design of pipeline (600hp) pumps foundation

Corporate Base

Calculation Cover Sheet

Customer CHEVRON NIG. LTD Proj No 10104

Project Title ESCRAVOS PRODUCED WATER DISPOSAL PROJECT Calc No 2

Calculation Title Pipeline (600 HP) Pumps Calculation Note Phase/CTR 4

Elec File Location'file:///tt/file_convert/55cf9c8c550346d033aa3651/document.xls'#$Calculation Cover Sheet

Project File Location of 14

Calculation Objective

Calculation Method

Assumptions

Software Used

Validation (Y / N / N/A)

Excel 97-2003 N/A

References

Conclusions

H01 03-Dec-10 Issued for Design I.Oguntuase G. Mahadeo C. Imuse

E01 08-Nov-10 Issued for Review F. Adeshina G. Mahadeo C. Imuse

D01 11-Oct-10 Issued for IDC F. Adeshina G. Mahadeo C. Imuse

Rev Date Description By Checked Approved

The purpose of this calculation is to document the Design of Pipeline (600HP) Pumps Foundation for the Dehydration Facilities.

[1] Determine the imposed load from the Pumps to the soil and compare with an assumed allowable gross soil bearing capacity.[2] Determine the dimensions for the Pumps' Foundation and assess its dynamic performance. [3] Determine the reinforcemt for the Pumps' Foundation and assess its dynamic performance.

Grade of concrete, fcu = 30 N/mm2, Grade of steel, fy = 410 N/mm2, Assumed soil bearing capacity= 50 KN/m2.

Title Version

[1] Basis of Design Report - PWD-PW03-STR-BOD-DAE-000-90001-00[2] BS 8110 - Part 1: 1997 - Structural use of concrete.[3] W.H. Mosley and J.H. Bungey - Reinforced Concrete Design, Second edition. [4] Design of Structures and Foundations for Vibrating Machines, by S. C. Arya, M. O'Neill, G. Pincus, 1978, Gulf Publishing Co. Chapter 6, Example 2. [5] Preliminary GA drawing from Sulzer. [6] CIV-DU-5009-H "Structural Design Criteria"

The results of the analysis show that the foundation dimensions are adequate to support the dead and dynamic loads. The imposed stress to the soil, the eccentric and natural frequency are acceptable. Nominal reinforcement provided is adequate.

Corporate Base

This Calculation represents the work of DeltaAfrik performed to recognized engineering principles and practices appropriate for the terms of reference provided by DeltaAfrik contractual Customer. This Calculation is confidential and prepared solely for the use of the Customer. The contents of this Calculation may not be disclosed to or relied upon by any party other than the Customer, and neither

DeltaAfrik , its subconsultants nor their respective employees assume any liability for any reason, including, but not limited to, negligence, to any other party for any information or representation herein..

Corporate Base

Calculation Checklist

Customer CHEVRON NIG. LIMITED Proj No 10104



Elec File Location 'file:///tt/file_convert/55cf9c8c550346d033aa3651/document.xls'#$Calculation Cover Sheet

Project File Location Page 2 of 14

Please check boxes for all applicable items checked or mark as "N/A" if not appropriate:

Calculations:

Project title shown.

Calculation title shown.

Revision history box complete and signed.

Table of Contents.

Appropriate stamp for preliminary issues.

Calculation objectives (aims) stated.

Calculation method defined or described (including formulae if relevant).

Reference made to text, standard or code. Check version/edition with that required for project.

Source of input data stated (with revision number and date if relevant).

Customer's requirements included/addressed.

Assumptions stated.

Summary of results or conclusions if appropriate.

For software based calculations, reference to software verification if available.

Approach used is appropriate for problem being solved.

Method clear and easy to follow.

Input data correct.

Calculation arithmetically correct OR software previously verified and reference to verification checked.

Calculation result within expected limits.

Calculation tolerances stated if significant.

Units used as required by customer. Unit conversions correctly performed.

Abbreviations correct.

Appropriate cross-references.

Sketches included and clearly labelled, where required.

Appendices included and referenced, as required.

Considered design reviews, Hazop actions, client input, safety and environmental issues, etc.

