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Friction Pendulum Bearing (FPB) Seismic Isolation Calculator

Easily calculate and compute friction pendulum bearing (fpb) seismic isolation calculator with accurate equations, live formulas, and expert guidance.

Concave dish radius.

Composite slider friction (typically 0.03 to 0.08).

Seismic lateral displacement.

Calculated Result
3.75 s

Pendulum Period T_iso

Pendulum Period T_iso

3.75 s

Pendulum Period Seconds

3.753648075253831

Equiv Damping Percent

26.213755332782767

Radius Of Curvature M

3.5

Curvature Term

0.07142857142857142

3.75 — s

Calculation Breakdown

  1. Applied FormulaModels spherical sliding Friction Pendulum Bearings (FPB), calculating pendulum period T_p as a pure function of radius of curvature R, independent of building mass.T_p = 2\pi \sqrt{\frac{R}{g}}, \quad K_{\text{eff}} = \frac{W}{R} + \frac{\mu W}{D}

Friction Pendulum Isolation Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.91.92.83.8Pendulum Period T_iso

What Is the Friction Pendulum Bearing (FPB) Seismic Isolation Calculator?

This tool computes friction pendulum bearing (fpb) seismic isolation calculator with high precision arithmetic.

How Does the Friction Pendulum Bearing (FPB) Seismic Isolation Calculator Work?

Models spherical sliding Friction Pendulum Bearings (FPB), calculating pendulum period T_p as a pure function of radius of curvature R, independent of building mass.

Friction Pendulum Bearing (FPB) Seismic Isolation Calculator Formula & Variables

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

Tp=2πRg,Keff=WR+μWDT_p = 2\pi \sqrt{\frac{R}{g}}, \quad K_{\text{eff}} = \frac{W}{R} + \frac{\mu W}{D}

Models spherical sliding Friction Pendulum Bearings (FPB), calculating pendulum period T_p as a pure function of radius of curvature R, independent of building mass.

How to Use the Friction Pendulum Bearing (FPB) Seismic Isolation Calculator

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

Step-by-Step Example Calculation

Friction Pendulum Bearing (FPB) Seismic Isolation Calculator Example

Input Values:

radiusOfCurvatureM:3.5
frictionCoeffMu:0.05
designDisplacementM:0.25
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required s.

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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