column effective length calculation

49
DESIGN SHEET Job No. 8500 Building No. Rev. No. Customer ADCO-Abu Dhabi Company for Onshore Oil Operati Date Project SAS Full Field Development Designed By DescriptionCalculation of kz Checked By START BY SELECTING YOUR TYPE OF STRUCTURE BIENVENIDO! THIS SPREADSHEET WAS DESIGNED TO CALCULATE FOR THE EFFECTIVE LENGTH FACTOR, kz AS PER REQUIREMENT OF BS 5950-PART 1:2000. THE AIM IS TO MAKE THIS NOTE USER-FRIENDLY AND THE APPROACH WAS MADE AS SIMPLE AS POSSIBLE. ANY SUGGESTIONS/INPUTS FOR FURTHER IMPROVEMENT WILL BE GREATLY APPRECIATED.------FBFernandezJr. FIVE LEVELS-Exterior Columns FIVE LEVELS-Interior Columns FOUR LEVELS-Exterior Columns FOUR LEVELS-Interior Columns THREE LEVELS-Exterior Columns THREE LEVELS-Interior Columns TWO/ONE LEVEL-Exterior Columns TWO/ONE LEVEL-Interior Columns

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Column Effective Length Calculation based on stiffness BS Code

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Page 1: Column Effective Length Calculation

DESIGN SHEETJob No. 8500 Building No. Rev. No. 0

Customer ADCO-Abu Dhabi Company for Onshore Oil Operations Date 13/5/09

Project SAS Full Field Development Designed By FBFjr.

Description Calculation of kz Checked By

START BY SELECTING YOUR TYPE OF STRUCTURE

BIENVENIDO! THIS SPREADSHEET WAS DESIGNED TO CALCULATE FOR THE EFFECTIVE LENGTH FACTOR, kz AS PER REQUIREMENT OF BS 5950-PART 1:2000. THE AIM IS TO MAKE THIS NOTE USER-FRIENDLY AND THE APPROACH WAS MADE AS SIMPLE AS POSSIBLE. ANY SUGGESTIONS/INPUTS

FOR FURTHER IMPROVEMENT WILL BE GREATLY APPRECIATED.------FBFernandezJr.

FIVE LEVELS-Exterior Columns FIVE LEVELS-Interior Columns

FOUR LEVELS-Exterior Columns FOUR LEVELS-Interior Columns

THREE LEVELS-Exterior Columns THREE LEVELS-Interior Columns

TWO/ONE LEVEL-Exterior Columns TWO/ONE LEVEL-Interior Columns

Page 2: Column Effective Length Calculation

CALCULATION OF EFFECTIVE LENGTH RATIO-BS 5950 METHODReference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURE: STEEL PIPERACK 5

Level 5

5.00 mLevel 4

4.00 m

Level 3

3.00 m

Level 2

2.00 m

Level 1

1.00 m

3.00 m

COLUMN LOCATION INTERIOR COLUMNS

NUMBER OF LEVELS 5

ENTER SECTION PROFILES

COLUMN PROFILE LENGTH, mk FACTORS

UC 203x203x60 6125 1.00 0.8182 1.0000 3.85

UC 203x203x60 6125 2.00 0.7143 0.8182 2.24

UC 203x203x60 6125 3.00 0.6364 0.7143 1.87

UC 203x203x60 6125 4.00 0.5745 0.6364 1.69

UC 203x203x60 6125 5.00 0.3750 0.5745 1.46

LEFT SECTION LENGTH, m

UC 203x203x60 6125 3.00

UC 203x203x60 6125 3.00

UC 203x203x60 6125 3.00

UC 203x203x60 6125 3.00

UC 203x203x60 6125 3.00

MOMENT OF INERTIA, cm4

COLUMN EFFECTIVE LENGTH FACTOR, KZk1 k2

Segment 1

Segment 2

Segment 3

Segment 4

Segment 5

BEAM PROFILE

MOMENT OF INERTIA, cm4

Level 1

Level 2

Level 3

Level 4

Level 5

Back to HOME

1

2

3

4

5

Page 3: Column Effective Length Calculation

Back to HOME

Page 4: Column Effective Length Calculation

CALCULATION SHEETCALCULATION OF STIFFNESS COEFFICIENT-BS 5950 METHOD

Reference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURE: STEEL PIPERACK 5