Document Sign-offs (typed full names of Originator, Checker, Approver; to be initialed beside at sign-off)

Dates in standard format (DD-MMM-YY)

Checking Records:

Checked and annotated copy of calculation filed (use "Check Print" stamp).

Corrections made as required and calculation dated and signed on cover sheet by checker.

Alternative method calculation and/or representative check performed and filed, as required.

Revisions:

Changes clouded.

Revision history block updated.

Calculation re-checked if required.

H01 03-Dec-10 Issued for Design I.Oguntuase G. Mahadeo C. Imuse

E01 08-Nov-10 Issued for Review F. Adeshina G. Mahadeo C. Imuse

D01 11-Oct-10 Issued for IDC F. Adeshina G. Mahadeo C. Imuse

Rev Date Description By Checked Approved

Calculation number assigned and registered (refer to project numbering system or Document Numbering System EPP-0040 for format).

Corporate Base

This Calculation represents the work of DeltaAfrik performed to recognized engineering principles and practices appropriate for the terms of reference provided by DeltaAfrik contractual Customer. This Calculation is confidential and prepared solely for the use of the Customer. The contents of this Calculation may not be disclosed to or relied upon by any party other than the Customer, and neither

DeltaAfrik , its subconsultants nor their respective employees assume any liability for any reason, including, but not limited to, negligence, to any other party for any information or representation herein..

Corporate Base

Calculation Sheet




Elec File Location 'file:///tt/file_convert/55cf9c8c550346d033aa3651/document.xls'#$Calculation Cover Sheet


Rev Date By Checked Rev Date By Checked Rev Date By Checked

D01 11-Oct-10 F. Adeshina G. Mahadeo E01 08-Nov-10 F. Adeshina G. Mahadeo H01 03-Dec-10 I.Oguntuase G. Mahadeo

Table of Contents

Pages

1.0 Pipeline (600HP) pumps Foundation Design 4

2.0 Selection of Foundation Configuration 4

3.0 Dynamic Analysis 5

4.0 Reinforcement 8

Appendix A Pump Performance Data Sheet 9

This Calculation represents the work of DeltaAfrik performed to recognized engineering principles and practices appropriate for the terms of reference provided by DeltaAfrik contractual Customer. This Calculation is confidential and prepared solely for the use of the Customer. The contents of this Calculation may not be disclosed to or relied upon by any party other than the Customer, and neither DeltaAfrik ,

its subconsultants nor their respective employees assume any liability for any reason, including, but not limited to, negligence, to any other party for any information or representation herein..

Corporate Base

Calculation Sheet




Elec File Location

'file:///tt/file_convert/55cf9c8c550346d033aa3651/document.xls'#$Calculation Cover Sheet




1.0 PIPELINE (600HP) PUMPS FOUNDATION DESIGN

(A) Machine Data :

Pump

13.4 KN Weight of Motor = 11.6 KN

Operating Speed (f) = 1780 rpm Operating Speed (f) = 1780 rpm

(w) = 186 rad/sec (w) = 186 rad/sec

C.L. of shaft elevation = 100.71 m C.L. of Shaft elevation = 100.71 m

C.O.G of pump/motor elevation = 100.71 m Weight of base plate = 14.0 KN

Total Wt of Equip. (Pump + Motor + Base Plate) = 39.04 KN

(B) Soil Data :G = Shear Modulus = 40.00 40000 (Assumed, table 4-8, ref 4)n = Poisson Ratio = 0.40 Sall = Allowable Net Soil Brg. Cap. = 50.0 g = Soil Density = 20 Di = Internal Damping Ratio = 0.05Neglected soil cover depth = 0.00 m

(C) Concrete Data :

24

2.0 SELECTION OF FOUNDATION CONFIGURATION :

(A) Trial Size of Foundation

3.90 m Grade Elev. = 99.70 m Spring Constant Coefficient :1.60 m T.O. Ftg El. = 100 m 0.411.60 m 0.43

1.012.13

(B) Check Machine & Foundation Wt Ratio :

Wt of Machine = 39.0 Wt of Fdn. = 239.6 Wt Ratio = Fdn. Wt / Machine Wt 6.14 > 3.0 <==> OK !

