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Tunnel Seismic Racking Deformation (Wang & Penzien) Calculator

Easily calculate and compute tunnel seismic racking deformation (wang & penzien) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
12.29 mm

Lining Transverse Racking Displacement (Δ_r)

Lining Transverse Racking Displacement (Δ_r)

12.29 mm

Free Field Racking Displacement Mm

10.34

Seismic Ground Shear Strain Milliradians

1.591

Racking Coefficient Rr

1.189

Seismic Performance Level

ACCEPTABLE (Within Elastic Structural Capacity)

12.29 — mm

Calculation Breakdown

  1. Applied FormulaEvaluates rectangular cut-and-cover and circular transit tunnel seismic racking distortion, soil shear strain γ_max, and soil-structure flexibility ratio F per FHWA-NHI-10-034.\Delta_r = R_r \gamma_{\text{max}} H, \quad F = \frac{G_m B}{S_1 H} \approx \frac{G_m (1 - \nu_s^2) B H}{6 E_c I_c}

Tunnel Seismic Racking Deformation Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.03.16.19.212Lining Transverse Racking Displacement (Δ_r)

What Is the Tunnel Seismic Racking Deformation (Wang & Penzien) Calculator?

This tool computes tunnel seismic racking deformation (wang & penzien) calculator with high precision arithmetic.

How Does the Tunnel Seismic Racking Deformation (Wang & Penzien) Calculator Work?

Evaluates rectangular cut-and-cover and circular transit tunnel seismic racking distortion, soil shear strain γ_max, and soil-structure flexibility ratio F per FHWA-NHI-10-034.

Tunnel Seismic Racking Deformation (Wang & Penzien) Calculator Formula & Variables

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

Δr=RrγmaxH,F=GmBS1H≈Gm(1−νs2)BH6EcIc\Delta_r = R_r \gamma_{\text{max}} H, \quad F = \frac{G_m B}{S_1 H} \approx \frac{G_m (1 - \nu_s^2) B H}{6 E_c I_c}

Evaluates rectangular cut-and-cover and circular transit tunnel seismic racking distortion, soil shear strain γ_max, and soil-structure flexibility ratio F per FHWA-NHI-10-034.

How to Use the Tunnel Seismic Racking Deformation (Wang & Penzien) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Tunnel Seismic Racking Deformation (Wang & Penzien) Calculator Example

Input Values:

tunnelHeightMeters:6.5
soilShearWaveVelocityMPerS:220
peakGroundVelocityCmPerS:35
flexibilityRatioF:1.4
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required mm.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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