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Wednesday, 7 December 2022

Derivation of Formula for Calculating Unit Weight of Steel

 Derivation of Formula for Calculating Unit Weight of Steel

 As we know the density of steel = 7850 kg/ m3

Weight of steel per metre  = Volume × Density [ Volume = Area × Length ]

= π/4 x d2× 1000 × 7850 kg/m3 (length = 1000 mm)

= 0.785 × d2× 1000 × 7850 kg / (1000 × 1000 × 1000) [ 1 metre = 1000 mm ]

= 785 x d2× 0.00000785

=  d2/1 × 0.00616225 /1

=  d2/1/0.00616225

=  d2/162.27 ≈

= d2/162 kg/m (say)

So the Formula for unit weight of steel in kg/meter is = d2/162

 

Unit Weight of steel bar per feet = d2/(162.27 x 3.28084)    ( 1 metre = 3.28084 feet)

= d2/532.38 ≈

= d2/533 (say)

=d2/533 kg/feet

 

How do you Calculate the Unit Weight of Steel Bars?

With the help of the formula d²/162 (d is the diameter of the steel bar), we can calculate the unit weight of the steel bars, and it will give us weight in kg per meter. And the formula d²/533 will provide us with weight in kg per foot.

 

 

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