Steel weight formula = πD*2/ 4 × L × density, where w = weight of steel, π = 3.14, D = diameter of Steel bar in mm, L= length of Steel bar =1m and density = 7850 kg/ m3.
Steel weight calculation and calculator for steel weight , Steel weight and formula for unit weight calculation , Steel weight per metre , Steel weight per foot , Steel weight per pound , Steel weight per cubic foot Hi guys, in this article we will learn about steel weights, steel weight calculation formula and how to calculate steel weight per metre or foot.
There are different sizes of steel bars supplied by suppliers having a length of 12 meters, how do we calculate the total length of Steel bar in kilograms? Steel is used to form structural members, such as columns, beams, footings, slabs, etc., in buildings.
Unit weight of steel rod reinforcement bar
There are different sizes of steel bars manufactured in India, in Maharashtra, Telangana, Karnataka, Tamilnadu, West Bengal, and major cities like Delhi, Mumbai, Kolkata, Hyderabad, Chennai, Bengaluru, and supply and distribution of steel bars, tmt bars, rebars, steel rods of different sizes, such as 6mm, 8mm, 10mm, 12mm, 16mm, 20mm, 25mm, 32mm, 40mm, etc.
Steel unit weight is defined as the ratio of steel’s weight to its unit volume, which is measured in kilograms (kg) and cubic metre (m3), so its unit weight is equal to its unit mass/unit volume, which is represented by W = m/V, where W is the Steel unit weight and m is the volume. The SI unit of steel is kilogram per cubic metre (kg/m3) and it is also known as the specific weight or density of steel. When you know the Steel Unit Weight, it is easier to calculate the amount of Steel required for your project. Steel is the most commonly used material in civil engineering for structural construction.
Generally, when its measured in kg/m3, its unit weight in kg per cubic meter (kg/m3) is around 7850kg, when its measured in g/cm3, its unit weight in gram per cubic centimeter (g/cm3) is around 7.850 gram, when its measured in kN/m3, its unit weight in kilo Newton per cubic meter (kN/m3) is around 78.50kN, when its measured in lbs/in3, its unit weight in pounds per cubic inch (lbs/in3) is around 0.28 pounds and when its measured in lbs/ft3, its unit weight in pounds per cubic foot (lbs/ft3) is around 490.74 pounds.
The value of Unit Weight of Steel in different units
Various units of Steel Unit Weight are used, including kg/m3, kN/m3, g/cm3, lbs/in3 and lbs/ft3. In Kilograms per cubic metre, it is measured at 78.50kN/m3, in Kilonewtons per cubic metre, it is measured at 7.850g/cm3, in grams per cubic centimetre, 0.28 pounds per cubic inch, in pounds per cubic inch and in pounds per cubic foot, it is measured at 490.059 lbs per cubic foot.
Unit Weight of Steel formula
India measures steel unit weight in kilograms per meter (kg/m) and kilograms per foot (kg/ft), while the US imperial system and EN members measure it in pounds per foot and pounds per cubic inch (lbs/in).
There are two formulas for calculating the unit weight of steel per unit length: D2L/162 and D2L/533. This formula is used to determine the weight of steel bars in kilograms per metre (kg/m), and this formula is used to determine the weight of steel bars in kilograms per foot (kg/ft).
Calculate the Steel Unit Weight of a 10mm Steel bar in kilograms per metre and kilograms per foot, for example.
10mm steel bar weight in kg per meter, given diameter of Steel bar 10mm, length of Steel is 1 metre, then put all value in D^2L/162 formula, weight = (10×10×1)/162 = 0.617kg/m, this is 10mm Steel bar weight in kg per meter.
10mm steel bar weight in kg per foot, given diameter of Steel bar 10mm, length of Steel is 1 foot, then put all value in D^2L/533 formula, weight = (10×10×1)/533 = 0.188kg/ft, this is 10mm Steel bar weight in kg per foot.
How to calculate Steel rod weight
As we know there is a different shape of Steel rod available in market round, circular solid bar, square shaped steel rod, hexagonal bar, etc, steel is most important construction material used in building construction, now question is arises that “how to calculate Steel rod weight”, after knowing the Steel rod weight, it is easy to calculate amount of Steel required for any projects like industrial building construction, high rise building, low rise building, Bridge, dams, schools, hospitals, commercial buildings, etc.
We use some formulas to calculate the weight of steel bars and rods, which are very useful for site engineers, supervisors and the general public.
