Calculate Min Drum Diameter for Copper Strip 4mm Thick, max Stress 332MN/m2

  • Thread starter Thread starter wock
  • Start date Start date
  • Tags Tags
    Beams Bending
Click For Summary
SUMMARY

The minimum diameter of a drum for winding a 4mm thick copper strip, ensuring that the maximum bending stress does not exceed 332 MN/m², is calculated using the formula for radius of curvature. Given the modulus of elasticity (E) of copper as 95 GN/m², the derived radius of curvature (ρ) is approximately 1.7m. Consequently, the minimum drum diameter is 3.4m, as the diameter is twice the radius. The calculation confirms that the bending stress remains within the specified limits.

PREREQUISITES
  • Understanding of bending stress and its calculations
  • Familiarity with material properties, specifically for copper
  • Knowledge of modulus of elasticity (E) in material science
  • Basic algebra and manipulation of equations
NEXT STEPS
  • Study the relationship between bending stress and radius of curvature in material mechanics
  • Explore the properties of copper, including its elasticity and tensile strength
  • Learn about the applications of bending stress calculations in engineering design
  • Investigate the effects of different thicknesses on the minimum drum diameter for various materials
USEFUL FOR

Mechanical engineers, materials scientists, and students involved in structural design and analysis, particularly those focused on stress calculations in material applications.

wock
Messages
3
Reaction score
0

Homework Statement


3. Calculate the minimum diameter of drum on which copper strip 4mm thick may be wound if the maximum bending stress is not to exceed 332MN/m2.
Assume E = 95 GN/m2


σ /(yxE)=r

Homework Equations





The Attempt at a Solution



would this work if so i make it 1.7m aprox
 
Last edited:
Physics news on Phys.org
I believe you need to invert that answer. The form I am used to seeing is

[tex]\frac{1}{\rho}=\frac{\sigma_{max}}{E*c}[/tex]

Where rho is the radius of curvature.
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
Replies
9
Views
3K
  • · Replies 2 ·
Replies
2
Views
7K
  • · Replies 17 ·
Replies
17
Views
5K
Replies
6
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 8 ·
Replies
8
Views
2K