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Cylindrical Cavity Expansion Limit Pressure (Rock & Soil) Calculator

Cavity expansion theory models the creation and growth of a cylindrical or spherical hole in an elastoplastic continuum.

Elastic shear modulus of the continuum

Mohr-Coulomb cohesion

Internal friction angle

Initial ambient confinement stress

Calculated Result
1200.4 kPa

Cavity Expansion Limit Pressure

Rigidity Index (Ir)

249.8

Calculation Breakdown

  1. Vesic Cavity Expansionp_lim = f(G, c, φ, p0) => 1200.4 kPa

Limit Pressure vs Shear Modulus

Interactive visualization based on your current inputs

plim
0.099198296395G = 15 MPaG = 30 MPaG = 60 MPaShear Modulus GLimit Pressure (kPa)

What Is the Cylindrical Cavity Expansion Limit Pressure (Rock & Soil) Calculator?

Cavity expansion theory models the creation and growth of a cylindrical or spherical hole in an elastoplastic continuum.

It underpins self-boring pressuremeter interpretation, driven displacement pile end-bearing, and cone penetration (CPT) tip resistance.

How Does the Cylindrical Cavity Expansion Limit Pressure (Rock & Soil) Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Cylindrical Cavity Expansion Limit Pressure (Rock & Soil) Calculator Formula & Variables

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

p_{\lim} = (c \cot\phi + p_0) \left( I_r \cos\phi \right)^{\frac{\sin\phi}{1 + \sin\phi}} - c \cot\phi

Vesic cylindrical cavity expansion limit pressure.

How to Use the Cylindrical Cavity Expansion Limit Pressure (Rock & Soil) Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Pressuremeter Limit in Stiff Silt

Input Values:

shearModulusMpa:40.0
cohesionKpa:25.0
frictionAngleDeg:30.0
inSituStressKpa:180.0

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Rigidity index Ir = G / (c + p0·tan φ) governs plastic zone expansion radius.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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