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The unit for the calculated theoretical weight of steel is kilo grams (kg). The fundamental equation is as follows:

W (weight, kg ) = F (cross section area, mm2 )× L (length, m )×ρ(density, g/cm3 )× 1/1000

The density of steel is:7.85g/cm3, the equations for calculating the theoretical weight of different kinds of steel are as follows:

Name (unit) Calculation equation Meaning of symbol Calculation example
Round steelBull rod(kg/m) W= 0.006165 ×d 2 d = diameter mm Round steel with diameter of 100 mm, calculate the weight per m. Weight per m= 0.006165 ×1002= 61.65kg
Deformed steel bar (kg/m) W= 0.00617 ×d 2 d= cross-section diameter mm Deformed steel bar with a cross-section diameter of 12 mm,calculate the weight per m. Weight per m = 0.00617 ×12 2 = 0.89kg
Square bar
(kg/m)
W= 0.00785 ×a 2 a= width of the edge, mm Square bar with width of the edge of 20 mm, calculate weight per m.Weight per m = 0.00785 ×202= 3.14kg
Flat steel
(kg/m)
W= 0.00785 ×b ×d b= width of the edge, mm
d= thickness, mm
Flat steel with width of the edge of 40 mm, and thickness of 5mm, calculate weight per m. Weight per m = 0.00785 ×40 ×5= 1.57kg
Hexagonal bar (kg/m) W= 0.006798 ×s 2 s= distance between opposite edges, mm Hexagonal bar with distance between opposite edges of 50 mm, calculate weight per m. Weight per m = 0.006798 ×502= 17kg
Octagonal steel
(kg/m)
W= 0.0065 ×s 2 s= distance between opposite edges, mm Octagonal steel with distance between opposite edges of 80 mm, calculate weight per m. Weight per m = 0.0065 ×802= 41.62kg
Equal-angle bar (kg/m) W= 0.00785 ×[d (2b – d )+0.215 (R2 – 2r 2 )] b= width of the edge
d= thickness of the edge
R= radius of inner arc
r= radius of end arc
Calculate weight per m of an equal-angle bar with size of 20 mm×4mm. R of the 4mm×20 mmequal-angle bar is 3.5, and r is 1.2, as can be found in the catalogue of metallurgical products, then, weight per m = 0.00785 ×[4 ×(2 ×20 – 4 )+0.215 ×(3.52 – 2 ×1.2 2 )]= 1.15kg
Angle steel with unequal legs (kg/m) W= 0.00785 ×[d (B+b – d )+0.215 (R2 – 2 r 2 )] B= width of the longer edge
b= width of the shorter edge
d= thickness f the edge
R= radius of the inner arc
r= radius of the end arc
Calculate the weight per m of an angle steel with unequal legs with size of 30 mm×20mm×4mm. The R of an unequal angle with size of 30 ×20 ×4 is 3.5, r is 1.2,as can be found in the catalogue of metallurgical products, then weight per m = 0.00785 ×[4 ×(30+20 – 4 )+0.215 ×(3.52 – 2 ×1.2 2 )]= 1.46kg
Channel steel (kg/m) W=0.00785 ×[hd+2t (b – d )+0.349 (R2 – r 2 )] h= height
b= length of the leg
d= thickness of the waist
t= average thickness of legs
R= radius of inner arc
r= radius of end arc
Calculate weight per mof a channel steel of size of 80 mm×43mm×5mm. The t of this channel steel is 8, R is 8, and r is 4, as can be found in the catalogue of metallurgical products, then, weight per m = 0.00785 ×[80 ×5+2 ×8 ×(43 – 5 )+0.349 ×(82–4 2 )]= 8.04kg
Steel I-beam
(kg/m)
W= 0.00785 ×[hd+2t (b – d )+0.615 (R2 – r 2 )] h= height
b= length of legs
d= thickness of waist
t= average thickness of legs
R= radius of inner arc
r= radius of end arc
Calculate weight per m of a steel I-beam of a size of 250 mm×118mm×10mm.Thetofthis I-beam is 13, R is 10, and r is 5 , as can be found in the manual of metallurgical materials, then, weight per m =0.00785 ×[250 ×10+2 ×13 ×(118 –10 )+0.615 ×(102 –5 2 )]= 42.03kg
Steel plate (kg/m2) W= 7.85 ×d d= thickness steel plate of a thickness of 4mm, calculate weight per m2. Weight per m2 = 7.85 ×4= 31.4kg
Steel pipe(including seamless steel pipe and welded steel pipe)(kg/m) W= 0.02466 ×S (D – S ) D= outer diameter
S= thickness of the wall
Seamless steel pipe of an outer diameter of 60 mm and thickness of the wall of 4mm,calculate weight per m. Weight per m = 0.02466 ×4 ×(60 –4 )= 5.52kg




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Related References:
Weight of Steels
Stainless Steel Density Calculation Methods
Calculate of wall thickness of pipe
Calculation of the theoretical weight of steel
Weight Conversion Converter Calculator
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Approximate Weight of Round Square and Hexagonal Steel Bar

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