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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