# What Is the Shear Strength of Soil? [Tests & Formula]

by Andrew Lees, on 04-Mar-2021 03:44:45

Knowing the shear strength of soil is key for ground engineers and is vital to any design project. At some point, everything that is built makes contact with the ground – and transfers load into it. Understanding what influences the strength of a soil and quantifying it, are always the first steps to be taken during the design phase.

In this guide, we’ll first explore what is meant by the shear strength of soil and its importance, before looking at the influence of groundwater and the impact of soil state on the shear strength of soil. Finally, we’ll discuss soil shear strength tests and the formula for calculating it.

## What exactly is meant by the shear strength of soil?

The shear strength of soil determines its resistance to deformation by tangential (or shear) stress. Soil that has greater shear strength will have more cohesion between particles and more friction or interlocking to prevent particles sliding over each other. Soil shear strength is used to calculate bearing capacity and design retaining walls, slopes and embankments.

## The importance of the shear strength of soil

Understanding the shear strength of soil is vital in geotechnical engineering. It enables us to work out the ground bearing capacity when designing building foundations, pavements or temporary access roads – equally, soil shear strength indicates how stable retaining walls, slopes and embankments will be.

Without first determining soil shear strength, it is impossible to know how geotechnical design projects will respond to different amounts of load and shear stress. As a result, engineers must understand the shear strength of soil (along with its other properties) to prevent structures from failing.

Soil shear strength can be increased by mechanical and chemical processes, as well as through the use of reinforcing materials. For example, engineers can adapt their designs based on the shear strength of soil by introducing suitable geogrids or wall and slope systems.

## Which factors impact soil shear strength?

Soil shear strength depends on many elements, one fundamental consideration being the type of soil. The particles of most soils are essentially incompressible, and soil masses have no tensile strength. Soils fail when one block of soil moves relative to another block and the soil particles at the failure plane move over each other.

This is what is known as shear. When particles move across each other, the resisting (or shear) force is friction. The shear resistance, or shear strength of soil, is related to the physical characteristics of the soil, including particle size, shape, distribution and orientation, but also the stresses acting on the soil at that location.

Ground Coffee 'Ask Andrew' Episode 5: Andrew Lees explains what the shear strength of a soil is.

### Friction

A key element of soil shear strength is friction. For objects in contact, friction force along a plane varies with the pressure acting perpendicular to the plane (known as normal stress). As normal stress increases, so too does frictional resistance, or shear stress. This underlines that soil shear strength is not a single figure but is dependent upon the stresses that are acting upon a soil. For granular soils, the relationship between shear stress and normal stress is a straight line, defined by an angle (ø) known as the friction angle.

### Friction angle

When considering soil shear strength, it is important to know the friction angle, as well as the stresses which will be acting on the soil. When comparing different types of granular soil, the friction angle is the single property that defines strength. The friction angle is critical when sourcing materials for structural fill in reinforced soil structures and important for applications such as working platforms and road foundations. It must also be remembered that any change in friction angle may necessitate a re-design.

### Clay soil shear strength

Clay soils are also composed of particles, although the particles are extremely small. There are electrostatic charges (attractive forces) acting between these fine particles, and surface tension from pore water holds particles together even without the application of external confining forces, hence clay soils have some shear strength even when normal stress is zero. This additional strength is known as apparent cohesion. It is not, however, a fundamental soil property. When considering the shear strength of granular soils, even those with some clay content, cohesion can mostly be ignored as it is the friction angle which is key.

## The influence of groundwater on the shear strength of soil

The presence of groundwater also has a marked influence on soil shear strength. Soils can be saturated, where all void spaces between particles are filled with water, or partially saturated when a percentage of air bubbles are present within the void spaces. The pore pressures generated affect particle to particle stress and therefore friction between soil particles. When a load is applied to saturated soil, the pressure of the pore water (water in the spaces) immediately increases because water is incompressible.