Level 5

5.00 metersLevel 4

4.00 meters

Level 3

3.00 meters

Level 2

2.00 meters

Level 1

1.00 meters

3.00 meters

WARNING: PLEASE DO NO CHANGE ANY ENTRYA. FOR SEGMENT 1

ELEMENT SECTION PROFILE

Segment 1 UC 203x203x60 6125 1.00

Segment 2 UC 203x203x60 6125 2.00

Level 1 UC 203x203x60 6125 3.00

61.25

30.625

0.00

0.00

20.416666667

0.00

0.00

Figure E-3-Distribution factors for continuous columns

0.8182 from Figure E.3 page 182

1.0000

from Figure E.2 page 181

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

1

2

3

4

5

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 5: Column Effective Length Calculation

thus, kz = 3.85

Page 6: Column Effective Length Calculation

B. FOR SEGMENT 2

ELEMENT SECTION PROFILE

Segment 1 UC 203x203x60 6125 1.00

Segment 2 UC 203x203x60 6125 2.00

Segment 3 UC 203x203x60 6125 3.00

Level 1 UC 203x203x60 6125 3.00

Level 2 UC 203x203x60 6125 3.00

30.63

20.42

61.25

0.00

20.416666667

20.42

0.00

Figure E-3-Distribution factors for continuous columns

0.7143 from Figure E.3 page 182

0.8182

from Figure E.2 page 181

thus, kz = 2.24

C. FOR SEGMENT 3

ELEMENT SECTION PROFILE

Segment 2 UC 203x203x60 6125 2.00

Segment 3 UC 203x203x60 6125 3.00

Segment 4 UC 203x203x60 6125 4.00

Level 2 UC 203x203x60 6125 3.00

Level 3 UC 203x203x60 6125 3.00

20.42

15.31

30.63

0.00

20.416666667

20.42

0.00

Figure E-3-Distribution factors for continuous columns

0.6364 from Figure E.3 page 182

0.7143

from Figure E.2 page 181

thus, kz = 1.87

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 7: Column Effective Length Calculation

D. FOR SEGMENT 4

ELEMENT SECTION PROFILE

Segment 3 UC 203x203x60 6125 3.00

Segment 4 UC 203x203x60 6125 4.00

Segment 5 UC 203x203x60 6125 5.00

Level 3 UC 203x203x60 6125 3.00

Level 4 UC 203x203x60 6125 3.00

15.31

12.25

20.42

0.00

20.416666667

20.42

0.00

Figure E-3-Distribution factors for continuous columns

0.5745 from Figure E.3 page 182

0.6364

from Figure E.2 page 181

thus, kz = 1.69

E. FOR SEGMENT 5

ELEMENT SECTION PROFILE

Segment 4 UC 203x203x60 6125 4.00Segment 5 UC 203x203x60 6125 5.00

Level 4 UC 203x203x60 6125 3.00Level 5 UC 203x203x60 6125 3.00

12.25

0.00

15.31

0.00

20.416666667

20.42

0.00

Figure E-3-Distribution factors for continuous columns

0.3750 from Figure E.3 page 182

0.5745

from Figure E.2 page 181

thus, kz = 1.46

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 8: Column Effective Length Calculation

CALCULATION OF EFFECTIVE LENGTH RATIO-BS 5950 METHODReference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURESTEEL PIPERACK 5

Level 5

7.00 mLevel 4

6.00 m

Level 3

5.00 m

Level 2

4.00 m

Level 1

3.00 m

4.00 m 5.00 m

COLUMN LOCATION INTERIOR COLUMNS

NUMBER OF LEVELS 5

ENTER SECTION PROFILES (in red fonts)

