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MAG DEF. SUB - SIESMIC ANALYSIS.pdfSeismic Analysis ROTARY LIFT A DOVER INDUSTRIES COMPANY CITY COPY Vb\'ozvmpilea MAR BUILDING DED:Y- Mk��i`i CITY OfiEDM;, SEISMIC ANALYSIS OF THE SL210 INGROUND TWO POST LIFT SITE CLASS D SPECTRAL RESPONSE ACCELERATION <_ .75 Peterson • Strehle 9 Martinson, Inc. CONSULTING ENGINEERS By MSV pate 3/8/18 0 NO EXCEPTIONS TAKEN ❑ REVISE AND RESUBMIT ❑ MAKE CORRECTIONS NOTED ❑ REJECTED PWi9w is only for general conforawce with the design oonoept aced gowal cornpfianoe with tie oor bW docurnerrts. Contractor wwrirrs reeponsk* for correlaring dimensions and quwntitfes, sekcft fabrication procesees and techniques of conWuctfon, cooed a ft the work of other trades, and perfomft the wolfs in a We and sF kib-Mory manner. BY KEITH SIDDALL SENIOR DESIGN ENGINEER April 22, 2016 Rev - 1 Copyright 2016 Rotary Lift Seismic Analysis Lift Loading - • The test requirements set forth by the ANSUALI (Automotive Lift Institute) state that for this Class 1 lift, the simulation load shall be distributed on a 37" x 68" rectangle with the weight shifted as far rearward as possible. This layout is shown in figure 1 below: • Rotary Lift's ALI listed lifts have been verified to be able to support3 times the lift capacity without fracture of any lift components. This assures that the lift will handle vertical seismic forces generated by an earthquake. / I n Moment Analysis from Load - C = capacity of lift in lbs W = total weight of lift components above grade at full rise in lbs D1= distance from load frame to cylinder in inches D2= distance from center of gravity to cylinder in inches x= height at full rise in inches M.:= (C2W) bf DI M,,=48586.73 in MYY:= (C+W) •D2 Myy=51129.38 in•Ibf 2 C:=10000.1bf W:=1055 • Ibf D1:= 8.79 • in D2 := 9.25 • in x:=81 -in 2 Copyright 2016 Rotary Lift Seismic Analysis Seismic Input - Seismic Force (on one plunger and guide barrel): • The seismic force on a fully loaded lift is found using equation #13.3.1 from section 13.3 of the ASCE 7-10 Minimum Demon Load for Buildings and Other Structures Site Class A Hard Rock B Rock C Very Dense Soil and Soft Rock D Stiff Soil E Soft Clay Soil F Soils requiring site response analysis. This beyond of the scope of this worksheet Site Class:_ "D" Enter Site Class Enter Maximum Considered Earthquake Spectral Response SS :_ .75 Acceleration Parameter at Short Period from Maps Fa =1.2 Site Coefficient, Fa from Table 11.4-1, ASCE 7-10 Maximum Considered Earthquake Spectral Response for Short Stirs'=Fa • SS Stirs= 0.9 Periods Eq. 11.4-1, ASCE 7-10 SDs 3 . S,yrs Design Spectral Acceleration Parameter, Eq. 11.4-3, ASCE 7-10 S Ds =0.6 ap:=1 ASCE 7-10, Table 13.5-1 Coefficients for Architectural Component, Rigid Component with low deformability anchors Rp :=1.5 ASCE 7-10, Table 13.5-1 Coefficients for Architectural Component, Rigid Component with low deformability anchors z := 0 • in Height of structure of point of attachment of component with respect to the base. For items at or below the base, z shall be taken as 0. h := 144 • in N/A, Average roof height of structure with respect to the base Ip :=1 Component Importance Factor Wp := 2 + 2 Wp = Mass of Vehicle & Lift (per each column) 3 Copyright 2016 Rotary Lift Seismic Analysis 0.4•a •SDs•Wp Z� iR 1 • I 1+ 2• h l \ pp / Fso = 8 84.4 lbf Fs = Seismic Design Force ASCE 7-10 Equation 13.3-1 - Checking Minimum Lateral Force Value (eq. 13.3-3): MINFs := 0.3 • SDs • Ip • Wp MINFs = 4425.8 N - Checking Maximum Lateral Force Value (eq. 13.3-2): MAXFs =1.65 • SDs • Ip • Wp Fso = 994.95 lbf - Overstrength factor (Sao from Table. 