Home Back

Length of Conduit given Neutral Stress per unit area for Dams on Soft Foundations Calculator

Formula:

\[ L_n = \frac{h}{\left(\frac{\sigma_{Neutral\ stress}}{D \times W} - 1\right)} \]

m
Pa
m
kN/m³
%

1. What is Length of Conduit given Neutral Stress?

Definition: This calculator determines the minimum safe length of travel path (conduit) in dams on soft foundations based on neutral stress distribution.

Purpose: It helps civil engineers ensure proper stress distribution and stability in dam foundations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L_n = \frac{h}{\left(\frac{\sigma_{Neutral\ stress}}{D \times W} - 1\right)} \]

Where:

  • \( L_n \) — Minimum safe length of travel path (m)
  • \( h \) — Height of dam (m)
  • \( \sigma_{Neutral\ stress} \) — Neutral stress in soil mass (Pa)
  • \( D \) — Depth of dam (m)
  • \( W \) — Specific weight of water (kN/m³)

Explanation: The formula calculates the minimum conduit length required to maintain safe stress distribution in soft foundation materials.

3. Importance of This Calculation

Details: Proper conduit length ensures stress is adequately distributed to prevent foundation failure, piping, or excessive settlement in dams.

4. Using the Calculator

Tips: Enter dam height, neutral stress, depth, water weight (default 9.81 kN/m³), and tolerance percentage (default ±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is neutral stress in dam foundations?
A: Neutral stress is the stress carried by pore water in the soil, important for stability analysis.

Q2: Why is the tolerance percentage important?
A: It accounts for material variability and provides a safe range for construction.

Q3: What's a typical specific weight of water?
A: 9.81 kN/m³ is standard, but may vary slightly with temperature and impurities.

Q4: When would I adjust the tolerance?
A: Increase tolerance for less uniform materials or higher safety requirements.

Q5: How does dam depth affect the result?
A: Greater depth typically requires longer conduit length for proper stress distribution.

Length of Conduit given Neutral Stress Calculator© - All Rights Reserved 2025