How do you find a curve pipe bending moment and shear force?

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Discussion Overview

The discussion revolves around calculating the bending moment and shear force for a curved conduit suspended in mid-air using two slings. Participants explore the problem's setup, including assumptions of equilibrium and the application of relevant equations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents a problem statement involving a curved conduit and mentions the use of a uniformly distributed load (UDL) and forces acting on the conduit.
  • Another participant critiques the clarity of the equations provided and emphasizes the importance of understanding the fundamentals before applying equations.
  • There is a discussion about the values of forces F1 and F2, with one participant providing specific numerical values and explaining the rationale behind segmenting the conduit into different sections based on material and shape.
  • Concerns are raised regarding the determination of section lengths and angles, particularly the subtended angle for section 3, which is noted to be incorrectly assumed as 90 degrees instead of 97.13 degrees.
  • Participants discuss the gravitational force's direction and its effect on shear force and moment calculations, questioning the correctness of the center of mass determination.

Areas of Agreement / Disagreement

Participants express differing views on the correctness of the calculations and assumptions made regarding the geometry and forces acting on the conduit. The discussion remains unresolved as multiple competing perspectives are presented.

Contextual Notes

Limitations include unclear definitions of parameters in equations, assumptions about the geometry of the conduit, and the need for further verification of the center of mass and angle determinations.

HHJ
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A2AD2F3D-D410-4891-98B3-F950A9934C63.jpeg
1. Homework Statement

I have problem solving the bending moment and shear force of a conduit with a curve end. The conduit is lifted in the mid-air with 2 slings and assume it is in equillibrum.

I have attach a drawing for reference.

Homework Equations


What i know, there is a UDL somewhere and the forces y of F1 and F2 is = to the total weight of the whole conduit.Formula for moment at :Lecturer told me to use differentiation:
dMx/dx=0

* thread TBC...

The Attempt at a Solution

 

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Last edited:
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Your equation is unreadable and the parameters in the equation are not defined.

What is the first step in solving a problem like this (hint: it is not plugging numbers into an equation)? Go back to fundamentals.
 
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HHJ said:
View attachment 214968 1. Homework Statement
I have problem solving the bending moment and shear force of a conduit with a curve end. The conduit is lifted in the mid-air with 2 slings and assume it is in equillibrum.

I have attach a drawing for reference.

Homework Equations


What i know, there is a UDL somewhere and the forces y of F1 and F2 is = to the total weight of the whole conduit.
Formula for moment at :
Mx = W1(L1/2 *x)+Wx(x/2)-F1sin(@)*x

Lecturer told me to use differentiation:
dMx/dx=0

The Attempt at a Solution

Chestermiller said:
Your equation is unreadable and the parameters in the equation are not defined.

What is the first step in solving a problem like this (hint: it is not plugging numbers into an equation)? Go back to fundamentals.

Chestermiller said:
Your equation is unreadable and the parameters in the equation are not defined.

What is the first step in solving a problem like this (hint: it is not plugging numbers into an equation)? Go back to fundamentals.
Chestermiller said:
Your equation is unreadable and the parameters in the equation are not defined.

What is the first step in solving a problem like this (hint: it is not plugging numbers into an equation)? Go back to fundamentals.

Sir Chestermiller, thanks for the quick reply. I am still editing this post please bear with me.
 
HHJ said:
Sir Chestermiller, thanks for the quick reply. I am still editing this post please bear with me.

If my post is unbearable do you need to spam on the threat?
 
HHJ said:
If my post is unbearable do you need to spam on the threat?
I don't see any spam (yet).
 
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I see your notations on the diagram. What do you get for the values of F1 and F2? What was your rationale in splitting the length into the specific sections 1, 2, and 3? From the geometry indicated on the diagram, what is the length of section 3? Do you need to determine the shear force and bending moment in section 3?
 
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image.jpg
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HHJ said:
View attachment 214968 1. Homework Statement
I have problem solving the bending moment and shear force of a conduit with a curve end. The conduit is lifted in the mid-air with 2 slings and assume it is in equillibrum.

The Attempt at a Solution


Chestermiller said:
I don't see any spam (yet).
 

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Chestermiller said:
I see your notations on the diagram. What do you get for the values of F1 and F2? What was your rationale in splitting the length into the specific sections 1, 2, and 3? From the geometry indicated on the diagram, what is the length of section 3? Do you need to determine the shear force and bending moment in section 3?
The values for F1&F2 =192064.1831Newton. The splitting of the pipe length is because the material and Shape is different. Length of section 3 = 5.985m. Yes i need to determine the whole BM & SF.
 
HHJ said:
The values for F1&F2 =192064.1831Newton. The splitting of the pipe length is because the material and Shape is different. Length of section 3 = 5.985m. Yes i need to determine the whole BM & SF.
There is something wrong with your determination of the length of section 3. The subtended angle is 97.13 degrees, not 90 degrees. Also, the gravitational force is not perpendicular to section 3. The component normal to the pipe in section 3 is g cos (s/R), where s is the arc length along the pipe in section 3. This affects the shear force and moment calculation. How did you determine the center of mass (was this given to you)? Did you check to see if it is correct?
 
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