Thrust given Deflection due to Thrust on Arch Dam Calculator

Thrust Formula:

\[ F = \frac{\delta \times E}{K2} \]

Thrust of Abutments (N):

1. What is Thrust given Deflection due to Thrust on Arch Dam?

Definition: This calculator determines the horizontal force (thrust) exerted by an arch dam on its abutments based on deflection, rock modulus, and a constant.

Purpose: It helps civil engineers assess the structural forces in arch dam designs and ensure abutment stability.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F = \frac{\delta \times E}{K2} \]

Where:

\( F \) — Thrust of Abutments (N)
\( \delta \) — Deflection due to Moments (m)
\( E \) — Elastic Modulus of Rock (Pa)
\( K2 \) — Constant depending on b/a ratio and Poisson ratio

Explanation: The deflection multiplied by rock modulus gives the resisting force, which when divided by the constant K2 yields the thrust.

3. Importance of Thrust Calculation

Details: Accurate thrust calculation ensures dam stability, prevents abutment failure, and helps in proper structural design.

4. Using the Calculator

Tips: Enter deflection (m), elastic modulus (Pa), and constant K2. All values must be > 0. Results include ±5% tolerance.

5. Frequently Asked Questions (FAQ)

Q1: What causes deflection in arch dams?
A: Deflection results from water pressure, thermal changes, and seismic forces acting on the dam structure.

Q2: How is elastic modulus of rock determined?
A: Through laboratory tests on rock cores or field tests like plate loading tests.

Q3: What factors affect constant K2?
A: K2 depends on the dam's geometry (b/a ratio) and the Poisson's ratio of the construction material.

Q4: Why is ±5% tolerance included?
A: This accounts for measurement uncertainties and material property variations.

Q5: How does thrust affect dam safety?
A: Excessive thrust can cause abutment sliding or crushing, compromising dam integrity.