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PROJECT :
PAGE :
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CLIENT :
DESIGN BY :
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JOB NO. :
DATE :
REVIEW BY :
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Two-Way Floor Vibration Design Based on The Structural Engineer, Vol. 94-1, 2016
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DESIGN CRITERIA
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1. Floor vibration can be felt strongly by human occupants of structures, if the maximum dynamic deflection of single walker with average
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weight more than (Diagonal Span / 35000).
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2. Typically, structures with fundamental natural frequencies in a range of 1.5 to 4 Hz would be at risk. The first resonant frequencies of
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composite floor between 6.5 and 7.5 Hz fall in the frequency range where human occupants are most sensitive in perceiving vibration.
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INPUT DATA & DESIGN SUMMARY
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THICKNESS OF FLOOR
t=2
in, (203 mm)
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DIMENSION
a=5
ft, (9.1 m)
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b=5
ft, (7.3 m)
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MODULUS OF ELASTICITY
E=100
ksi, (27789 MPa)
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POISSON'S RATIO
n=0,2
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DAMPING RATIO
x=0,05
, (ASCE 7-16/10 16.1 & 21.1.3)
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FLOOR UNIT WEIGHT
w=150lbs/ft3( 2401kg/m3)
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EDGE CONNECTION (1 or 2)
2
<== Simply Supported
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THE FLOOR DESIGN IS ADEQUATE.
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ANALYSIS
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179133,7179
, flexural rigidity of the uniform floor
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For Simply Supported
For Built-in/Fixed
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0,05
, generalized mass
0,03
, generalized mass
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177
, equivalent stiffness
362
, equivalent stiffness
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61,578
, circular frequency
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9,800
Hz, natural frequency
>7,5[Satisfactory]
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0,102
Sec, natural period
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0,287
, generalized damping
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32,167
in/sec2, maximum acceleration
whereF =150
lbs, average walker weight
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0,008
in, maximum dynamic deflection
<0,013in
[Satisfactory]
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References
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1. Andrew Robertson, MSc, Ceng, MIStructE, MICE: Simplified dynamic analysis of beams and slabs with tuned mass dampers. The Structural
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Engineer, Vol. 94-1, 2016.
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2. Reza Kashani, PhD, PE: Vibration abatement of rectangular, trapezoidal and irregular-shaped joist-framed floors, using tuned mass dampers.
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The Structural Engineer, Vol. 94-1, 2016.
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LICENSE NUMBER: Package License Including New Software Based on ASCE 41-17, ASCE 7-16, AISC 360/341/358-16
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www.Engineering-International.com
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