Bend Allowance Calculator

Find the bend allowance for sheet metal forming.

Bend allowance 9.236

Formula: BA = (θ·π/180)·(R + K·t)

Step-by-step with your numbers:
1. Values used:
2. Bend angle = 90 °
3. Inside radius = 5
4. Material thickness = 2
5. K-factor = 0.44
6.
7. Bend allowance = 9.236
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Bend allowance is the arc length of the neutral axis through a sheet-metal bend.

How the Math Works

The Bend Allowance Calculator uses the formula BA = (θ·π/180)·(R + K·t) to determine the length of material required to form a bend in sheet metal. Here, θ represents the bend angle in degrees, which is converted to radians via (θ·π/180) for trigonometric calculations. R is the bend radius (distance from the bend's centerline to the material's edge), t is the material thickness, and K is the K-factor, a dimensionless constant representing the ratio of the neutral axis shift to thickness. The term (R + K·t) calculates the effective radius at the bend's neutral axis, accounting for material stretching and compression. Multiplying these components yields the bend allowance, the precise length of the bend arc needed for accurate forming.

Practical Applications

To apply this calculation, engineers or fabricators first measure the bend angle θ, inner radius R, and material thickness t. The K-factor must be determined empirically or referenced from material-specific tables, as it varies with material type, bend method, and tooling. For example, when creating a sheet metal bracket, the calculated bend allowance is added to the flat pattern dimensions to ensure the final bent part matches the design. This prevents cumulative errors in multi-bend parts, where inaccuracies can compound. The calculator streamlines this process, enabling precise cuts and bends that meet specifications without trial-and-error adjustments.

Day-to-Day Use

In everyday life, this calculator ensures the seamless production of countless products, from automotive components like car panels to household appliances and electronics enclosures. By accurately predicting bend allowances, manufacturers minimize material waste, reduce production time, and avoid costly rework. For instance, correctly formed sheet metal parts ensure appliances fit snugly in cabinets or devices assemble without alignment issues. This precision also enhances safety, as structural components in vehicles or machinery maintain their integrity when bent to exact specifications. Ultimately, the calculator bridges design intent and real-world execution, making everyday products more reliable and cost-effective.

Worked example

90° bend, 5 mm radius, 2 mm thick, K 0.44 → about 9.24 mm.

FAQ

Why does it matter?

It sets the flat blank length so the part bends to the right final size.