Unit Weight of steel is D2/162 and how is it derived?

Unit Weight of Steel

Unit Weight of steel is D2/162 and how is it derived ?

* introduction:- generally density of steel is 7850 kilogram per cubic metre and stainless steel generally vary in weight and density like 7480 to 8000 kilogram per cubic metre according to their composition. In this topic we know about weight of Steel bar  and it’s formula D square/162.

Unit Weight of Steel
Unit Weight of Steel

* why need derivation of this formula:- many of students ask to know about weight of Steel bar and its formula deriveration. And we know that for the estimate of reinforce concrete length of Steel bar is required how we know about weight of Steel bar.

* Unit Weight of Steel:– generally weight of steel is calculated in kilogram per metre. We have a formula how to calculate Unit Weight of Steel bar that is

Weight = D2L/162.

* formula derivation:-
Weight =volume×density

Weight= cross sectional area × length of Steel)× density of steel

Weight = πD2/4× density

π (pai) =3.14

D=Diameter of Steel in millimetre

d = density of steel =7850kg/m3
W= weight of Steel in kilogram
L= length of Steel in metre=1meter

Before putting all the value we should Convert millimetre into metre.

1mm =1/1000 m

Putting all the value we get

W=3.14×D2/(4×1000×1000)×1×7850 kg/m

W=D2×26649/4000000 kg/m

W=D2×0.006162 kg/m

This value we can written as follow

W= (D2/1/0.006162) kg/m

Solve 1/0.006162 =162.2

Rounding off we get 162.2~162

Weight = D2/162 kg/m

*Result:- So we get the formula for the unit weight calculation of Steel bar that is

Weight = D2/162 kg/m

Weight = D2L/162 kg/m

 

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*(Q1) Unit Weight of 8 mm Steel bar having length 1 metre

Weight = (8×8×1)/162= 0.395 kg/m

*(Q2) Unit Weight of 10 mm Steel bar having length 1 metre

Weight = (10×10×1)/162 =0.617 kg/m

*(Q3) Weight of 12 mm Steel bar having length 1 metre

Weight = (12×12×1)/162 = 0.889 kg/m

*(Q4) Unit Weight of 16 mm Steel bar having length 1 metre

Weight = (16×16×1)/162 = 1.58 kg/m

*(Q5) How to calculate weight of 20 mm Steel bar having length 1 metre

Weight = (20×20×1)/162 =2.469 kg/m

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