Quick Answer
Calculate Tunnel Rock Mass Deformation Compatibility Ratio
Calculator
Result Interpretation
Tunnel Rock Mass Deformation Compatibility Ratio Calculator computes Deformation Compatibility Ratio in dimensionless using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Load-Bearing Rock Annulus Cross-Sectional Area = 18.2
- Rock Mass Young's Modulus = 1800000000
- Effective Support Cross-Sectional Area = 0.14
- Support System Young's Modulus = 210000000000
- Rock Mass Convergence at Tunnel Perimeter = 0.008
- Support System Axial Deformation Under Load = 0.0025
Expected Result:
- Deformation Compatibility Ratio = 0.00021098901098901
Engineering Interpretation:
Under the given input conditions, the calculated result is: Deformation Compatibility Ratio = 0.00021098901098901 dimensionless.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
deformation compatibility ratio = (rock mass young's modulus * effective support cross-sectional area * rock mass convergence at tunnel perimeter) / (support system young's modulus * load-bearing rock annulus cross-sectional area * support system axial deformation under load)Formula family: formula_tunnel_rock_mass_deformation_compatibility_checker
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| E_rock | Rock Mass Young's Modulus | INPUT | Rock Mass Young's Modulus |
| E_support | Support System Young's Modulus | INPUT | Support System Young's Modulus |
| A_support | Effective Support Cross-Sectional Area | INPUT | Effective Support Cross-Sectional Area |
| A_rock | Load-Bearing Rock Annulus Cross-Sectional Area | INPUT | Load-Bearing Rock Annulus Cross-Sectional Area |
| delta_L_rock | Rock Mass Convergence at Tunnel Perimeter | INPUT | Rock Mass Convergence at Tunnel Perimeter |
| delta_L_support | Support System Axial Deformation Under Load | INPUT | Support System Axial Deformation Under Load |
| result | Deformation Compatibility Ratio | OUTPUT | Deformation Compatibility Ratio |
Calculation Steps
- Enter the rock mass young's modulus in Pa.
- Enter the support system young's modulus in Pa.
- Enter the effective support cross-sectional area in m^2.
- Enter the load-bearing rock annulus cross-sectional area in m^2.
- Enter the rock mass convergence at tunnel perimeter in m.
- Enter the support system axial deformation under load in m.
- Step 1: Compute deformation compatibility ratio.
- Read the deformation compatibility ratio (dimensionless) from the results.
Engineering Summary
Calculate Tunnel Rock Mass Deformation Compatibility Ratio
Frequently Asked Questions
What does this calculator calculate?
The Tunnel Rock Mass Deformation Compatibility Ratio Calculator estimates Deformation Compatibility Ratio based on the input parameters you provide
Why is rock mass young's modulus important in this calculation?
rock mass young's modulus is directly proportional to deformation compatibility ratio. When you enter rock mass young's modulus in Pa, the calculator uses it in the engineering formula to compute the output
How should I interpret the result deformation compatibility ratio?
The calculator outputs deformation compatibility ratio in dimensionless. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Rock Mass Young's Modulus (Pa), Support System Young's Modulus (Pa), Effective Support Cross-Sectional Area (m^2), Load-Bearing Rock Annulus Cross-Sectional Area (m^2), Rock Mass Convergence at Tunnel Perimeter (m), Support System Axial Deformation Under Load (m). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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