AIEngineeringTool

Shape Weight Calculator

Calculate theoretical weight for bars, tubes, plates and structural sections using a reviewed reference or your controlled density value.

LIVE SECTION WEIGHT

Choose material, shape and stock dimensions

All calculations update live. Input values are normalised before the geometry and mass calculation is evaluated.

1 · MATERIAL AND UNITS
Database density · reviewed reference7,850 kg/m³ · 1.0561 lb/in³General low-carbon steel · Steel
2 · SHAPE

Popular shapes

3 · SECTION DIMENSIONS
4 · LENGTH AND QUANTITY
Quick lengths

LIVE 2D CROSS-SECTION

Round bar · live nominal geometryØ 50 mmCross-sectional area = 1,963.4954 mm²Diameter: 50 mmResponsive drawing auto-scales to the selected section geometry

The drawing uses nominal sharp-corner geometry where a radius is not an input. It is a calculation view, not a fabrication drawing.

THEORETICAL WEIGHT RESULTS

Live mass summary

TOTAL WEIGHT92.481kg0.0925 t · 203.88 lb
Cross-sectional area1,963.495mm²
Length6m
Quantity1pieces
Weight per metre15.413kg/m
Weight per piece92.481kg
Total volume0.011781m³
✓
Database Density basis

The selected reference density is used automatically. Confirm product-specific density, coatings and any internal features where actual mass is critical.

MaterialMild Steel
GradeGeneral low-carbon steel
Density7,850 kg/m³
FamilySteel
View Material Details →

ENGINEERING PRINCIPLE

Geometry determines volume; density determines mass

Theoretical weight is calculated from the geometric volume of the selected profile multiplied by the material density.

Mass = Volume × DensityVolume = Cross-sectional Area × LengthA = πd² / 4

A is the nominal cross-sectional area, L is stock length and ρ is density. Area is calculated in mm², converted to m³ for volume, then multiplied by kg/m³ density. Quantity multiplies only the per-piece result.

FORMULA AND DATA BASIS

Traceable nominal section model

Formula: A = πd² / 4; V/m = A × 10⁻⁶; m = ρV

Reference: Elementary geometry and m = ρV; NIST SP 811 for SI and exact foot conversion.

Internal units: Cross-sectional area in mm²; volume per metre in m³/m after ×10⁻⁶; density in kg/m³.

Scope: Nominal sharp-corner geometry only where radii are not entered; manual, source-controlled density is required.

THEORETICAL WEIGHT NOTICE

Check the actual supplied product

The calculated weight is a theoretical engineering estimate based on nominal dimensions and the selected material density. Actual weight may vary due to dimensional tolerances, material composition, manufacturing processes, coatings and applicable product standards. Verify actual product data where weight is critical.

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SAVE AND REPORT FOUNDATION

Prepared for a traceable project workflow

Save calculation, print result, download PDF and add-to-project actions will be connected when secure project storage and report approval workflows are released. No placeholder export is presented.

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