Bending radius - hollow cylinder

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SUMMARY

The discussion focuses on calculating the bending radius of a hollow cylinder using the formula M/I = σ/y = E/R. Key variables include bending moment (M), area moment of inertia (I), bending stress (σ), distance from the neutral axis (y), modulus of elasticity (E), and radius of curvature (R). The user identifies the bending moment (M) as the product of force and distance, specifically using a force of 70N applied at a distance of 1m. This approach provides a clear method for determining the bending radius based on known parameters.

PREREQUISITES
  • Understanding of bending moment and its calculation
  • Knowledge of area moment of inertia (I)
  • Familiarity with modulus of elasticity (E)
  • Basic principles of material mechanics
NEXT STEPS
  • Research how to calculate area moment of inertia for different shapes
  • Study the relationship between bending stress and material properties
  • Explore advanced applications of the bending moment in structural engineering
  • Learn about the effects of different forces on bending radius in hollow cylinders
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Mechanical engineers, structural engineers, and students studying material mechanics who need to understand the principles of bending in hollow cylinders.

MidnightR
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OK I have no idea how to work this out. I've googled bending radius but it doesn't really help a great deal.

It's the 2nd part of the last question:

http://img535.imageshack.us/img535/4774/10579351.jpg

There's nothing in my notes about it, but I guess it has something to do with how long the force can be applied before fracture occurs. Not sure how that would give the bending radius mind you!
 
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This formula should help

M/I = σ/y = E/R

M = bending moment
I = area moment of inertia
σ = bending stress
y = distance from neutral axis
E = modulus of elasticity
R = radius of curvature.

I would suggest putting M/I = E/R since you know E, and can find M and I.
 
rock.freak667 said:
This formula should help

M/I = σ/y = E/R

M = bending moment
I = area moment of inertia
σ = bending stress
y = distance from neutral axis
E = modulus of elasticity
R = radius of curvature.

I would suggest putting M/I = E/R since you know E, and can find M and I.

I found I, but how do I find M?
 
MidnightR said:
I found I, but how do I find M?

M is the bending moment, which just the force* distance. Your F=70N force is acting at the distance of L=1m.
 

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