Dam Engineering

Concrete Gravity Dam Static Overturning Factor of Safety calculator

Concrete Gravity Dam Static Overturning Factor of Safety engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate Concrete Gravity Dam Static Overturning Factor of Safety

Calculator

Overturning factor of safety (dimensionless)
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Result Interpretation

Concrete Gravity Dam Static Overturning Factor of Safety calculator computes Overturning factor of safety in dimensionless using the defined engineering formula and the input values provided. Overturning factor of safety is expressed in dimensionless. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Total weight of dam per unit length = 2400000
  • Horizontal distance from heel to line of action of W = 12
  • Total uplift force per unit length = 600000
  • Horizontal distance from heel to line of action of U = 8
  • Total horizontal hydrostatic force per unit length = 981000
  • Vertical distance from toe to line of action of H_w = 6.67

Expected Result:

  • Overturning factor of safety = 5.1350471553214

Engineering Interpretation:

Under the given input conditions, the calculated result is: Overturning factor of safety = 5.1350471553214 dimensionless.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

overturning factor of safety = (total weight of dam per unit length * horizontal distance from heel to line of action of w + total uplift force per unit length * horizontal distance from heel to line of action of u) / (total horizontal hydrostatic force per unit length * vertical distance from toe to line of action of h_w)

Formula family: formula_dam_concrete_gravity_dam_static_overturning_factor_of_safety_calculator

Variables

SymbolLabelRoleDescription
W Total weight of dam per unit length INPUT Total weight of dam per unit length
x_W Horizontal distance from heel to line of action of W INPUT Horizontal distance from heel to line of action of W
U Total uplift force per unit length INPUT Total uplift force per unit length
x_U Horizontal distance from heel to line of action of U INPUT Horizontal distance from heel to line of action of U
H_w Total horizontal hydrostatic force per unit length INPUT Total horizontal hydrostatic force per unit length
y_Hw Vertical distance from toe to line of action of H_w INPUT Vertical distance from toe to line of action of H_w
result Overturning factor of safety OUTPUT Overturning factor of safety

Calculation Steps

  1. Enter the total weight of dam per unit length in N/m.
  2. Enter the horizontal distance from heel to line of action of w in m.
  3. Enter the total uplift force per unit length in N/m.
  4. Enter the horizontal distance from heel to line of action of u in m.
  5. Enter the total horizontal hydrostatic force per unit length in N/m.
  6. Enter the vertical distance from toe to line of action of h_w in m.
  7. Step 1: Compute overturning factor of safety.
  8. Read the overturning factor of safety (dimensionless) from the results.

Engineering Summary

Calculate Concrete Gravity Dam Static Overturning Factor of Safety

Frequently Asked Questions

What does this calculator calculate?

The Concrete Gravity Dam Static Overturning Factor of Safety calculator estimates Overturning factor of safety 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 overturning factor of safety. 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 overturning factor of safety?

The calculator outputs overturning factor of safety 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), Horizontal distance from heel to line of action of W (m), Total uplift force per unit length (N/m), Horizontal distance from heel to line of action of U (m), Total horizontal hydrostatic force per unit length (N/m), Vertical distance from toe to line of action of H_w (m). 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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