How Is Shearing Modulus Used to Calculate Force in Punching a Hole in Steel?

Click For Summary
SUMMARY

The discussion focuses on calculating the force required to punch a ½ inch diameter hole in a 1/8 inch thick steel sheet with a shearing strength of 4x10^4 psi. The key equation used is the Shearing Modulus, defined as Shearing Stress divided by Shearing Strain. The user attempts to derive the force using the formula F = A * Shearing Stress, where the area A is calculated as π/4 times the radius squared. However, the user encounters difficulty due to the unknown sheared length (S), which is essential for completing the calculation.

PREREQUISITES
  • Understanding of Shearing Modulus and its formula
  • Knowledge of Shearing Stress and Shearing Strain
  • Familiarity with basic geometry for area calculation
  • Concept of shear strength in materials
NEXT STEPS
  • Research the relationship between Shearing Strength and force calculations in materials
  • Learn how to determine the length sheared (S) in practical applications
  • Explore the implications of varying shearing strengths in different materials
  • Study the application of Shearing Modulus in engineering and material science
USEFUL FOR

Students in mechanical engineering, materials science professionals, and anyone involved in structural analysis or manufacturing processes requiring knowledge of shearing forces.

Myung
Messages
41
Reaction score
0

Homework Statement



How much force is required to punch a hole ½ in. in diameter from a 1/8 in. thick steel sheet of shearing strength 4x10^4 psi.


Homework Equations



Shearing Modulus = Shearing Stress / Shearing Strain

Shearing Stress = F/A
Shearing Strain = S/L

S = Length Sheared
L = Length to be sheared

The Attempt at a Solution


FIND: FORCE IN lb-f

Shearing Modulus = Shearing Stress / Shearing Strain

thus:

shearing modulus ( shearing strain ) = Shearing Stress

4x10^4 PSI * ( S/L ) = F/A

A = ∏/4 (1/2)^2

(∏/4 (1/2inch)^2)*(4x10^4 PSI)*(S)
------------------------------------- = Force
1/2 inch
I don't know what S to use because the length sheared(S) is not given.

Can i still solve the equation without the length sheared(S)?
 
Physics news on Phys.org
JaWiB said:
http://en.wikipedia.org/wiki/Shear_strength


Can you atleast explain to me the relationship of Shearing Strength to this equation and how I can use the value of the Strength of the object to get the force?
 

Similar threads

How Much Force to Punch a Hole in Steel?
  • · Replies 1 ·
Replies
1
Views
2K
Solve Shear Stress Problem: Cartilage Deformed at 7.4°
  • · Replies 7 ·
Replies
7
Views
5K
How Do You Calculate Deflection and Shear Stress in a Tapered Shaft?
  • · Replies 2 ·
Replies
2
Views
3K
Boundary conditions of a bending plate
  • · Replies 4 ·
Replies
4
Views
2K
Calculating Drag Through A Pipe
  • · Replies 1 ·
Replies
1
Views
2K
What is the resistive force without considering buoyancy?
  • · Replies 4 ·
Replies
4
Views
2K
Force needed for hole punch in Metal
  • · Replies 1 ·
Replies
1
Views
2K
Shear modulus, finding length of board
  • · Replies 12 ·
Replies
12
Views
2K
Shearing Modulus/Shearing Strength
  • · Replies 5 ·
Replies
5
Views
10K
Designing Shafts to Withstand Shear Stress
  • · Replies 8 ·
Replies
8
Views
2K