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Engineering & geotechnics

Bearing Capacity of Shallow Foundations

Terzaghi, Meyerhof and Vesić side by side.

Calculates ultimate and allowable bearing capacity of strip, square, circular and rectangular footings with the Terzaghi, Meyerhof and Vesić methods, including shape, depth and inclination factors and the effect of the water table.

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Bearing Capacity of Shallow Foundations
▽ GWTQVesić · squareqall 312 kPaFS = 3BDf

Overview

Enter footing geometry, soil strength and unit weight. The three classic methods are computed together so the spread between them is visible, and a chart shows how the allowable pressure changes with footing width.

What you enter · What you get

What you enter

  • Footing shape, width B, length L and depth Df
  • Cohesion c′, friction angle φ′, unit weights γ and γsat
  • Water-table depth, load inclination and factor of safety

What you get

  • Bearing capacity factors Nc, Nq, Nγ
  • Ultimate, net and allowable bearing pressure
  • Allowable column load
  • Pressure–width chart and failure-zone sketch

How it works in the field

Enter geometry
Enter soil parameters
Compare methods

Method and equations

General bearing capacity equation

Meyerhof and Vesić multiply each term by shape (s), depth (d) and inclination (i) factors.

qu = c′Ncscdcic + qNqsqdqiq + ½γBNγsγdγiγ

Bearing capacity factors

Reissner–Prandtl factors with Vesić’s Nγ.

Nq = eπ tanφ tan²(45 + φ/2) · Nc = (Nq − 1) cotφ · Nγ = 2(Nq + 1) tanφ

Who uses it

Geotechnical and structural engineersCivil-engineering students

Standards and references

  1. Terzaghi, K. (1943). Theoretical Soil Mechanics. Wiley.
  2. Meyerhof, G.G. (1963). Some recent research on the bearing capacity of foundations. Canadian Geotechnical Journal, 1(1), 16–26.
  3. Vesić, A.S. (1973). Analysis of ultimate loads of shallow foundations. JSMFD, ASCE, 99(SM1), 45–73.
  4. Das, B.M. (2019). Principles of Foundation Engineering, 9th ed. Cengage.
Results support professional judgement. They do not replace a licensed engineer’s or geologist’s sign-off.

At a glance

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Engineering & geotechnics
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