"PUMPFDN" --- PUMP FOUNDATIONS SUPPORTED ON SOIL Program Description: "PUMPFDN" is a spreadsheet program program written in MS-Excel for the purpose of analying "!loc-type" foundations foundations for !oth small and large pump pacages# Specifically$ Specifically$ for small pump pacages less than %$&&& l!s# in total weight$ the foundation is analyed in a simplistic manner in'ol'ing only the mass ratio and the 'ertical mode natural fre(uency# fre(uency# For large pump pacages e(ual to or greater than than %$&&& l!s# in total weight$ a simplified dynamic machine foundation damped 'i!ration analysis is performed for the 'ertical$ horiontal$ and rocing modes for the purpose of e'aluating foundation performance as related to pea-to-pea 'i!ration amplitudes and pea 'i!ration 'elocities# )he soil !earing pressure is also checed$ for !oth static and dynamic conditions# )his program is a wor!oo consisting of three *+, worsheets$ descri!ed as follows
Wors!eet Name
Description
Doc Small Pump /arge Pump
)his documentation sheet Simple .nalysis for Foundations for Small Pumps Simplified Dynamic Machine Foundation .nalysis for /arge Pumps
Program Assmptions an# Limitations: 0# )his program is !ased on the the following references references a# "Design of Structures and Foundations for 1i!rating Machines" !y Suresh 2# .rya$ Michael 3# 45Neill$ and 6eorge Pincus - 6ulf Pu!lishing 2ompany *%70898, !# "Foundation Design for 1i!rating Machines" !y Suresh 2# .rya$ :oland P#Drewyer$ and 6eorge Pincus - ;ydrocar!on ;ydrocar! on Processing Process ing *007089%, c# "Foundation "Foundation Design for :eciprocating 2ompressors" !y Suresh 2# .rya$ :oland P#Drewyer$ and 6eorge Pincus - ;ydrocar!on ;ydrocar! on Processing Process ing *%70899, d# "Pump Foundation" - Structural Engineering 6uideline &&&#<0%#0<<9 !y Fluor Enterprises *.ugust 0<$ <&&8, e# "1i!rating Machinery Foundations Foundations on Soil *Using Fre(uency =ndependent =ndependent 2riteria," Structural Engineering 6uideline &&&#<0%#0<++ &&&#<0%#0<++ - !y Fluor Enterprises *.pril 0+$ <&&8, f# ")he 6routing ;and!oo - . Step-!y-Step Step-!y-St ep 6uide to ;ea'y E(uipment 6routing" !y Don ;arrison *6ulf Pu!lishing Pu!lishi ng 2ompany$ <&&&, g# =nternational =nternational Standards 4rganiation =S4 08>&-0 *?7<&&+, "Mechanical 1i!ration - @alance Auality :e(uirements :e(uirements for :otors in a 2onstant *:igid, State" Part 0 "Specification and 1erification of @alance )olerances" <# For the purpose of this wor!oo$ small pump pacages are those with a total weight of less than %$&&& l!s#$ whereas large pump pacages are those with a total weight e(ual to or greater than %$&&& l!s# +# =n the "Small Pump" worsheet$ only the foundation foundation minimum width$ the mass *weight, ratio$ ratio$ the 'ertical mode natural fre(uency$ fre(uency$ and the static soil !earing pressure are checed# ># =n the "/arge Pump" worsheet$ initially initially the foundation minimum width and the the mass *weight, *weight, ratio are checed# )hen a simplified dynamic machine foundation foundation analysis for an assumed "!loc-type" foundation is performed# )his includes fre(uency ratio checs$ as well as a forced 'i!ration analysis for only the 'ertical$ horiontal$ and rocing modes of 'i!ration# *Note torsional7twisting torsional7twisting mode is not considered in this analysis#, .mplitudes and 'elocities 'elocities of 'i!ration 'i!ration are are determined$ determined$ and and the machine foundation foundation performance performance can then !e manually e'aluated !y the user from the "6eneral Machinery 1i!ration Se'erity 2hart which is included# Finally$ Finally$ !oth the static and dynamic soil !earing pressures are checed# %# =n the "/arge Pump" worsheet$ the assumed assumed dynamic analysis of a machine foundation supported on soil is made !y the commonly accepted approach of idealiing the foundation-soil system as a simple lumped-parameter lumped-parameter$$ mass-spring-dashpot 'i!rating system# )he "!loc-type" foundation is assumed to !e a rigid !ody 'i!rating on the surface of an elastic half-space# )he e(ui'alent soil spring represents the elastic resistance of the s oil$ while the dashpot represents the damping effect of the soil#
B# )his program contains Ccomment !oxes which contain a wide 'ariety of information including explanations of input or output items$ e(uations used$ data ta!les$ etc# *Note presence of a Ccomment !ox is denoted !y a Cred triangle in the upper right-hand corner of a cell# Merely mo'e the mouse pointer to the desired cell to 'iew the contents of that particular "comment !ox"#,
"PUMPFDN#xls" Program 1ersion 0#&
Losa De Fn#acion para $om%as apo&a#as en se'o
2odigo de Proyecto 2odigo de Documento
Ana'isis para Fn#acion #e $'o(es para Fn#aci)n Para %om%as pe(e*as +on n peso menor a , .. /gs0 2liente Diseo
Inpt Data: )ipo de @om!a Potencia $ ;P Peso del E(uipo$ 3e Frencuencia de 4peraciGn de la @om!a#$ fo Distancia entre /osa Superior y S;.F)$ Dps /argo de la fundacion$ /f .ncho de la Fundacion$ @f Espesor de la fundacion$ )f Densidad del 2oncreto $ gc 2oeficiente de @alasto$ )ension .dmisi!le del Suelo$ (a
2entrifugal
%& >&& 0<++ 0 <+ < 0 <%&& ? >
;P g :pm Mts Mts Mts Mts gf7m+ gf7cm+ Hgf7cm<
+!ec Wi#t! o1 Fon#ation: Shaft to @7Fdn#$ ;ps Min# Fdn# 3idth$ @f *min,
B#%B< 9#%99
ft#
+!ec Weig!t 2Mass3 Ratio: .ctual 3t# :atio$ 3: :e(5d# 3t# :atio$ 3:r
+&
Dps /osa de FundaciGn
)f
/f
Nomenc'atre
Res'ts:
ft#
;ps DpsI)f @f *min,
3: 3f73e J 3:r Use 3:r J + for centrifugal pump
Parameters 1or Determing Tota' S&stem Sti11ness an# Mass: Fdn# @ase .rea$ .f >8%#0> .f /fL@f ft#K< Foundation Stiffness$ H <#>9+EI&? l!#7ft# H *L09
*Note for 'ertical 'i!ration mode only#,
0B?8#>
rpm
+!ec Fre(enc& Ratio:
fn B&7* F: ,
F:
+
F: fo7fn Force# 4i%ration ana'&sis is rec
+!ec Soi' $earing Pressre 1or Static Loa#s On'&: Fdn# @ase .rea$ .f >8%#0> (s %0+#? Re1erence:
*Note limit actual to &#%Lallowa!le#, ft#K< psf
.f /fL@f (s *3eI3f,7.f &#%L(a
"Pump Foundation" - Structural Engineering 6uideline &&&#<0%#0<<9 !y Fluor Enterprises *.ugust 0<$ <&&8,
+omments:
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:e'iso
#/# Shaft
+&
;ps
@f *min, @f
Increase 5i#t!