Granular soils have relatively large interconnecting voids between particles. When – as is usually the case in construction – loads are applied slowly onto a granular soil, water can be assumed to drain away freely, dissipating any increased pore pressure and allowing the applied load to be transferred to the soil skeleton. Consequently, pore water effects can be ignored.

Clay soil reacts differently as the voids are microscopically small and poorly interconnected. Water can therefore only move at much lower rates and drainage is very slow, so when a load is applied to  clay soil, the pore water pressure is unable to dissipate. As water is incompressible, the pore water pressure carries the load and the particle-to-particle stresses in the clay do not increase. The short-term saturated shear stress of clay soil is therefore a constant value referred to as the undrained stress, denoted by cu or su.

When considering the bearing capacity of clay soils, the undrained shear strength is critical. This is extremely common in the UK where soils with high clay content are found on many construction sites. Over time, water will drain from clay and the pore pressure will slowly reduce, therefore the strength of the clay soils will increase – however this is a very long-term effect.

## The impact of soil state on the shear strength of soil

A further factor affecting granular soil shear strength is the degree of particle compaction or soil state. When a load is applied to loose, uncompacted soil, the particles will move closer together as the soil contracts. After contraction of the soil, shearing takes place as particles begin to move over each other. The soil shear strength increases as the particles compact, ultimately continuing at a constant level and constant density or volume.

Where granular soils are already densely compacted, little or no contraction takes place and particles are interlocked. As the load increases, before particles can shear over one another, they have to move apart along the shear plane, unlocking the interlock. This is known as dilation. The shear force required to overcome dilation is the ‘peak strength’ (øpeak). After dilation, particles can move over each other more easily, requiring a lower shear force than at peak, which is referred to as strength at constant volume øcv.

In a situation where the soil is not expected to shear – for example, the structural fill in a reinforced soil wall – the peak strength should be used in the design. If addressing a high deformation condition, the preferred option would more likely be the shear strength of the soil at constant volume. The important consideration is to ensure that the materials report provides the appropriate strength for the design purpose.

Visit our TensarTech Wall & Slope Systems page to find out more about how these systems support earth retaining structures, embankment foundations and working platforms.

## Soil shear strength tests

Soil shear strength can be tested using the following methods:

### The vane shear test

This is an in-situ test of the undrained shear strength of cohesive soils (for example, clay-based soils) and can only be carried out on samples with a soil shear strength of up to 0.5 kgf/cm2. A “vane shear tip” is inserted into a bore hole on site and rotated to work out the torsional force required to cause shearing.

### The bore hole shear test

Another in-situ soil shear strength test for use on soft clays. A device is inserted into the bore hole and filled with compressed air to expand into the soil. As the soil shears, the shear strength can be estimated.

### The direct shear test

a simple lab-based shear test performed in a ‘shear box’. A soil sample is positioned in a shear box on a predefined horizontal plane. The specimen is placed under different normal stresses and the tangential (shear) stress is determined in each case (the consolidation stage). Next, during the shearing stage, a shear stress is applied along the predetermined horizontal plane to work out the shear strength of the sample.

### The triaxial test

these can be carried out on all soil types regardless of drainage condition. The term ‘triaxial’ refers to the fact that the soil sample is subjected to pressure in all directions during this type of test. See our guide to the triaxial test for more information.

### The unconfined compression (UCC) test

A specific type of triaxial test that can only be conducted on saturated cohesive soils. In this case, the cell in which the test takes place has no confining pressure.

## The shear strength of soil formula

The formula for the shear strength of granular soils is: τ=c+σ’tanφ

τ = soil shear strength (kPa)

c = cohesion (kPa)

σ’ = normal effective stress (kPa)

φ = the fractional angle

This formula outlines the Mohr–Coulomb envelope, which states that the shear strength is equal to the sum of cohesion (c) and a frictional component (σ’tanφ).

## Next steps

This guide has explained what we mean by the shear strength of soil, its importance in geotechnical engineering, the factors that affect this soil property, soil shear strength tests and the formula used to calculate it.

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