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In what way is the formula (D²/162) for computation of rebar for each metre mass obtained?

As the formula to be calculated is d²/162, supposed representative sample (cross section) is spherical (circular) and the component is cylinder.

Steel density = 7850 kg/m³

Method –
Density = Mass / Volume
Mass = Density x Volume

Cylinder volume = πhd²/4
‘h’ is the cylinder bar height = 1 m
‘d’ is diameter in millimetre

Volume = 3.14/4 x d² x 10^-6 (changed millimetre to metre twice for d)
Cylindrical bar volume = (7.85 x 10^-7) d² m³
Cylindrical bar mass = 7850 x 7.85 x 10^-7 x d²

= 0.00616 x d²
= d² / (0.00616^-1)
= d² / 162.3
= d² / 162

As the entity of d is changed into the method from millimetre to meter, the diameter quantity can be utilized to determine quantity per metre. For instance:

26 mm diameter bar
676/162 = 4.17 kilograms

Article Source: www.quora.com

To learn the detail calculation process, watch the following video tutorial.

Lecturer: L & T - Learning Technology