Block-foundation-Dynamic-analysis.xls

ANALYSIS & DESIGN CALCULATION FOR BFP FOUNDATION Designed by

Checked by

Approved by

TABLE OF CONTENTS

SECTION 1

GENERAL DESCRIPTION

PAGE NO. 2 2

2

DESIGN PHILOSOPHY

2

3

DATA

2

4

STATIC DESIGN OF PUMP FOUNDATION

3

5

ECCENTRIC ICIITY CHECKS & IN INE ERTIA CALCULATIONS

7

6

CAL CA LCUL ULA ATIO ION N OF SP SPR RIN ING G CO CON NST STAN ANTS TS & DA DAM MPI PING NG RA RAT TIO IOS S 10

7

CHECK FOR ARIOUS SHEAR MODULUS ALUES

13

!

STABILITY CHECKS

15

"

REINFORCEMENT CALCULATION

16

APPENDI#$A

LOAD INPUT

APPENDI#$B

E#TRACT FROM REFERENCES


Checked by

Approved by

1.0 GENERAL DESCRIPTION% 1.1 SCOPE The purpose of this calculation is to design the foundation of the centrifugal pump (6 HDX 24A).

1.2 STANDARDS STANDARDS

endor dra!ing.

"lo!sere Dra!ing #$ %&&1%H'&67

efer Appendi* +A

Ar,a Ar,a- .- $/#eil- 0.-  incus- 3. (151). Design of tructures tructures and "oundations "oundations for irating 0achines. 3ulf ulishing 8ompan,. A89 %1.+&4

"oundations "oundations for d,namic e:uipment e:uipment

D' D' 4. 4.&& &&.& .&1. 1.& &+3 +3'# '#

tan tanda dard rd des desig ign n and and engi engine neer erin ing g of onsh onshor ore e stru structu cture res s

D' D' 4. 4.1 11. 1.&& &&.1 .12+ 2+3' 3'# #

3eot 3e otec echn hnic ical al and and fou found ndat atio ion n eng engin inee eeri ring ng onsh onshor ore e

2.0 DESIGN PHILOSOPHY% The pump and motor are mounted on an common s;id !hich is supported , a rectangular loc; foundation resting on soil. The loc; foundation foundation is designed for the pump and motor motor !eight as per endor dra!ing.

3.0 DATA% 3.1 M'()*+ D' C,-)('(

Design 8ompr. trength "/c

<

27.%

#?mm2

=nit !eight of concrete gc

<

24

;#?m

g!

<

1&

;#?m

<

%&

mm

<

41&

#?mm2

<

75.%

@#?m

=nit !eight of !ater

8onc 8oncre rete te co coer er for for fou found ndat atio ions ns8c 8c

(4&&& psi)

R(*-/,)((-'

>ield trength of steel unit !eight of steel

f,

(6&&&& psi)


Checked by

Approved by

1.0 GENERAL DESCRIPTION% 1.1 SCOPE The purpose of this calculation is to design the foundation of the centrifugal pump (6 HDX 24A).

1.2 STANDARDS STANDARDS

endor dra!ing.

"lo!sere Dra!ing #$ %&&1%H'&67

efer Appendi* +A

Ar,a Ar,a- .- $/#eil- 0.-  incus- 3. (151). Design of tructures tructures and "oundations "oundations for irating 0achines. 3ulf ulishing 8ompan,. A89 %1.+&4

"oundations "oundations for d,namic e:uipment e:uipment

D' D' 4. 4.&& &&.& .&1. 1.& &+3 +3'# '#

tan tanda dard rd des desig ign n and and engi engine neer erin ing g of onsh onshor ore e stru structu cture res s

D' D' 4. 4.1 11. 1.&& &&.1 .12+ 2+3' 3'# #

3eot 3e otec echn hnic ical al and and fou found ndat atio ion n eng engin inee eeri ring ng onsh onshor ore e

2.0 DESIGN PHILOSOPHY% The pump and motor are mounted on an common s;id !hich is supported , a rectangular loc; foundation resting on soil. The loc; foundation foundation is designed for the pump and motor motor !eight as per endor dra!ing.

3.0 DATA% 3.1 M'()*+ D' C,-)('(

Design 8ompr. trength "/c

<

27.%

#?mm2

=nit !eight of concrete gc

<

24

;#?m

g!

<

1&

;#?m

<

%&

mm

<

41&

#?mm2

<

75.%

@#?m

=nit !eight of !ater

8onc 8oncre rete te co coer er for for fou found ndat atio ions ns8c 8c

(4&&& psi)

R(*-/,)((-'

>ield trength of steel unit !eight of steel

f,

(6&&&& psi)

3.2 S,*+ D' =nit !eight of soil

gs

<

15.57 @#?m

8oefficient of friction

m

<

&.%

("rom 3eo tech report )

ANALYSIS & DESIGN CALCULATION FOR6 HD# 24A FOUNDATION Designed by

Checked by

Approved by

4.0 STATIC DESIGN OF PUMP FOUNDATION 4.1. DESIGN DATA 4.1.1 B+, D*(-*,-%

ength in X+direction

C

<

%.4

m

ength in B+direction

CC

<

2.

m

Height of the Cloc; Aoe "3

HCEA3

<

&.

m

Depth of "oundation from "3

<

1.7&

m

Total Height of Cloc;

D HC

<

2.&&

m

ength in B+direction(0otor?C Area)

