Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam Calculator

Maximum Possible Height Formula:

\[ H_{max} = \frac{f}{\Gamma_w \times (S_c + 1)} \]

Allowable Compressive Stress of Dam Material:

kN/m²

Unit Weight of Water:

kN/m³

Specific Gravity of Dam Material:

Maximum Possible Height (m):

1. What is Maximum Possible Height when Uplift is Neglected?

Definition: This calculator determines the maximum theoretical height a gravity dam can reach based on material properties, ignoring uplift forces.

Purpose: It helps civil engineers evaluate the feasibility of dam designs and understand material limitations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H_{max} = \frac{f}{\Gamma_w \times (S_c + 1)} \]

Where:

\( H_{max} \) — Maximum possible height of dam (meters)
\( f \) — Allowable compressive stress of dam material (kN/m²)
\( \Gamma_w \) — Unit weight of water (kN/m³, typically 9.807)
\( S_c \) — Specific gravity of dam material (±5%)

Explanation: The formula balances the dam's compressive strength against the water pressure and the dam's own weight.

3. Importance of Maximum Height Calculation

Details: This calculation ensures the dam won't fail due to material compression and helps in preliminary design stages.

4. Using the Calculator

Tips: Enter the allowable compressive stress, unit weight of water (default 9.807 kN/m³), and specific gravity of dam material (default 2.2 ±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is uplift neglected in this calculation?
A: This is an elementary profile calculation for preliminary design. Actual designs must consider uplift forces.

Q2: What's a typical specific gravity for concrete dams?
A: Most concrete dams have specific gravity between 2.2-2.4, but this can vary based on aggregate type.

Q3: How accurate is this calculation?
A: It provides theoretical maximum height. Actual designs require safety factors and more complex analysis.

Q4: What if my dam material has different properties?
A: Adjust the specific gravity and compressive stress values accordingly.

Q5: Why does water unit weight matter?
A: Water pressure increases with depth, and this directly affects the dam's stability.