Steel weight is calculated from the steel density, cross-sectional area, and length. For most steel calculations, a density of 7.85 g/cm³ is used to determine the theoretical weight of a steel product.
The basic formula for calculating the theoretical weight of steel is:
W = V × ρ
For products with a uniform cross-section, volume is calculated from cross-sectional area and length:
W = A × L × ρ
Where:
W = theoretical weight
V = volume
A = cross-sectional area
L = length
ρ = steel density
The commonly used density of steel is 7.85 g/cm³, equivalent to 7,850 kg/m³.
When the dimensions are given in millimeters and the length is given in meters, the formula can be converted to kg/m using the corresponding cross-sectional formula. For steel products measured by length, the calculated value in kg/m represents the unit weight or weight per unit length.
| Steel Type | Weight Formula | Unit |
|---|---|---|
| Steel pipe | W = 0.02466 × t × (D − t) | kg/m |
| Round steel | W = 0.006165 × d² | kg/m |
| Rebar | W = 0.00617 × d² | kg/m |
| Square steel | W = 0.00785 × a² | kg/m |
| Flat steel | W = 0.00785 × b × t | kg/m |
| Steel plate | W = 7.85 × t | kg/m² |
| Square tube | W = 0.0157 × t × (A − t) | kg/m |
| Rectangular tube | W = 0.0157 × t × (A + B − 2t) | kg/m |
| Equal angle steel | W = 0.00785 × [t(2b − t) + 0.215(R² − 2r²)] | kg/m |
| Unequal angle steel | W = 0.00785 × [t(B + b − t) + 0.215(R² − 2r²)] | kg/m |
| Channel steel | W = 0.00785 × [hd + 2t(b − d) + 0.349(R² − r²)] | kg/m |
| I-beam | W = 0.00785 × [hd + 2t(b − d) + 0.615(R² − r²)] | kg/m |
Variables
D = outside diameter (mm)
t = wall thickness or section thickness (mm)
d = diameter (mm)
A, B = outside dimensions (mm)
b = flange width (mm)
h = section height (mm)
R, r = outside and inside corner radii (mm)
For a steel pipe with an outside diameter of 60 mm and a wall thickness of 4 mm:
Weight per meter = 0.02466 × 4 × (60 − 4) = 5.52 kg/m
For a 6 m pipe:
Total weight = 5.52 × 6 = 33.12 kg
For a round steel bar with a diameter of 20 mm:
Weight per meter = 0.006165 × 20² = 2.47 kg/m
For a 6 m bar:
Total weight = 2.47 × 6 = 14.82 kg
For a steel plate 2,000 mm long, 1,000 mm wide, and 10 mm thick:
Weight = 7.85 × 10 × 2 × 1 = 157 kg
The result is the theoretical weight based on a steel density of 7.85 g/cm³. Actual weight may vary slightly because of dimensional and material tolerances.
Theoretical weight is calculated from the nominal dimensions and standard steel density, while actual weight is determined by weighing the finished steel product.
| Weight Type | Calculation Basis | Typical Use |
|---|---|---|
| Theoretical Weight | Nominal dimensions and steel density | Weight calculation, estimation and reference |
| Actual Weight | Measured weight of the finished product | Delivery, inventory and final verification |
For most steel weight calculations, 7.85 g/cm³ is used as the standard density. The theoretical result may differ slightly from the actual weight because of manufacturing tolerances, dimensional variations and material conditions.