### Derivation for d2/162

Hello every civil engineers. We know that d2/162  is the formula to find out the weight of circular steel bar per metre length . but some persons don’t know how  is arrived

So I will explain  how this formula is arrived.
Weight of circular shape steel bar per metre length = area x length x unit weight of steel

Unit weight of steel = 7850 kg/m3
Therefore,  weight = πD2/4 x 1000 x ( (7850/1000 x1000 x 1000 ) )
put all the values in ‘mm’
= 0.7854 x D2 x ((7850/1000 x 1000 ))
= D2 x ( ( 6162.25 / 1000 x 1000 ) )
= D2 X 0.006162
= D2 x 1 / (0.006162 )-1
= D2 /162.28
So we take
Weight of steel bar per metre length = D2 /162

Note : why use this step 1 / (0.006162 )-1  . because 0.006162   is equal to 1 / (0.006162 )-1   but 0.006162  is six digit value It is not remember in our mind therefore this step is used for our remembrance.

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