Thermoforming Draw Ratio Calculator
Calculate areal and linear draw ratios for thermoformed parts. Estimates wall thinning, minimum wall thickness, and forming feasibility.
About this calculator
Thermoforming stretches a flat, uniformly thick sheet down into a mold cavity, and the sheet doesn't gain any material as it does so — it just spreads thinner. The draw ratio, the ratio of the formed part's total surface area to the original opening's area, is the direct measure of how much stretching happened, and this calculator computes it geometrically for two cavity shapes. For a rectangular box it sums the bottom plus the four trapezoidal side walls (accounting for the mold's draft angle, which shrinks the bottom footprint relative to the opening); for a cylindrical cup it treats the wall as a conical frustum and uses the standard frustum lateral-area formula with the slant height derived from draw depth and the radius difference caused by draft.
Once it has that areal draw ratio, it estimates wall thickness two ways: dividing the original sheet gauge by the full ratio gives a conservative minimum (roughly what the thinnest corners and bottom edges will measure), while dividing by the square root of the ratio gives a more realistic part-average, since material doesn't thin perfectly uniformly. Feasibility is then just a threshold read on the areal ratio — under 2:1 is routine, above 5:1 is pushing (or past) what most sheet materials can survive without tearing or excessive thinning at the corners. A common mixup: draft angle matters more than people expect at deep draws, since it directly changes both the bottom area and the wall's slant length — zero draft is the worst case for thinning, and even a few degrees measurably eases the draw.
Inputs
Results
Areal draw ratio
2.62
Min wall thickness (mm)
0.57
How to Use This Calculator
- Select the Shape from the dropdown, and enter Cavity length (mm) and Cavity width / diameter (mm).
- Set Draw depth (mm), Sheet thickness (mm), and Draft angle (°).
- Review Areal draw ratio and Min wall thickness (mm).
- Use Linear draw ratio (H:W) and Avg wall thickness (mm) to inform your decision.
How the result changes with Draw depth (mm)
| Draw depth (mm) | Areal draw ratio | Min wall thickness (mm) |
|---|---|---|
| 38 | 1.83 | 0.82 |
| 56 | 2.22 | 0.68 |
| 113 | 3.42 | 0.44 |
| 188 | 4.93 | 0.3 |
What each input means
- Shape
- Cavity geometry — determines how the draw ratio and surface area are computed.
- Cavity length (mm)
- Length of the cavity opening.
- Cavity width / diameter (mm)
- Width (box) or diameter (cup) of the cavity opening.
- Draw depth (mm)
- Depth the sheet is drawn into the cavity.
- Sheet thickness (mm)
- Original plastic sheet gauge thickness.
- Draft angle (°)
- Mold draft angle for part release. Typical: 2-5°.
What each result means
- Areal draw ratio
- Ratio of formed surface area to opening area. <3 is typical.
- Linear draw ratio (H:W)
- Depth divided by the smaller opening dimension.
- Min wall thickness (mm)
- Estimated thinnest wall section (at corners/bottom edges).
- Avg wall thickness (mm)
- Estimated average wall thickness of the formed part.
- Max thinning (%)
- Maximum wall thinning as percentage of original sheet.
- Formed surface area (mm²)
- Total surface area of the formed part.
- Opening area (mm²)
- Area of the mold cavity opening.
- Feasibility (1-4)
- 1 = easy, 2 = moderate, 3 = difficult, 4 = likely not feasible.
- Sheet length needed (mm)
- Minimum sheet length including 25mm trim allowance per side.
- Sheet width needed (mm)
- Minimum sheet width including trim allowance.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersShape = 1, Cavity length (mm) = 200, Cavity width / diameter (mm) = 150, Draw depth (mm) = 75 = 6 input(s) provided
- Calculate Areal draw ratio2.623 = 2.623
- Calculate Min wall thicknessMin wall thickness = sheetThickness / arealDrawRatio0.572 = 0.572
- Calculate Linear draw ratioLinear draw ratio0.5 = 0.5
- Calculate Avg wall thicknessAvg wall thickness = sheetThickness / sqrt(arealDrawRatio)0.926 = 0.926
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does draft angle affect wall thinning as much as draw depth does?
The draft offset (drawDepth × tan(draftAngle)) shrinks the bottom footprint relative to the opening and increases the wall's slant length, both of which change the formed surface area and therefore the areal draw ratio. Zero draft is the worst case for thinning in this model, and even a small draft angle measurably reduces the bottom-area loss and eases the draw.
What's the difference between the minimum and average wall thickness this calculator reports?
Minimum wall thickness is sheetThickness ÷ arealDrawRatio, a conservative estimate of the thinnest points — typically the corners and bottom edges where the sheet stretched the most. Average wall thickness is sheetThickness ÷ sqrt(arealDrawRatio), a less severe part-wide estimate, because material doesn't thin perfectly uniformly across the whole formed surface.
How does the surface-area math differ between a rectangular box and a cylindrical cup?
For a rectangular box, the calculator sums the draft-adjusted bottom area plus the four trapezoidal side walls. For a cylindrical cup, it treats the wall as a conical frustum and computes its lateral area from a slant height derived via the Pythagorean relationship between draw depth and the radius reduction caused by draft — a different geometric formula entirely, not just a relabeled box calculation.
Why does the recommended sheet size add a flat 25 mm on each side no matter how big the part is?
Sheet length and width needed are the cavity dimension plus 2 × 25 mm, a fixed per-side trim allowance for the clamping frame that holds the sheet during heating and forming. It isn't scaled to part size, so very small parts will see that allowance dominate the total sheet size while large parts barely notice it.
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