Punch Force Calculator

Find the force needed to punch a round hole in sheet metal, in kN and tons.

🔨 Punch Force Calculator
mm
mm
Punch force
Metric tonnes
US tons
Step-by-step working

🔨 What is the Punch Force Calculator?

The punch force calculator finds the force needed to punch a round hole through sheet metal, based on the hole's perimeter, the material's thickness, and its shear strength. This is a standard calculation performed before selecting a press or die set for a stamping job.

Tool designers, die makers, and manufacturing engineers use this calculation to confirm that a given press has enough tonnage capacity for a job, or to size a new press purchase around the range of parts it needs to produce.

A common mistake is using a material's tensile strength instead of its shear strength in this calculation. Punching is a shearing action, not a tensile one, and shear strength is typically only 70 to 80 percent of tensile strength, so using tensile strength would significantly overestimate, not underestimate, the actual force needed.

This tool is useful because it walks through the full calculation, from perimeter through to the final force in multiple units (newtons, kilonewtons, metric tonnes, and US tons), matching the way press tonnage is typically specified and compared.

📐 Formula

Force  =  π × Diameter × Thickness × Shear Strength
Diameter = diameter of the round hole being punched, in millimeters
Thickness = thickness of the sheet metal, in millimeters
Shear Strength = the material's resistance to shearing, in MPa (N/mm²)
Example: 20 mm hole, 3 mm mild steel (350 MPa) needs 62.83 × 3 × 350 = 65,973 N, about 66 kN.

📖 How to Use This Calculator

Steps

1
Enter the hole diameter, in millimeters.
2
Enter the material thickness, in millimeters.
3
Select the material: mild steel, aluminum, or stainless steel.
4
Read the punch force: in kN, metric tonnes, and US tons.

💡 Example Calculations

Example 1 - 20 mm hole, 3 mm mild steel

1
Perimeter = π × 20 = 62.83 mm
2
Force = 62.83 × 3 × 350 = 65,973 N = 65.97 kN
Punch force = 65.97 kN
Try this example →

Example 2 - 50 mm hole, 2 mm aluminum

1
Perimeter = π × 50 = 157.08 mm
2
Force = 157.08 × 2 × 172 = 54,035 N = 54.04 kN
Punch force = 54.04 kN
Try this example →

Example 3 - 15 mm hole, 5 mm stainless steel

1
Perimeter = π × 15 = 47.12 mm
2
Force = 47.12 × 5 × 450 = 106,029 N = 106.03 kN
Punch force = 106.03 kN
Try this example →

❓ Frequently Asked Questions

How do you calculate punch force for a round hole?+
Multiply the hole's perimeter (pi times diameter) by the material thickness and the material's shear strength. For a 20 mm diameter hole in 3 mm mild steel (350 MPa shear strength), force = 62.83 x 3 x 350 = 65,973 N, about 66 kN or 7.4 US tons.
What is shear strength and how is it different from tensile strength?+
Shear strength is the stress a material can withstand before failing under a sliding, cutting-style force, which is what happens during punching. It is typically 70 to 80 percent of a material's ultimate tensile strength, and using tensile strength instead of shear strength in this formula would significantly overestimate the required force.
What shear strength should I use for mild steel?+
Mild steel typically has a shear strength around 350 MPa (megapascals), though this varies with the specific alloy and temper. Always check the material data sheet for your specific steel grade for an accurate value.
How does material thickness affect punch force?+
Punch force is directly proportional to thickness, doubling the material thickness doubles the required force for the same hole size and material, because more material cross-section must be sheared through.
How does hole diameter affect punch force?+
Punch force is directly proportional to the hole's perimeter, which scales linearly with diameter for a round hole. Doubling the diameter doubles the perimeter and therefore doubles the required punch force at the same thickness and material.
What is press tonnage and why does it matter?+
Press tonnage is the maximum force a punch press can safely deliver, usually rated in tons. Selecting a press with tonnage capacity comfortably above the calculated punch force is essential, running a press at or near its rated capacity accelerates wear and risks stalling or damaging the press.
Does this formula work for shapes other than round holes?+
Yes, with one change: instead of pi times diameter for the perimeter, use the actual perimeter of the shape being punched, whether that is a rectangle, slot, or irregular profile. The force formula (perimeter times thickness times shear strength) remains the same.
Why does aluminum need less punch force than steel for the same size hole?+
Aluminum has a lower shear strength than steel, typically around 172 MPa versus roughly 350 MPa for mild steel, so punching the same size hole through the same thickness of aluminum requires roughly half the force compared to mild steel.
What safety margin should I add to a punch force calculation?+
Many press setup guides recommend selecting a press rated at least 20 to 30 percent above the calculated punch force, accounting for material variation, tool wear, and the stripping force needed to remove the punch from the material after cutting.
Does punch force include the force to strip the slug from the die?+
No. This calculation covers only the shearing force to cut through the material. Stripping force, the additional force needed to pull the punch back out of the material, is typically an additional 2 to 15 percent of the punch force and should be added separately for a complete press tonnage requirement.

How do you calculate punch force for a round hole?

Multiply the hole's perimeter (pi times diameter) by the material thickness and the material's shear strength. For a 20 mm diameter hole in 3 mm mild steel (350 MPa shear strength), force = 62.83 x 3 x 350 = 65,973 N, about 66 kN or 7.4 US tons.

What is shear strength and how is it different from tensile strength?

Shear strength is the stress a material can withstand before failing under a sliding, cutting-style force, which is what happens during punching. It is typically 70 to 80 percent of a material's ultimate tensile strength, and using tensile strength instead of shear strength in this formula would significantly overestimate the required force.

What shear strength should I use for mild steel?

Mild steel typically has a shear strength around 350 MPa (megapascals), though this varies with the specific alloy and temper. Always check the material data sheet for your specific steel grade for an accurate value.

How does material thickness affect punch force?

Punch force is directly proportional to thickness, doubling the material thickness doubles the required force for the same hole size and material, because more material cross-section must be sheared through.

How does hole diameter affect punch force?

Punch force is directly proportional to the hole's perimeter, which scales linearly with diameter for a round hole. Doubling the diameter doubles the perimeter and therefore doubles the required punch force at the same thickness and material.

What is press tonnage and why does it matter?

Press tonnage is the maximum force a punch press can safely deliver, usually rated in tons. Selecting a press with tonnage capacity comfortably above the calculated punch force is essential, running a press at or near its rated capacity accelerates wear and risks stalling or damaging the press.

Does this formula work for shapes other than round holes?

Yes, with one change: instead of pi times diameter for the perimeter, use the actual perimeter of the shape being punched, whether that is a rectangle, slot, or irregular profile. The force formula (perimeter times thickness times shear strength) remains the same.

Why does aluminum need less punch force than steel for the same size hole?

Aluminum has a lower shear strength than steel, typically around 172 MPa versus roughly 350 MPa for mild steel, so punching the same size hole through the same thickness of aluminum requires roughly half the force compared to mild steel.

What safety margin should I add to a punch force calculation?

Many press setup guides recommend selecting a press rated at least 20 to 30 percent above the calculated punch force, accounting for material variation, tool wear, and the stripping force needed to remove the punch from the material after cutting.

Does punch force include the force to strip the slug from the die?

No. This calculation covers only the shearing force to cut through the material. Stripping force, the additional force needed to pull the punch back out of the material, is typically an additional 2 to 15 percent of the punch force and should be added separately for a complete press tonnage requirement.