How to calculate unit weight of steel bar


How to calculate unit weight of steel bar?

Steel - Steel is the most versatile commonly used structural material. The essential elements in steel are metallic iron and the element non-metallic carbon, with small quantities of other elements such as silicon, nickel, manganese, chromium and copper. It is thus an alloy. Though steel is usually more than 90% iron, with other elements present in small quantities, these other elements have a pronounced effect on the properties of steel.
                                   Depending upon the chemical composition, different types of steels are classified as:

1. Mild Steel
2. Medium Carbon Steel
3. High Carbon Steel.
4. Low Alloy Steel
5. High Alloy Steel

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                               Out of these, the first three types of steels are known as structural steel, commonly used in steel structures. In Indian standard IS:800-1984(Code of practice for general construction in steel) is applicable to the types of structural steels covered by the following Indian Standard:

1. IS     :     226-1975 Structural Steel(Standard Quality)
2. IS     :     1977-1975 Structural Steel(Ordinary Quality)
3. IS     :     2062-1984 Weldable Structural Steel
4. IS     :     961-1975   Structural Steel(High Tensile)
5. IS     :     8500-1977 Weldable Structural Steel(medium and high strength qualities)

              Steel conforming to IS: 226-1975 is suitable for all types of structures subjected to static, dynamic and cyclic loading, and is suitable for welding up to 20mm thickness. The physical properties of mild steels are as under:

1. Density of Steel                                -      7850 kg/m3
2. Youngs's modulus of elasticity (E)  -  2.04 x 105 Mpa (or N/mm2)
3. Modulus of Rigidity (G)                  -  0.785 x 105 Mpa (or N/mm2)
4. Poisson's Ratio(µ)                            -  0.3 (inelastic rang)
5. Coefficient of thermal expansion or contraction  -   12 x 10-6 per °C or 6.7 x 10-6 per °F

Weight of steel bar per metre length

Weight = Density x Volume      (Volume = Area x Length)
       
Example:-  Dia of Bar = 10mm

Area of circular bar = π/4 x d2

                                 = 3.14/4 x 102

                                 =   78.5 mm2        105

Volume      =    78.5 x 1000                 (1 metre = 1000 mm)

                  =    78500 mm3


Weight of steel    =   (7850/1000 x1000 x1000) x 78500

                             =  0.616 kg

Formula for weight calculation of steel

As we know the density of steel  =  7850 kg/ m3

Weight of steel per metre     =  Volume x Density

                                              =  π/4 x d2 x 1000 x 7850 kg/m3  (length = 1000 mm)  

                                              =  0.785 x d2 x 1000 x 7850 kg/(1000 x 1000  x 1000)

                                             =  785 x d2 x 0.00785

                                             =      d2/1  x  0.00616225 /1

                                            =     d2/1/0.00616225
                                     
                                            =     d2/162.27 ≈

                                            =      d2/162   kg/m     (say)

Weight of steel per feet      =  d2/(162.27 x 3.28084)         (  1 metre = 3.28084 feet)

                                           =   d2/532.38 ≈

                                           =   d2/533 (say) 

                              
 Weight of Bar Per metre Length
       
S.No.
Dia of Bar
 Weight of Bar Per Metre Length(D2/162)
1
8
        0.395
2
10
        0.619
3
12
        0.888
4
16
         1.58
5
20
         2.469
6
25
         1.388
7
28
         4.839
8
32
         6.32
9
40
          9.87
                                 
Weight of Bar Per Feet Length

S.No.
Dia of Bar
 Weight of Bar Per Metre Length(D2/533)
1
8
              0.120
2
10
              0.187
3
12
              0.27
4
16
              0.48
5
20
              0.75
6
25
              0.422
7
28
              1.471
8
32
              1.921
9
40
              3.00
                                 
Also, Read - Difference Between One way and Two-way Slab

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