T101017-VE04-P1UHA-160004_Analysis and Design of PA Fan Foundation - Calculations

8/22/2019 T101017-VE04-P1UHA-160004_Analysis and Design of PA Fan Foundation - Calculations

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FOR APPROVAL

Rev Date Prepared Checked Approved Details of Revision

Owner

B 2010/07/15 BT JL MP For Approval

BT CP MP For Approval2010/09/27C


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DOOSAN PROJECTS INDIA PVT., LTD

W.O. No: T10107 Calc T10107-VE04-P1UHA-160004 Sheet Cont'd

Client : GMR Energy Limited Project Raipur Chhattisgarh 2 X 685 MW CTPP

Title: Raipur-Chhattisgarh CTPP - Analysis & Design of PA Fan Foundation

CALCULATION COVER SHEET

TABLE OF CONTENTS

LEAD SHEET SHEET NO.

PURPOSE

REFERENCES

DESIGN REQUIREMENTS

UNCONFIRMED ASSUMPTIONS

DESIGN PROCEDURES

CONCLUSIONS

BODY OF CALCULATION

3

3

3

4

5

6

4

APPENDIX A (Includes Applicable References) A1

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W.O. No: T10107 Calc : T10107-VE04-P1UHV-160001 Sheet No: Cont'd on:

Prepared By: J.L. Date Checked By: Date:


REVISION RECORD

2010/05/13

M. PatelC. PB. Tandon

2010/09/15

For approvalC

Revision

print/sign/date

Status Preparer Checker Approver

print/sign/date

Description of Revision

print/sign/date

Revision to calculations because of

dimensional changes in PA Layout &

providing an isolation pad between PA

Foundation and Boiler Mat

2010/09/21 2010/09/24

CP 2010/09/21

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W.O. No: T10107 Calc : T10107-VE04-P1UHA-160004 Sheet No: Cont'd on:

Prepared By: B. Tandon Date C hecked By: Date:


PURPOSE

REFERENCES

Codes & Standards

1. Indian Standard: IS: - 2000 -Code of Practice for Plain and Reinforced Concrete (Fourth Revision)

2. Indian Standard: IS: - 2008

3. Indian Standard IS: -Criteria for Earthquake Resistant Design of Structures Part 1

4. Indian Standard: IS:

5. Indian Standard: IS: -1986



Reference Drawings/Documents

No. Drawing/Document No. Drawing/Document Description

1. T10107-VB00-P0-UZ1-171001 2010/05/06Design Criteria for Civil, Structural &

Architectural Work

1.0

The purpose of this calculation is to design the foundation of the PA FAN for the Raipur-Chhattisgarh CTPP project.

456

2.0

2.1

Date

2010/04/6

- Criteria for Earthquake Resistant Design of Structures Part 4 Industrial

Structures Including Stack-like Structures

- Code of Practice for Design and Construction of Foundations in Soils:

General Requirements

-2002

-2005

1786 -Specification for High Strength Deformed Bars & Wires for Concrete

Reinforcement

2.2

-1979 Code of Practice for Design and Construction of Machine Foundations,

Part 4 Foundation for Rotary Type Machines of Low Frequency

1893

1893

2974

1904

2974 -1982 Code of Practice for Design and Construction of Machine Foundations,

Part 1 Foundation for Reciprocating Type Machines

. oosan ro ec s n a v ., ., raw ngs;

a. T10107-UE00-P0UHA-320001 Rev.B Boiler General Arrangement, (Key Plan)"

b T10107 YD00 P0HLB 310002 Rev B PA Fan Layout Drawing

2010/07/29

2010/09/13C

CP 2010/09/21

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2010/04/6

Material

Concrete

Reinforcement

Site Location

Design Ground Elevation

The finish grade level provided by GMR shall be at elevation 313.0 m in BTG area/ Section 1.3.4, Ref. # 1

Design Ground Water Elevation

All concrete reinforcement shall be high strength deformed reinforcing bars with a minimum yield

strength, fy = 415 N/mm2, conforming to IS-1786.

