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Bearing Capacity Calculator

Terzaghi Theory · Shallow Foundations · Allowable Bearing

When to use: Size shallow footings (spread, strip, mat) by computing the soil's ultimate bearing capacity. Uses Terzaghi's equation qu = c·Nc + q·Nq + 0.5·γ·B·Nγ with shape factors for strip, square, and circular footings. The bearing capacity factors Nc, Nq, and Nγ are functions of the soil friction angle φ. Allowable bearing = qu / FS (default FS = 3). Account for the groundwater table, which reduces effective unit weight and bearing capacity.

Footing & Soil Parameters
kPa
°
kN/m³
m
m
blank = none
m
default 3.0
Bearing Capacity Factors (φ = 30°)
30.14
Nc
18.40
Nq
22.40
Allowable Bearing Capacity
534
kPa  (qu / FS, FS = 3.0)
Results
Ultimate Bearing (qu)1,603 kPa
Net Ultimate (qu − q)1,576 kPa
Gross Allowable (qa)534 kPa
Net Allowable525 kPa
Cohesion Term (c·Nc·sc)784 kPa
Surcharge Term (q·Nq)497 kPa
Width Term (½·γ·B·Nγ·sγ)323 kPa
Effective γ used18.0 kN/m³
Method & References
Terzaghi (1943) general bearing equation
Nq = e^(π·tanφ)·tan²(45+φ/2)
Nc = (Nq−1)·cotφ ; Nγ = 2(Nq+1)·tanφ
φ=0 (undrained): Nc=5.14, Nq=1, Nγ=0
Shape factors: strip/square/circular