Quick Answer
Calculate Concrete Gravity Dam Overturning & Sliding Safety Margin Calculator
Calculator
Result Interpretation
Concrete Gravity Dam Overturning & Sliding Safety Margin Calculator computes Factor of Safety Against Overturning and Sliding in dimensionless using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Base width of dam = 12
- Total uplift force per unit length = 800000
- Total weight of dam per unit length = 2400000
- Coefficient of base friction = 0.75
- Horizontal hydrostatic force per unit length = 490500
- Depth of water upstream = 10
Expected Result:
- Factor of Safety Against Overturning and Sliding = 2.4464831804281
Engineering Interpretation:
Under the given input conditions, the calculated result is: Factor of Safety Against Overturning and Sliding = 2.4464831804281 dimensionless.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
factor of safety against overturning and sliding = min( (total weight of dam per unit length * base width of dam / 2 - total uplift force per unit length * base width of dam / 3) / (horizontal hydrostatic force per unit length * depth of water upstream / 2), (coefficient of base friction * (total weight of dam per unit length - total uplift force per unit length)) / horizontal hydrostatic force per unit length )Formula family: formula_dam_concrete_gravity_dam_overturning_sliding_safety_margin_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| W | Total weight of dam per unit length | INPUT | Total weight of dam per unit length |
| U | Total uplift force per unit length | INPUT | Total uplift force per unit length |
| H_w | Horizontal hydrostatic force per unit length | INPUT | Horizontal hydrostatic force per unit length |
| h_w | Depth of water upstream | INPUT | Depth of water upstream |
| B | Base width of dam | INPUT | Base width of dam |
| mu | Coefficient of base friction | INPUT | Coefficient of base friction |
| factor_of_safety | Factor of Safety Against Overturning and Sliding | OUTPUT | Factor of Safety Against Overturning and Sliding |
Calculation Steps
- Enter the total weight of dam per unit length in N/m.
- Enter the total uplift force per unit length in N/m.
- Enter the horizontal hydrostatic force per unit length in N/m.
- Enter the depth of water upstream in m.
- Enter the base width of dam in m.
- Enter the coefficient of base friction in dimensionless.
- Step 1: Compute factor of safety against overturning and sliding.
- Read the factor of safety against overturning and sliding (dimensionless) from the results.
Engineering Summary
Calculate Concrete Gravity Dam Overturning & Sliding Safety Margin Calculator
Frequently Asked Questions
What does this calculator calculate?
The Concrete Gravity Dam Overturning & Sliding Safety Margin Calculator estimates Factor of Safety Against Overturning and Sliding based on the input parameters you provide
Why is total weight of dam per unit length important in this calculation?
total weight of dam per unit length is directly proportional to factor of safety against overturning and sliding. When you enter total weight of dam per unit length in N/m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result factor of safety against overturning and sliding?
The calculator outputs factor of safety against overturning and sliding in dimensionless. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Total weight of dam per unit length (N/m), Total uplift force per unit length (N/m), Horizontal hydrostatic force per unit length (N/m), Depth of water upstream (m), Base width of dam (m), Coefficient of base friction (dimensionless). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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