Concrete for the boiler building foundation mat, which is integral with PA FAN foundation, shall

consist of grade M25 concrete with a cube strength of f'ck = 25 N/mm2 conforming with IS-456.

Design Ground Water Table shall be taken as 7.5m below final grade elevation - as recommended in final

Geotechnical Investigation Report.

3.2

3.3

3.4

3.3

The site of the Raipur- Chhattisgarh Coal Fired Power Plant is located near Raikheda Village, Raipur

District, in the State of Chhattisgarh, India. The site is about 12 Km from the Tilda town and 55 Km

from Raipur.

Primary Air Fan piers shall consist of grade M35 concrete with a cube strength of f'ck = 35

N/mm2 conforming with IS-456.

Soil Coefficient of Sub grade Reaction

The foundation shall be supported on a mass of lean concrete resting on weathered rock (layer III) with a

ffi i t f b d d l f 3 6 k / 3 S A di C

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2010/04/6

CONCLUSION

Natural Frequencies are outside 30% of M/C operating Freq. i.e. not between 17.4 Hz to 32.3 Hz

Vertical Natural Frequency = Hz , OK No Resonance as damping ratio > 0.707

Horizontal Natural Frequency = Hz , OK No Resonance as damping ratio > 0.707

Rocking Natural Frequency = Hz , OK

For Reinf. Details see contract Drawings.

BODY OF CALCULATION

Calculations begin on following page.

7.8

6.7

> 7.1

7.0

6.0

C

CP 2010/09/21

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W.O. No: T10107 Calc No:T10107-VE04-P1UHA-160004 Sheet No: Cont'd on:

Prepared By: BT Date: Checked By: Date:

Title: 2 x 685 MW RAIPUR - CHHATTISGARH Coal Fired Power Plant - Primary Air Fan equipment Foundation

Rev C, 2010-9-15

PA FAN Foundation


2010/4/6

acua ons ase on en or rawng - - - evson - ece ve

Machine Loading includes Dynamic load at starting of motor as well as fan load in running conditionDead Load Vertical MD = 8 * 29 +6 * 21 +8 * 31 =

Longitudnal (Axial) Force FSY = 8 * 1.8 +6 * 3.5 +8 * 5.3 =

Lateral Force (Horiz) FSX = 8 *0 + 6 * 0.9 +8 * 0.8 =

Dynamic Force =Fd-v = 8 * 49 +6 * 0.5 +8 * 12 =

11.8 KN

491.0 KN

606.0 KN

77.8 KNC

Lateral Force (Horiz) FX = 8 * 49 +6 * 0.5 +8 * 10 =

Machine Operating Speed =

Soil Parameters

From Geotechnical Report

Density of Soil, s =' = =

475.0 KN

24.8 Hz

15.74 kN/m3

C

,

Shear Modulus, G =2000(/(2*(1+0.35)) = =

Allowable Soil Bearing Pressure @ Rock level EL 305.5 =Weight of 2.0m lean concrete - 2.0m soil wt = (145-110) x 3.2808 3/2200 x 2 =

Allowable Soil Bearing Pressure under boiler mat which supports Fan block, qa = =

Acceptance Cr iteria (based on Vendor's requirements)

50.00 MT/m21.12 MT/m2

.

740.7 kg/cm2 72592.6 kN/m2

.

479.3 kN/m248.88 MT/m2

C

and 20% away from double of speed frquency.

Therefore, Natural Frequency shall not occur between 17.36 Hz To 32.24 Hz and 39.68 Hz To 59.52 Hz

2) Per Vendor the stiffness of foundation has to be > 10 6 N/mm

3) P d f d ti h ldb i i f 25 ti t 931 6 KN

CCCC

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Rev C, 2010-9-15


2010/4/6

L =12.45m

B 520

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Rev C, 2010-9-15


2010/4/6

General revision to calculations due to increase in PA fdn block thickness.