COLUMN PROFILE LENGTH, mk FACTORS

IPE220 2770 3.00 0.9722 1.0000 9.38

IPE240 3890 4.00 0.9011 0.9722 4.39

IPE120 318 5.00 0.7729 0.9011 2.72

IPE200 1940 6.00 0.5669 0.7729 1.89

IPE180 1320 7.00 0.3253 0.5669 1.42

LEFT SECTION LENGTH, m RIGHT SECTION LENGTH, m

IPE80 80.1 4.00 IPE100 171 5.00

IPE120 318 4.00 IPE100 171 5.00

IPE120 318 4.00 IPE100 171 5.00

IPE160 869 4.00 IPE160 869 5.00

IPE160 869 4.00 IPE160 869 5.00

MOMENT OF INERTIA, cm4

COLUMN EFFECTIVE LENGTH FACTOR, KZk1 k2

Segment 1

Segment 2

Segment 3

Segment 4

Segment 5

BEAM PROFILE

MOMENT OF INERTIA, cm4

MOMENT OF INERTIA, cm4

Level 1

Level 2

Level 3

Level 4

Level 5

1

2

3

4

5

Page 9: Column Effective Length Calculation

Back to HOME

Page 10: Column Effective Length Calculation

CALCULATION SHEETCALCULATION OF STIFFNESS COEFFICIENT-BS 5950 METHOD

Reference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURE: STEEL PIPERACK 5

Level 5

7.00 mLevel 4

6.00 m

Level 3

5.00 m

Level 2

4.00 m

Level 1

3.00 m

4.00 m 5.00 m

WARNING: PLEASE DO NOT CHANGE ANY ENTRYA. FOR SEGMENT 1

ELEMENT SECTION PROFILE

Segment 1 IPE220 2770 3.00

Segment 2 IPE240 3890 4.00

Level 1Left IPE80 80.1 4.00

Right IPE100 171 5.00

9.2333333333

9.725

0.00

0.20

0.342

0.00

0.00

Figure E-3-Distribution factors for continuous columns

0.9722 from Figure E.3 page 182

1.0000

from Figure E.2 page 181

thus, kz = 9.38

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

1

2

3

4

5

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 11: Column Effective Length Calculation

B. FOR SEGMENT 2

ELEMENT SECTION PROFILE

Segment 1 IPE220 2770 3.00

Segment 2 IPE240 3890 4.00

Segment 3 IPE120 318 5.00

Level 1Left IPE80 80.1 4.00

Right IPE100 171 5.00

Level 2Left IPE120 318 4.00

Right IPE100 171 5.00

9.73

0.64

9.23

0.80

0.342

0.34

0.20

Figure E-3-Distribution factors for continuous columns

0.9011 from Figure E.3 page 182

0.9722

from Figure E.2 page 181

thus, kz = 4.39

C. FOR SEGMENT 3

ELEMENT SECTION PROFILE

Segment 2 IPE240 3890 4.00

Segment 3 IPE120 318 5.00

Segment 4 IPE200 1940 6.00

Level 2Left IPE120 318 4.00

Right IPE100 171 5.00

Level 3Left IPE120 318 4.00

Right IPE100 171 5.00

0.64

3.23

9.73

0.80

0.342

0.34

0.80

Figure E-3-Distribution factors for continuous columns

0.7729 from Figure E.3 page 182

0.9011

from Figure E.2 page 181

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 12: Column Effective Length Calculation

thus, kz = 2.72

Page 13: Column Effective Length Calculation

D. FOR SEGMENT 4

ELEMENT SECTION PROFILE

Segment 3 IPE120 318 5.00

Segment 4 IPE200 1940 6.00

Segment 5 IPE180 1320 7.00

Level 3Left IPE120 318 4.00

Right IPE100 171 5.00

Level 4Left IPE160 869 4.00

Right IPE160 869 5.00

3.23

1.89

0.64

2.17

1.738

0.34

0.80

Figure E-3-Distribution factors for continuous columns

0.5669 from Figure E.3 page 182

0.7729

from Figure E.2 page 181

thus, kz = 1.89

E. FOR SEGMENT 5

ELEMENT SECTION PROFILE

Segment 4 IPE200 1940 6.00

Segment 5 IPE180 1320 7.00

Level 4Left IPE160 869 4.00

Right IPE160 869 5.00

Level 5Left IPE160 869 4.00

Right IPE160 869 5.00

1.89

0.00

3.23

2.17

1.738

1.74

2.17

Figure E-3-Distribution factors for continuous columns

0.3253 from Figure E.3 page 182

0.5669

from Figure E.2 page 181

thus, kz = 1.42

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 14: Column Effective Length Calculation

CALCULATION OF STIFFNESS COEFFICIENT-BS 5950 METHODReference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURE: STEEL PIPERACK 5