Cm

<

2.& m

4.1.2 P D'%

ength of the s;id in X+direction



<

4.%&

m

idth of the s;id in B+direction

C

<

2.&&

m

Ht.of the s;id in >+direction

H

<

&.2%

m

#o. of anchor olts

<

12

Anchor Colts Dia 8?c distance et. far end olts along length- a

<

42

<

.54

m

8?8 distance et. far end olts along !idth-C a h Height of shaft from u?s of s;id

<

1.64

m

<

&.%

m

Depth of grouting considered

<

&.&%

m

0F B

e g r a f h o c s A i 8 D

> 8 of ump CC

hs

Ca Cs

Hs HCEA3 "3

HC

a

D

X

 C

0*

A# 9'

'8T9$# 9'

4.1.3 M,',) & BFBP D'%

ength of the s;id in X+direction

m

<

%.&&

m

idth of the s;id in B+direction

Cm

<

2.&&

m

Ht.of the loc; in >+direction

Hm

<

&.2%

m


Checked by

Approved by

4.1.4 U-*' (*'%

=nit !eight of concrete

nc

<

24

;#?mG

=nit !eight of ater

n!

<

1&

;#?mG

=nit !eight of soil

gs

<

15.57

;#?mG

8o+eff of friction et. oil  8oncrete



<

&.%

4.1.5 S'8*+*'9 L**'%

"inished 3round eel 'leation

<

1&&.&

m

5. m

Allo!ale oil Cearing ressure at 'leation

<

1&& ;#?mI

(#oteJ Cottom of lean concrete 'l. is 5. m.) Depth from finished ground to ottom of the foundation- d < &.&&

e:uired depth of lean concrete- t < Allo!ale earing pressure at ase of mat-

1.7& m

m <

1&& ;#?mI

"liding

<

1.%

"$ against $erturning

"$T

<

2

"$ against Cuo,anc,

"C=$

<

1.2%

"$ against liding

4.2 STATIC LOADS 4.2.1 P: M,',) & BFBP (*'% p ump eight< pr ump rotor eight<

1&&

;g

<

15.64

;#

%7&

;g

<

%.%

;#

0otor eight-

m

<

2%17

;g

<

24.6

;#

0otor rotor eight-

mr

<

7%%.1

;g

<

7.41

;#

Case eight of C"-



<

2%2&

;g

<

24.72

;#

C eight

p

<

;g

<

&.&&

;#

C rotor eight

&

;g

<

&.&&

;#

Case eight of C-

pr < p <

&

;g

<

&.&&

;#

$ther

o

&

;g

<

&.&&

;#

65.&%

;#

<

Total !eight of pump- <pL m L LpLpLo eight of concrete fill inside the s;id

<

(if no endor data- assume &K of ump !t)

(if no endor data- assume &K of motor !t)

(if no endor data- assume &K of motor !t)

cf1

< 4.%* 2 * &.2% * 24

<

%4

@#

cf2

< %* 2 * &.2% * 24

<

6&

@#

4.2.2 B,9-9 F,)(%

Cuo,anc, "orce

"

4.3 PRELIMINARY FOUNDATION CHECK% 4.3.1 C( /,) P+*-' S*;(%

<

C * CC * D * g!

<

%.4*2.*1.7*1&

<

211.14 @#


Checked by

0inimum olt edge distance- D min 0inimum edge of s;id to concrete-8min

Approved by

<

1%&

mm

<

&.1%

<

7%

mm

<

&.&7% m

m

Therefore 0in. plinth length re:uired

< (2 *Dmin)LaLm < (2 * &.1% ) L (.54L%) < ( 2 * 8min ) L sLm < (2*&.&7% ) L (4.%L%)

0in. plinth length re:uired

< 0a* of the aoe

<

4.14

<

4.6%

<

4.6%

m m

m M

%.4

m

2.

m

H(-( O.K

< ( 2 * Dmin ) L a < ( 2 * 8min ) L Cs

0in. plinth !idth re:uired 0in. plinth !idth re:uired

< ( 2 * &.1% ) L 1.64

<

1.4

m

< ( 2 * &.&7% ) L 2

<

2.1%

m

< 0a* of the aoe

<

2.1%

m M

H(-( O.K 4.3.2 C( /,) F,-<'*,- D('%

0in. foundation depth

< &.6& L ?&

( here  is greater of length or !idth in meters )

<

M

&.75& m

2

m H(-( O.K

4.3.3 C( /,) F,-<'*,- (*'%

"oundation !eight should e greater than  times the total !eight of the pump0achine or ump total !eight-  < 65.&% ;# "oundation !eight-  f

< (%.4 * 2. * 2 * 24 ) <

%6.16 @#

N  times the pump !eight H(-( O.K

4.3.4 P)(+**-)9 C( /,) B()-* )()(%

Total ertical force

">

<  L cf1 Lcf2L f < 65.&% L %4 L 6& L %6.16

<

71!.21

KN

<

752.24

KN

Total ertical force !ith %&K impact load < "> L %&K   ",i

< 715.21 L &.% * 65.&%

0oment due to impact load (i.e.2%K of pump !eight acting laterall, at shaft leel) Total 0om in ong. Direction

0X

< 0*E9 <

50.1"

KN

0F

< &.2% * 65.&% * (&.% L &. L 1.7 ) < 0FE9 < &.2% * 65.&% * (&.% L &. L 1.7 )

<

50.1"

KN

at Cottom of ase Total 0om in Tran. Direction at Cottom of ase 0a*imum Case ressure at founding depth elo! H