Weight of Steel rod bars formula
To calculate the weight of Steel rod bars or rod formula are following:-
- for round/circular solid bar – Diamm2 × 0.006165, when it measured in kilogram per metre (kg/m).
- for round/circular solid bar – Diamm2 × 0.004143, when it measured in pounds per foot (lbs/ft).
- for hexagonal solid bar – sizemm2 × 0.006798, when it measured in kilogram per metre (kg/m).
- for hexagonal solid bar – sizemm2 × 0.006165, when it measured in pounds per foot (lbs/ft).
- for square shaped solid bar – sizemm2 × 0.00785, when it measured in kilogram per metre (kg/m).
- for square shaped solid bar – sizemm2 × 0.00527, when it measured in pounds per foot (lbs/ft).
Unit Weight of 6mm Steel rod reinforcement
Due to its thinness, it cannot be used for any structural work, it is only used as wire rod, it is called pencil rod.
Round, circular Steel rod measured in different units, unit weight of 6mm Steel bar measured in Kilogram per meter (kg/m) is around 0.22kg, when its measured in Kilogram per foot (kg/ft), then their weight should be approx 0.067kg, when its measured in pounds per foot (lbs/ft), then their weight should be approx 0.1478 pounds and when its measured in pounds per inch (lbs/inch), their weight should be approx 0.0123 pounds.
Unit Weight of 8mm Steel rod reinforcement
In roof casting and lintel beams, this thin steel bar sizing is used as a distribution bar. It is not suitable for RCC beam and column work.
Steel rod, round/circular, are measured in different units. Approximately 0.390 kilograms per meter (kg/m) is the unit weight of 8mm steel bars, rods, and rebars. If it is measured in kilograms per foot, then it should weigh approximately 0.12 kilograms, when measured in pounds per foot, it should weigh approximately 0.22 pounds, and when measured in pounds per inch, it should weigh approximately 0.0218 pounds.
Unit Weight of 10mm Steel rod reinforcement
Medium steel bars are used in roof casting and lintel beams, but not for RCC work of beams and columns.
In different units, steel bars (round/circular) are measured. The unit weight of a 10mm steel bar/rod/rebar measured in kilograms per meter (kg/m) is around 0.617kg. In kilograms per foot (kg/ft), the weight should be approximately 0.188 kg, in pounds per foot (lbs/ft), it should weigh approximately 0.414 pounds, and in pounds per inch (lbs/inch), it should weigh approximately 0.0345 pounds.
Unit Weight of 12mm Steel rod reinforcement
As a distribution bar, it is used in roof casting and lintel beams, and is the minimum bar size for RCC work.
The unit weight of a 12mm Steel bar, rod, or rebar measured in Kilograms per meter (kg/m), is approximately 0.889kg for a round/circular bar. Approximately 0.271kg should be their weight when measured in Kilograms per Foot (kg/ft), approximately 0.597 pounds should be their weight when measured in pounds per foot (lbs/ft), approximately 0.04978 pounds should be their weight when measured in pounds per inch (lbs/inch).
Unit Weight of 16mm Steel rod reinforcement
Steel bar of 16mm is used for all types of RCC structural work, including beams, columns, foundations, and slabs.
Unit weight of 16mm steel bar/rod/rebar measured in Kilogram per meter (kg/m) is around 1.58 kilograms. If it is measured in kilograms per foot (kg/ft), it should weigh around 0.482 kilograms. When it is measured in pounds per foot (lbs/ft), it should weigh about 1.061 pounds, and when it is measured in pounds per inch (lbs/inch), it should weigh approximately 0.0884 pounds.
Unit Weight of 20mm Steel rod reinforcement
We use 20mm steel bar in all types of RCC structural work, including beams, columns, foundations, and slabs.
Round/circular Steel rod measures in different units, the unit weight of a 20mm steel bar/rod/rebar measured in kilograms per meter (kg/m) is approximately 2.469 kilograms, whereas their weight should be approximately 0.752 kilograms if measured in kilograms per foot. Their weight should be approximately 1.659 pounds when measured in pounds per foot (lbs/ft), and approximately 0.138 pounds when measured in pounds per inch (lbs/inch).
Unit Weight of 25mm Steel rod reinforcement
The 25mm steel bar is used in all types of RCC structural work, including beams, columns, foundations, and slabs.