13.5-1): Sao:= 1.5 Fs:= Fso•Sap Seismic Moment: Ms:= Fs•x Ms=120886 in • lbf Foundation Loads - MAXFs = 24341.7 N Fs=1492.43 lbf • The plungers of the SL210 are constrained by the guide barrels, which are bolted to the lift frame along with the housing flange. The fit between the guide barrels and the frame channels are such that horizontal loads are transferred to the frame channels (see figure 4). Therefore, when concrete is poured to approximately the depth of the lower bearing of the guide barrel, the floor will take all reaction loads in that direction. • The housing flange_ handles all the vertical loads which are not controlling the design. • The frame handles all horizontal loads which we have detailed below. 4 Copyright 2016 Rotary Lift Seismic Analysis I&EF• HOR1713WAL LONOV E �csls�ENr� �rlpTr L. J 1-4 v� L. y 5&91" VIREAL COW-REIE tts HORIZONTAL CONCRETE R[SISTENCE LENGIH RESISTENCE LENGTH L.J I -A Vh x 1 L u 2i.57' VERT]EAL CONEMIE PEOVENEE ir]]f'[H GM911 GU1BE WRELuw LPPER rLAlf,E.— .. AND HOUSING HON& rASTENEA 4ATH BR.IS ' F' 1YP VER]]CAL CONCREIE RMVAKE FRAME COANNEL AMG UPPER FLANGE CALL CWNIELL AK ti.LIDEL w u:IKP fLMO:ti MNTp]NyENT 11J9E OVER BEPR]NG III WX BA KV .JuFn .•�'�A i rh PL LINGER CON1AIMfN1 TUBE 4�:' �, fFPNE C1+PTF]CLS MP[P ZO11k PLIGKf! .�:~;. .� I �:�: TYP. 6 PAIPS rGURE d - Liu ]NSTALLAT]ON CROSS-SECTION 5 Copyright 2016 Rotary Lift Seismic Analysis • The worst case in both directions is when the full seismic load is in that direction. Sum of Maximum Moments: X - direction: M,11,1x:=2-Mxx+2•Ms M,,,a,=338946.3 in•lbf Y - direction: Mt. ,aIx: = 2 • Myy + 2 • MS M1.1aly = 344031.6 in • lbf CENTER or LOVER BEARING GLOME DSRRID F concr eie 18" M] N o a • a a, O PLUNGER CONTAINMENT TUBE FRAME CHANNELS "KP 5101IN av[m ! . . . TYP. 6 PAIRS .•.•...•. � .•.'... fir_ 9° _ F soil FORCE DISTRIBUTION ON CONCRETE AND SOIL FROM SEISMIC LOADING 6 Copyright 2016 Rotary Lift Seismic Analysis Maximum horizontal loads transfered to slab: Ratio := 3 f Ratio � Mm[lJLconcretex'— �Ratio + 1 ) • Mt ot-h Mmaxconcretex = 254209.73 in • lbf Ratio 1 Mmaxconcretey : Mtowy `Ratio + I Mmaxconcretey = 258023.7 in • lbf depthconcrete:= 18 • in lengthx := 56.91 • in 2 ' Fcatcretex - depth.,,.,, liMmaxconcretex = 3 Fconcretex = 21184.14 lbf Ratio of concrete resistance to soil resistance Moment of seismic force on concrete Depth of concrete Effective Frame Channel Length Equation for maximum moment for distributed load Solve for the force on the concrete Aconcretex:=depthconcrete • lengthx Aconcretex= 1024.38 in Area of concrete under moment Fconcretex Fconcretex Fconcretex = 20.68 psi Average pressure on concrete := Aconeretex Effective Frame Channel Width width.,:=16.218 • in Mmax = 2, Fconcrerey, depthco,,,.,e Equation for maximum concrete., moment for distributed load Fconcretey = 21501.98 lbf Solve for the force on the concrete Aconcretey := depthconcrete • widthy Aconcretey = 291.92 in 2 Area of concrete under moment Feoneretey Pconcretey:= 73.66 psi Aconcretey Pconcretey — — Average pressure on concrete 7 Copyright 2016 Rotary Lift Seismic Analysis Maximum horizontal loads transfered to soil: Mmaxsoirx •= i I 1 Mtotalx MmaxsotIx = 84736.58 in • lbf lZario + ►� • Moment of seismic force on soil Mmaxsoiry:= I Ratio + i� • Mtotary depthsoir := (105 —18) • in length,, = 56.91 in 2 • F,orrx • depth., ,I Mmaxsoitx = 3 Fsoilx= 1460.98 lbf Asoirx := depthsoir • lengthx Fsorrx PSOUX :_ Asoirx widths =16.22 in 2 • F,orry • depthsoir MmC7xsoity = 3 Fsoi/y = 1482.89 lbf Asoily := depthsoir • widthy Fsoay psoily °_ Asoily Mmaxsoiry = 86007.9 in • lbf depthsoil = 87 in Depth of soil Effective Frame Channel Length Equation for maximum moment for distributed load Solve for the force on the soil Asoirx = 4951.17 inZ Area of soil under moment psoir,, = 0.3 psi Average pressure on soil Effective Frame Channel Width Equation for maximum moment for distributed load Solve for the force on the soil Asoily= 1410.97 in Area of soil under moment psoay= LOS psi Average pressure on soil 8 Copyright 2016 Rotary Lift