Z Foundation Embedment depth 3.50 m

X FOR FOUNDATION, =M{(B2 +t2)/12 +(CGz2)}

B FOR EQUIPMENT, =M(CGz2)

t Wfnd / Wequip =22.36 (RECOMMENDED MINIMUM =2.25 )

W Rotor mass = =nd . =

L B t CGX CGY CGZ WCGX WCGY WCGZ ISUPPORT PAD #1 12.45m 5.20m 4.50m 2.60m 6.23m 2.25m 17846 42727 15443 6296.1

SUPPORT PAD #2 6.30m 5.20m 0.69m 2.60m 3.15m 4.84m 1385 1678 2580.25 1398.1

SUPPORT PAD #3 2.75m 5.20m 0.24m 2.60m 11.08m 4.62m 210 896 373.56 194.44

Motor - - - 2.60m 4.00m 6.00m 487 749 1124 687.02

Foundation Weight

L

Equipment80.86 kN

6863.73 kN

532.56 kN

187.31 kN . . . .

Shaft+coupling 2.60m 7.70m 5.19m 31 91 61 32.296

r assemble & Fan Casing 2.60m 10.98m 6.00m 352 1486 812 496.38

Silencer & Duct Not included as it is supported by aux. boiler steel and there is a flexible joint between duct and equipment.

TOTALS: 20310 47626 20394 9104

Mx due to Axial Ld FSY = 77.8 x6 = 466.8 kN-mMy due to Lateral Ld FSx = 11.8 x6 = 70.8 kN-m

.

7811.56 kN

135.33 kN

11.77 kN

Static check - Soil Pressure

CGX(EQUIP & FOUND) = 20310.05 / 7811.56 = 2.60m ex = 2.6 - 2.6 = 0.00m 0% of foundation width

CGY (EQUIP & FOUND) 476256 / 781156 6 10 6 23 61 0 13 0 1% f f d ti l th

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Rev C, 2010-9-15


2010/4/6

DYNAMIC CHECK:

Vertical Translation (Per ARYA)

Area of rectangular foundation base, A = 12.45 x 5.2 =

A 64.74

3.142

64.74 m2

4.54 mEquivalent radius of foundation base, ro = = =

Spring Constantz

=2.14 (fig. 4-1, ref 4 ) for B/L = 0.42

(Table 4-1, ref 4 )

( 72593 )( 2.14 ) ( 5.2 )( 12.45 )

Equivalent spring constant Kz =Gz BL

(1 - )

1 k 1

2 m 6.28

W 7812

g 9.815

( 1 - 0.35 )

7.8 Hz795.904

Mass, m = = = 795.88

1922999

=

==

kN/sec2

-m

Vertical Natural Frequency = fnz =

7812Mass Ratio = z =

W (1-)=

4sro3

(1 - 0.35 )= (Table 4-3, ref 4 )

4 (15.74 )( 4.54 )0.862

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Rev C, 2010-9-15


2010/4/6

0.425

( 1.71 )

= 0.784Modified dam in ratio, D' =

0.425 (z)

NOTE: If Dz > .707, NO RESONANCE WILL OCCUR

.0.86

, z z

Horizontal Translation (Per ARYA)

A 64.74

3.142

Spring Constant x

= 1 (fig. 4-1, ref 4 ) for B/L = 0.42

Equivalent radius of foundation base, ro = = = 4.54 m

1 k 12 m 6.28

Equivalent spring constant Kx = 2(1 +) Gx BL = 2( 1 +0.35)( 72593 )( 1 ) ( 5.2 )( 12.45 ) = 1577039 kN/m

7811.56( 7 - 8(0.35))= 1.071

Horizontal Natural Frequency, fnx = =1577039

= 7.1 Hz795.88

Mass ratio = =W (7 - 8)