0AX

<  ? A L 0X ? BX


Checked by

Approved by

< (7%2.24 ? (4.% * 2. L % * 2. )) L (%&.1 * 6 ? (4.% * 2.O2 L % * 2.O2 )) <

4&.42

@#?m2

=

5&

@#?m2 (5&K of allo!ale) H(-( O.K

0AX

<  ? A L 0B ? BB

< (7%2.24 ? (4.% * 2. L 2. * % )) L (%&.1 * 6 ? (2. * 4.%O2 L 2. * %O2 )) <

7.2

@#?m2

=

5&

@#?m2 H(-( O.K


Checked by

Approved by

4.4 DYNAMIC LOADS INPUT 4.4.1 P <'%

ocation #o Description

otor !eight ;#

peed wm(rpm)

D,namic forces from endor data

D,namic forceP

ertical

ongitudinal

ateral

;#

", (;#)

"* (;#)

"F (;#)

oc;ing

itching

f (;#m) Ty (;#m)

1

ump

%.%

15&&

1.65

&

&

&

&

&

2

0otor

7.41

15&&

2.22

&

&

&

&

&



C

&.&&

&

&.&&

&

&

&

&

&

P D,namic force (;#) < (otor !eight )*(otor speed-r.p.-m) ? 6&&& A89 %1.+&4 e:. .7 8l. .2.2.1d

("rom 3eo tech report )

4.4.2 S,*+ & F,-<'*,- )('() /,) D9-* +,<

D,namic hear 0odulus( 3 d,n )

<

117577

oisson ratio- n oil internal damping ratio (D y)

<

&.%

<

&.&2

Allo!ale eccentricit, of 8.3.in X+direction-*

<

<

&.&% * %.4

<

&.27

m

Allo!ale eccentricit, of 8.3.in B+direction-F

<

%K of C %K of CC

<

&.&% * 2.

<

&.11%

m

8.3.in >+direction-,

<

Celo! T$8

<

2

<

2

m

Damped #atural "re:uencies shall e less than

<

&.5

wm

<

&.5 * 15&&

<

144&

rpm

<

1.2

wm

<

1.2 * 15&&

<

216&

rpm

@#?m2

4.4.3 A++,>8+( +**' /,) <(*-

or

more than

Allo!ale pea;+to+pea; amplitude

<

ange of shear modulus (3) alues to consider

<

16 microns &.%

to

"ig .7 1

5 ECCENTRICITY CHECK & INERTIA CALCULATIONS ('ccentricit, of 8.3. of machineLfoundation s,stem to e chec;ed in all  directions !.r.t. 8.3 of foundation)

B

> 8 of ump

8.3

8.3 HC

D


Checked by

Approved by

5.1 COMPUTATION OF CG OF BASE BLOCK

E+((-'

D*(-*,-?@

A)( C,,)<*-'( ,/ CG S''* ,(-' ,/ ?2@ ,/ (+((-' )( Ai *i(m) Fi(m) ,i(m) AiPXi AiPBi AiP>i

*i

Fi

,iP

ump

+

+

+

1.2

1.25 .&&

+

+

+

0otor

+

+

+

.14

1.2& .&&

+

+

+

C

+

+

+

+

+

+

;id1 ;id2 0atEC" 0otor?pump %.&& 2.&

2

Total

11.%

2.%&

1.1% 1.&&

25.5

1.2

11.%

11.50

6.!6

3.63 7.00

2!.!

13.2

11.5

P 8oncrete fill in s;id and grout thic;ness included in height of loc; for 83 8alculation 8.3. of "oundation -* dir+- X

<

å AiXi?å Ai

<

25.7% ? 11.%

<

2.%&&

8.3. of "oundation -F dir+- B

<

å AiBi?å Ai

<

1.22% ? 11.%

<

1.1%& m

8.3. of "oundation -, dir+- >

<

å Ai>i?å Ai

<

11.% ? 11.%

<

1.&&& m

m

5.2 COMPUTATION OF CG OF MACHINE & FOUNDATION BLOCK

E+((-' (*'

M *

i (;#) ;#sec2?m

C,,)<*-'( ,/ CG ,/ (+((-'

*i

Fi

,i

S''* ,(-' ,/  ?NS( 2@

mi*i

miFi

mi,i

C"

15.64

1.

1.2

1.25

.&& 2.

2.42

%.7&

0otor

24.6

2.%2

.14

1.2&

.&& 7.1

.&2

7.%6

C

&.&&

&

&.&&

&.&&

&.&&

&

&.&&

&.&&

;id1

&

&

&.&&

&.&&

&.&&

&

&.&&

&.&&

;id2

&

&

&.&&

&.&&

&.&&

&

&.&&

&.&&

0atEC"

&

&

&.&&

&.&&

&.&&

&

&.&&

&.&&

0atE0otor

%%2

%6.27

2.%&

1.1%

1.&&

141

64.71

%6.27

Total

5"5.33

60.6"

6.!6

3.63

7.00

151

70

70

8omined 8.3. in X direction-* < 8omined 8.3. in B direction-F <

Smi.*i?Smi

<

1%&.11%4?6&.6

<

2.4

m

Smi.Fi?Smi

<

7&.1%7?6&.6

<

1.16

m

8omined 8.3. in > direction-, <

Smi.,i?Smi

<

6.%?6&.6

<

1.1%

m

5.3 ECCENTRICITY OF CG OF FOUNDATION SYSTEM .R.T. BASE BLOCK?( >*' +**' *- 4.4.3@

'ccentricit, in X direction (*+* &)

