Punching Holes in Plate Stress Equations and Calculator

Related Resources: calculators

Punching Holes in Plate Stress Equations and Calculator

Strength of Materials
Machine Design Applications
Engineering and Design Applications

Figure 1
Punching a hole in a plate

Preview Calculator: Punching Holes in Plate Stress Calculator

A punch for making holes in a plate is shown in Fig. a., the average shear stress in the plate is obtained by dividing the force P by the shear area of the plate. The shear area as is equal to the circumference of the hole times the thickness of the plate, or

Equation 1
A_s = π d t

in which d is the diameter of the punch and t is the thickness of the plate.

Therefore, the average shear stress in the plate is:

Equation 2
τ_ave = P / A_s

The average compressive stress in the punch is:

Equation 3
σ_c = P / A_punch

in which punch A is the cross-sectional area of the punch.

Equation 4
A_punch = π d² / 4

References:

Stress-Strain State at a Point of Elastic Deformable Solid, 2010
Editor-in-Chief
Yakiv Karpov
Ministry of Education and Science Ukraine