How Do I Draw This Shear and Moment Diagram?

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Discussion Overview

The discussion revolves around the process of drawing shear and moment diagrams for a beam in equilibrium, with participants seeking guidance on how to approach the problem and clarify their understanding of reaction forces and load distributions.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant asks for help in drawing the shear and moment diagram based on a provided image.
  • Another participant questions the origin of a reaction force mentioned in the initial post.
  • Some participants suggest that reaction forces can be determined easily due to the beam being in equilibrium.
  • There is a correction regarding the magnitude of a vertical force, changing it from 450 kN to 60 kN.
  • Participants discuss the need for moment balances and the equations for shear stress and bending moment along the beam.
  • One participant notes that the location of point x is not fixed and that shear and moment values vary along the beam's length.
  • A detailed explanation is provided regarding the behavior of moments and shear forces at different cross-sections of the beam.
  • A link to a potentially useful resource is shared for further exploration of the topic.

Areas of Agreement / Disagreement

Participants express differing views on the determination of reaction forces and the analysis of shear and moment loads, indicating that multiple competing perspectives exist without a clear consensus on the approach to the problem.

Contextual Notes

Participants mention specific assumptions regarding equilibrium and load distributions, but these assumptions are not universally accepted or clarified, leaving some aspects of the discussion unresolved.

Who May Find This Useful

This discussion may be useful for students or practitioners in engineering or physics who are learning about shear and moment diagrams and the principles of static equilibrium in beams.

pawer
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Hi everyone,

Can anyone tell me how do I draw the shear and moment diagram of below pic

Shear_and_Moment.webp

using the method like below pic?

Shear_and_Moment_example.webp

This is my attempt/work of the reacting forces:

Reacting_Force.webp

Thank you very much for the help.
 
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Where did that reaction force come from?
 
I think since it's on equilibrium state, so the reaction forces can be easily found.
 
pawer said:
I think since it's on equilibrium state, so the reaction forces can be easily found.
Welcome!
But if the only point of anchorage of the beam to the ground is exerting 450 kN of vertical force to keep that equilibrium state, which vertical loads are inducing that reaction?
 
Lnewqban said:
Welcome!
But if the only point of anchorage of the beam to the ground is exerting 450 kN of vertical force to keep that equilibrium state, which vertical loads are inducing that reaction?

It was my mistake, sorry. It should be 60 kN.

Reacting_Force_Corrected.webp


Reacting_Force_Corrected.webp
 
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How do I draw the Shear and Moment diagram of this problem?
 
pawer said:
How do I draw the Shear and Moment diagram of this problem?
Have you done it before for simpler cases?
 
Chestermiller said:
OK. Let's see your moment balances now.
You write an equation for the shear stress and bending moment vs x for each section of the beam. You then plot these equations on a graph.
 
  • #10
Lnewqban said:
Have you done it before for simpler cases?

I can draw the shear and moment diagram like post #1.

The book I am reading about shear and moment diagram does not show example of what I'm asked.

At which point the x is located so that I can find the function of x of this problem?
 
  • #11
pawer said:
At which point the x is located so that I can find the function of x of this problem?
There is no point at which x is located.
For each cross-section of the beam represented by any x distance from the point of anchorage to the wall along the beam, there are specific values of shear and moment loads.

Without doing any calculation, we know that the beam's cross-section that is resisting the maximum value of moment is located at the point of anchorage A, and that the end of the beam (cross-section E) will not be fighting any moment.

The intensity of the resisting moment will decrease squarely from A to E, but not following a single parabola because the pattern of the load distribution changes at point C.

The shear-moment combined loads that the cross-sections located between E and C are resisting could be analyzed as if that length of the beam were anchored to a wall located at C (this would not work for calculations of the beam's deflection).

The analysis of the shear-moment combined loads that the cross-sections located between A and C are resisting would need to consider the actual shear and moment loads that the section located at C is experiencing (as previously analyzed above).
 
  • #13
This is my work. Can someone please tell me how do I find the one in red, question symbol?

Shear_and_Moment_(worked_example).webp
 

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