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Soil-Structure Interaction (SSI) Foundation Rocking Frequency Calculator

Easily calculate and compute soil-structure interaction (ssi) foundation rocking frequency calculator with accurate equations, live formulas, and expert guidance.

Natural frequency of building assuming perfectly rigid unyielding base.

Full footing width in direction of rocking.

Effective height of first-mode building mass.

Total effective vibrating mass.

Foundation soil operational shear modulus under seismic strains.

Foundation subgrade Poisson ratio.

Calculated Result
0.59 Hz

SSI Flexible Frequency (f_ssi)

SSI Flexible Frequency (f_ssi)

0.59 Hz

Flexible Base Frequency Fssi Hz

0.59

Foundation Rocking Frequency Ftheta Hz

0.61

Period Lengthening Ratio

4.24

Rocking Rotational Stiffness M Nm Rad

5654.9

0.59 — Hz

Calculation Breakdown

  1. Applied FormulaQuantifies kinematic and inertial Soil-Structure Interaction (SSI) period lengthening and foundation rocking frequency using Veletsos and Gazetas impedance formulations.\frac{\tilde{T}}{T} = \sqrt{1 + \frac{k_{fixed}}{K_x} + \frac{k_{fixed} h^2}{K_\theta}}

SSI Foundation Rocking Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0SSI Flexible Frequency (f_ssi)

What Is the Soil-Structure Interaction (SSI) Foundation Rocking Frequency Calculator?

This tool computes soil-structure interaction (ssi) foundation rocking frequency calculator with high precision arithmetic.

How Does the Soil-Structure Interaction (SSI) Foundation Rocking Frequency Calculator Work?

Quantifies kinematic and inertial Soil-Structure Interaction (SSI) period lengthening and foundation rocking frequency using Veletsos and Gazetas impedance formulations.

Soil-Structure Interaction (SSI) Foundation Rocking Frequency Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

T~T=1+kfixedKx+kfixedh2Kθ\frac{\tilde{T}}{T} = \sqrt{1 + \frac{k_{fixed}}{K_x} + \frac{k_{fixed} h^2}{K_\theta}}

Quantifies kinematic and inertial Soil-Structure Interaction (SSI) period lengthening and foundation rocking frequency using Veletsos and Gazetas impedance formulations.

How to Use the Soil-Structure Interaction (SSI) Foundation Rocking Frequency Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Soil-Structure Interaction (SSI) Foundation Rocking Frequency Calculator Example

Input Values:

fixedBaseNaturalFrequencyF0Hz:2.5
foundationWidth2BM:12.0
structureEffectiveHeightHM:18.0
structuralTotalMassMKg:1200000.0
soilShearModulusGPa:65.0
soilPoissonsRatioNu:0.35
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required Hz.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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