All about civil construction knowledge- PARAM VISIONS

How to calculate the weight of reinforcement bars?/What is D2/162 in bar weight calculation formula?

 If you are looking for a readymade calculator for finding rebar weight, then click here.

 For the calculation procedure, go through the following steps.👇


The weight of the reinforcement bar is calculated by the formula

    = [volume × density.]


Reinforcement bar.

Now, for the calculation purpose, let us consider the rebar of 12mm. diameter, having 1m. length.

12mm. dia. rebar.

Here, length L = 1m. diameter D = 12mm. and the density of steel is 7850kg/m3

Rebar of 1m. length

The volume of the rebar

           = [cross-sectional area × length]

           = [π ×( D2)/4 × L]

          = [3.142 × ( 0.012 × 0.012) /4 × 1]

          = [3.142 × .000036 × 1]

          = 0.000113 cum.


Weight of the rebar

         = [volume × density]

         = [0.000113 × 7850]

         =0.888 kg/meter.



Alternate method:

Weight of the rebar is given by the formula

          = [(D2) /162]

          = [( 12 × 12 ) /162]

          =144 / 162 

         = 0.888kg /meter.

In the second method, we have calculated the weight easily, but the question that comes to our mind is, 


What is 162 in the reinforcement bar weight calculation formula?

Now, we will do the following step to derive that formula.  

As you know,

Weight of the rebar

         = [cross-sectional area × length × density]

        = [π ×( D2/4) × L × 7850]

       = [3.142 × ( D2/4) × (1×1000 )× 7850/(1000×1000×1000)]


       Here, we have converted length and density into the mm. unit, as the diameter of the rebar is taken in the mm. 

      = [3.142 D2/4 × (0.00785)]

      = [0.006166 D2]

Inversing 0.006166 in the above equation, we get

Weight of the rebar 

     =  D2/162.18 per meter length.


Note:   The diameter of the rebar should be taken in mm. while calculating the weight.

           

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