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Peck Settlement Trough Transverse Subsidence Calculator

Easily calculate and compute peck settlement trough transverse subsidence calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
17.8 mm

Maximum Centerline Settlement (S_max)

Maximum Centerline Settlement (S_max)

17.8 mm

Settlement At Offset Distance Mm

13.6

Trough Inflection Width Parameter I Meters

6.75

Total Trough Half Width Meters

16.9

Building Damage Risk Tier

SLIGHT (S_max <= 25 mm - Category 1)

17.8 — mm

Calculation Breakdown

  1. Applied FormulaApplies Peck Gaussian normal distribution curve to compute transverse surface subsidence profile, trough inflection point width i, and ground loss ratio Vl above urban tunnels.S(x) = S_{\text{max}} \exp\left( -\frac{x^2}{2 i^2} \right), \quad S_{\text{max}} = \frac{V_l}{\sqrt{2\pi} i}, \quad i = K \cdot z_0

Peck Surface Settlement Trough Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.04.58.91318Maximum Centerline Settlement (S_max)

What Is the Peck Settlement Trough Transverse Subsidence Calculator?

This tool computes peck settlement trough transverse subsidence calculator with high precision arithmetic.

How Does the Peck Settlement Trough Transverse Subsidence Calculator Work?

Applies Peck Gaussian normal distribution curve to compute transverse surface subsidence profile, trough inflection point width i, and ground loss ratio Vl above urban tunnels.

Peck Settlement Trough Transverse Subsidence Calculator Formula & Variables

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

S(x)=Smaxexp⁡(−x22i2),Smax=Vl2πi,i=K⋅z0S(x) = S_{\text{max}} \exp\left( -\frac{x^2}{2 i^2} \right), \quad S_{\text{max}} = \frac{V_l}{\sqrt{2\pi} i}, \quad i = K \cdot z_0

Applies Peck Gaussian normal distribution curve to compute transverse surface subsidence profile, trough inflection point width i, and ground loss ratio Vl above urban tunnels.

How to Use the Peck Settlement Trough Transverse Subsidence Calculator

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

Step-by-Step Example Calculation

Peck Settlement Trough Transverse Subsidence Calculator Example

Input Values:

tunnelDepthAxisMeters:15
tunnelDiameterMeters:6.2
volumeLossPercentage:1
troughWidthParamK:0.45
distanceFromCenterlineMeters:5
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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