Level 4

3.00 m

Level 3

2.50 m

Level 2

2.10 m

Level 1

4.25 m

2.50 m

COLUMN LOCATION INTERIOR COLUMNS

NUMBER OF LEVELS 4BASE CONNETION PINNEDENTER SECTION PROFILES

COLUMN PROFILE LENGTH, mk FACTORS

UC 356x368x129 40250 4.25 0.8182 1.0000 3.21

UC 356x368x129 40250 2.10 0.7143 0.8182 2.49

UC 356x368x129 40250 2.50 0.6364 0.7143 3.08

UC 356x368x129 40250 3.00 0.5745 0.6364 2.60

LEFT SECTION LENGTH, m

UB 406x178x74 27310 2.50

UC 254x254x73 11410 2.50

UC 254x254x73 11410 2.50

UB 305x165x40 8503 2.50

MOMENT OF INERTIA, cm4

COLUMN EFFECTIVE LENGTH FACTOR, KZk1 k2

Segment 1

Segment 2

Segment 3

Segment 4

BEAM PROFILE

MOMENT OF INERTIA, cm4

Level 1

Level 2

Level 3

Level 4

Back to HOME

1

2

3

4

Page 15: Column Effective Length Calculation

CALCULATION SHEETCALCULATION OF STIFFNESS COEFFICIENT-BS 5950 METHOD

Reference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURE: STEEL PIPERACK 5

Level 4

3.00 meters

Level 3

2.50 meters

Level 2

2.10 meters

Level 1

4.25 meters

2.50 meters

WARNING: PLEASE DO NO CHANGE ANY ENTRYA. FOR SEGMENT 1

ELEMENT SECTION PROFILE

Segment 1 UC 356x368x129 40250 4.25

Segment 2 UC 356x368x129 40250 2.10

Level 1 UB 406x178x74 27310 2.50

94.70588235

191.6666667

0.00

0.00

109.24

0.00

0.00

Figure E-3-Distribution factors for continuous columns

0.7239 from Figure E.3 page 182

1.0000

from Figure E.2 page 181

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

1

2

3

4

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 16: Column Effective Length Calculation

thus, kz = 3.21

Page 17: Column Effective Length Calculation

B. FOR SEGMENT 2

ELEMENT SECTION PROFILE

Segment 1 UC 356x368x129 40250 4.25

Segment 2 UC 356x368x129 40250 2.10

Segment 3 UC 356x368x129 40250 2.50

Level 1 UB 406x178x74 27310 2.50

Level 2 UC 254x254x73 11410 2.50

191.67

161.00

94.71

0.00

45.64

109.24

0.00

Figure E-3-Distribution factors for continuous columns

0.8854 from Figure E.3 page 182

0.7239

from Figure E.2 page 181

thus, kz = 2.49

C. FOR SEGMENT 3

ELEMENT SECTION PROFILE

Segment 2 UC 356x368x129 40250 2.10

Segment 3 UC 356x368x129 40250 2.50

Segment 4 UC 356x368x129 40250 3.00

Level 2 UC 254x254x73 11410 2.50

Level 3 UC 254x254x73 11410 2.50

161.00

134.17

191.67

0.00

45.64

45.64

0.00

Figure E-3-Distribution factors for continuous columns

0.8661 from Figure E.3 page 182

0.8854

from Figure E.2 page 181

thus, kz = 3.08

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 18: Column Effective Length Calculation

D. FOR SEGMENT 4

ELEMENT SECTION PROFILE

Segment 3 UC 356x368x129 40250 3.00

Segment 4 UC 356x368x129 40250 3.00

Level 3 UC 254x254x73 11410 2.50

Level 4 UB 305x165x40 8503 2.50

134.17

0.00

134.17

0.00

34.012

45.64

0.00

Figure E-3-Distribution factors for continuous columns

0.7978 from Figure E.3 page 182

0.8546

from Figure E.2 page 181

thus, kz = 2.60

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 19: Column Effective Length Calculation

CALCULATION OF EFFECTIVE LENGTH RATIO-BS 5950 METHODReference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURESTEEL PIPERACK 5

