DERIVATION OF D²/162
We know that D²/162 is being used for calculate unit weight of reinforcement per meter.
Given;
Density of steel bar = 7850 kg/m³ = 7850/1000X1000X1000 kg/mm³.
Length of steel bar = 1m =1000mm.
Weight of bar per meter = {Area of steel X Length of steel bar} X Density of steel
= {(𝝅/4 X D²)X Length of steel bar} X Density of steel
= { 3.14/4 X D² X 1000} X 7850/1000X1000X1000
= D² X 0.785 X0.00785
= D² X 0.00616225
= D²/ (1/0.00616225)
= D²/162.27 ≃ D²/162
= D²/162 Proved
NOTE:This formula is only applicable for circular shape steel bar whose density is 7850 kg/m³.
FORMULA: Weight of steel bar formula = { D²/162 X Length of bar } KG.
(Note: Dia is always in mm & Length of bar is in meter)
Example: Find the weight of steel bar of dia 10mm & length of bar 12m.
Sol: Weight of steel = D²/162 X Length of bar
= 10X10/162 X 12
= 100/162 X 12
=1200/162
= 7.40 Kg.
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