⚙️ Structural Steel

Steel Weight Calculator — Rebar Weight Formula d²÷162

Calculate steel bar weight per metre, per bar, and total tonnage for any diameter and quantity. Uses the standard engineering formula W = d²/162 × L.

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Steel Weight Calculator

Weight per Metre · Per Bar · Total Kg · Total Tonnes

Quick click to select diameter:

6 mm
0.222 kg/m
8 mm
0.395 kg/m
10 mm
0.617 kg/m
12 mm
0.888 kg/m
16 mm
1.578 kg/m
20 mm
2.469 kg/m
25 mm
3.858 kg/m
32 mm
6.313 kg/m
Or click a size above
Standard bar = 12 m (40 ft)
Laps + cutting waste: 5–8%

📊 Results

✅ Calculated
kg/m
Weight per Metre
kg
Weight per Bar
kg
Total Weight
tonnes
Total Tonnage
m
Total Length
PKR
Est. Cost

Enter different bar sizes with their quantities:

📊 Multi-Bar Results

✅ Calculated
kg
Grand Total
tonnes
Total Tonnes

Calculate cutting length for bent bars (stirrups, links, hooks):

📊 Cutting Length Results

✅ Calculated
mm
Length per Bar
m
Total Length
kg
Total Weight

📐 Steel Weight Formula — d²÷162 Explained

The standard formula for calculating the weight of a steel reinforcement bar is derived from the density of steel and the cross-sectional area of a circular bar.

W (kg/m) = d² ÷ 162 Where: W = Weight of bar per metre length (kg/m) d = Diameter of bar in millimetres (mm) Derivation: Area of bar = π/4 × d² (mm²) Density of steel = 7850 kg/m³ = 7850 × 10⁻⁶ kg/mm³ Weight per mm = Area × density = (π/4 × d²) × 7850 × 10⁻⁶ Weight per m = Weight/mm × 1000 = π/4 × d² × 7850/1000 = 0.006165 × d² ≈ d² / 162.2 → simplified to d²/162 Total Weight = (d²/162) × Length(m) × No. of Bars × (1 + Waste%)
The 162 constant is a simplified version of 1000/(π/4 × 7850) = 162.2. This formula is used universally across Pakistan, India, Saudi Arabia, UAE, and throughout engineering worldwide.

📋 Standard Steel Bar Weights — All Diameters

This reference table gives the weight per metre for all standard rebar sizes used in Pakistan and Gulf construction. Memorise the key values: 12mm = 0.888 kg/m, 16mm = 1.578 kg/m, 20mm = 2.469 kg/m.

Diameterd²/162 (kg/m)Weight/12m barCommon Use in Pakistan
6 mm0.222 kg/m2.67 kgStirrups, ties, light mesh
8 mm0.395 kg/m4.74 kgStirrups, slab distribution bars
10 mm0.617 kg/m7.40 kgSlab bars (short spans), footing ties
12 mm0.888 kg/m10.67 kgSlab main bars, beams (light)
16 mm1.578 kg/m18.94 kgBeam main bars, column ties
20 mm2.469 kg/m29.63 kgBeam main bars, column main bars
25 mm3.858 kg/m46.30 kgHeavy beams, large columns, raft
32 mm6.313 kg/m75.76 kgLarge columns, heavy industrial
40 mm9.877 kg/m118.5 kgMassive foundations, bridges

✂️ Cutting Length Formulas for Standard Shapes

These are the standard formulas used by bar benders and structural engineers to calculate the actual length of steel required after bending.

ShapeFormulaNotes
Rectangular Stirrup2(A+B) − 8d + hook allowanceA, B = inner dimensions. Hook = 9d each end
Circular Stirrupπ × (D−2c) + hook allowanceD = column dia, c = cover. Hook = 9d each
Standard 90° HookStraight length + 9dPer IS 456 / BS 8666
180° Semicircle HookStraight length + 12dPer IS 456 / BS 8666
Cranked / Bent BarL + 0.42d per crank45° crank length allowance = 0.42d
L-shaped / Corner BarLeg1 + Leg2 − 2dSubtract 1d per 90° bend
💡 Quick rule: For every 90° bend, deduct 2d from total straight length. For every 45° bend, deduct 1d. This accounts for the elongation of the bar during bending.

🇵🇰 Steel Prices in Pakistan — 2025 Market Rates

Reinforcement steel (rebar/sariya) prices in Pakistan fluctuate based on global steel prices, import duties, and local demand. These are approximate rates as of early 2025.

Brand / TypePrice per TonnePrice per 40ft Bar (12m)Grade
Amreli Steel (12mm)PKR 2,20,000–2,40,000PKR 195–213 (12mm)Grade 60 / Fe500
Mughal SteelPKR 2,15,000–2,35,000PKR 191–209 (12mm)Grade 60 / Fe500
Ittefaq SteelPKR 2,10,000–2,30,000PKR 186–204 (12mm)Grade 60
AF SteelPKR 2,00,000–2,20,000PKR 178–195 (12mm)Grade 40/60
Local / Foundry SteelPKR 1,80,000–2,00,000Lower qualityGrade 40 (approx)
⚠️ Always buy Grade 60 (Fe500) or Grade 40 (Fe415) steel from certified manufacturers for structural work. Local foundry steel has unknown strength and should only be used for non-structural purposes.

How to Check Steel Quality on Site

  • Check for manufacturer's rolling mark on the bar (brand name + grade embossed)
  • Weigh a sample bar — should match d²/162 per metre within ±5%
  • Bend test: bend 12mm bar 180° — should not crack on the outer radius
  • Request Mill Test Certificate (MTC) from supplier for large orders

❓ Frequently Asked Questions

Weight = d²/162 × L = (12×12)/162 × 12 = 144/162 × 12 = 0.888 × 12 = 10.67 kg per bar. A bundle of 10 bars = 106.7 kg. This is one of the most important values to memorise — 12mm bars are the most commonly used size in residential construction in Pakistan.
1 tonne = 1000 kg. Weight per 12mm bar (12m length) = 10.67 kg. Number of bars = 1000 ÷ 10.67 = 93.7 bars ≈ 94 bars per tonne. For ordering: specify "1 tonne of 12mm sariya" and expect approximately 94 bars of 12 metre length. Always ask for the actual count from the supplier for verification.
Per IS 456 and standard Pakistan practice: Minimum steel in a slab = 0.12% of cross-sectional area for Fe415/Fe500. For a 125mm thick slab: Ast(min) = 0.12/100 × 1000 × 125 = 150 mm²/m width. This equals approximately 10mm bars @ 520mm c/c or 8mm bars @ 330mm c/c. In practice, Pakistani residential slabs typically use 10mm or 12mm bars @ 150–200mm spacing.
Grade 40 (Fe415): Yield strength = 415 MPa (60,000 psi) — used for light residential work. Grade 60 (Fe500): Yield strength = 500 MPa (72,500 psi) — used for structural RCC in buildings, bridges, and commercial construction. Grade 60 is stronger but costs slightly more. In Pakistan, both Amreli and Mughal produce Grade 60 steel marked as "G-60" or "Fe500" on the bar rolling marks.