- #1
Myung
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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)?