Understanding Soil Bearing Capacity: Calculations and Bearing Pressure

In construction, understanding the bearing capacity of soil is crucial for designing safe and effective foundations. The soil bearing capacity refers to the maximum load that the ground can support without experiencing failure.

It’s a key factor in ensuring the longevity and stability of structures, from houses to skyscrapers.

This blog post delves into the concept of soil bearing capacity, its calculation, types, and significance in foundation design, providing valuable insights for engineers, architects, and construction professionals.

Summary: Key Takeaways on Soil Bearing Capacity

  • The bearing capacity of soil is essential for determining how much load the soil can support without failure.
  • Factors like soil type, moisture content, and foundation depth influence bearing capacity.
  • Allowable bearing capacity incorporates a factor of safety, ensuring that foundations can safely support structures.
  • Different soil types, such as cohesive soils and granular soils, require distinct approaches to foundation design.
  • Bearing capacity failures can result in shear failures or excessive settlement, both of which compromise the structure’s integrity.
  • Increasing the bearing capacity through soil compaction, stabilization, or deep foundations can help mitigate risks and support heavier structures.

By understanding these concepts, engineers and construction professionals can design safer and more effective foundations, ensuring that structures remain stable for decades to come.


1. What is the Bearing Capacity of Soil?

The bearing capacity of soil is defined as the maximum load per unit area the ground can support without undergoing shear failure. Essentially, it is the ability of the soil to support the weight of a building or structure placed upon it.

Proper assessment of a site’s soil bearing capacity is critical for ensuring safe and efficient foundation design. The capacity varies depending on factors such as soil type, compaction, moisture content, and foundation design.

Understanding the bearing capacity of the underlying soil helps prevent structural issues like sinking, cracking, or even collapse, making it a fundamental concept in civil engineering and construction.


2. How to Calculate the Bearing Capacity of Soil?

The calculation of bearing capacity depends on soil properties, type of foundation, and the load applied. There are various methods for calculating the ultimate bearing capacity of soil, but one of the most common approaches is Terzaghi’s bearing capacity theory. It takes into account factors such as soil cohesion, unit weight of soil, and depth of the foundation.

  • Formula:
    The general formula for the ultimate bearing capacity is: qu=cNc+γDNq+0.5γBNγq_u = cN_c + \gamma DN_q + 0.5 \gamma BN_γqu​=cNc​+γDNq​+0.5γBNγ​
    where:
    • ccc is soil cohesion
    • γ\gammaγ is unit weight of soil
    • DDD is depth of foundation
    • BBB is foundation width
    • Nc,Nq,NγN_c, N_q, N_γNc​,Nq​,Nγ​ are bearing capacity factors that vary with soil type.

Understanding the calculation method is critical in foundation design as it determines the load the soil can safely support, ensuring long-term structural integrity.

To demonstrate how to calculate soil bearing capacity, let’s use Terzaghi’s bearing capacity equation, one of the most common methods used for shallow foundations. Here’s an example calculation based on cohesive soil (clay):

Example:

You have a square footing (foundation) with a width of 1.5 meters, and the depth of the footing is 1.2 meters. The soil type is cohesive clay, and you need to calculate the ultimate bearing capacity.

Given Data:

  • Width of footing (B): 1.5 meters
  • Depth of footing (D): 1.2 meters
  • Unit weight of soil (γ): 18 kN/m³ (kilonewton per cubic meter)
  • Cohesion (c): 30 kPa (kilopascal)
  • Angle of internal friction (φ): 0 degrees (for cohesive clay)
  • Bearing capacity factors:
    • Nc: 5.7
    • Nq: 1.0
    • Nγ: 0 (since φ = 0° for clay, Nγ is zero)

Step 2: Apply Factor of Safety (FOS)

For design purposes, we need the allowable bearing capacity (qa), which is calculated by dividing the ultimate bearing capacity by a factor of safety. Let’s assume a factor of safety (FOS) of 3:
The allowable bearing capacity for the footing on this cohesive clay soil is 64.2 kPa. This is the safe load per unit area that the soil can carry.

 For non-cohesive soils like sand or gravel, the calculation would involve different factors and considerations.

For non-cohesive soils such as sand or gravel, the bearing capacity is calculated using a similar approach to cohesive soils but with different factors. Sand and gravel are non-cohesive, meaning they lack cohesion or stickiness, so the primary factor influencing bearing capacity is the soil’s internal friction angle (φ), rather than cohesion.

We’ll use Terzaghi’s bearing capacity equation again for this example. Let’s calculate the ultimate bearing capacity for a footing on dense sand.

Example:

You have a square footing with a width of 2.0 meters and a depth of 1.5 meters in dense sand.

Given Data:

  • Width of footing (B): 2.0 meters
  • Depth of footing (D): 1.5 meters
  • Unit weight of soil (γ): 19 kN/m³
  • Angle of internal friction (φ): 35 degrees (for dense sand)
  • Cohesion (c): 0 (non-cohesive soil)
  • Bearing capacity factors (for φ = 35°):
    • Nc: 57.8
    • Nq: 41.4
    • Nγ: 42.4

Step 1: Calculate Ultimate Bearing Capacity (qu)

The formula for ultimate bearing capacity for non-cohesive soil (sand or gravel) is:


3. Types of Bearing Capacity

The types of bearing capacity include:

  • Ultimate Bearing Capacity: The maximum pressure that the soil can withstand before failure occurs.
  • Safe Bearing Capacity: The maximum load the soil can support with an adequate factor of safety to avoid any risk of failure.
  • Net Safe Bearing Capacity: The difference between the safe bearing capacity and the load already exerted by the soil above the foundation.