The unit weight of 25mm steel bars/rods/rebar measured in Kilogram per meter (kg/m) is approximately 3.858kg when measured in Kilogram per meter (kg/m), whereas their weight should be approximately 1.176kg when measured in kilograms per foot (kg/ft). They should weigh approximately 2.592 pounds when measured in pounds per foot (lbs/ft), while they should weigh approximately 0.216 pounds when measured in pounds per inch (lbs/inch).
Unit Weight of 32mm Steel rod reinforcement
In all types of RCC structural work of beams, columns, foundations, and slabs, 32mm steel bar is used.
The unit weight of a 32mm Steel bar/rod/rebar measured in Kilograms per meter (kg/m) is around 6.32kg when measured in Kilograms per foot (kg/ft), while their weight is approximately 1.926kg when measured in Kilograms per foot (kg/ft). When measured in pounds per foot (lbs/ft), their weight should be approximately 4.25 pounds and when measured in pounds per inch (lbs/inch), their weight should be approximately 0.354 pounds.
Why need calculation of unit weight of steel rods
Steel rods come in 12 meter lengths of different sizes like 8 mm, 10 mm, 12 mm, 16 mm, 20 mm, 25 mm, 32 mm, 40 mm, 45 mm, and 50 mm. Therefore, we must convert the length of Steel bar into kilograms.
Uses of steel rod
Steel rods are used in the construction of dams, culverts, bridges, pillars, and other civil engineering projects.
Size of Steel rod
Steel rods come in various sizes like 6mm, 8mm, 10mm, 12mm, 16mm, 20mm, 25mm, and so on. Round bars come in 6,8,10,12,16 diameters and the question is how many bars are in each bundle.
Dia. Number Length
8mm—–10nos—–12m
10mm—-7nos——–12m
12mm—-5nos ——–12m
16mm——3nos—–12m
20mm——2nos——12m
25mm——1nos——12m
32mm——1nos——12m
40mm——-1nos—–12m
45mm——1nos——12m
50mm——1nos——12m
How to calculate unit weight of steel rods
There are two units of weight for steel rods: 1) steel weight per meter in kg and 2) steel weight per foot in kg. Different sizes of steel bars with a length of 12 metres can be calculated using a unique formula. The formula for steel weight is as follows:
There are two types of steel weight calculation formulas: steel weight per metre in kg and steel weight per foot in kg
Formula for steel weight per metre in kg is following:
steel weight =(Dia)*2/162×Length
W =( D)*2 L/162 kg
And formula for steel weight per foot in kg is following
steel weight =(Dia)*2/533×Length
W =( D)*2 L/533 kg
1 foot steel mass/ weight:- 1 foot of 6mm steel weight around is 0.067 kgs, 8mm is 0.120 kgs, 10mm is 0.188 kgs, 12mm is 0.270 kgs, 16mm is 0.480 kgs, 20mm is 0.751 kgs, 25mm is 1.174 kgs and 32mm is 1.925 kgs.
To calculate the unit weight of steel, we use the formula for steel weight per metre or per foot in kg. Weight of 8 mm steel per meter or foot in kg, for example –
8 mm steel weight per meter = (8×8)/162 kg/m
Unit weight of 8mm steel = 0.395 kg/m
Unit weight of 8 mm steel = (8×8)/533 kg/ft
Unit weight of 8 mm steel = 0.12 kg/ft
Unit weight of 8mm Steel per meter is 0.395 kg/m and per foot is 0.12 kg/foot
d2/162 formula derivation for steel rod unit weight per meter
We know that the unit weight of steel bars is 7850 kg/m3 and we have to calculate the unit weight of steel rods in kilograms per metre. This means that 7850 kg is the weight of one cubic metre of steel.
To derive D^2/162
We know weight of steel = volume of steel × steel density and volume = cross sectional area× Length, so weight of steel = cross sectional area × Length × density
Steel weight formula = πD*2/ 4 × L × density, where w = weight of steel, π = 3.14, D = diameter of Steel bar in mm, L= length of Steel bar =1m and density = 7850 kg/ m3.
Putting all the value we get weight = 3.14 × Dmm*2/4 × 1m × 7850 kg/m3, now we have to convert millimetre square into metre square, 1mm^2 = 1/1000m×1/1000m =1/1000000m^2
Calculating this we get weight = 3.14 × D m2/4000000 × 1m × 7850 kg/m3, such as weight = D*2 × 26649/4000000 kg, so weight of steel = D^2 × 0.006162 kg and it can be written as follow weight= D*2/1/0.006162 kg, when we divide 1/0.006162 we get 162 so final weight of steel bars formula kg per metre is weight =D*2 ×L/162 kg/m is derived.