Level 4

6.00 m

Level 3

5.00 m

Level 2

3.00 m

Level 1

4.00 m

7.00 m 4.00 m

COLUMN LOCATION INTERIOR COLUMNS

NUMBER OF LEVELS 4

ENTER SECTION PROFILES (in red fonts)

COLUMN PROFILE LENGTH, mk FACTORS

W14X370 226429.12 4.00 0.9722 1.0000 3.05

W14X370 226429.12 3.00 0.9011 0.9722 1.91

W14X211 110717.18 5.00 0.7729 0.9011 1.70

W14X257 141518.2 6.00 0.5669 0.7729 1.39

LEFT SECTION LENGTH, m RIGHT SECTION LENGTH, m

W14X370 226429.12 7.00 W14X211 110717.18 4.00

W14X211 110717.18 7.00 W14X211 110717.18 4.00

W14X211 110717.18 7.00 W14X211 110717.18 4.00

W14X211 110717.18 7.00 W14X211 110717.18 4.00

MOMENT OF INERTIA, cm4

COLUMN EFFECTIVE LENGTH FACTOR, KZk1 k2

Segment 1

Segment 2

Segment 3

Segment 4

BEAM PROFILE

MOMENT OF INERTIA, cm4

MOMENT OF INERTIA, cm4

Level 1

Level 2

Level 3

Level 4

Back to HOME

1

2

3

4

Page 20: Column Effective Length Calculation

Back to HOME

Page 21: Column Effective Length Calculation

CALCULATION SHEETCALCULATION OF STIFFNESS COEFFICIENT-BS 5950 METHOD

Reference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURE: STEEL PIPERACK

Level 4

6.00 m

Level 3

5.00 m

Level 2

3.00 mLevel 1

4.00 m

7.00 m 4.00 m

WARNING: PLEASE DO NOT CHANGE ANY ENTRYA. FOR SEGMENT 1

ELEMENT SECTION PROFILE

Segment 1 W14X370 226429.12 4.00

Segment 2 W14X370 226429.12 3.00

Level 1Left W14X370 226429.12 7.00

Right W14X211 110717.18 4.00

566.0728

754.76373333

0.00

323.47

276.79295

0.00

0.00

Figure E-3-Distribution factors for continuous columns

0.6875 from Figure E.3 page 182

1.0000

from Figure E.2 page 181

thus, kz = 3.05

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

4

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

1

2

3

4

Page 22: Column Effective Length Calculation

B. FOR SEGMENT 2

ELEMENT SECTION PROFILE

Segment 1 W14X370 226429.12 4.00

Segment 2 W14X370 226429.12 3.00

Segment 3 W14X211 110717.18 5.00

Level 1Left W14X370 226429.12 7.00

Right W14X211 110717.18 4.00

Level 2Left W14X211 110717.18 7.00

Right W14X211 110717.18 4.00

754.76

221.43

566.07

158.17

276.79295

276.79

323.47

Figure E-3-Distribution factors for continuous columns

0.6918 from Figure E.3 page 182

0.6875

from Figure E.2 page 181

thus, kz = 1.91

C. FOR SEGMENT 3

ELEMENT SECTION PROFILE

Segment 2 W14X370 226429.12 3.00

Segment 3 W14X211 110717.18 5.00

Segment 4 W14X257 141518.2 6.00

Level 2Left W14X211 110717.18 7.00

Right W14X211 110717.18 4.00

Level 3Left W14X211 110717.18 7.00

Right W14X211 110717.18 4.00

221.43

235.86

754.76

158.17

276.79295

276.79

158.17

Figure E-3-Distribution factors for continuous columns

0.5125 from Figure E.3 page 182

0.6918

from Figure E.2 page 181

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 23: Column Effective Length Calculation

thus, kz = 1.70

D. FOR SEGMENT 4

ELEMENT SECTION PROFILE

Segment 3 W14X211 110717.18 5.00

Segment 4 W14X257 141518.2 6.00

Level 3Left W14X211 110717.18 7.00

Right W14X211 110717.18 4.00

Level 4Left W14X211 110717.18 7.00

Right W14X211 110717.18 4.00

235.86

0.00

221.43

158.17

276.79295

276.79

158.17

Figure E-3-Distribution factors for continuous columns

0.3516 from Figure E.3 page 182

0.5125

from Figure E.2 page 181

thus, kz = 1.39

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 24: Column Effective Length Calculation

