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Intrados Stresses on Arch Dam Calculator

Intrados Stresses Formula:

\[ S = \frac{F}{t} + \frac{6M_t}{t^2} \]

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1. What is Intrados Stresses on Arch Dam?

Definition: Intrados stresses are the internal stresses acting on the inner curved surface (intrados) of an arch dam.

Purpose: Calculating these stresses helps engineers ensure the structural integrity of arch dams under various loads.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S = \frac{F}{t} + \frac{6M_t}{t^2} \]

Where:

  • \( S \) — Intrados stresses (Pascals)
  • \( F \) — Thrust of abutments (Newtons)
  • \( t \) — Horizontal thickness of the arch (meters)
  • \( M_t \) — Moment acting on the arch dam (Joules)

Explanation: The formula combines direct compressive stress (F/t) with bending stress (6M/t²) to determine total intrados stress.

3. Importance of Intrados Stress Calculation

Details: Proper calculation ensures the dam can withstand water pressure, seismic activity, and other forces without excessive deformation or failure.

4. Using the Calculator

Tips: Enter the thrust force, horizontal thickness, moment, and tolerance percentage (default ±5%). All values must be > 0 except tolerance.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical tolerance for intrados stresses?
A: ±5% is common, but this may vary based on design specifications and safety factors.

Q2: How do I determine the thrust of abutments?
A: Thrust is calculated from water pressure and dam geometry, typically determined through structural analysis.

Q3: What units should I use?
A: Use consistent SI units: Newtons (N) for thrust, meters (m) for thickness, and Joules (J) for moment.

Q4: Why is thickness squared in the formula?
A: The bending stress component is inversely proportional to the square of thickness due to the section modulus of the arch.

Q5: What if my stresses exceed material limits?
A: Consider increasing arch thickness, modifying dam geometry, or using higher-strength materials.

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