< <

2.% + 2.4 &.&1

m

M

&.27

m

H(-( OK


Checked by

'ccentricit, in B direction (F+F &)

in > direction- , &

<

1.1% + 1.16

<

+&.&1

<

1.1%

'lements

mi

mass moment of inertia of indiidual elements at its o!n a*is

9* < mi ?12 P(,i2LFi2 ;#sec2?m )

M M

&.11% m 2

H(-( OK

m

H(-( OK

(Tale 4.6 of Ar,a- #eil  incus)

5.4 MASS MOMENTS OF INERTIA AND INERTIA RATIOS

mass

m

Approved by

0ass moment of inertia of Distance et!een common 8.3.  8.3. !hole s,stem aout commo of indiidual elements (m) 83

9, < mi ?12 P(*i2LFi 2)

9F < mi ?12 P(*i2L,i2)

*oi *o + *i

Foi Fo + Fi

,oi ,o + ,i

9* < miP (,oi2LFoi2)

9, < miP 9F < miP (*oi2LFoi2) (*oi2L,oi

C"

1.

+

+

+

1.26

+&.11%

+1.5%

6.%25

.1

.%

0otor

2.%2

+

+

+

+&.6%

+&.&4

+1.5%

5.62

1.1

.7

C

&

+

+

+

2.4

1.16

1.1%

&.&&&

&.&

&.&

;id1

&

&.&&&

&.&&&

&.&&&

2.4

1.16

1.1%

&.&&&

&.&

&.&

;id2

&

&.&&&

&.&&&

&.&&&

2.4

1.16

1.1%

&.&&&

&.&

&.&

C"E0at

&

&.&&&

&.&&&

&.&&&

2.4

1.16

1.1%

&.&&&

&.&

&.&

0otorE0at

%6.27

4.%62

142.&%

1%.56

+&.&1

&.&1

&.1%

1.272

&.&

1.

T,'+

60.6"

43.562

142.035

135.""

16.43

4.13

20.4"

0ass 0oment of 9nertia of the !hole s,stem aout each a*is passing through the common 8.3.  perpendicular to the plane of iration 9o*

<

1?12 * Smi(l,i2LlFi2)LSmi(,oi2LFoi2)

<

4.%62 L 16.42

< 9oF

;# sec +m

1?12 * Smi(l*i2Ll,i2)LSmi(*oi2L,oi2)

<

1%.56 L 2&.456 1%6.%

;# sec 2+m

<

1?12 * Smi(l*i2LlFi2)LSmi(*oi2LFoi2)

<

142.&% L 4.126

<

146.16

9* < 9o* L m., o2

atio et!een moments o inertia

g*

< %.1 L 6&.6 * 1.1%O2 2

< <

9o,

6&.&

0ass 0oment of 9nertia of the !hole s,stem aout each a*is passing through the centroid of the ase area  perpendicular to the plane of iration

<

14&.

;# sec +m

26.7

;# sec2+m

9, < 9o, <

146.16

<

gF

< 1%6.472 L 6&.6 * 1.1%O2 <

< %.1 ? 14&.2%4

2

9F < 9oF L m., o2

;# sec 2+m

;# sec 2+m

0ass moment of inertia effectie against roc;ing e*citation - 9 f

<

14&.2%

;# sec 2+m

0ass moment of inertia effectie against pitching e*citation -9 y

<

26.74

;# sec 2+m

0ass moment of inertia effectie against cross e*citation -9 t

<

146.16

;# sec 2+m

< 9o*?9* &.425

< 9oF?9F < 1%6.472 ? 26.7% <

&.661


Checked by

'ffectie 0ass for translation (oth ertical and HoriFontal) e*citation -m c

<

6&.6

Approved by

;# sec 2?m

6 CALCULATION OF SPRING CONSTANTS & DAMPING RATIOS C

<

%.4

m

Ca

<

2.

m

C ? a CC ?  C

<

%.4 ? 2.

<

2.%

<

2. ? %.4

<

&.4

<

1.7&

ength in X+direction Aerage idth in B+direction ?C atio C? atio

depth of foundation emedment elo! grade- h

m

6.1 SPRING CONSTANTS (Tale 4.1  4.2 of Ar,a- #eil  incus + efer Appendi*+C) M,<( ,/ *8)'*,-

G(,(')9 /',)

E*+(-' )<* ) 0

E8(<(-' ,(//**(-'

S)*- C,-'-'

"ig4.1(Ar,a) R,

ertical > b, <

QQQ

@,

< (C?p)&.%

< 1L&.6(1+n)(h?r &)

< (3?(1+n)) b, (C ) &.% R,

< (2.*%.4?.14)O&.%

< 1L&.6*(1+&.%)*(1.7?1.55)

< 117577?(1+&.%)*2.262* (2.*%.4)O&.%*1.4

(efer bF alue in the "ig 4.1)

HoriFontalb* < X-B

QQQ

<

QQQ

1.4

< 125%24 ;#?m @*

< (C?p)&.%

< 1L&.%%(2+n)(h?r &)

<

2(1Ln)3 b*(C)&.% R*

< (2.*%.4?.14)O&.%

< 1L&.%%*(2+&.%)*(1.7?1.55)

<

2P(1L&.%)*117577*&. (2.*%.4)O&.%*1.75

<

QQQ

QQQ

< Rf

1.75

<

1%&6&& ;#?m

@f 

< (C ?p)

< 1L1.2(1+n)(h?r &)L&.2(2+n)(h?r o)

