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

AI Thread Summary
To find the bending moment and shear force of a curved conduit lifted in mid-air, it is essential to start with fundamental principles rather than just plugging numbers into equations. The forces acting on the conduit, specifically F1 and F2, must equal the total weight of the conduit, and the geometry of the curve affects the calculations significantly. The values for F1 and F2 were calculated to be approximately 192,064.18 Newtons, and the length of the curved section was noted as 5.985 meters. It is crucial to correctly account for the gravitational force's angle relative to the pipe and to verify the center of mass for accurate calculations. Understanding these fundamentals will guide the determination of the overall bending moment and shear force.
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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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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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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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