Floor Frequency Vibration

Reference data and engineering information about floor frequency vibration for mechanics applications.

floorfrequencyvibration

Overview

Engineering reference data for Floor Frequency Vibration in mechanics.

Key Formulas

Newton's Second Law

$F = ma$

Force = mass × acceleration.

Work

$W = Fd\cos\theta$

Work = force × displacement × cos(angle).

Kinetic Energy

$E_k = \frac{1}{2}mv^2$

Energy of motion.

Potential Energy

$E_p = mgh$

Gravitational potential energy.

Variables

Symbol	Description	Unit
$F$	Force	N
$m$	Mass	kg
$a$	Acceleration	m/s²
$v$	Velocity	m/s

Resonate Frequencies

The resonate frequencies of floor constructions depend on their span and the underlying materials. Below are typical values.

12 rows

Typical resonate frequencies for different floor constructions and ground materials.
Component / Material	Span / Condition(m)	Resonate Frequency Range(Hz)
Wooden Beam Floor	3	12
Wooden Beam Floor	6	9
Wooden Beam Floor	9	7
Wooden Beam Floor	12	6
Wooden Beam Floor	18	5
Concrete Floor on Ground	-	10 - 100 (depends on ground)
Ground: Sand	-	15 - 25
Ground: Clay, wet	-	15
Ground: Clay, hard	-	30
Ground: Gravel	-	20 - 25
Ground: Limestone	-	35 - 45
Ground: Solid rock	-	40 - 50

Source: engineeringtoolbox.com

Force Frequency from Human Cadence

The frequency of force generated by human activities like running can be estimated from the cadence (steps per minute).

Formula: $f = \frac{C}{60}$

Where:

$f$ is the force frequency (Hz)
$C$ is the cadence (steps/minute)

Example Calculations:

Everyday runner ( $C = 150$ steps/min): $f = \frac{150}{60} = 2.5 \text{ Hz}$
Elite runner ( $C = 200$ steps/min): $f = \frac{200}{60} \approx 3.3 \text{ Hz}$

Interactive Charts

Wooden floor beams - resonate frequencies vs. joist span

References

Original Source

Source: engineeringtoolbox.com