Moments given Extrados Stresses on Arch Dam Calculator

Moment Formula:

\[ M_t = \sigma_e \times t \times t + \frac{F \times t}{6} \]

Moment acting on Arch Dam: J

Definition: This calculator computes the moment acting on an arch dam based on extrados stress, horizontal thickness, and abutment thrust.

Purpose: It helps civil engineers determine the overturning effect created by forces acting on an arch dam structure.

The calculator uses the formula:

\[ M_t = \sigma_e \times t \times t + \frac{F \times t}{6} \]

Where:

Explanation: The moment is calculated from both the extrados stress component and the abutment thrust component.

Details: Accurate moment calculation ensures structural stability of arch dams by accounting for all forces acting on the structure.

Tips: Enter extrados stress, horizontal thickness, and abutment thrust. All values must be > 0. Results include ±5% tolerance.

Q1: What is extrados stress?
A: Extrados stress refers to the stress on the outer curve of the arch dam structure.

Q2: How is horizontal thickness measured?
A: It's the distance between the inner and outer surfaces of the arch along its horizontal axis.

Q3: What affects abutment thrust?
A: Thrust depends on water pressure, dam geometry, and material properties.

Q4: Why the ±5% tolerance?
A: This accounts for typical variations in material properties and measurement uncertainties.

Q5: How to interpret the moment result?
A: Higher moments indicate greater overturning forces that the dam must resist.