< (3?(1+n)) bf (C2) RS

< (2.*%.4O?*.14)O&.2%

< 1L1.2*(1+&.%)*(1.7?2.4)L

< 117577?(1+&.%)*&.6%*



oc;ing f bf <

< R*

&.2%

&.2*(2+&.%)*(1.7?2.4)O <

itching y by <

QQQ

QQQ

< Ry

1.65

<

126%&521

;#?m?radian

@y 

< (C?p)&.2%

< 1L1.2(1+n)(h?r &)L&.2(2+n)(h?r o)

< (3?(1+n)) by (C2) Ry

< (2.O*%.4?*.14)O&.2%

< 1L1.2*(1+&.%)*(1.7?1.62%)L

< (117577?(1+&.%)*&.4

&.2*(2+&.%)*(1.7?1.62%)O

(efer for CC?C ratio in "ig 4.1)

(2.*%.4O2)*1.65

<

QQQ

<

(2.O2*%.4)*2.14

2.14

< 421411 ;#?m?radian

6.2.0 CALCULATION OF DYNAMIC FORCES ?*- '( 8(-( ,/ (-<,) <'@

ocation #o Description 1

ump

otor !eight

peed

D,namic force

oint of Application at haft ocationP

8omined 8.3 of machine and foundation

;#

!m(rpm)

;#

X(m)

>(m)

B(m)

Xo (m)

>o (m)

Bo(m)

%.%

15&&

1.677

1.227

.&&&

1.27%

2.4&

1.1%&

1.16&


2

0otor

Checked by

7.41

15&&

2.22

.14

Approved by

.&&&

1.2&&

2.4&

1.1%&

1.16&

Pump and motor locations assumed at ?4  ?4 in X+direction respectiel,. 6.2.1 D9-* /,)(

ateral Description translation

#o

ongitudinal translationP

ertical translation

oc;ing (Due to ateral itching translation)

oc;ing (due to shaft ecentricit,

"F(;#)

"*(;#)

",(;#)

01 (;#m)

0U/+;#m

02 +;#m

1

ump

1.677

&.&&&

1.677

.2%

2.115

&.1

2

0otor

2.22

&.&&&

2.22

4.2&1

1.45

&.&5

.&&

&.&&&

.&&

7.47

.%%6

&.2515

Total transmitted force <

P ongitudinal translation not considered since it is usuall, lesser than that of ateral translation

6.3 CALCULATION OF EUIALENT DAMPING RATIO (Tales 4.  4.4 of Ar,a- #eil  incus) M,<( ,/ *8)'*,-

M ?,) I-()'*@ )'*,

E8(<(-' /',)

D*- )'*, D

a,

C,

D,

< (1L1.(1+n)(h?r &)) ? (R ,)



< (1+n)  ? (4 gr & ) ertical > < (1+&.%)*%%. ?

&.%

< &.42% a, ? (C,)&.%

< (1L1.*(1+&.%)(1.7?1.55))?(1.4)O&.%

< (&.42%*1.75)?(&.6%)O&.%

< a*

<

(4*15.57*1.55O) <

&.6%

C*

1.75&

D*

< (1L1.(2+n)(h?r &)) ? (R *)



< (7+5n)  ? (2(1+ n) gr & )

&.%

< &.255 a* ? (C*)&.%

HoriFontal< (7+5*&.%)*%%. ? < (1L1.*(2+&.%)*(1.7?1.55))?(1.75)O&.% X-B (2*(1+&.%)*15.57*1.55O) <

&.511

< af

Cf oc;ing f < (*(1+&.%)*14&.2%4) ? (5*(15.57?.51)*2.4O%) < &.156 nf < QQQ PP

< (&.255*2.7%)?(&.511)O&.%

2.7%

<

< (1L&.7(1+n)(h?r &)L&.6(2+n)(h?r ))?(Rf) < (1L&.7*(1+&.%)*(1.7?2.4)L

< (&.1%*1.27?((1L1.6*&.156)*

&.%

&.6*(2+&.%)*(1.7?2.4)O)?(1.65)O&.% < ay

Cy %

< (1+n) 9y ?(5 rr & ) itching y < (P(1+&.%)*26.7%) ? 5*(15.57?.51)*1.62%O%) < 2.6% ny < QQQ PP

&.552

Df < &.1% af ? ((1Ln fCf) (nfCf)&.%)

 o)

< (1+n) 9f ?(5 rr &%)

&.6

(1.6*&.156)O&.%)

1.27&

<

&.26

 &.% < (1L&.7(1+n)(h?r &)L&.6(2+n)(h?r o) ))?(Ry)

Dy < &.1% ay ? ((1Ln yCy) (nyCy)&.%)

< (1L&.7*(1+&.%)*(1.7?1.62%)L

< (&.1%*1.762?((1L1.122*2.6%)*

&.6*(2+&.%)*(1.7?1.62%)O)?(2.14)O&.%

(1.122*2.6%)O&.%)

< &.& < 1.762 PP alues for n f, ny for arious alues of C f , By (Tale 4.% of Ar,a- #eil  incus- reproduced elo!) Cf , By

