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# Calculation formula of theoretical weight of hexagonal bar

According to the dimension, shape, weight and allowable deviation of hot rolled steel bar (GB / T702-2008), the distance between the opposite sides of hot-rolled hexagons is 8mm ~ 70mm, which is generally delivered according to the actual weight or the theoretical weight in the market.

## Calculation formula for theoretical weight of hexagonal bar

W =0.006798×d2

Where W is the theoretical weight in kg / M and D is the distance from the opposite side in mm.

## Calculation example of theoretical weight of hexagonal bar

For example, calculate the theoretical weight of hexagonal bar with the opposite side distance of 50 mm, i.e

W =0.006798×502=17（kg/m）

## Cross section diagram of hexagonal bar ## Actual drawing of hexagonal bar  ## Theoretical weight table of hexagonal bar (GB / T 702-2008)

 Specifications (mm) Theoretical weight (kg/m) 8 0.435 9 0.551 10 0.680 11 0.823 12 0.979 13 1.05 14 1.33 15 1.53 16 1.74 17 1.96 18 2.20 19 2.45 20 2.72 21 3.00 22 3.29 23 3.60 24 3.92 25 4.25 26 4.60 27 4.96 28 5.33 30 6.12 32 6.96 34 7.86 36 8.81 38 9.82 40 10.88 42 11.99 45 13.77 48 15.66 50 17.00 53 19.10 56 21.32 58 22.87 60 24.50 63 26.98 65 28.72 68 31.43 70 33.30

## Calculation of the Theoretical Weight of Steel Chart

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

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

The density of stainless 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 steel Bull rod (kg/m) W= 0.006165 ×d² 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 ×d² 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 ×a² 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 ×s² 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 ×s² 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 Iron (kg/m) W= 0.00785 ×[d (2b – d )+0.215 (R² – 2r² )] 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 Iron with unequal legs (kg/m) W= 0.00785 ×[d (B+b – d )+0.215 (R² – 2 r² )] 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 – r² )] 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 – r² )] 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

Source: China Steel Bar Manufacturer – Yaang Pipe Industry Co., Limited (www.steeljrv.com)

(Yaang Pipe Industry is a leading manufacturer and supplier of nickel alloy and stainless steel products, including Super Duplex Stainless Steel Flanges, Stainless Steel Flanges, Stainless Steel Pipe Fittings, Stainless Steel Pipe. Yaang products are widely used in Shipbuilding, Nuclear power, Marine engineering, Petroleum, Chemical, Mining, Sewage treatment, Natural gas and Pressure vessels and other industries.)

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Calculation formula of theoretical weight of hexagonal bar
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According to the dimension, shape, weight and allowable deviation of hot rolled steel bar (GB / T702-2008), the distance between the opposite sides of hot-rolled hexagons is 8mm ~ 70mm, which is generally delivered according to the actual weight or the theoretical weight in the market.
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