Calculating Quantity of Steel Using Unit Weight of Steel: A Step-by-Step Guide

Welcome back again to our blog, in this blog we will discuss about the Unit Weight of Steel and quantity of steel. Why it’s important to know the calculation of steel and Weight of steel. Determining the total quantity of Steel is major crucial and important for structural integrity and cost efficiency in any construction project. Thus the unit weight of steel is the most significant paramount for accurate steel quantity estimation, essential for precise budgeting. By ensuring the right amount of steel is available, construction teams can optimize project planning and execution, which can help minimising waste and maximizing safety.

What is unit weight of steel ?

Unit weight of steel

Before we discussed about the steel unit weight, let’s first define out what is unit weight? Unit weight, also known as specific weight is the weight per unit volume of a material. In construction materials, unit weight is crucial as it helps engineers understand how materials behave under different conditions and loads, aiding in structural design and construction planning. Unit weight is calculated by dividing the weight(W) of a material by its volume(V).

The formula is :

Unit weight (γ) = Weight (W) / Volume (V).

The weight is typically measured in kilogram (kg) and the volume is measured in cubic meters(m³). In construction, knowing the unit weight of materials helps ensure structural stability and integrity. It influences decisions related to material selection, design of foundations, estimation of loads and determination of material quantities required for construction projects.

The standard unit weight of steel is typically represented in kg/m³ (kilogramme per cubic metres). The specific value of it depends on the type and grade of steel being used, the unit weight commonly used in construction, is approximately 7850 kg/m³.

Important factors affecting Unit Weight :

  • Amounts of alloy elements like carbon, manganese, silicon etc. greatly influences density of steel.
  • Higher carbon content leads to denser steel due to the increased mass of carbon atoms in the atomic structure.
  • The presence of impurities, such as non-metallic or residual elements from the manufacturing process, can affect the density of steel. Higher purity steel typically has a more consistent and predictable unit weight.
  • Factors like casting method, rolling technique and forging process can influence the density of steel.
  • The conditions under which steel is manufactured, including temperature and pressure, can impact its density.

Applications and Importance :

  1. Structural Design: Engineers and Architects use steel unit weight To calculate the load bearing capacities of the structures. By knowing the weight of steel members such as beams, columns and trusses, they can design buildings, bridges and other structures to withstand different loads & stresses.
  2. Load Calculations: Understanding the unit weight of steel helps structure engineers determine the total dead load of a structure.
  3. Material Selection: The unit weight of steel influences material selection decisions during the design phase. Engineers consider factors like strength-to-weight ratio, stiffness and durability when choosing between different construction materials. Steel’s relatively high strength-to-weight ratio makes it a popular choice for many structural applications.
  4. Foundation Design:When designing tall buildings or heavy structures, it becomes crucial to consider the unit weight of steel due to the increased quantity of steel required. Engineers calculate the total vertical load on foundations, including the weight of steel structural elements to ensure the foundation can support the entire structure safely.
  5. Cost Estimation: Contractors use the unit weight of steel to estimate material costs accurately. By knowing the weight of steel components required for a project, they can calculate material quantities and associated expenses, helping with budgeting and project planning.

Calculations and Examples:

The formulas for calculating the unit weight of steel:

Unit weight (kg/m) = (π×D²×L×ρ) / 4

Where:

  • π is approximately 3.147,
  • D is the diameter of the bar in meters,
  • L is the length of the bar in meters,
  • ρ (rho) is the density, i.e., for steel it is typically 7850 kg/m³,

For example let’s L = 1 meter or 1000 mm,
Then,
Weight of steel bar = Volume of bar (V) x Density of steel (ρ)
= (Cross sectional area of bar A x Length L) x 7850 kg/m³
= ((3.14 x D² x L x 7850 kg/m³)/4
= (3.14 x D²/4 x 1000 x 7850) / (1000 x 1000 x 1000)
= D² x 0.006162
When we reciprocate the decimal, we get = 162.2
So the approximate formula for calculating weight of steel bar:
W = D² L / 162.2

Here:

D is the diameter in mm,

L is the length of the steel bar in meters,

Using this simple formula, the unit weight of 8 mm steel bar would be (approximately):

W =  8² x 1 / 162 = 0.39 kg/m, (here L = 1 m and D = 8 mm)

Similarly we can also find out the unit weight for bars of various diameters. The resulting values are shown in the table below.

Size of Steel BarUnit weight of steel bar (kg/m)Weight of Single Bar (kg)Length of Steel Bar (m)Steel Bar pieces per bundle (No.s)Total Weight of Steel Bar bundle (kg)
80.394.68121046.80
100.617.3212751.24
120.8810.5612552.80
161.5718.8212356.52
202.4629.5212259.04
253.8546.2012146.20
326.3175.7212175.72

Conclusion :

In conclusion, the blog highlighted the significance of understanding the unit weight of steel in construction and engineering. In essence, mastering the unit weight of steel is fundamental for the success of construction and engineering projects. It not only ensures safety and structural soundness but also promotes cost-effectiveness and environmental responsibility in the built environment. Therefore, engineers and construction professionals must prioritize this knowledge in their practice.

Also read,
Navigating Your Career Path: The Importance of Career Counselling
5 Grades of Concrete : Mix Ratios, Proportions, and Applications
Autoclaved Aerated Concrete (AAC) Blocks : Building Beyond Bricks

 

My name is Axay, a Senior Civil Engineer, Blogger and Writer with 3 years of hands-on experience. Sharing insights on civil engineering's practical applications and industry trends. Let's build the future together, one blog post at a time.

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