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Calcimator

Blank Size Calculator

Calculate flat blank diameter for deep drawn cylindrical parts from part dimensions and flange width.

About this calculator

This calculator estimates the flat circular blank diameter needed to deep-draw a cylindrical cup or shell -- the sheet metal disc a press starts from before the punch and die form it into a finished part. The underlying principle is surface-area conservation: a flat blank, when drawn into a cup, keeps essentially the same surface area as the finished cylinder-plus-bottom shape it becomes (sheet metal doesn't meaningfully stretch or compress in thickness during a well-controlled draw), so the blank diameter can be solved directly from the part's diameter and depth without simulating the forming process. Part Diameter and Part Depth are the dominant drivers because they set the finished part's surface area directly; Flange Width adds an annular ring of extra material around the rim for parts that need a flat lip after drawing. Drawing Ratio (blank diameter divided by part diameter) is the standard shop-floor check for whether the part can be drawn in a single hit -- ratios above roughly 2.0-2.2 risk wrinkling or tearing and require multiple progressive draws, which Number of Draws Needed estimates from a typical per-draw reduction factor.

What this calculator does NOT account for: Corner Radius is collected as an input but does not change the calculated blank size in this simplified model -- more detailed textbook formulas subtract a small correction term based on corner radius, but that term is a second-order effect next to diameter and depth and its exact coefficient varies by source, so it's kept as a reference input rather than folded into the math. Est. Wall Thinning is a rough drawing-ratio-based heuristic (it scales linearly with how far Drawing Ratio sits above 1.0, capped at 40%), not a strain-analysis result -- it flags how aggressive a draw is, not a precise thickness prediction. Springback, anisotropy, and lubrication/friction conditions -- all of which also affect real-world blank size and wall thickness in production -- are not modeled here.

Inputs

mm
mm
mm
mm

Results

Blank Diameter

210.71 mm

≈ 2 credit cards

Blank with Trim Allowance216.71 mm
Drawing Ratio (D/d)2.11
Number of Draws Needed2
Blank Area36,884.83 mm²
Est. Wall Thinning16.7%
Depth/Diameter Ratio0.75
Part Surface Area31,415.93
How to Use This Calculator
  1. Enter the finished part diameter, draw depth, and corner radius for drawn (cup) parts.
  2. Set flange width if the part has a flange.
  3. Review the calculated blank diameter and blank area.
  4. Use the blank diameter to set up your blanking die and calculate material utilization in the strip.
  5. For complex draws, add 3-5% to blank size and trim after forming -- it's easier to trim than to add material.

How the result changes with Part Diameter

Part DiameterBlank Diameter
50141.07 mm
75177.55 mm
150271.85 mm
250384.58 mm

What each input means

Part Diameter
Inside diameter of the drawn cup or shell.
Part Depth
Depth of the drawn part from rim to bottom.
Corner Radius
Bottom corner radius of the drawn part.
Flange Width
Width of the rim flange (0 if no flange).

What each result means

Drawing Ratio (D/d)
Must be ≤ 2.0 for single draw; higher needs multiple draws.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Part Diameter = 100, Part Depth = 75, Corner Radius = 5, Flange Width = 10 = 4 input(s) provided
  2. Calculate Blank Diameter
    Blank Diameter
    210.71 = 210.71
  3. Calculate Blank with Trim Allowance
    Blank with Trim Allowance
    216.71 = 216.71
  4. Calculate Drawing Ratio
    Drawing Ratio
    2.11 = 2.11

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 the Corner Radius input not change the calculated Blank Diameter?

This calculator uses the basic surface-area-conservation formula for blank diameter, which depends only on Part Diameter, Part Depth, and Flange Width. More detailed deep-drawing references add a small corner-radius correction term to the base formula, but that correction is a second-order effect next to diameter and depth and its coefficient varies by source, so this tool keeps Corner Radius as a reference input for die design without folding it into the blank size calculation.

What does a Drawing Ratio above 2.0 mean for my part?

A Drawing Ratio (blank diameter divided by part diameter) above roughly 2.0 to 2.2 means the material can't be drawn from a flat blank into the finished cup in a single press stroke without wrinkling the flange or tearing the cup wall, so the calculator's Number of Draws Needed output estimates how many progressive draw stages, each incrementally reducing diameter, the part will require. The same ratio also drives Est. Wall Thinning, a rough heuristic equal to (Drawing Ratio − 1) × 15%, capped at 40% -- higher ratios mean a more aggressive draw and thus more sidewall thinning, but treat this as a directional flag rather than a precise strain-analysis figure.

How does adding a flange change the blank size calculation?

Flange Width adds an annular ring of material around the part's rim, and the calculator folds this in by computing an effective flange diameter and adding the area difference between the flanged and unflanged circles to the base blank-diameter formula. A wider flange increases Blank Diameter because more material must be reserved for that rim before the part is drawn.

Does increasing Part Depth always increase the Blank Diameter?

Yes -- across this calculator's full input range, deeper parts always require a larger blank, because more material is needed to form the taller cylindrical wall. Blank Diameter grows with the square root of depth's contribution rather than linearly, so doubling Part Depth does not simply double the resulting Blank Diameter.

Is this the same blank size a die designer would actually cut steel to?

It's a solid first-pass estimate, not a final die dimension. Production blank sizing also folds in the material's specific anisotropy (r-value), friction and lubrication conditions, springback, and shop-specific trim practice, all of which shift the final blank size by a few percent from this simplified geometric calculation -- treat this output as a tryout starting point, not a number to cut hardened tooling to without a trial draw.

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