How to calculate the weight of a hollow section?

Sep 26, 2025

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Sarah Thompson
Sarah Thompson
I am a quality control expert at Brisk Steel Group, dedicated to maintaining the highest standards of product quality. My role involves rigorous testing and inspection of steel materials to ensure they meet both international certifications and client expectations for durability and performance.

Hey there! I'm a supplier of hollow sections, and I often get asked about how to calculate the weight of a hollow section. It's a pretty common question, especially for those in the construction, manufacturing, and engineering industries. So, I thought I'd put together this blog post to break it down for you.

Why Knowing the Weight Matters

First off, you might be wondering why it's so important to know the weight of a hollow section. Well, there are a few reasons. For one, it helps with transportation. If you're shipping these sections, you need to know how much they weigh to calculate shipping costs accurately. It also matters for structural design. Engineers need to know the weight to ensure that the structure can support the load. And if you're buying or selling hollow sections, knowing the weight helps you determine the price.

The Basics of Hollow Sections

Before we dive into the calculation, let's quickly go over what a hollow section is. A hollow section is a type of metal profile that has a hollow interior. They come in different shapes, like square, rectangular, and circular. These sections are made from various metals, including steel, aluminum, and stainless steel. They're used in a wide range of applications, from building frames to furniture.

The Formula for Calculating Weight

The formula for calculating the weight of a hollow section depends on its shape. Let's start with the most common shapes: square and rectangular.

Square and Rectangular Hollow Sections

The formula for calculating the weight of a square or rectangular hollow section is:

[ W = (A - a) \times L \times \rho ]

Where:

  • ( W ) is the weight of the hollow section (in kilograms)
  • ( A ) is the area of the outer rectangle (in square meters)
  • ( a ) is the area of the inner rectangle (in square meters)
  • ( L ) is the length of the hollow section (in meters)
  • ( \rho ) is the density of the material (in kilograms per cubic meter)

To calculate the areas ( A ) and ( a ), you use the following formulas:

[ A = b \times h ]
[ a = (b - 2t) \times (h - 2t) ]

Where:

  • ( b ) is the outer width of the section (in meters)
  • ( h ) is the outer height of the section (in meters)
  • ( t ) is the thickness of the wall (in meters)

Let's say you have a square hollow section with an outer side length of 0.1 meters, a wall thickness of 0.01 meters, and a length of 6 meters. The density of steel is approximately 7850 kg/m³.

First, calculate the outer area ( A ):
[ A = 0.1 \times 0.1 = 0.01 \text{ m}^2 ]

Then, calculate the inner area ( a ):
[ a = (0.1 - 2\times0.01) \times (0.1 - 2\times0.01) = 0.08 \times 0.08 = 0.0064 \text{ m}^2 ]

Next, find the difference in areas:
[ A - a = 0.01 - 0.0064 = 0.0036 \text{ m}^2 ]

Finally, calculate the weight:
[ W = 0.0036 \times 6 \times 7850 = 168.48 \text{ kg} ]

Circular Hollow Sections

For circular hollow sections, the formula is a bit different. The formula for calculating the weight is:

[ W = \pi \times (R^2 - r^2) \times L \times \rho ]

Where:

  • ( W ) is the weight of the hollow section (in kilograms)
  • ( R ) is the outer radius of the section (in meters)
  • ( r ) is the inner radius of the section (in meters)
  • ( L ) is the length of the hollow section (in meters)
  • ( \rho ) is the density of the material (in kilograms per cubic meter)

To calculate the inner radius ( r ), you use the formula:

[ r = R - t ]

Where:

EN 10210 S355J0H Square Hollow SectionsEN 10210 S355J0H Square Hollow Sections

  • ( t ) is the thickness of the wall (in meters)

Let's say you have a circular hollow section with an outer diameter of 0.1 meters, a wall thickness of 0.01 meters, and a length of 6 meters. The density of steel is still approximately 7850 kg/m³.

First, find the outer radius ( R ):
[ R = \frac{0.1}{2} = 0.05 \text{ m} ]

Then, find the inner radius ( r ):
[ r = 0.05 - 0.01 = 0.04 \text{ m} ]

Next, calculate the difference in the squares of the radii:
[ R^2 - r^2 = 0.05^2 - 0.04^2 = 0.0025 - 0.0016 = 0.0009 \text{ m}^2 ]

Finally, calculate the weight:
[ W = \pi \times 0.0009 \times 6 \times 7850 \approx 133.1 \text{ kg} ]

Online Calculators and Resources

If you don't want to do the math by hand, there are plenty of online calculators available. Just search for "hollow section weight calculator" on your favorite search engine, and you'll find several options. These calculators usually ask for the dimensions of the section and the material type, and they'll give you the weight in no time.

Our Hollow Section Offerings

As a supplier, I offer a wide range of hollow sections. We have EN 10210 S355J0H Square Hollow Sections that are known for their high quality and durability. These sections are suitable for various structural applications. We also have EN 10210 S355J0H HOLLOW SECTIONS in different shapes and sizes to meet your specific needs. And if you're looking for En 10210 Hot Finished Hollow Section, we've got you covered.

Contact Us for Procurement

If you're interested in purchasing hollow sections, I'd love to hear from you. Whether you need a small quantity for a DIY project or a large order for a commercial construction, we can help. Just reach out to us, and we'll discuss your requirements and provide you with a competitive quote.

References

  • "Structural Steel Design Handbook"
  • "Metals Handbook"
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