%



2

1

&.5

&.%

&.2

nf, ny

1.&5

1.11

1.14

1.21

1.2%1

1.75

1.6

6.3.1 SUMMARY OF DAMPING RATIOS

("inal D is 2? of Theoritical alue L soil internal damping ratio or &.7 !hicheer is lesser ) M,<( ,/ *8)'*,-

ertical

S,*+ *-'()-+ <*- )'*,

&.&2

T,'+ D*- R'*,  C,-)('(  S,*+

2? * &.6 L &.&2

< &.644

M. D*- )'*,

&.7&

F*-+ D*- )'*,

D,

<

&.%&&


Checked by

Approved by

HoriFontal

&.&2

2? * &.552 L &.&2

< &.6&5

&.7&

D*

<

&.2&&

oc;ing

&.&2

2? * &.26 L &.&2

< &.1

&.7&

&.1&&

itching

&.&2

2? * &.& L &.&2

< &.&46

&.7&

Df < Dy <

&.&46

6.4 CALCULATION OF UNDAMPED NATURAL FREUENCIES U-<(< N')+ /)((-9:  (6&?2V)*(@?m) &.%

M,<( ,/ *8)'*,-

D(< N')+ /)((-9

?)@

-

wn (1+D2)&.%

)

?)@

ertical

(6&?(2*.14))*(125%24?6&.6)O&.%

<

17&2

(17&2*(1+&.%O2)O&.%

<

1474

HoriFontal

(6&?(2*.14))*(1%&6&&?6&.6)O&.%

<

1712

(1712*(1+&.2O2)O&.%

<

1677

oc;ing

(6&?(2*.14))*(126%&521?14&.2%4)O&.%

<

2565

(2565*(1+&.1O2)O&.%

<

25%4

itching

(6&?(2*.14))*(421411?26.7%)O&.%

<

177

(177*(1+&.&46O2)O&.%

<

176

6.5 CALCULATION OF FREUENCY RATIO : MAGNIFICATION FACTOR : AMPLITUDE : TRANSMISSIBLITY FACTOR AND TRANSMITTED FORCE

(Tale 1.4 of Ar,a- #eil  incus- ef.Appendi*+C)

(ince the machine !ill operate at constant speed- formulae associated !ith sinusoidal force of constant amplitude are used in the d,namic anal,sis) 0ode of iration

"re:uenc, ratio- r

0agnification factor- 0

Transmissilit, factor- Tr

Transmitted force?moment

Displacement response- A*

wm / wn

1?((1+r 2)2L(2Dr)2)&.%

(1L(2Dr) 2)&.% ? W(1+r 2)2L(2Dr) 2&.%

"tr = åTr "o

0("o?@)

ertical->

1.&%5

&.4&

1.65

%.4 ;#

2 0icron

HoriFontal-X

1.&%1

2.&6

2.%&2

&.&&& ;#

& 0icron

HoriFontal-B

1.&%1

2.&6

2.%&2

.7%5 ;#

% 0icron

oc;ing-f

&.625

1.616

1.625

12.666 ;#m

&.&& radians

itching-y

1.&7

1.1

1.4&1

4.5 ;#m

&.&& radians

6.6 FORCES & AMPLITUDES FOR ARIOUS ROTOR POSITIONS 6.6.1 D9-* +,< ?F,@ $ I-$( & 1!0 <()(( ,'$,/$(

otor osition

oad 8ase

ateral Translation

ongitudinal Translation

ertical Translation

oc;ing (Due to Translation "orce)

oc;ing (Due to shaft eccentricit,)

itching

"F(;#)

"*(;#)

",(;#)

0U/ (;#m)

0U2 (;#m)

01 (;#m)

9n hase

1

.&&

+

+

7.47

+

+

9n hase

2

+

+

.&&

+

&.25177%

.%%6

$ut of hase



&.%46

+

+

1.&1&

+

+

$ut of hase

4

+

+

&.%46

+

+&.&627

&.65&

6.6.2 T)-*''(< F,)( ?F')@ ,- F,-<'*,- <( ', )*, R,',) ,*'*,-

otor osition

oad 8ase

ateral Translation

ongitudinal Translation


oc;ing (Due to Translation "orce)

oc;ing (Due to shaft eccentricit,)

itching

"F(;#)

"*(;#)

",(;#)

0U/ (;#m)

0U2 (;#m)

01 (;#m)


Checked by

Approved by

9n hase

1

.7%5

+

+

12.2&7

+

+

9n hase

2

+

+

%.4

+

&.4%

4.5

$ut of hase



1.66

+

+

1.64%

+

+

$ut of hase

4

+

+

&.747

+

+&.1&2

&.%

6.6.3 A+*'<( ?A9@

(0aginfication factor 0 * D,namic loads "o ? pring constants @ ) Translation Displacement otor osition

oad 8ase

Due to "F Due to "* ( micron ) ( micron )

9n hase

1

%

9n hase

2

$ut of hase $ut of hase

otational Displacement

Due to ", ( micron )

Due to 0f1 (ad)

Due to 0 f2 (ad)

Due to 0 y/ (ad)

+

+

.%7'+&7

+

+

+

+

2

+

.6&'+&5

1.&1'+&6



1

+

+

1.2'+&7

+

+

4

+

+

&

+

&

1.2'+&7

6.6.4 T,'+ A+*'<( C++'*,-

(0aginfication factor 0 * D,namic loads "o ? pring constants @ ) 0ode of iration ertical @,

hase

Amplitude 8alculations

9n phase

A>L*BB/2+Ø*LB/2

< 2L&'+&6*%.4?2L1'+&6*2.?2

<

M

16 microns A

$ut of phase

A>L*BB/2+Ø*LB/2

< &L&*%.4?2L&.2'+&6*2.?2

< 2'+&7 M

16 microns A

AXLU*(>+>o)

< &L1'+&6* (+1.1%)

< 2'+&6 M

16 microns A

AXLU*(>+>o)

