Physics (Stress & Strain)
A hole 3cm in diameter is to be punched out of a steel plate 8cm thick. The shear stress of the material is 670GPa. What load is required on the punch?
3cm = 0.03m
8cm = 0.08m
Lateral surface area
(As) = pi*D*h
= 3.1416 * .03m * .08m
= 3.1416 * .0024m
= .007539m
Force = Stress * Area
= 670GPa * .007539m
= 5.05113GN
= 5051.13MN
The load required is 5051.1MN.
Is this correct? Thank you.

Shearing stress (tangential stress)
τ=V/A,
where V ia resultant shearing force which passes through the area A being sheared.
V= τA=τ•πdh
Shear force is equal to the punching force P
P=τπdh=
=670•10⁹•3.14•0.03•0.08 =
=5.05•10⁹Pa =5.05GPa
posted by Elena

That is correct.
perimeter of circle x thickness
(pi x d) x 0.08m
pi x 0.03 m x 0.08 m = 0.0075396 m2
stress = load / area
load = stress x area = 670 GPa x 0.0075396 m2
= 670 GN/m2 x 0.0075396 m2
= 5.051532 GN or 5051.532 MN
posted by David
Respond to this Question
Similar Questions

Physics (Stress & Strain)
A hole 3cm in diameter is to be punched out of a steel plate 8cm thick. The shear stress of the material is 670GPa. What load is required on the punch? 3cm = 0.03m 8cm = 0.08m Lateral surface area (As) = pi*D*h = 3.1416 * .03m * 
Physics (Stress & Strain)
A hole 3cm in diameter is to be punched out of a steel plate 8cm thick. The shear stress of the material is 670GPa. What load is required on the punch? First find the area: A = pi*d^2/ 2 = 3.1416 * 3cm^2/ 2 = 3.1416 * 9/ 2 = 
physics
Assume that if the shear stress in steel exceeds about 4.00 108 N/m2, the steel ruptures. (a) Determine the shearing force necessary to shear a steel bolt 1.40 cm in diameter. (b) Determine the shearing force necessary to punch a 
science
A circular hole of 150 mm diameter is to be punch out of a 2 mm thick plate. the shear stress needed to cause fracture is 400 Mpa. calculate the minimum force to be applied to the punch. 
physics
Comicbook superheroes are sometimes able to punch holes through steel walls. (a) If the ultimate shear strength of steel is taken to be 3.00 x 10^9 Pa, what force is required to punch through a steel plate 1.90 cm thick? Assume 
physics
A manufacturer wishes to produce crude benzene models for the chemistry department. The manufacturer plans to do this by punching regular hexagons out of steel. If the steel plate is 0.500 cm thick, What is the minimum shearing 
physics
Comicbook superheroes are sometimes able to punch holes through steel walls. (a) If the ultimate shear strength of steel is taken to be 2.90 109 Pa, what force is required to punch through a steel plate 2.10 cm thick? Assume the 
math
a rectangle whose sides measure 8cm 3cm 8cm and 3cm 
Math
A rectangle prism has a length of 8 cm with 3 cm and height 5 cm what are the dimensions of the horizontal cross section ? A. 8 cm by 5cm B.8cm by 3cm C. 5cm by 3cm D. 8 cm by 8cm 
math
2.8cm+2.8cm+3cm+3cm 1cm+10meters