CALCULATION OF EFFECTIVE LENGTH RATIO-BS 5950 METHODReference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)STRUCTURE: STEEL PIPERACK

Level 3

2.50 m

Level 2

2.10 m

Level 1

5.25 m

4.00 m

COLUMN LOCATION EXTERIOR COLUMNS

NUMBER OF LEVELS 3BASE CONNETION PINNEDENTER SECTION PROFILES

COLUMN PROFILE LENGTH, mk FACTORS

UC 356x368x129 40250 5.25 0.8182 1.0000 3.99

UC 356x368x129 40250 2.10 0.7143 0.8182 3.15

UC 356x368x129 40250 2.50 0.6364 0.7143 3.26

LEFT SECTION LENGTH, m

UB 406x178x60 21600 4.00

UC 254x254x73 11410 4.00

UC 254x254x73 11410 4.00

MOMENT OF INERTIA, cm4

COLUMN EFFECTIVE LENGTH FACTOR, KZk1 k2

Segment 1

Segment 2

Segment 3

BEAM PROFILE

MOMENT OF INERTIA, cm4

Level 1

Level 2

Level 3

Back to HOME

1

2

3

Page 25: Column Effective Length Calculation

CALCULATION SHEETCALCULATION OF STIFFNESS COEFFICIENT-BS 5950 METHOD

Reference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURE: STEEL PIPERACK 5

Level 3

2.50 meters

Level 2

2.10 meters

Level 1

5.25 meters

4.00 meters

WARNING: PLEASE DO NO CHANGE ANY ENTRYA. FOR SEGMENT 1

ELEMENT SECTION PROFILE

Segment 1 UC 356x368x129 40250 5.25

Segment 2 UC 356x368x129 40250 2.10

Level 1 UB 406x178x60 21600 4.00

76.66666667

191.6666667

0.00

0.00

54

0.00

0.00

Figure E-3-Distribution factors for continuous columns

0.8325 from Figure E.3 page 182

1.0000

from Figure E.2 page 181

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

3

1

2

3

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 26: Column Effective Length Calculation

thus, kz = 3.99

Page 27: Column Effective Length Calculation

B. FOR SEGMENT 2

ELEMENT SECTION PROFILE

Segment 1 UC 356x368x129 40250 5.25

Segment 2 UC 356x368x129 40250 2.10

Segment 3 UC 356x368x129 40250 2.50

Level 1 UB 406x178x60 21600 4.00

Level 2 UC 254x254x73 11410 4.00

191.67

161.00

76.67

0.00

28.525

54.00

0.00

Figure E-3-Distribution factors for continuous columns

0.9252 from Figure E.3 page 182

0.8325

from Figure E.2 page 181

thus, kz = 3.15

C. FOR SEGMENT 3

ELEMENT SECTION PROFILE

Segment 2 UC 356x368x129 40250 2.10

Segment 3 UC 356x368x129 40250 2.50

Level 2 UC 254x254x73 11410 4.00

Level 3 UC 254x254x73 11410 4.00

161.00

0.00

191.67

0.00

28.525

28.53

0.00

Figure E-3-Distribution factors for continuous columns

0.8495 from Figure E.3 page 182

0.9252

from Figure E.2 page 181

thus, kz = 3.26

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 28: Column Effective Length Calculation

CALCULATION OF EFFECTIVE LENGTH RATIO-BS 5950 METHODReference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT:

LOCATION:

CLIENT:

STRUCTURE:

Level 2

2.03 m

Level 1

6.50 m

1.60 m

COLUMN LOCATION EXTERIOR COLUMNS

NUMBER OF LEVELS 2BASE CONNETION FIXED

ENTER SECTION PROFILES

COLUMN PROFILE LENGTH, mk FACTORS

UC 356x368x129 40250 6.50 0.0000 0.0000 1.72

UC 356x368x129 40250 2.03 0.9043 0.0000 3.29

LEFT SECTION LENGTH, m

UB 254x146x31 4413 1.60

UB 254x146x31 4413 1.60

MOMENT OF INERTIA, cm4

COLUMN EFFECTIVE LENGTH FACTOR, KZk1 k2

Segment 1

Segment 2

BEAM PROFILE

MOMENT OF INERTIA, cm4

Level 1

Level 2

Back to HOME

1

2

Page 29: Column Effective Length Calculation

CALCULATION OF EFFECTIVE LENGTH RATIO-BS 5950 METHODReference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURESTEEL PIPERACK 5

