Tunnel Ground Reaction Curve Generator (Convergence-Confinement) Calculator

Quick Answer

Calculate Tunnel Ground Reaction Curve Generator (Convergence-Confinement)

Result Interpretation

Tunnel Ground Reaction Curve Generator (Convergence-Confinement) Calculator computes Radial displacement in m using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

Tunnel radius = 5
Deformation modulus of rock mass = 2500000000
Poisson's ratio of rock mass = 0.25
Uniaxial compressive strength of rock mass = 25000000
Radial support pressure = 100000

Expected Result:

Radial displacement = 0.0312495

Engineering Interpretation:

Under the given input conditions, the calculated result is: Radial displacement = 0.0312495 m.

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

radial displacement = (uniaxial compressive strength of rock mass * (1 - pow((radial support pressure / uniaxial compressive strength of rock mass), 2)) * (tunnel radius / deformation modulus of rock mass)) * (1 + poisson's ratio of rock mass) * 0.5

Formula family: formula_tunnel_ground_reaction_curve_generator

Variables

Symbol	Label	Role	Description
sigma_c	Uniaxial compressive strength of rock mass	INPUT	Uniaxial compressive strength of rock mass
p_support	Radial support pressure	INPUT	Radial support pressure
R	Tunnel radius	INPUT	Tunnel radius
E_rm	Deformation modulus of rock mass	INPUT	Deformation modulus of rock mass
nu_rm	Poisson's ratio of rock mass	INPUT	Poisson's ratio of rock mass
result	Radial displacement	OUTPUT	Radial displacement

Calculation Steps

Enter the uniaxial compressive strength of rock mass in Pa.
Enter the radial support pressure in Pa.
Enter the tunnel radius in m.
Enter the deformation modulus of rock mass in Pa.
Enter the poisson's ratio of rock mass in 1.
Step 1: Compute radial displacement.
Read the radial displacement (m) from the results.

Engineering Summary

Calculate Tunnel Ground Reaction Curve Generator (Convergence-Confinement)

Frequently Asked Questions

What does this calculator calculate?

The Tunnel Ground Reaction Curve Generator (Convergence-Confinement) Calculator estimates Radial displacement based on the input parameters you provide

Why is uniaxial compressive strength of rock mass important in this calculation?

uniaxial compressive strength of rock mass is directly proportional to radial displacement. When you enter uniaxial compressive strength of rock mass in Pa, the calculator uses it in the engineering formula to compute the output

How should I interpret the result radial displacement?

The calculator outputs radial displacement in m. 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: Uniaxial compressive strength of rock mass (Pa), Radial support pressure (Pa), Tunnel radius (m), Deformation modulus of rock mass (Pa). 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