< &L&.2'+&6* (+1.1%)

< 4'+&7 M

16 microns A

AFL*(>+>o)

< %L1'+&6* (+1.1%)

<

%

M

16 microns A

AFL*(>+>o)

< 1L&.1'+&6* (+1.1%)

<

1

M

16 microns A

HoriFontal @* 9n phase $ut of phase HoriFontal @F 9n phase $ut of phase

2

7.0 CHECK FOR ARIOUS SHEAR MODULUS ALUES hear 0odulus alues considered

<

&.%&3

&.63

&.763

&.53

1.&&3

7.1 SPRING CONSTANTS FOR ARIOUS G ALUES

ertical @,

HoriFontal ;*

Translational ;F

oc;ing @ U1

itching @ 1

@#?m

@#?m

@#?m

;#?m?radian

;#?m?radian

&.%&3

64262

7%&&

7%&&

62%41&

246&7&6

&.63

12147&

1225575

1225575

77&&17

1&&45

&.763

146%675

14524%6

14524%6

614624

74&27

&.53

171656

176&4

176&4

112%2&

45&&%6

1.&&3

125%24

1%&6&&

1%&6&&

126%&521

421411

3

7.2 SUMMARY OF FREUENCIES FOR ARIOUS G ALUES ITH CHECK FOR FREUENCY RA NGEJ

3

ertical->

HoriFontal-X

HoriFontal-B

oc;ing-f

itching- y


Checked by

Approved by

rpm

8hec;

rpm

8hec;

rpm

8hec;

rpm

8hec;

rpm

8hec;

&.%&3

1&42

M2&K o;

1156

M2&K o;

1156

M2&K o;

2&15

+

7

M2&K o;

&.63

117&

M2&K o;

11

M2&K o;

11

M2&K o;

226%

2&K o

1&2

M2&K o;

&.763

125%

M2&K o;

1462

#ot o;

1462

#ot o;

2455

2&K o

11

M2&K o;

&.53

11

M2&K o;

1%52

#ot o;

1%52

#ot o;

262

2&K o

125

M2&K o;

1.&&3

1474

+

1677

+

1677

25%4

2&K o

17%

M2&K o;

+

P "re:uencies are damped natural fre:uencies PP Here 3 is ma*imum alue of 3. "or cla,s 55K of this alue shall e used. (efJ age 66 A$)

7.3 SUMMARY OF AMPLITUDES FOR ARIOUS G ALUES ITH CHECK FOR AMPLITUDE LIMIT

Amplitude Amplitude(0icrons?rad Total

3

"re:uenc, ratio- r

0agnification factor- 0

Transmissilit, factor- Tr

Transmitted force?moment

&.%&3

1.727

&.5&

&.7%

2.6&

2

2 microns

A"'

&.63

1.%5

&.456

&.52

.47

2

2 microns

A"'

&.763

1.4&1

&.%55

1.&1

.4

2

2 microns

A"'

&.53

1.24

&.65%

1.121

4.71

2

2 microns

A"'

1.&&3

1.221

&.76&

1.1

4.677

2

2 microns

A"'

&.%&3

1.%15

&.6%

&.51

&.&&&

&

& microns

A"'

&.63

1.%2

1.&11

1.1%&

&.&&&

&

& microns

A"'

oriFontal-X &.763

1.21

1.4&

1.%64

&.&&&

&

& microns

A"'

&.53

1.15

1.54

2.&2%

&.&&&

&

& microns

A"'

1.&&3

1.&7

2.17

2.1

&.&&&

&

& microns

A"'

&.%&3

1.%15

&.6%

&.51

.171



 microns

A"'

&.63

1.%2

1.&11

1.1%&

4.454



 microns

A"'

HoriFontal-B &.763

1.21

1.4&

1.%64

6.&

4

4 microns

A"'

&.53

1.15

1.54

2.&2%

7.5

4

4 microns

A"'

1.&&3

1.&7

2.17

2.1

.26

4

4 microns

A"'

&.%&3

&.52

.657

.74%

2.12

4.%'+&6

&.63

&.7%

2.4%

2.%26

1.64

2.44'+&6

&.763

&.72

2.&&%

2.&26

1%.76&

1.62'+&6

&.53

&.66

1.7%

1.77%

1.5&7

1.22'+&6

1.&&3

&.61

1.626

1.6

12.7%&

1.&&'+&6

&.%&3

1.5%

&.412

&.415

1.45%

%.%'+&7

&.63

1.645

&.%51

&.%57

2.&55

6.66'+&7

&.763

1.%&1

&.7

&.5&1

2.545

7.%4'+&7

&.53

1.57

1.&72

1.&51

.54%

5.71'+&7

1.&&3

1.&

1.52

1.2

4.%&

.'+&7

0ode of iration

ertical->

oc;ing-f

itching-y

8hec


Checked by

Approved by

! STABILITY CHECKS !.1 SUMMARY OF TRANSMITTED FORCE MOMENT S.N,

T)-*''(< F,)(M,(-' N  N

M,<( ,/ *8)'*,-

1


4.677

2

ateral Translation +B

.26

3

oc;ing aout X+a*is

2.12

4

itching aout B+a*is

4.%&

!.1.1 C++'*,- ,/ <<*'*,-+ +,< <( ', T)-*''(< /,)( ,(-'

Total HoriFontal load in B+direction

ThF

<

.26L2.12?(2L&.2%L&.%L&.&%)

<

15.2

;#

715.21

;#

!.2 CHECK FOR BEARING PRESSURE%

Total ertical force

">

<

Total ertical force(!ith impact load)

