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1 Ver STEEL BEAM FLOOR VIBRATION ANALYSIS Input Parameters Description: Example 4.4 Ex 4.6 Revised Example 4.8 Example 4.10 Floor Width (perp to beams) ft Floor Length (perp to girders) ft Deck Properties: Concrete Density pcf Concrete Strength psi Concrete thickness above ribs in Deck thickness in Beam Properties: W18X35 User1 W18X35 W18X35 Section area in Section depth in Moment of Inertia in Beam weight plf Beam span ft Beam spacing ft Girder Properties: W21X50 W30X90 W21X50 W21X50 Section area in Section depth in Moment of Inertia in Girder weight plf Girder span ft Adjacent Bm span-enter zero ft if interior edge girder Loading Information: Non slab, deck & beam dead load psf Total floor system dead load psf Live load for dynamic analysis psf Vibration Analysis Parameters: Office, Residential or Church - B=0.03 Damping ratio, Drop load, Po lbs Peak Acceleration (% of gravity): 0.50% 0.50% 0.50% 0.50% Beam Effective Panel Wt Factor: Cj Girder Effective Panel Wt Factor: Cg Coef. for Continuity of Beams: Coef. for Continuity of Girders: Output Parameters - Results Peak Acceleration (% of gravity): 0.48% 0.24% 0.63% 0.74% First Natural Frequency: Hz 4.03 # Floor stiffness kips/in N/A 61.4 N/A N/A denotes peak acceleration exceeds max recommended # denotes > 9Hz - Therefore, floor stiffness needs to be >= 5.7 k/in Okay - Floor stiffness is greater than 5.7 k/in
2 Calculations Beam mode properties Effective slab width ft Ec dynamic concrete modulus ksi n modular ratio /y centroid of section in Ij transformed moment of inertia in wj uniform distributed beam load plf j beam deflection in fj beam fundamental frequency Hz de average concrete thickness in Ds I per unit width in slab direction in 4 /ft Dj I per unit width in beam direction in 4 /ft /3 Floor Width ft Bj effective beam panel width ft Wj weight of beam panel kips Girder Mode Properties Lj average Lj ft effective slab width ft Ec dynamic concrete modulus ksi n modular ratio de average concrete thickness in /y centroid of section in Ig transformed moment of inertia in wg uniformly distributed girder loadin plf Lg / Bj g Girder deflection in g' Adjusted girder deflection in fg girder fundamental frequency Hz Dj I per unit width in beam direction in4/ft Dg I per unit width in girder direction in4/ft /3 Floor Width ft Bg effective girder panel width ft Wg girder panel weight kips Combined Mode Properties fn Floor fundamental frequency Hz W equivalent floor panel weight kips W units of lbs. lbs a p / g acceleration % of gravity Stiffness Criterion de / S Lj4 / It Lj / S Neff Number of effective beams oj Single beam static deflection in jp Beam static deflection in gp Girder static deflection (.225k) in p Total static deflection in Kfloor Floor stiffness (>5.7 k/in) kips/in
3 Peak Acceleration First Natural Frequency Example 4.4 Ex 4.6 Revised Example 4.8 Example 4.10 STEEL BEAM GRAPH Outdoor footbridges, rhythmic activities Indoor footbridges,malls, dining & dancing Offices, churches & residences ISO Baseline
4 Ver Input Parameters STEEL JOIST FLOOR VIBRATION ANALYSIS Description: Example 4.6 Ex 4.6 Revised Ex 4.6 Rev2 Ex 4.6 Rev3 Floor Width (perp to joists) ft Floor Length (perp to girders) ft Deck Properties: Concrete density pcf Concrete strength psi Concrete thickness above ribs in Deck thickness in Joist Properties: Joist designation 30k8 18k6 26k6 28k6 Joist depth in Joist span ft Total load capacity plf Joist spacing ft Joist seat depth in Girder Properties: W30X90 W21X44 W30X90 W27X84 Section area in Section depth in Moment of Inertia in Girder weight plf Girder span ft Adjacent joist span-enter zero ft if interior edge girder Loading Information: Non slab,deck & joist dead load psf Total floor system dead load psf Live load for dynamic analysis psf Vibration Analysis Parameters: Office, Residential or Church - B=0.03 Damping ratio, Drop load, Po lbs Peak Acceleration (% of gravity): 0.50% 0.50% 0.50% 0.50% Joist Effective Panel Wt Factor: Cj Girder Effective Panel Wt Factor: Cg Coef. for Continuity of Joists: Coef. for Continuity of Girders: Output Parameters - Results Peak Acceleration (% of gravity): 0.44% 1.16% 0.52% 0.50% First Natural Frequency: Hz 9.37# Floor stiffness kips/in 44.5 N/A N/A N/A denotes peak acceleration exceeds max recommended # denotes > 9Hz - Therefore, floor stiffness needs to be >= 5.7 k/in Okay - Floor stiffness is greater than 5.7 k/in
5 Calculations Joist mode properties Effective slab width ft Ec Dynamic concrete modulus ksi n Modular ratio Joist allowable tensile strength psi Ab Area bottom chord in At Area top chord in Yc Joist centroid from top in Ic Moment of inertia - chords in Approx joist weight plf /y Centroid of section in Icomp Transformed moment of inertia in Lj/d Joist span to depth ratio Cr Ieff Effective moment of inertia in wj Uniform distributed joist load plf j Joist deflection in fj Joist fundamental frequency Hz de Average concrete thickness in Ds I per unit width in slab direction in 4 /ft Dj I per unit width in joist direction in 4 /ft /3 Floor Width ft Bj Effective joist panel width ft Wj Weight of joist panel kips Girder Mode Properties Lj Average Lj ft Effective e slab width ft Ec Dynamic concrete modulus ksi n Modular ratio de Average concrete thickness in /y Centroid of section in Ig Transformed moment of inertia in Ig Adjusted moment of inertia in wg Uniformly distrib girder loading plf Lg / Bj g Girder deflection in g' Adjusted girder deflection in f g Girder fundamental frequency Hz Dj I per unit width in joist direction in4/ft Dg I per unit width in girder direction in4/ft /3 Floor Width ft Bg Effective girder panel width ft Wg Girder panel weight kips Combined Mode Properties fn Floor fundamental frequency Hz W Equivalent floor panel weight kips W Units of lbs. lbs a p / g Acceleration % of gravity Stiffness Criterion de / S Lj4 / It Lj / S Neff Number of effective joists oj Single joist static deflection in jp Joist static deflection in
6 gp Girder static deflection (.225k) in p Total static deflection in Kfloor Floor stiffness (>5.7 k/in) kips/in
7 Peak Acceleration First Natural Frequency Example 4.6 Ex 4.6 Revised Ex 4.6 Rev2 Ex 4.6 Rev3 STEEL JOIST GRAPH Outdoor footbridges, rhythmic activities Indoor footbridges,malls, dining & dancing Offices, churches & residences ISO Baseline
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