Hence steel unit weight formula for kg per meter is weight =D*2 ×L/162 kg/m
d2/533 formula derivation for steel rod unit weight per foot
We know weight of steel = volume × density, such as w = πD*2/4× L× density, proceed w = 3.14 × Dmm*2/4 × 1ft × 222 kg/ ft3.
As 1mm*2 = 1/ 304.80 × 304.80 ft*2, hence w = (3.14 × Dft × 1ft/ 4 × 304.80 × 304.80) × 222kg/ft3, solving you get w = D*2 × 0.001878 kg/ foot, so weight = D*2/1/0.001878 kg/ foot, hence weight = D^2/ 533 × L kg/ ft formula derived. This formula is used for steel weight calculation per foot.
Steel weight per foot:- weight of steel per foot for 6mm is 0.067 kgs, 8mm is 0.120 kgs, 10mm is 0.188 kgs, 12mm is 0.270 kgs, 16mm is 0.480 kgs, 20mm is 0.751 kgs, 25mm is 1.174 kgs and 32mm is 1.925 kgs
8mm steel rod weight per meter
- find the 8 mm steel weight
8mm steel bar |
-
weight =D2×L/162
1) 8 mm steel weight per meter
Weight=8×8×1÷162=0.39kg
2) 8 mm steel weight for 12m
W=8×8×12÷162=4.74kg
3) 8 mm steel weight for 1bundle
=8×8×12×10÷162=47.407kg
0.39 kg is Unit weight of 8 mm steel per metre,4.74 kg is for 12 meter and 47.407 kg is for 1 bundle 8 mm steel.
10 mm steel rods weight per meter
- how to calculate weight of 10 mm size Steel bar having 12 metre length and 7 number of Steel in one bundle:-
10mm steel bar |
- weight calculation:-
1) 10 mm steel rods weight for 1m =10×10×1÷162=0.617 kg
2) 10 mm steel rods weight for 12m W=10×10×12÷162=7.407kg
3) 10 mm steel rod weight for 1bundle =10×10×12×7÷162=51.85kg
0.617 kg is Unit weight of 10 mm steel per metre,7.407 kg is for 12 meter and 51.85 kg is for 1 bundle 10 mm steel.
12mm steel rod weight per meter
- how to calculate 12mm steel bar weight having length 12 metre and 5 number of steel bar in one bundle:-
- weight calculation:-
1) 12mm steel bar weight for 1m =12×12×1÷162=0.889kg
2) 12mm steel bar weight for 12m =12×12×12÷162=10.667 kg
3) 12mm steel bar weight for1bundle
=12×12×12×5÷162=53.333kg
0.889 kg is Unit weight of 12 mm steel per metre,10.667 kg is for 12 meter and 53.34 kg is for 1 bundle 8 mm steel.
16mm steel rod weight
- weight calculation:-
1) 16mm steel bar weight for 1m W=16×16×1÷162=1.58kg
2) 16mm steel bar weight for 12m W=16×16×12÷162=18.96kg
3) 16mm steel bar weight for 1 bundle
=16×16×12×3÷162=56.889kg
1.58 kg is Unit weight of 16 mm steel per metre,18.96 kg is for 12 meter and 56.889 kg is for 1 bundle 16 mm steel.
20mm steel rod weight
- weight calculation:-
1) 20mm steel weight for 1m W =20×20×1÷162=2.469kg
2) 20mm steel weight for 12m W=20×20×12÷162=29.629kg
3) 20mm steel weight for 1 bundle =20×20×12×2÷162=59.259kg
2.469 kg is Unit weight of 20 mm steel per metre,29.629 kg is for 12 meter and 59.259 kg is for 1 bundle 20 mm steel.