Total Wt. = 278.7

(C) Locate C.G. of Pump Assembly & Conc. Fdn. :(w.r.t. C.G. of Pump)

ITEM W/(KN) X/(m) WX/(KN) Y/(m) WY/(KN) Z/(m) WZ/(KN)

Pump 13.4 0.00 0.00 0.00 0.00 0.00 0.00

Motor 11.6 0.00 0.00 1.80 20.84 0.00 0.00

Base Plate 14.0 0.00 0.00 0.77 10.80 0.71 9.97

Foundation 239.6 0.05 11.98 0.77 184.50 1.51 362.06

Summation = 278.7 11.98 216.14 372.03

Xo = 0.04 m Yo = 0.78 m Zo= 1.34 m

Motor

Weight of Pump (Wp) =

N/mm2 KN/m2

KN/m2

KN/m3

gc, Concrete Density KN/m3

Length of footing, c3 =Width of footing, a3 = a3/c3 = For by, bx, bz

Thickness of footing b3 = by =bx =

bz =

This Calculation represents the work of DeltaAfrik performed to recognized engineering principles and practices appropriate for the terms of reference provided by DeltaAfrik contractual Customer. This Calculation is confidential and prepared solely for the use of the Customer. The contents of this Calculation may not be disclosed to or relied upon by any party other than the Customer, and neither DeltaAfrik , its subconsultants nor their respective employees assume any liability for any reason, including, but not limited to, negligence, to

any other party for any information or representation herein..

c3

Y

C. G. of Pump

X

Z

C. G. of Pump/Motor

T. O. FDN EL.

Grade EL.

a3

b3

Corporate Base

Calculation Sheet




Elec File Location





(D) Eccentricity and Check Static Settlement Criteria :

The COG of footing (w.r.t. COG of Pump) @ X = 0.05 m

@ Y = 0.77 m

======> ex = 0.88% ey = 0.29%

0.77 m 1.03 m

Where :

>> The C.G. of Machine Assembly and Foundation is less than

5% of Ftg dimension in X & Y Direction. Foundation is OK

for static differential settlement criteria !

(E) Check Static Soil Bearing :

Wt of Pump Assembly = 39.0 KN

Wt of Fdn. = 239.6 KN

Total = 278.7 KN

50% Net allowable soil bearing = 25.0

Gross soil bearing, P/A = 44.7

18.7 25.0 OK !

3.0 DYNAMIC ANALYSIS

Notes: 1. Axis of rotation is @ base of ftg parallel to the shaft.

2. a = Width of conc block (m); b = Height of conc block (m)

ITEM (1) (2) (3) (4) (5) (6) (7)

W/(KN) a b X-Xo Z-Zo

Pump 13.4 0.00 0.00 -0.04 -1.34 2444.5 0.0

Motor 11.6 0.00 0.00 -0.04 -1.34 2105.5 0.0

Base Plate 14.0 0.00 0.00 -0.04 -0.62 559.6 0.0

Foundation 239.6 1.60 1.60 0.01 0.18 757.1 10421.6

Summation = 278.7 5866.6 10421.6

16288

43342

0.376

dPump = dMotor =

dPump = Distance from COG Ftg to COG Pump in Y - Direction

dMotor = Distance from COG Ftg to COG Motor in Y - Direction

KN/m2

KN/m2

Net soil bearing, P/A - g*(soil depth) = KN/m2 KN/m2

(A) Mass moment of Inertia For Rocking Iy : w.r.t. bottom of ftg

Iyo : w.r.t. COG of Pump sssembly and conc ftg

W{(X-Xo)2+(Z-Zo)2}/g W(a2+b2)/(12g)

Iyo = (6) + (7) = kgm2

Iy = Iyo + m H2 = kgm2

Mass moment of Inertia ratio = Iyo/Iy =



Corporate Base

Calculation Sheet




Elec File Location





Notes: 1. Axis of rotation is vertical through the COG of the assembly

2. a = Width of concrete block (m) ; c = Length of concrete block (m)