O0/0
n# is neglected#,
Not #esira%'e ommen#e#
O0/0
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%& ??< 0<++ +#%8 B#%B< +#
hp l!s# rpm ft# ft# ft# ft# pcf pci psf
"PUMPFDN#xls" Program 1ersion 0#&
PUMP FOUNDATIONS SUPPORTED ON SOIL Simp'i1ie# D&namic Mac!ine Fon#ation Ana'&sis 1or "$'oc-T&pe" Fon#ations 1or Large Pmps 5it! Tota' E(ipment Pacage Weig!ts 67 89... '%s0 Oo! Name Su!ect Oo! Num!er 4riginator 2hecer Inpt Data: )ype of Pump Power :ating$ ;P E(uipment 3eight$ 3e Pump 4perating Fre(#$ fo Shaft to @7Frame$ Dps 2#6# to @7Frame$ ;cg 1ert# Dyn# Force$ Fo' ;ori# Dyn# Force$ Foh :oc# Dyn# )or(ue$ )o y Foundation /ength$ /f Foundation 3idth$ @f Foundation )hicness$ )f Fdn# Em!edment$ h 2oncrete Unit 3t#$ gc Soil Unit 3t#$ gs Soil Shear Modulus$ 6 Poisson5s :atio$ m .llow# Soil Press#$ (a
2entrifugal
3hen only the 'alues of rotor operating speed and rotor weight are a'ail the e(uipment supplier$ the dynamic machine un!alance force can !e conser'ati'ely estimated from the following empirical formula l!s# Fo *:otor Speed7B&&&,L:otor 3eight 2#/# Shaft rpm where F Un!alance Force *l!#, o ft# +& +& :otor Speed$ f o *rpm, ;cg 2#6# ft# Dps :otor 3eight *l!#, ;ps l!s# :eference "Foundations for Dynamic E(uipment" .2= +%0#+:-&> 3hen only the 'alues of rotor operating speed and rotor weight are a'aila!l l!s# "@loc" Foundation -----------------------------------------------------------------------------------------------the e(uipment supplier$ the dynamic machine)f un!alance force can !e h ft#-l!s# 3hen the 'alues of the rotor operating speed$ rotor weight$ and un!alan conser'ati'ely estimated from the following empirical formula @f *min, *eccentricity, are a'aila!le from the e(uipment supplier$ the dynamic ma ft# Fo *:otor Speed7B&&&,L:otor 3eight un!alance can !e determined dynamics formula /f ft# where Fo force Un!alance Force *l!#, from the following @f Fo :otor *mLe70<,L woK pcf :eference Notes: 0# Dynamic a simple$ lumped-parameter$ !etween the soil and the sides of the is !asedon3r7g m :otor Mass *l!#-sec#K<7ft#, ----------------------------------------------------------------------------------------------------pcf foundatiom# ;owe'er$mass-spring-dashpot 'i!rating system# )he e(ui'alent soil for cohesi'e soils$ g Soil .cceleration of 6ra'ity can +<#< ft#7sec#K< 3hen the 'alues of the rotor operating weight$ andthe un!alance )he 'alue of the Shear Modulus$ 6$speed$ !erotor o!tained from psi particularly those spring represents the elastic resistance of the soil$ !y while thecon'ert of the expansi'e type$ it e Mass Un!alance *eccentricity, *in#, *Note di'ide 0< to *eccentricity, are a'aila!le e(uipment supplier$ dynamic machin following e(uation !ased onfrom the the shear wa'e 'elocity$ ' sthe is !est to ignore the em!edment$ or at dashpot represents the damping effect of the soil# un!alance force can !e determined from the following dynamics formula 6 rsL'sK< gs7g *psi, assumewaow reduced em!edment psf least <# 4nly theFre(uency 'ertical$ horiontal$ and rocing modes of 'i!ration 4perating *rad#7sec#, o *mLe70<,L omass Fwhere K< depth soil sensity *l!#-sec#K<7ft#K>, r to !e used for analysis# )hus F **3r7g,Le70<,L*fo78#%>8,K< o are considered in this simplified dynamic analysis# o *l!