25mm steel rod weight
- weight calculation:-
1) 25mm steel rod weight for 1m W=25×25×1÷162=3.858kg
2) 25mm steel rod weight for 12m W=25×25×12÷162=46.296kg
32mm steel rod weight
- how to calculate weight of 32 mm size of Steel bar having length 12 metre:-
- weight calculation:-
1) for 1m W=32×32×1÷162=6.32kg
2) for 12m W=32×32×12÷162=75.85kg
40mm steel rod weight
- Example 8:-● how to calculate weight of Steel bar size of 40 mm having length 12 metre:-
- weight calculation:-
1) for 1m W=40×40×1÷162=9.876kg
2) for 12 m W=40×40×12÷162=118.518kg
- Example 9
- how to calculate weight of Steel bar of size 45 mm having length 12 metre
- weight calculation:-
1) for 1m W=45×45×1÷162=12.5kg
2) for 12m W= 45×45×12÷162=150kg
- Example 10
- how to calculate weight of Steel bar size 50 mm having length 12 metre
- weight calculation:-
1) for 1m W =50×50×1÷162=15.432kg
2) for 12m W=50×50×12÷162=185.185kg
- in foot calculation and unit weight of steel in kg/ft
formula of weight =D*2/533×L
Kg/Foot
- Note:-
D= diameter of Steel bar in millimetre
L= length of Steel bar in foot=39 foot
Density= 222 kg/ft3
d2/533 derivation
Weight=Volume×density
W=πD*2/4×L×density
W=3.14×Dmm*2/4×1ft×222kg/ft3
1mm*2. =1/304.80×304.80 ft*2
W=(3.14×Dft×1ft/4×304.80×304.80)×222kg/ft3
W = D*2 ×0.001878 kg/foot
Weight=D*2/1/0.001878 kg/foot
- Example 1:-
- how to calculate weight of Steel bar of 8 mm size having length 39 foot and 10 number of steel bar in one bundle-
- weight calculation:-
1) for 1foot
W=8×8×1÷533=0.12 kg
2) for 39 ft W=8×8×39÷533=4.68kg
3) for 1 bundle W= 8×8×39×10÷533=46.80 kg
- Example2
- how to calculate weight of Steel bar having size 10 mm and 39 feet long having 7 number of steel bar in one bundle
- solve:-
1) for 1foot W=10×10×1÷533=0.1876kg
2) for 39 feet W=10×10×39÷533=7.317kg
3)for 1bundle W=10×10×39×7÷533=51.219kg
- Example3
- how to calculate weight of Steel bar having size 12 mm and 39 feet long and 5 number of steel bar in one bundle:-
- solve:-
1) For 1foot W=12×12×1÷533=0.270kg
2) For 39 feet W= 12×12×39÷533=10.53 kg
3) For 1 bundle W=12×12×39×5÷533=52.68kg
- Example 4
- solve:-
1) for 1foot W=16×16×1÷533=0.80kg
2) for 39 feet W=16×16×39÷533=18.73kg
3) for 1bundle W=16×16×39×3÷533=56.195kg
- Example5
- how to calculate the weight of Steel bar size 20 mm having length 39 feet and 2 piece of Steel bar in one bundle
- Solve :-
- solve:-
1) for 1foot W=16×16×1÷533=0.80kg
2) for 39 feet W=16×16×39÷533=18.73kg
3) for 1bundle W=16×16×39×3÷533=56.195kg
- Example5
- how to calculate the weight of Steel bar size 20 mm having length 39 feet and 2 piece of Steel bar in one bundle
- Solve :-
1) for 1foot W=20×20×1÷533=0.75 kg
2) for 39 feet W=20×20×39÷533=29.268kg
3) for 1bundle W=20×20×39×2÷533=58.536kg
Conclusions:-
Steel weighs around 7850 kg/m3, or 78.5 kN/m3, or 7.85 g/cm^3, or 490 pound per cubic foot, or 13231 pound per cubic yard, or which is approximately equal as 0.2833 pound per cubic inch. This is unit weight of steel.
Weight of steel:- if Length of steel in meter, unit weight of steel are in kg/m – 8mm ø bar = 0.395 kg/m, 10mm ø bar = 0.617 kg/m, 12mm ø bar = 0.888 kg/m, 16mm ø bar = 1.580 kg/m, 20mm ø bar = 2.469 kg/m, and 25mm ø bar = 3.858 kg/m.
If Length of steel in feet, unit weight of steel are in kg/ft – 8mm ø bar = 0.12 kg/ft, 10mm ø bar = 0.188 kg/ft, 12mm ø bar = 0.270 kg/ft, 16mm ø bar = 0.480 kg/ft, 20mm ø bar = 0.750 kg/ft and 25mm ø bar = 1.172 kg/ft.