=3

Geometric Damping ratio Dz = 0.288/Bz = 0.278 (Table 4-3, ref 4 )Internal Damping Di of Soil =negligible

.32(1 - )sro

3 x 32 ( 1 - 0.35 )(15.74 )( 4.54 ) 3

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2010/4/6

Torsional Excitation (Rocking) Dynamic Analysis (Per ARYA)

=

LB3 ( 12.45 )( 5.2 )

Rocking Spring Coefficient = = 0.424 ( FROM FIGURE 1 WITH B/L =0.42 )

( 3 )( 3.14 )3.69 m=

9104.4 Kn-m-sec2

Equivalent radius of

foundation base, ro ==

344

1 k 1

2 6.28

72592.59( 0.42 )( 12.45 )( 5.2 ) =1 - 0.35

15923679 kN-m/rad

= 6.7 Hz

3( 9104.37 )( 1 - 0.35)

Rocking SpringConstant =

k =

Rocking Natural Frequency = fn = =15923679

9104.37

GLB2

1 -

3 1 -

2

( 1 +(2.02 ) (2.02)

. .= 2.02

8ro5 8 ( 15.74 / 9.815)(3.69 )

Mass ratio = u =

=

0.15 = 0.035) B

DampingRatio

D = 0.15

6.7 HzDamped Rocking Natural

fd =fn

=6.66

=

5

2

Consider embedment effect

b d f ld l b li bl if b kfill i ll d i h f d i d

.1 - 2 D 1 - 2 ( 0.035 )Frequency =

2

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2010/4/6

8.42

= 8.4 Hz

Damped Rocking Natural

fd =

fn

= 2

FREQUENCY RATIO, r =Fo / fn =

Check Displacement @ Machine shaft Elevation:

Horizontal mode:

1

^ ^ ^

.1 - 2 D2 1 - 2 ( 0.017 )Frequency =

magnification factor Mr =

24.8 / 8.4 = 2.95

2

1-r 2 2 + 2Dxr 2

where r = / n = f /fn = 24.8/9.2 = 2.685 = 2 x freq. in Hz

Hence, Mr = 0.157

Displacement response X =Mr * Fx /kx = 0.157 x 475 / 2680471x 1000

x = 0.0277 mm

Rotational Mode: 1

((1-r 2) 2 +(2Dr) 2)

where r = / n = f /fn = 24.8/8.4 = 2.945

magnification factor Mr =

T oug t e un a ance orce at catastrop c amage s ony 78 N, ut u Dynamc Horzonta oa =475 N s

used for calculating Displ. -- Conservative

, r .

T = 9.0*4*2.010 = 72.36 kNm

i l

(Max rotating Load due to unbalance of the fan motor =

9kN @ 2 rows of 4 supports, spaced at 2.01m))

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Rev C, 2010-9-15


2010/4/6

SUMMARY OF RESULTS

NATURAL FREQUENCIES SHALL NOT OCCUR BETWEEN 17.36 Hz to 32.24 Hz and 39.68 Hz to 59.52 Hz

Undamped Frequency (withou embed. ): Damped Frequency (resonant Freq) with embedment effect

Vertical Natural Frequency = 7.8 Hz , OK Vertical Damped Natural Frequency = >8.9 Hz , OK

Horizontal Natural Frequency = 7.1 Hz , OK Horizontal Damped Natural Frequency = >9.2 Hz , OK

Rocking Natural Frequency = 6.7 Hz , OK Rocking Damped Natural Frequency = 8.4 Hz , OK

Check Soil Pressure under Dynamic loading:

Additional Vertical Force =

Additional My due to Lateral Ld FDx = 475 x0 = 0 kN-m

P Mx 491.0 0

A Sx 64.74 56.1

=

Additional Soil Pressure due to Dynamic Loading = q =

491.0 KN

=

7.6 kN/m2

+ +

Total Bearing Pressure = + =

T101017-VE04-P1UHA-160004_Analysis and Design of PA Fan Foundation - Calculations

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