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

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SUMMARY

The discussion focuses on calculating the bending moment and shear force of a curved conduit suspended by two slings, assuming equilibrium. Key equations include the moment formula Mx = W1(L1/2 * x) + Wx(x/2) - F1sin(@)*x, and the differentiation approach dMx/dx = 0. The values for forces F1 and F2 are determined to be 192064.1831 Newtons, and the length of section 3 is specified as 5.985 meters. Participants emphasize the importance of understanding the geometry and forces acting on the conduit to accurately solve the problem.

PREREQUISITES
  • Understanding of bending moment and shear force concepts
  • Familiarity with equilibrium conditions in mechanics
  • Knowledge of curved beam theory
  • Ability to apply differentiation in engineering mechanics
NEXT STEPS
  • Study the principles of curved beam analysis in structural engineering
  • Learn how to calculate shear force and bending moment in non-linear structures
  • Explore the use of free body diagrams for complex geometries
  • Investigate the effects of varying material properties on bending moments
USEFUL FOR

Mechanical engineers, civil engineers, and students studying structural analysis who are involved in the design and analysis of curved beams and conduits.

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
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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