ITEM (1) (2) (3) (4) (5) (6) (7)

W/(KN) a/m c/m X-Xo Y-Yo

Pump 13.4 0.00 0.00 -0.04 -0.78 827 0

Motor 11.6 0.00 0.00 -0.04 1.02 1240 0

Base Plate 14.0 0.00 0.00 -0.04 -0.01 3 0

Foundation 239.6 1.60 3.90 0.01 -0.01 2 36170

Summation = 278.7 2072 36170

38242

1.41 m

(2) Mass (m) m = W/g = 28406 kg

0.75

0.92

0.87 0.05

effective h = h' = 1.30 m

1.78

1.33

2.13

4.73E+8 N/m

1232 rpm

Resonance not possible

(9) Frequency Ratio (R) N/A <==> Resonance not possible

N/A <==> Resonance not possible

(r) 1.45

1.45

1.41 ft

(2) Mass (m) m = W/g = 28406 kg

0.99

= 0.87

0.82 0.05

(B) Mass moment of Inertia For Torsion Iq : w.r.t. vertical axis thru COG of the sssembly

m{(X-Xo)2+(Y-Yo)2}/g m(a2+c2)/(12g)

Iq = (6) + (7) = kgm2

(C) Vertical Excitation

(1) Equivalent radius (ro) ro = (c3*a3/p) 0.5 =

(3) Mass ratio (Bz) Bz = (1-n)W/(4gro3) =

(4) Damping Ratio (Dz) Dz = Dg + Di =

Where Dg = 0.425*az/(Bz) 0.5 = Di =

az = Damping ratio embedment factor = [1 + 1.9(1-n)h'/ro]/nz0.5 =

nz = Embedment coeff. of spring constant = 1 + 0.6(1-n)h'/ro =

(5) Spring Coefficient (bz) bz =

(6) Equivalent Spring Constant (kz) kz = G*bz*nz(c3*a3)0.5/(1-n) =

(7) Natural Frequency (fnz) fnz = 60(kz/m) 0.5/ 2p =

(8) Resonance Frequency (fmr) fmr = fnz/(1-2Dz2) 0.5 =

RPump = foperating/fmr =

RMotor = foperating/fmr =

rPump = foperating/fnz =

rMotor = foperating/fnz =

(D) Horizontal Excitation :

(1) Equivalent radius (ro) ro = (c3*a3/p)0.5 =

(3) Mass ratio (Bx) Bx = (7 - 8n)W/{32(1 - n)gro3} =

(4) Damping Ratio (Dx) Dx = Dg + Di

Where Dg = 0.288*ax /(Bx)0.5= Di =



Corporate Base

Calculation Sheet




Elec File Location





effective h = h' = 1.30

2.83

1.81

1.01

5.12E+8 N/m

1282 rpm

Resonance nnot possible

(9) Frequency Ratio (R) N/A <==> Resonance not possible

N/A <==> Resonance not possible

1.14 m

43342

2.47

0.1

0.05 0.05

effective h = h' = 1.30 m

1.91

= 1.13

0.431

6.58E+8 Nm/rad

= 2.29

(7) Natural Frequency (fn) 1177 rpm

1187 rpm

(9) Frequency Ratio (R) 1.5 >1.2 <==> OK !

1.5 >1.2 <==> OK !

ax = Damping ratio embedment factor = [1 + 1.9(2-n)h'/ro]/nx 0.5 =

nx = Embedment coeff. of spring constant = 1 + 0.55(2-n)h'/ro =

(5) Spring Coefficient (bx) bx =

(6) Equivalent Spring Constant (kx)

kx = 2(1 + n)G*bx*nx(c3*a3)0.5 =

(7) Natural Frequency (fnx) fnx = 60(kx/m) 0.5/ 2p =

(8) Resonance Frequency(fmr) fmr = fnx/(1-2Dx2) 0.5 =

RPump = foperating/fmr =

RMotor = foperating/fmr =

(E) Rocking Oscillation :

