What Is the Meyerhof Bearing Capacity with Inclined Load Calculator?
Meyerhof bearing capacity theory extends classical Terzaghi equations to account for footing embedment, shear along the failure surface above the base, and inclined loading.
Load inclination severely reduces the bearing resistance by tilting the plastic failure shear zones.
How Does the Meyerhof Bearing Capacity with Inclined Load Calculator Work?
Bearing capacity factors Nc, Nq, and Ngamma are derived from the internal soil friction angle phi.
Inclination factors ic, iq, and igamma reduce each component according to load tilt angle alpha.
Dividing ultimate bearing capacity by the safety factor provides the net allowable bearing pressure.
Meyerhof Bearing Capacity with Inclined Load Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Calculates ultimate bearing capacity with Meyerhof bearing factors and load inclination reduction factors.
How to Use the Meyerhof Bearing Capacity with Inclined Load Calculator
- Enter soil cohesion in kPa and internal friction angle in degrees.
- Specify footing width B and embedment depth D in meters.
- Enter load inclination angle from vertical and desired safety factor.
Step-by-Step Example Calculation
Meyerhof Capacity Standard Case
Input Values:
Understanding Your Result
Ultimate bearing capacity q_ult represents the threshold pressure causing general shear failure.
Allowable bearing capacity q_all is the maximum design contact pressure permitted under code.
Inclination factors demonstrate the percentage loss in capacity caused by lateral force components.
Factors That Affect the Result
- Load inclination angle: Even moderate tilt angles (10-15 degrees) can reduce bearing capacity by 30% to 50%.
- Friction angle phi: Small increases in friction angle exponentially boost Nq and Ngamma.
- Footing embedment depth: Surcharge pressure q = gamma * D provides substantial confinement.
When Should You Use This Calculator?
- Designing retaining wall footings, bridge abutment foundations, and wind turbine spread bases.
- Checking foundation stability against combined vertical gravity and lateral shear loads.
Assumptions & Limitations
- Assumes general shear failure in a semi-infinite homogeneous soil mass.
- Does not account for structural eccentricity width reduction (B_prime = B - 2e).
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard Meyerhof empirical bearing capacity formulation with quadratic inclination reduction factors.