#, wheregsUn!alance Force$ F soil unit weight *pcf, o where f 4perating Speed *rpm, 3r :otor +#3eight *l!#, Res'ts: 1i!ration analysis performed approximate$ since horiontal g acceleration due to gra'ity +<#8aremerely o f o7*&-0 *<&& +,$ )a!le Fre(uency *rad#7sec#, wo 4perating eper Lwo Machine :otor 2lassification Num!er *mm7sec#,L )hus F o6 **3r7g,Le70<,L*fo78#%>8,K< +!ec Weig!t 2Mass3 Ratio: eper Speed Permissi!le where f o where 4perating *rpm, Un!alance *l!#7in#,7l!# of :otor Mass Foundation 3eight$ 3f ++9%&#& l!s# 3f */fL@fL)f,L c f o78#%>8 Fre(uency *rad#7sec#, o g4perating f o7*#?< 3:Fo 3f73e J70<,L 3:r ----------------------------------------------------------------------------------------------------)hus *mLeper woK< mL*67+&>#?,Lwo *3r7g,L*67+&>#?,L*fo7 @ased onUse the rotor type the rotor operating the accepta!le dyna :e(5d# 3t# :atio$ 3:r + 3:rthe J"6" + and for centrifugal pump LNote num!ers shown in =S4speed$ 08>&-0 O0/0 )a!le 0 are referen machine un!alance force can also !e estimated from =nternational numerical 'alues with units of mm7sec# )hus$ firstStandard di'ide t 4rganiation =S4 08>&-0 *<&&+,$ applica!le )a!le)a!le 0 "6"0num!er !y <%#> to con'ert to in#7sec Determine E(i4a'ent +irc'ar Footing Ra#is 1or Eac! i%ration Mo#e: di'ide !y 0< ro con'ert to ft#7sec# 6 e Machine :otor 2lassification Num!er *mm7sec#,L per Lwothen 1ertical Mode ro' >#??B ro' SA:)*@fL/f7p, ft# where eper Permissi!le Un!alance *l!#7in#,7l!# of :otor Mass ;oriontal Mode roh >#??B roh SA:)*@fL/f7 p, ft# wo 4perating Fre(uency *rad#7sec#, :ocing Mode ro y ro >#B&& y */fL@fK+7*+Lp,,K*07>, ft# )hus F o *mLe per 70<,LwoK< mL*67+&>#?,Lwo *3r7g,L*67+&>#?,L*fo78#%> LNote the "6" num!ers shown in =S4 08>&-0 )a!le 0 are referencing Determine Tota' S&stem Mass an# Inertia 1or Eac! i%ration Mo#e: numerical 'alues with units of mm7sec# )hus$ first di'ide the .ccel# Due to 6ra'ity$ g +<#< g +<#< *a gi'en constant, ft#7secK< applica!le )a!le 0 "6" num!er !y <%#> to con'ert to in#7sec# an 1ertical Mode M' 0&>8#> l!#-secK<-ft# Iy *3fL*@fKB#9 >B#9 0>&#& 0&#&&& 9#%&& +#&&& 0#%&& 0%& 0<& +B&& &#+& <&&&
hp
*Note inertia of e(uipment a!out its own centroidal axis is neglected#,
Determine Spring +oe11icient 1or Rectang'ar Footings 1or Eac! i%ration Mo#e: 1ertical Mode b' Err%&< b' 'alue o!tained from Figure >-0 from :eference Q+# ;oriontal Mode bh X% bh 'alue o!tained from Figure >-0 from :eference Q+# :ocing Mode by &#>?% by 'alue o!tained from Figure >-0 from :eference Q+# *continued,
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Determine Spring +onstant Em%e#ment Factor 1or Eac! i%ration Mo#e: 1ertical Mode h' h' 0I&#BL*0- m,Lh7ro' 0#0<8 ;oriontal Mode hh 0#>,7*0-m,Lb'LSA:)*/fL@f,Lh' Hh >,LbhLSA:)*/fL@f,Lhh ;oriontal Mode Hh 0#>8%EI&9 l!#7ft# :ocing Mode H y <#%8?EI&? l!#-ft#7rad# Hy *6L0>>,7**0-m,LbyL/fL@fK rs gs7g 1ertical Mode @' &#%&8 @' *0-m,LM'7*>LrsLro'K+, @h *9-?Lm,LMh7*+?0 @y +L*0-m,LIy7*?LrsLroyK%, Determine Damping Ratio Em%e#ment Factor 1or Eac! i%ration Mo#e: 1ertical Mode a' 0#+?