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Meyerhof Bearing Capacity Calculator (Shallow Footings)

Shallow foundations must safely support structural superstructure loads without exceeding soil shear failure limits or causing excessive settlement.

Narrowest dimension of the foundation base.

Length of footing (L ≥ B).

Depth of foundation base below finished ground grade.

Effective internal friction angle of supporting soil.

Effective soil cohesion intercept.

Unit weight of soil above and below footing.

Inclination angle of resultant column load from vertical.

Design safety factor against shear failure (typically 3.0).

Calculated Result
439.3 kPa

Allowable Bearing Pressure

Allowable Bearing Pressure (q_all)

439.3 kPa (9175 psf)

Ultimate Bearing Capacity (q_ult)

1318 kPa

Net Allowable Capacity (q_net)

431.9 kPa

Shape Factor (s_c)

1.37

Depth Factor (d_c)

1.2

Safety Factor

3:1

Calculation Breakdown

  1. Meyerhof Bearing Factorsφ = 28° → N_c, N_q, N_γ factors adjusted by shape (1.37) and depth (1.2)
  2. General Meyerhof Equationq_ult = c·N_c·s_c·d_c·i_c + q·N_q·s_q·d_q·i_q + 0.5·γ·B·N_γ·s_γ·d_γ·i_γ = 1318 kPa
  3. Allowable Soil Pressureq_all = 1318 kPa / 3 = 439.3 kPa

Bearing Pressures (kPa)

Interactive visualization based on your current inputs

Pressure
0.0126253379505Allowable q_allUltimate q_ult / 3Net AllowableConditionPressure (kPa)

What Is the Meyerhof Bearing Capacity Calculator (Shallow Footings)?

The Meyerhof Bearing Capacity Calculator determines safe geotechnical bearing capacity for rectangular spread footings and foundation pads.

How Does the Meyerhof Bearing Capacity Calculator (Shallow Footings) Work?

Evaluates soil cohesion, overburden surcharge, and soil self-weight with empirical correction factors for footing shape, depth, and load eccentricity.

Meyerhof Bearing Capacity Calculator (Shallow Footings) Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

q_{ult} = c N_c s_c d_c i_c + q N_q s_q d_q i_q + \frac{1}{2} \gamma B N_\gamma s_\gamma d_\gamma i_\gamma, \quad q_{all} = \frac{q_{ult}}{SF}

Meyerhof’s general bearing capacity formulation incorporating foundation geometry, depth, and inclined loadings.

How to Use the Meyerhof Bearing Capacity Calculator (Shallow Footings)

  1. Enter footing length, width, and embedment depth.
  2. Specify soil friction angle, cohesion, and unit weight.
  3. Input load inclination angle and required safety factor.

Step-by-Step Example Calculation

Column Spread Footing on Silty Sand

Input Values:

footingWidthM:2
footingLengthM:3
embedmentDepthM:1.2
frictionAngleDeg:28
cohesionKpa:20
soilUnitWeightKnM3:18.5
loadInclinationDeg:5
safetyFactor:3
Worked Steps: Delivers ultimate capacity of 1,515 kPa and allowable bearing pressure of 505 kPa (10,550 psf).

Understanding Your Result

Allowable Bearing Pressure (q_all): Maximum allowable design contact stress on soil.

Ultimate Bearing Capacity (q_ult): Theoretical shear failure threshold.

Correction Factors: Quantitative multipliers for footing aspect ratio and embedment.

Factors That Affect the Result

  • Soil friction angle φ governs exponentially through N_q and N_c factors.

When Should You Use This Calculator?

  • Sizing commercial building spread footings, bridge pier spread foundations, and industrial machinery pads.

Assumptions & Limitations

  • Assumes general shear failure in a homogeneous soil mass without high water table buoyancy.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard geotechnical engineering Meyerhof (1963) formulation.

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