Pipe Bend Weight Calculator

By:
Patrick Myers
Patrick Myers Patrick Myers is the CEO and Founder of Calculator Academy. He has over eight years of experience developing online calculators and holds a B.S. in Mechanical Engineering. His work focuses on formula implementation, calculator accuracy, unit conversions, and creating practical tools that are easy to use.
Last Updated: October 21, 2026

Calculate pipe bend weight from outside diameter, wall thickness, bend radius and angle for carbon steel, stainless, aluminum or a custom density.

Use actual outside diameter, wall thickness and centerline radius.

Prefilled with 90°, the most common elbow; change it for 45°, 180° or any other bend.

Straight tangents (blank = 0)

Pipe Bend Weight Formula

The general hollow-section formula below estimates finished pipe mass, not the force needed to bend it. Use density ρ in kg/m³, OD, wall t, centerline radius R and straight tangents L₁ and L₂ in meters, and bend angle θ in radians. For a 90° carbon-steel bend at 7,850 kg/m³ with no tangents, the rounded shortcut in the example uses dimensions in mm.

m = ρπ t(OD - t)(Rθ + L₁ + L₂)
  • Where m is the estimated pipe-bend mass (kg)
  • t is the wall thickness (m) in the general formula; T is thickness in mm in the example shortcut
  • OD is the outside diameter (m) in the general formula, or mm in the shortcut
  • R is the centerline radius (m) in the general formula, or mm in the shortcut

What is a Pipe Bend Weight?

Definition:

Pipe bend weight here means the finished pipe’s mass. Multiplying mass by gravitational acceleration gives its gravitational weight, not the force required to form the bend. The model assumes a constant round annular section and excludes forming effects, coatings and manufacturing tolerances.

How to Calculate Pipe Bend Weight?

Example Problem:

The following example outlines the steps and information needed to calculate Pipe Bend Weight.

First, determine the outside diameter of the pipe. For this example, the OD is measured to be 5 mm.

Next, determine the thickness. This pipe has a thickness of 1 mm.

Next, determine the mean radius. The mean radius of the pipe is calculated to be 3 mm.

Finally, for a 90° bend with no straight tangents and carbon-steel density 7,850 kg/m³, use the rounded mm shortcut:

PBW = .0387*T*(OD-T)*R/1000

PBW = .0387*1*(5-1)*3/1000

PBW ≈ .0004644 kg with the rounded shortcut. The general volume formula gives approximately 0.000464858 kg (0.464858 g).

Pipe Bend Weight Calculator screenshot