> a' 0I0#8L*0-m,Lh7roh7SA:)*h', ;oriontal Mode ah ah 0I0#8L*<-m,Lh7roh7SA:)*hh, 0#?9> :ocing Mode ay 0#&%> ay *0I L*0-m,Lh7royI&#BL*<-m,L*h7roy,K+,7SA:)*hy, Determine Tota' Damping Ratio 1or Eac! i%ration Mo#e: *Damping :atio geometric damping I internal damping#, )he Damping :atio is the sum of the D' *&#><%7SA:)*@',,L a' I &#&% % 1ertical Mode D' &#?9> geometric *radiation, )he Damping :atio isdamping the sum Iofthe theinternal ;oriontal Mode Dh &#B&& Dh *&#& can !e 'ery high$ particularly for !oth theis assumed &#&% for all + modes#, *Note internal material damping in soil damping in structures$ geometric damping 'ertical and horiontal modesfor of 'i!ration# Determine S&stem Natra' Fre(encies 1or Eac! i%ration Mo#e: can !e 'ery high$ particularly !oth the internal damping soil is of relati'ely 'ertical and modes 'i!ration# fn' horiontal B&7* O0/0 Err:8. Determine D&namic Magni1ication Factor 1or Eac! i%ration Mo#e: 1ertical Mode MF' Err%&< MF' F:'K<7SA:)**0-F:'K<,K =f *fnhLfn y,7SA:)*fnhK0>? , @..9 consi#er cop'ing Note Superposition will !e performed$ !ut coupling analysis is preferred# *continued,
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+om%ine ert0 an# ;ori<0 +omponents o1 Rocing Rotation to ert0 an# ;ori<0 Mo#e Amp'it#es: .'*total, .'I*.yL*@fL0<,7<, *taen at edge of fdn#, 1ertical Mode .'*total, Err%&< in# ;ori# Mode .h*total, &#&&&<%% in# .h*total, .hI*.yL*;psL0<,, *taen at 2#/# of shaft, Determine +om%ine# Pea-to-Pea Amp'it#e at Operating Fre(enc& 1or Eac! i%ration Mo#e: 1ertical Mode .'*ptp, Err%&< in# .'*ptp,
Determine D&manic Forces Transmitte# to ron# 1or Eac! i%ration Mo#e: 1ertical Mode Po' Err%&< l!s# Po' )F'LFo' ;oriontal Mode Poh +9#> Poh )FhLFoh l!s# :ocing Mode Moy Poy )FyL)oy 0>0#+ ft#-l!s# +!ec MaBimm Soi' $earing Pressre 1or Static Loa#s On'&: *Note limit actual to &#%Lallowa!le#, Fdn# @ase .rea$ .f 9%#&& .f /fL@f ft#K< (s %>+#+ (s *3eI3f,7.f &#%L(a O0/0 psf +!ec MaBimm Soi' $earing Pressre 1or Static C D&namic Loa#s: *Note limit actual to %Lallowa!le#, Fdn# @ase .rea$ .f 9%#&& .f /fL@f ft#K< (sd Err%&< psf (sd *3eI3fIPo',7.fI*MoyIPohL;ps,7*/fL@fK<7B, %L(a Err:8. Re1erences: 0# "Design of Structures and Foundations for 1i!rating Machines" !y Suresh 2# .rya$ Michael 3# 45Neill$ and 6eorge Pincus - 6ulf Pu!lishing 2ompany *%70898, <# "Foundation Design for 1i!rating Machines" !y Suresh 2# .rya$ :oland P#Drewyer$ and 6eorge Pincus - ;ydrocar!on Processing *007089%, +# "Foundation Design for :eciprocating 2ompressors" !y Suresh 2# .rya$ :oland P#Drewyer$ and 6eorge Pincus - ;ydrocar!on Processing *%70899, ># "Pump Foundation" - Structural Engineering 6uideline &&&#<0%#0<<9 !y Fluor Enterprises *.ugust 0<$ <&&8, %# "1i!rating Machinery Foundations on Soil *Using Fre(uency =ndependent 2riteria," Structural Engineering 6uideline &&&#<0%#0<++ - !y Fluor Enterprises *.pril 0+$ <&&8,
+omments:
*continued,
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"PUMPFDN#xls" Program 1ersion 0#&
ENERAL MA+;INER I$RATION SEERIT +;ART For se as a UIDE in #ging 4i%ration as a 5arning o1 impen#ing tro%'e0
Vibration Frequency - RPM
1alues shown are for filtered readings taen on the machine structure or !earing cap#
2Note: @mi' 7 .0..@ inc!3
(Chart by IRD Mechanalysis, Inc. - Columbus, Ohio - 1975)
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