Deformation of a metal sheet with a tip force applied

In summary: Knife-edge loading occurs when the load is applied at a sharp angle to the surface being loaded. Point loading occurs when the load is applied at a point on the surface.
  • #1
jassie1990
3
0

Homework Statement


Stretch forming[/B]
A 38.1 cm-long sheet with a cross sectional area of 3.2258 cm2 is stretched with a force, F, until alpha = 0.35 rad. The tip of the force is fixed to the strip by some means, thus maintaining the lateral position of the force. (The left portion of the strip will now be strained more than the right portion.) The material has a true stress-strain curve of sigma = 690 * epsilon 0.3
a) find the total work done, ignoring end effects and bending
b) What is alphamax before necking begins?

Homework Equations


epsilon = ln(Lfinal/L0)

The Attempt at a Solution


I can already calculate the work done by taking the integral to epsilon of the true stress-strain curve (which is the work done per unit volume) and thereafter multiplying this by the volume of the metal sheet. The problem is however that I do not know how long the sheet will be (a and b, see images attached) if the force would be attached to the tip and therefore maintaining the lateral position. In the image attached the tip of the force is not attached to the sheet and in the second image a quick drawing of the idea can be seen. It would be great if anyone could help me further!
BDAB0A33-1EF1-4E89-89A9-4779189D56F3.JPG

986B884F-EB1D-48BC-B604-05F8F6A0B7EA.JPG
 

Attachments

  • BDAB0A33-1EF1-4E89-89A9-4779189D56F3.JPG
    BDAB0A33-1EF1-4E89-89A9-4779189D56F3.JPG
    31.6 KB · Views: 404
  • BDAB0A33-1EF1-4E89-89A9-4779189D56F3.JPG
    BDAB0A33-1EF1-4E89-89A9-4779189D56F3.JPG
    31.6 KB · Views: 333
  • 986B884F-EB1D-48BC-B604-05F8F6A0B7EA.JPG
    986B884F-EB1D-48BC-B604-05F8F6A0B7EA.JPG
    14.5 KB · Views: 339
Physics news on Phys.org
  • #2
Is the loading along a knife-edge, or is it really a point load?
 
  • #3
Chestermiller said:
Is the loading along a knife-edge, or is it really a point load?
NEW
It really is a point load! In the example, the load shifts a bit (for example due to lubrication or rollers), but in this case the tip of the force is attached to the sheet.
 
  • #4
jassie1990 said:
NEW
It really is a point load! In the example, the load shifts a bit (for example due to lubrication or rollers), but in this case the tip of the force is attached to the sheet.
How is the tip attached to the sheet?
 
  • #5
Chestermiller said:
How is the tip attached to the sheet?
Any information about how the tip is attached is lacking, it only states that the tip of the force is fixed to the strip 'by some means'
 
  • #6
From their statement of the problem and their method of attack, it is pretty clear that they are describing knife-edge loading, not point loading.
 

1. What is deformation in the context of metal sheets?

Deformation refers to any change in the shape or size of a material, such as a metal sheet, when a force is applied to it. This can include bending, stretching, or compressing the material.

2. What causes a metal sheet to deform when a tip force is applied?

When a tip force is applied to a metal sheet, it creates stress on the material. This stress causes the atoms in the metal to move and rearrange, resulting in a change in the shape or size of the sheet.

3. How does the type of metal affect its deformation under a tip force?

The type of metal used can greatly impact its deformation under a tip force. Some metals, like aluminum, are more malleable and can easily bend under a force. Others, like steel, are stronger and less likely to deform under the same force.

4. What are the factors that influence the amount of deformation in a metal sheet?

The amount of deformation in a metal sheet depends on several factors, including the type of metal, the magnitude and direction of the applied force, and the temperature of the material. The shape, size, and thickness of the sheet can also play a role.

5. How can we measure and quantify the amount of deformation in a metal sheet?

Deformation in a metal sheet can be measured and quantified using various techniques, such as strain gauges, optical methods, or mechanical testing. These methods can provide information about the amount of deformation, as well as the type and extent of changes in the material's properties.

Similar threads

Force needed for hole punch in Metal
    • Introductory Physics Homework Help
Replies
1
Views
1K
Coulomb's Law and Metallic Sheets: Impact on Force Between Charges
    • Introductory Physics Homework Help
Replies
4
Views
986
Understanding the electric force felt by the charges on a sphere
    • Introductory Physics Homework Help
Replies
1
Views
825
B How/Why Is So Much Force Generated In A Bender?
    • Other Physics Topics
Replies
9
Views
2K
Stress-strain (area under curve)
    • Introductory Physics Homework Help
Replies
17
Views
2K
Air Cylinder connected to a Lever that drives a Pulley for Applying Belt Tension
    • Mechanical Engineering
Replies
4
Views
2K
What equipment to measure force applied to ID of pipe?
    • General Engineering
Replies
11
Views
2K
Axial Deformation and Poisson's Ratio Calculation
    • Engineering and Comp Sci Homework Help
Replies
2
Views
3K
Metal Stretch Force Calculation (engineering)
    • Thermodynamics
Replies
1
Views
7K
Virtual work in finite plane bending of Euler-Bernoulli beam
    • Mechanical Engineering
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top