distance to find points along the bending moment digram. I don't get why after they subtracted various increments after.

e.g
6m
BM = (7.125 x 6) - (6x3.5) - (4x0.5)
or
7m
(7.125x7) - (6x5.5)-(4x2.5)

The course been running for 3 weeks and was late to enrolling and only just started looking at this in half term. so missed point loads, UDL, bending moment, Digrams and stuff.
 
lee123456789 said:
Bending Moment, i understand you times the 7.125 by various distance to find points along the bending moment digram. I don't get why after they subtracted various increments after.

e.g
6m
BM = (7.125 x 6) - (6x3.5) - (4x0.5)
or
7m
(7.125x7) - (6x5.5)-(4x2.5)

The course been running for 3 weeks and was late to enrolling and only just started looking at this in half term. so missed point loads, UDL, bending moment, Digrams and stuff.
Rather than calculating internal moments in the beam at each point onto which a punctual force is applied (normal way), this person has assigned different values of x starting from the left end.

The shown left to right summation for x=6 m is incorrect.
It should have been:
##M_{x=6~m}=[(4~KN)(6.0-4.5)]+[(6~KN)(6.0-1.5)]-[(7.125~KN)(6.0)]##

The shown left to right summation for x=7 m is incorrect.
It should have been:
##M_{x=7~m}=[(4~KN)(7.0-4.5)]+[(6~KN)(7.0-1.5)]-[(7.125~KN)(7.0)]##

Note that the signs for each moment has been reversed from normal convention.

Please, see:
https://en.m.wikipedia.org/wiki/Shear_and_moment_diagram

https://www.engineeringtoolbox.com/beam-stress-deflection-d_1312.html

https://mathalino.com/reviewer/mechanics-and-strength-of-materials/shear-and-moment-diagrams

https://mathalino.com/reviewer/mech...materials/chapter-4-shear-and-moment-in-beams

https://mathalino.com/reviewer/mech...erials/relation-between-load-shear-and-moment

https://www.eng-tips.com/viewthread.cfm?qid=407272

:cool:
 
Last edited:
T he straight lines in the moment diagram you have drawn are not correct. Bending moment is the integral of the shear function, so shear must represent the slope of the moment diagram.
 

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