(1) Equivalent Radius (ro) ro = (c3*a33/(3p)) 0.25 =

(2) Mass Mom of Inertia (Iy) Iy = kgm2

(3) Mass ratio (By) By = 3(1-n)(Iy)g/{8gro5} =

(4) Damping Ratio (Dy) Dy = Dg + Di =

Where Dy = 0.15*ay/{(1+ny*By)(ny*By)0.5} = Di =

ay = Damping ratio embedment factor

= {1+ 0.7(1 - n)(h'/ro) + 0.6(2 - n)(h'/ro)3}/ny 0.5 =

ny = Inertia ratio correction factor (or g) (Adjusted for By)

(5) Spring Coefficient (by) by =

(6) Equiv Spring Constant (kys) kys = G*by*c3*a32*ny/(1-n) =

ny = Embedment coefficient of spring constant

1 + 1.2(1 - n)(h'/ro) + 0.2(2 - n)(h'/ro)3 =

fn = 60(kys/Iy)0.5/ (2*p) =

(8) Resonance Frequency (fmy) fmy = fn/(1 - 2Dy2)0.5 =

RPump = foperating/fmy =

RMotor = foperating/fmy =



Corporate Base

Calculation Sheet




Elec File Location





Ref. : "Foundations for Machines: Analysis and Design"

By: Shamsher Prakash & Vijay K. Puri

(1) Natural Frequency of Sliding 134.2 rad/s

(2) Natural Frequency of Rocking 123.2 rad/s

(3) Coupled Frequencies 281.3 rad/s = 2687 rpm

95.9 rad/s = 916 rpm

(4) Frequency Ratio (R) 0.66 <0.8 <==> OK !

0.66 <0.8 <==> OK !

1.94 >1.2 <==> OK !

1.94 >1.2 <==> OK !

1.56 m

38242

2.05

where g = 9,81

Dq = Dg + Di = 0.15

0.10 0.05

(5) Geometry Factor N / A

8.06E+8 Nm/rad

(7) Natural Frequency (fn) 1386 rpm

1418

(9) Frequency Ratio (R) 1.26 >1.2 <==> OK !

1.26 >1.2 <==> OK !

1.28

1.28

4.0 REINFORCEMENT

Nominal reinforcement percentage = 0.13 %

Cross sectional area of foundation = 2.56

Total reinforcement area = 3328

Number of Y12 required = 29.45 Provide Y12@150

(F) Combined Rocking & Sliding (Coupling):

wx =

wy =

w1 =w2 =

RPump = foperating/w1 =

RMotor = foperating/w1 =

RPump = foperating/w2 =

RMotor = foperating/w2 =

(G) Torsional Oscillation :

(1) Equivalent Radius (ro) ro = (c3*a3(c32 + a3

2)/(6p) 0.25 =

(2) Mass Moment of Inertia (Iq) Iq = kgm2

(3) Mass ratio (Bq) Bq = Iq*g/{ *g (ro)5} =

m/s2

(4) Damping Ratio (Dq)

Where Dg = 0.5/(1+2Bq) = Di =

(6) Equivalent Spring Constant (kq) kq = 16G(ro)3/3 =

fn = 60(kq/Iq)0.5/(2p) =

(8) Resonance Frequency (fmq) fmq = fn/(1-2Dq2) 0.5 =

RPump = foperating/fmq =

RMotor = foperating/fmq =

rPump = foperating/fn =

rMotor = foperating/fn =

m2

mm2



002-000-PDF-566 (015311) EPF-0027Rev 7 (1-Mar-10) Corporate Base of 11

Calculation Sheet




Elec File Location'file:///tt/file_convert/55cf9c8c550346d033aa3651/document.xls'#$Calculation Cover Sheet




Appendix A

PUMP PERFORMANCE DATA SHEET

This Calculation represents the work of DeltaAfrik performed to recognized engineering principles and practices appropriate for the terms of reference provided by DeltaAfrik contractual Customer. This Calculation is confidential and prepared solely for the use of the Customer. The contents of this Calculation may not be disclosed to or relied upon by any party other than the Customer, and neither DeltaAfrik

, its subconsultants nor their respective employees assume any liability for any reason, including, but not limited to, negligence, to any other party for any information or representation herein..

design of pipeline (600hp) pumps foundation

Documents