">i

<

Total 0om in Tran. Direction

0*

<

7%2.24 ;# 0FE9 L ThF * distance ?! shaft  ottom of ase

<

%&.1L15.2*(2L&.2%L&.%L&.&%)

<

 ? A L 0 X ? BX

<

7%2.24?(%.4*2.)L1&.6*6?(%.4*2.O2)

at Cottom of ase 0a*imum Case ressure at founding depth elo! H

0AX

<

5.%4

@#?m2



5&

<

10".63

@#?m 2 R(*( '( *;(

!.3 CHECK FOR BUOYANCY%

The critical case for uo,anc, chec; is- !hen the pump is under maintenance condition. o the self !eight of the loc; itself has to resist the uo,anc, force. " Cuo,anc, "orce

<

211.14

@#

(8l.4.2.2)

KN


Checked by

"resist

esisting "orce "$ for Cuo,anc, 8hec;

Approved by

<

C * CC * (DLH CEA3) * gc

<

%.4*2.*(1.7L&.)*24

<

%6.16 ? 211.14

<

2.52

N

<

%6.16

1.2% H(-( O.K

!.4 CHECK FOR OERTURNING%

8onsidering !ater tale at ground leel- ertical force !ill e ta;en as " > + " esisting 0oment in Tran. Direction "$ against $erturning in B+a*is-

MR;

< (715.21 + 211.14) *2. ? 2 "$B < %5.1 ? 1&.6

<

%5.1 @#+m

<

%. N

2 H(-( O.K

!.5 CHECK FOR SLIDING

8onsidering !ater tale at ground leel- ertical force !ill e ta;en as " > + " "rictional co+efficient

<

m

<

&.%

liding "orce along B+a*is

FS;

<

"FE9

<

%.& @#

"rictional esistance

FR)

<

m * ("> + ") < &.%*(715.21+211.14)

<

27.2 @#

Actual "actor of afet, against liding-

"$ < 27.16 ? %.&2% <

7.74

1.%



H(-( O.K

" REINFORCEMENT CALCULATION% roide

T

20



200

c?c '? Top and Cottom of "ooting

roide

T

20



200

c?c ides of "ooting

roide

T

12



600

c?c Tria*ial ertical

roide

T

12



600

c?c Tria*ial HoriFontal

$nl, for loc;s !ith depth more than

1.& m

".1 CHECK FOR EIGHT OF REINFORCEMENT

As the foundation is designed as a loc; foundation- a minimum shrin;age reinforcement of &;g?m  shall e proided. (A89 %1.+&4 8l 4.4) eight of reinf. re:uired(footing)

<

%.4 *

2.& *

2.&&

*

&

<

74%.2& ;g

einforcement proided J "ooting Top

25

ars

* ( 2.& L

2.&&& )

2.47

<

27. ;g

1

ars

* ( %.4 L

2.&&& )

2.47

<

27.61 ;g

<

%%.&& ;g

<

171.17 ;g

Cottom ides (horF)

same as that in top 

ars

*

7.7

*

2.47

@#


Tria*ial (HorF) Tria*ial (er)

Checked by

Approved by



ars

*

7.7

*

2.47

<

171.17 ;g

5

ars

*

2.

*

&.5

<

16.5 ;g



ars

*

%.4

*

&.5

<

14.42 ;g

16

ars

*

2

*

&.5

<

25.45 ;g

Total einforcement in "oundation

< 1471.62 ;g

 74%.2&& ;g H(-( O.K

".2 REINFORCEMENT SKETCH%

T2& + 2&& c?c '? Top and Cottom

SECTIONAL PLAN


Checked by

T2& + 2&& c?c

Approved by

T.$.3

'L1&&.&&

".3.

'L1&&.&&&

C.$."

'L5.&&

Tria*ial 16#os of T12 + 6&& c?c

Tria*ial 5#os of T12 + 6&& c?c

Tria*ial #os of T12 + 6&& c?c

SECTIONAL ELEATION REINFORCEMENT ARRANGEMENT

n

2

)

7

)

/

' ' ' ' ' '


Checked by

Approved by


Checked by

Approved by

T8+( 4$1 R(/. S)( A)9 : ON(*++ & P*- $ E*+(-' S)*- C,-'-' /,) R**< C*)+) -< R('-+) F,,'*-

F*)( 4$1 R(/. S)( A)9 : ON(*++ & P*- $ C,(//**(-' /,) R('-+) /,,'*-


Checked by

Approved by

F*)( 4$2 R(/. S)( A)9 : ON(*++ & P*- $ E8(<(-' ,(//**(-' /,) )*- ,-'-'

T8+( 4$3 $ R(/. S)( A)9: ON(*+ & P*- $E*+(-' D*- R'*, /,) R**< C*)+) -< R('-+) F,,'*-


Checked by

Approved by


Checked by

Approved by

T8+( 4$4 R(/. S)( A)9 : ON(*++ & P*- $ E//(' ,/ D(' ,/ E8(<(-' ,- D*- R'*,

T8+( 4$5 $ R(/. S)( A)9: ON(*+ & P*-

T8+( 4$" R(/. S)( A)9 : ON(*++ & P*- $ T9*+ +( /,) P,*,- R'*,


Checked by

Approved by


Checked by

Approved by

T8+( 1$4 R(/. S)( A)9 : ON(*++ & P*- $ F)((-9 & A+*'<( ++'*,-

Block-foundation-Dynamic-analysis.xls

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