Plate Weight Calculator helps you calculate plate weight from dimensions, thickness, and material density. It automatically computes area, volume, mass, and weight in both metric and imperial units.
About dimensions. Dimensions (width, length, diameter) define the size of the plate in plan. Rectangular plates are described by their width and length, while circular plates use their diameter. Known area can also be used directly for irregular shapes. Dimensions are entered in meters (m) in the metric system or inches (in) in the imperial system.
About thickness. Thickness is the distance between the two faces of the plate. It is a key factor in determining the plate’s volume and weight. Enter thickness in meters (m) in the metric system or inches (in) in the imperial system.
About area. Area represents the two-dimensional surface of the plate. It is calculated automatically from width and length for rectangles or from diameter for circles, or entered directly in Known Area mode. Results are shown in square meters (m²) and square feet (ft²).
About density. Density (ρ) is the mass per unit volume of a material. It is entered in kilograms per cubic meter (kg/m³) in the metric system or pounds per cubic foot (lb/ft³) in the imperial system. Common values are: Steel ≈ 7850 kg/m³, Aluminum ≈ 2700 kg/m³, Copper ≈ 8930 kg/m³, Concrete ≈ 2400 kg/m³, Timber ≈ 700 kg/m³.
About mass and weight. Mass is the amount of matter in the plate, while weight is the force exerted by gravity on that mass. Mass is expressed in kilograms (kg) or pounds (lb). Weight is expressed in kilonewtons (kN) or pounds-force (lbf).
Calculation. The tool uses the plate’s dimensions, thickness, and density to calculate its weight. Area is derived from dimensions, then used to get volume, which is multiplied by density to get mass, and finally by gravitational acceleration to get weight.
Formulas:
- Arect = w × l (area of rectangle)
- Acirc = π × (d/2)² (area of circle)
- V = A × t (volume from area and thickness)
- m = ρ × V (mass from density and volume)
- W = m × g (weight from mass and gravity, where g = 9.80665 m/s²)
Examples:
- Example 1: w = 1.0 m, l = 2.0 m, t = 0.010 m, ρ = 7850 kg/m³ → m ≈ 157.0 kg, W ≈ 1.54 kN
- Example 2: d = 1.0 m, t = 0.020 m, ρ = 2700 kg/m³ → m ≈ 42.4 kg, W ≈ 0.42 kN
- Example 3: A = 1.5 m², t = 0.015 m, ρ = 2400 kg/m³ → m ≈ 54.0 kg, W ≈ 0.53 kN
Corresponding tools. To convert between force and mass units, use the force units converter. To calculate the section properties of structural steel plates, use the Section Properties Calculator.