Level 3

4.00 m

Level 2

3.00 m

Level 1

6.00 m

4.50 m 5.00 m

COLUMN LOCATION INTERIOR COLUMNS

NUMBER OF LEVELS 3

ENTER SECTION PROFILES (in red fonts)

COLUMN PROFILE LENGTH, mk FACTORS

HEA240 7760 6.00 0.9722 1.0000 2.25

HEA240 7760 3.00 0.9011 0.9722 1.25

HEA240 7760 4.00 0.7729 0.9011 1.27

LEFT SECTION LENGTH, m RIGHT SECTION LENGTH, m

HEA360 33090 4.50 HEA240 7760 5.00

HEA360 33090 4.50 HEA240 7760 5.00

HEA240 7760 4.50 HEA240 7760 5.00

MOMENT OF INERTIA, cm4

COLUMN EFFECTIVE LENGTH FACTOR, KZk1 k2

Segment 1

Segment 2

Segment 3

BEAM PROFILE

MOMENT OF INERTIA, cm4

MOMENT OF INERTIA, cm4

Level 1

Level 2

Level 3

Back to HOME

1

2

3

Page 30: Column Effective Length Calculation

Back to HOME

Page 31: Column Effective Length Calculation

CALCULATION SHEETCALCULATION OF STIFFNESS COEFFICIENT-BS 5950 METHOD

Reference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURE: STEEL PIPERACK

Level 3

4.00 m

Level 2

3.00 m

Level 1

6.00 m

4.50 m 5.00 m

WARNING: PLEASE DO NOT CHANGE ANY ENTRYA. FOR SEGMENT 1

ELEMENT SECTION PROFILE

Segment 1 HEA240 7760 6.00

Segment 2 HEA240 7760 3.00

Level 1Left HEA360 33090 4.50

Right HEA240 7760 5.00

12.933333333

25.866666667

0.00

73.53

15.52

0.00

0.00

Figure E-3-Distribution factors for continuous columns

0.3035 from Figure E.3 page 182

1.0000

from Figure E.2 page 181

thus, kz = 2.25

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

1

2

3

Page 32: Column Effective Length Calculation

B. FOR SEGMENT 2

ELEMENT SECTION PROFILE

Segment 1 HEA240 7760 6.00

Segment 2 HEA240 7760 3.00

Segment 3 HEA240 7760 4.00

Level 1Left HEA360 33090 4.50

Right HEA240 7760 5.00

Level 2Left HEA360 33090 4.50

Right HEA240 7760 5.00

25.87

19.40

12.93

73.53

15.52

15.52

73.53

Figure E-3-Distribution factors for continuous columns

0.3370 from Figure E.3 page 182

0.3035

from Figure E.2 page 181

thus, kz = 1.25

C. FOR SEGMENT 3

ELEMENT SECTION PROFILE

Segment 2 HEA240 7760 4.00

Segment 3 HEA240 7760 4.00

Level 2Left HEA360 33090 4.50

Right HEA240 7760 5.00

Level 3Left HEA240 7760 4.50

Right HEA240 7760 5.00

19.40

0.00

19.40

17.24

15.52

15.52

73.53

Figure E-3-Distribution factors for continuous columns

0.3719 from Figure E.3 page 182

0.3035

from Figure E.2 page 181

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 33: Column Effective Length Calculation

thus, kz = 1.27

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 34: Column Effective Length Calculation

CALCULATION SHEETCALCULATION OF STIFFNESS COEFFICIENT-BS 5950 METHOD

Reference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT:LOCATION:CLIENT:DESIGNER:STRUCTURE:

