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Meyerhof Bearing Capacity Shallow Footing Calculator

Meyerhof extended Terzaghi formulation by extending the failure shear surface to ground surface level and incorporating depth and shape factors.

Soil cohesion.

Soil internal friction angle.

Soil unit weight.

Width of footing.

Length of rectangular footing.

Depth of foundation base.

Design safety factor.

Calculated Result
528.87 kPa

Meyerhof Allowable Capacity (q_all)

Result Summary

Meyerhof Ultimate Bearing Capacity: 1586.61 kPa. Allowable: 528.87 kPa (FS = 3). Shape factors: sc=1.40, sq=1.20. Depth factors: dc=1.17, dq=1.09.

Calculation Breakdown

  1. Step 1: Meyerhof FactorsNc = 30.14, Nq = 18.40, Nγ = 15.67
  2. Step 2: Shape & Depth Modificationssc=1.40, sq=1.20, dc=1.17, dq=1.09
  3. Step 3: Ultimate & Allowable Pressureq_ult = 1586.61 kPa, q_all = q_ult / FS = 528.87 kPa

What Is the Meyerhof Bearing Capacity Shallow Footing Calculator?

The Meyerhof method is widely used in commercial geotechnical design because it accounts for rectangular aspect ratios and embedment shear strength.

How Does the Meyerhof Bearing Capacity Shallow Footing Calculator Work?

Computes Meyerhof factors Nc, Nq, Nγ based on Prandtl log-spiral failure mechanism.

Calculates shape factors (sc, sq, sγ) as functions of B/L ratio.

Computes depth factors (dc, dq, dγ) capturing shear resistance along embedment zone.

Meyerhof Bearing Capacity Shallow Footing Calculator Formula & Variables

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

q_ult = c·Nc·sc·dc + q·Nq·sq·dq + 0.5·γ·B·Nγ·sγ·dγ

Meyerhof modified general bearing capacity equation with 3D shape and embedment depth factors.

How to Use the Meyerhof Bearing Capacity Shallow Footing Calculator

  1. Input soil properties and footing dimensions (Width B, Length L, Depth Df).
  2. Provide desired safety factor.
  3. Inspect allowable bearing pressure.

Step-by-Step Example Calculation

Rectangular Footing on Dense Silt

Input Values:

cohesion:15
frictionAngle:30
unitWeight:19
footingWidth:2
footingLength:3
embedmentDepth:1
factorOfSafety:3
Worked Steps: Rectangular 2m × 3m footing embedded in dense sandy silt.

Understanding Your Result

Outputs both ultimate limit state capacity and allowable working pressure.

Factors That Affect the Result

  • Aspect ratio B/L.
  • Embedment ratio Df/B.

When Should You Use This Calculator?

  • Design of rectangular footings, strap footings, and raft foundation segments.

Assumptions & Limitations

  • Assumes vertical concentric loading; inclined or eccentric loads require load inclination factors.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard Meyerhof (1963) semi-empirical formula.

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