Understanding the different types of bearing capacity helps engineers choose appropriate safety measures, ensuring the foundation is designed to withstand loads safely.


4. What Factors Affect the Bearing Capacity of Soil?

Several factors influence the bearing capacity of soil, including:

  • Soil Type: Different soil types, such as clay, sand, or gravel, have varying bearing capacities. Cohesive soils like clay can support higher loads, while granular soils like sand require careful compaction to improve their load-bearing capacity.
  • Moisture Content: Excessive moisture can reduce the ultimate bearing capacity by weakening soil structure, making it prone to shear failure.
  • Foundation Depth: Deeper foundations generally have higher bearing capacities due to the increase in confining pressure.

These factors must be carefully considered during the design of foundations to ensure that the structure remains stable under expected loads.


5. What is Allowable Bearing Pressure?

The allowable bearing pressure refers to the maximum load that the soil can safely support under working conditions, including a built-in factor of safety. It’s calculated by dividing the ultimate bearing capacity by the appropriate safety factor, typically between 2.5 and 3.

The allowable bearing capacity ensures that the foundation can support the load without causing excessive settlement or failure, protecting the integrity of the structure.


6. Ultimate Bearing Capacity vs. Allowable Bearing Capacity

The key difference between ultimate bearing capacity and allowable bearing capacity lies in safety considerations. The ultimate bearing capacity represents the maximum load the soil can withstand before failure. In contrast, the allowable bearing capacity incorporates a factor of safety to account for uncertainties in soil conditions and construction processes.

This differentiation helps engineers design foundations that not only meet technical requirements but also adhere to safety standards, preventing issues like bearing capacity failure.


7. How Does Soil Type Influence Bearing Capacity?

Soil type plays a critical role in determining the bearing capacity of soil. For example:

  • Cohesive soils like clay can carry significant loads due to their high cohesion, but they are prone to shrinkage and swelling with moisture changes.
  • Granular soils like sand and gravel provide higher bearing capacities when well-compacted but require special attention to ensure adequate bearing pressure under heavy loads.

Understanding the influence of soil properties is essential for assessing the capacity of the soil and making necessary adjustments to the foundation design.


8. Understanding Soil Bearing Pressure and Its Impact on Construction

Soil bearing pressure refers to the pressure exerted by the foundation on the soil beneath it. It’s important to ensure that the pressure is less than the bearing capacity of the underlying soil to avoid structural damage. Properly calculated bearing pressure ensures that the soil can support the structure without excessive settlement or movement.

In cases where soil bearing pressure exceeds the capacity of the soil, failure modes such as bearing capacity failure can occur, leading to uneven settlement or foundation collapse.


9. Common Bearing Capacity Failures in Construction Projects

Bearing capacity failures occur when the bearing pressure exceeds the ultimate bearing capacity of the soil. These failures can manifest as:

  • Shear Failure: When the soil beneath the foundation can no longer support the load, leading to a sudden collapse.
  • Excessive Settlement: This occurs when the soil compresses under load, causing uneven settling of the structure.

Preventing bearing capacity failure requires careful calculation of bearing capacity and appropriate safety factors to account for soil variability and external conditions.


10. How to Increase the Bearing Capacity of Soil?

In some cases, soil may not have the required capacity to support a structure. Several methods can be employed to increase the bearing capacity:

  • Soil Compaction: Compacting the soil increases its density, improving its ability to support loads.
  • Soil Stabilization: Techniques such as adding cement or other stabilizing materials to the soil can enhance its load-bearing capacity.
  • Deep Foundations: If surface soil cannot support the required loads, deep foundations such as piles can be used to transfer the load to stronger soil layers or bedrock.

FAQ

What is soil bearing capacity and why is it important?

Soil bearing capacity refers to the maximum load per unit area that a soil can support without experiencing failure. It is a critical factor in foundation design, as it ensures that structures can be safely supported by the soil beneath them.

If the load from a structure exceeds the bearing capacity of soil, it can lead to excessive settlement or even structural failure. Understanding the types of soil and their respective bearing capacities is essential for engineers and architects in order to design stable and durable foundations.

How do you calculate the bearing capacity of soil?

Calculating the bearing capacity of soil involves several methods, the most common being the bearing capacity theory. The two main formulas used are the Terzaghi and Meyerhof equations. These equations take into account factors such as the type of soil, depth of the foundation, and the weight of the structure.

The ultimate bearing capacity can be determined by factors like the cohesion of the soil (especially in cohesive soil), the angle of internal friction, and the unit weight of the soil. After obtaining the ultimate capacity, a factor of safety is applied to derive the allowable bearing capacity.

What are the different types of bearing capacity?

There are primarily three types of bearing capacity: ultimate bearing capacity, net safe bearing capacity, and allowable bearing capacity. The ultimate bearing capacity is the maximum load that a soil can support without failure.

The net safe bearing capacity considers the pressure exerted by the structure minus any pre-existing loads on the soil. Lastly, the allowable bearing capacity is the net safe bearing capacity divided by a factor of safety to ensure structural integrity. Each type is crucial for different stages of foundation design.

What role does soil type play in determining bearing capacity?

Soil type plays a critical role in determining the bearing capacity of the ground because different soils have varying strength, density, cohesion, and ability to support loads. The bearing capacity of a soil is its ability to support the weight of a structure without undergoing shear failure or excessive settlement

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