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Calcs.com
Das (2011), Principles of Foundation EngineeringMeyerhof (1956)Australia

Soil Bearing Capacity Estimation

Australian structural and geotechnical engineers who need an allowable soil bearing pressure for a shallow footing before a full geotechnical report is in hand, working from soil type, friction angle, and cohesion. Intended for preliminary estimates on single-strata soils, not a replacement for a site-specific geotechnical investigation.

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What it calculates

Estimate the bearing capacity of soil below a shallow foundation using Meyerhof's general bearing capacity equation, from parameters obtained on site. Considers a single soil stratum for preliminary shallow-foundation sizing.

Code standards

  • Das (2011), Principles of Foundation Engineering
  • Meyerhof (1956)

How it calculates

The calculator estimates the ultimate and allowable bearing capacity of the soil beneath a shallow foundation using the general bearing capacity equation. It works from parameters that can be obtained on site, then applies a factor of safety to give a factored capacity and a maximum allowable load.

General bearing capacity equation

The ultimate bearing capacity is built from three contributions: a cohesion term, an overburden (surcharge) term driven by the effective stress at the founding depth, and a foundation-size term driven by the soil self-weight below the footing. Each term is the product of a bearing capacity factor and a set of correction factors for shape, depth, and load inclination. The effective stress at the bottom of the foundation is computed first, since it scales the overburden and size contributions.

Bearing capacity factors

Three bearing capacity factors are derived from the effective internal angle of friction of the foundation soil: one for the cohesion part, one for the overburden part, and one for the foundation-size part. These increase sharply with the friction angle and are the primary driver of capacity in granular soils, while the cohesion term dominates in clays.

Shape, depth, and inclination factors

Each of the three terms is corrected by a shape factor, a depth factor, and an inclination factor. The shape factors use the footing length and width (so a square footing and a strip footing give different results). The depth factors reward the confining effect of soil above the founding level. The inclination factors use the angle of load inclination to reduce capacity when the applied load is not vertical.

Effective stress and the water table

The depth of the water table below ground level determines whether bulk or saturated (submerged) unit weights govern the effective stress at and below the founding depth. A high water table reduces the effective stress and therefore the overburden and size contributions to capacity, which the calculator accounts for using the entered unit weight of water.

Factored capacity and allowable load

The ultimate general bearing capacity is divided by the entered factor of safety to give the factored bearing capacity. Multiplying by the footing plan area gives the maximum allowable load that the soil can support beneath the shallow foundation.

Assumptions

The estimate uses the Meyerhof (1956) general bearing capacity equation, considers only a single base soil stratum, and applies only to the soil below shallow foundations. It is intended as an on-site estimate and should be confirmed by a geotechnical investigation for final design.

Frequently asked questions

What method does this calculator use?
Bearing capacity is estimated with the general bearing capacity equation attributed to Meyerhof (1956), as presented in B. M. Das, Principles of Foundation Engineering (2011). The equation combines a cohesion term, an overburden (surcharge) term, and a foundation-size (self-weight) term, each with its own bearing capacity, shape, depth, and inclination factor.
What are the key inputs?
Footing geometry: depth of the footing below ground level, length (larger dimension), width (smaller dimension), and the angle of load inclination. Soil properties: effective internal angle of friction, drained cohesion, bulk and saturated unit weights, depth of the water table below ground level, and the unit weight of water. A factor of safety is also entered to convert the ultimate capacity into a factored (allowable) value.
What does the calculator output?
It returns the effective stress at the bottom of the foundation, the general (ultimate) bearing capacity of the foundation soil, the factored bearing capacity after applying the factor of safety, and the maximum allowable load on the footing. The bearing capacity factors and the shape, depth, and inclination factors used in the calculation are all shown.
Does it account for the water table and inclined loading?
Yes. The depth of the water table below ground level, together with the bulk and saturated unit weights and the unit weight of water, sets the effective stress used in the overburden and size terms. The angle of load inclination feeds the inclination factors for the cohesion, overburden, and size parts, which reduce capacity for loads that are not vertical.
When should I use this rather than a full geotechnical report?
Use it for a fast, first-pass estimate of allowable bearing pressure when only site-observed soil parameters are available, for example during preliminary footing sizing. It considers a single base soil stratum below shallow foundations and does not replace a site-specific geotechnical investigation, which should confirm the design values for the final design.

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