Model billet and product areas for direct extrusion decisions. Review strain, reduction, and load indicators. Export clear results for production planning and validation tasks.
| Case | Billet Diameter (mm) | Billet Length (mm) | Profile Shape | Exit Size | Flow Stress (MPa) |
|---|---|---|---|---|---|
| Aluminum rod | 120 | 350 | Round | 35 mm | 110 |
| Brass strip | 150 | 420 | Rectangle | 60 × 12 mm | 170 |
| Steel section | 180 | 500 | Custom area | 2400 mm² | 220 |
Billet area: A₀ = πD² / 4, or use a known billet area.
Product area: A_f = πd² / 4, or width × height, or a custom area.
Extrusion ratio: R = A₀ / A_f
Area reduction: Reduction % = (1 − A_f / A₀) × 100
True strain: ε = ln(R)
Ideal pressure: pᵢ = σ × ln(R)
Adjusted ram pressure: p = [pᵢ × process factor × (1 + friction factor)] / efficiency
Ram force: F = p × A₀
Usable volume: V = A₀ × usable billet length
Product length: L = V / A_f
Mass: m = density × volume
These equations are practical screening formulas. Final design should use plant data, tooling limits, and material-specific forming models.
Extrusion ratio matters in every metal forming study. It compares billet area with final profile area. A higher ratio means stronger reduction. It often needs more pressure and force. This calculator helps engineers review those changes fast.
The tool works with round billets, known billet areas, round products, rectangular products, and custom exit areas. That flexibility supports shop estimates and design checks. You can test direct, indirect, or hydrostatic extrusion conditions. You can also add flow stress, friction, discard length, efficiency, and density.
The main result is the extrusion ratio. It is the billet area divided by the profile area. The calculator also shows percentage reduction and true strain. These values explain how severe the deformation becomes. A large true strain usually signals heavier forming work. That matters when choosing press capacity and die design.
The force section gives a practical estimate. It uses mean flow stress and a logarithmic strain term. A process multiplier adjusts the result for direct, indirect, or hydrostatic conditions. A friction factor raises pressure when sliding losses grow. Efficiency corrects the estimate to reflect real equipment behavior. This method is simplified. It is still useful for screening and comparison.
Length and mass outputs add production value. The program converts usable billet volume into possible product length. It also estimates extrudate mass from density. That helps with planning, costing, and order sizing. Discard input is important because butt losses reduce usable metal.
Use this calculator early in process development. Compare several billet sizes before cutting stock. Check whether a target shape creates an extreme ratio. Review the pressure trend before sending work to the press. Then confirm final values with plant data, material curves, tooling limits, and safety rules. Good extrusion planning reduces waste, improves consistency, and supports better engineering decisions.
Engineers can use the example table to benchmark common scenarios. Small changes in exit diameter can shift ratio sharply. That is why area, not linear size, drives the calculation. For hollow or complex profiles, enter the measured net area directly. This keeps the result practical. When production data becomes available, compare predicted force with actual ram load and refine assumptions for future jobs on site.
Extrusion ratio is the billet cross-sectional area divided by the final product area. It shows how much the metal section reduces during extrusion.
No. A higher ratio can improve section reduction, but it usually increases strain, pressure, die loading, and press demand. Balance is important.
True strain uses the natural logarithm of the extrusion ratio. It gives a better deformation measure for metal forming analysis and quick comparisons.
Yes. Enter the measured net exit area as a custom product area. That approach is useful when simple diameter or rectangle dimensions do not apply.
No. It is a practical estimate. Real tonnage depends on temperature, lubrication, tooling, speed, alloy behavior, and plant-specific press conditions.
Discard length removes unusable butt metal from the working billet length. It improves product length and mass estimates for production planning.
Choose direct for common ram-against-billet extrusion, indirect when the die moves into the billet, and hydrostatic for pressure-medium supported extrusion studies.
Yes, but keep them consistent. This version is set up for millimeters, square millimeters, megapascals, and kilograms per cubic meter.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.