Quick Answer
Calculate Bearing Capacity Factor Sensitivity Analyzer for Shallow Foundations
Calculator
Result Interpretation
Bearing Capacity Factor Sensitivity Analyzer for Shallow Foundations Calculator computes Bearing capacity factor sensitivity dN_q/dφ' in dimensionless using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Cosine of effective friction angle = 0.866
- Sine of effective friction angle = 0.5
- Tangent of effective friction angle = 0.5774
Expected Result:
- Bearing capacity factor sensitivity dN_q/dφ' = 6.135258011106
Engineering Interpretation:
Under the given input conditions, the calculated result is: Bearing capacity factor sensitivity dN_q/dφ' = 6.135258011106 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
bearing capacity factor sensitivity dn_q/dφ' = (exp(3.14159265358979 * tangent of effective friction angle) * pow(tangent of effective friction angle + 1.0 / cosine of effective friction angle, 2.0)) / (2.0 * (1.0 + sine of effective friction angle))Formula family: formula_geotech_bearing_capacity_factor_sensitivity_analyzer_for_shallow_foundations
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| tan_phi_prime | Tangent of effective friction angle | INPUT | Tangent of effective friction angle |
| sin_phi_prime | Sine of effective friction angle | INPUT | Sine of effective friction angle |
| cos_phi_prime | Cosine of effective friction angle | INPUT | Cosine of effective friction angle |
| bearing_capacity_factor_sensitivity | Bearing capacity factor sensitivity dN_q/dφ' | OUTPUT | Bearing capacity factor sensitivity dN_q/dφ' |
Calculation Steps
- Enter the tangent of effective friction angle in dimensionless.
- Enter the sine of effective friction angle in dimensionless.
- Enter the cosine of effective friction angle in dimensionless.
- Step 1: Compute bearing capacity factor sensitivity dn_q/dφ'.
- Read the bearing capacity factor sensitivity dn_q/dφ' (dimensionless) from the results.
Engineering Summary
Calculate Bearing Capacity Factor Sensitivity Analyzer for Shallow Foundations
Frequently Asked Questions
What does this calculator calculate?
The Bearing Capacity Factor Sensitivity Analyzer for Shallow Foundations Calculator estimates Bearing capacity factor sensitivity dN_q/dφ' based on the input parameters you provide
Why is tangent of effective friction angle important in this calculation?
tangent of effective friction angle is directly proportional to bearing capacity factor sensitivity dn_q/dφ'. When you enter tangent of effective friction angle in dimensionless, the calculator uses it in the engineering formula to compute the output
How should I interpret the result bearing capacity factor sensitivity dn_q/dφ'?
The calculator outputs bearing capacity factor sensitivity dn_q/dφ' 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: Tangent of effective friction angle (dimensionless), Sine of effective friction angle (dimensionless), Cosine of effective friction angle (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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