Level 2

2.03 meters

Level 1

6.50 meters

1.60 meters

WARNING: PLEASE DO NO CHANGE ANY ENTRYA. FOR SEGMENT 1

ELEMENT SECTION PROFILE

Segment 1 UC 356x368x129 40250 6.50

Segment 2 UC 356x368x129 40250 2.03

Level 1 UB 254x146x31 4413 1.60

61.92307692

198.7654321

0.00

0.00

27.58125

0.00

0.00

Figure E-3-Distribution factors for continuous columns

0.9043 from Figure E.3 page 182

0.0000

from Figure E.2 page 181

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

for pinned base connection k2 =1

for fixed base connection k2 =0

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

1

2

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 35: Column Effective Length Calculation

thus, kz = 1.72

Page 36: Column Effective Length Calculation

B. FOR SEGMENT 2

ELEMENT SECTION PROFILE

Segment 1 UC 356x368x129 40250 6.50

Segment 2 UC 356x368x129 40250 2.03

Level 1 UB 254x146x31 4413 1.60

Level 2 UB 254x146x31 4413 1.60

198.77

0.00

61.92

0.00

27.58125

27.58

0.00

Figure E-3-Distribution factors for continuous columns

0.8781 from Figure E.3 page 182

0.9043

from Figure E.2 page 181

thus, kz = 3.29

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 37: Column Effective Length Calculation

CALCULATION OF EFFECTIVE LENGTH RATIO-BS 5950 METHODReference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURESTEEL PIPERACK 5

Level 2

0.00 m

Level 1

5.80 m

12.00 m 12.00 m

COLUMN LOCATION INTERIOR COLUMNS

NUMBER OF LEVELS 2

ENTER SECTION PROFILES (in red fonts)

COLUMN PROFILE LENGTH, mk FACTORS

UC 356x406x551 226900 5.80 0.9722 1.0000 7.80

none 0 0.00 0.9011 0.9722 N/A

LEFT SECTION LENGTH, m RIGHT SECTION LENGTH, m

UB 305x165x46 9899 12.00 UB 305x165x46 9899 12.00

none 0 0.00 none 0 0.00

MOMENT OF INERTIA, cm4

COLUMN EFFECTIVE LENGTH FACTOR, KZk1 k2

Segment 1

Segment 2

BEAM PROFILE

MOMENT OF INERTIA, cm4

MOMENT OF INERTIA, cm4

Level 1

Level 2

Back to HOME

1

2

Page 38: Column Effective Length Calculation

CALCULATION OF EFFECTIVE LENGTH RATIO-BS 5950 METHODReference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)STRUCTURE: STEEL PIPERACK

Level 1 1.09 m

1.20 m

COLUMN LOCATION EXTERIOR COLUMNS

NUMBER OF LEVELS 1BASE CONNETION FIXED

ENTER SECTION PROFILES

COLUMN PROFILE LENGTH, mk FACTORS

UC 152x152x30 1748 1.09 0.9094 0.0000 1.73

LEFT SECTION LENGTH, m

UC 152x152x30 1748 1.20

MOMENT OF INERTIA, cm4

COLUMN EFFECTIVE LENGTH FACTOR, KZk1 k2

Segment 1

BEAM PROFILE

MOMENT OF INERTIA, cm4

Level 1

Back to HOME

1

Page 39: Column Effective Length Calculation

CALCULATION SHEETCALCULATION OF STIFFNESS COEFFICIENT-BS 5950 METHOD

Reference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)STRUCTURE: STEEL PIPERACK

1.09 meters

1.20 meters

A. FOR SEGMENT 1

ELEMENT SECTION PROFILE

Segment 1 UC 152x152x30 40250 1.09

Level 1 UC 152x152x30 4413 1.20

369.266055

0.00

0.00

0.00

36.775

0.00

0.00

Figure E-3-Distribution factors for continuous columns

0.9094 from Figure E.3 page 182

0.0000

from Figure E.2 page 181

thus, kz = 1.73

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

for pinned base connection k2 =1

for fixed base connection k2 =0

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

1

Page 40: Column Effective Length Calculation

B. FOR SEGMENT 2

ELEMENT SECTION PROFILE

Segment 1 UC 152x152x30 40250 1.09

Segment 2 #REF! #REF! #REF!

Level 1 UC 152x152x30 4413 1.20

Level 2 UB 254x146x31 4413 1.60

#REF!

0.00

369.27

0.00

27.58125

36.78

0.00

Figure E-3-Distribution factors for continuous columns

#REF! from Figure E.3 page 182

#REF!

from Figure E.2 page 181

thus, kz = #REF!

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

Page 41: Column Effective Length Calculation

CALCULATION SHEETCALCULATION OF STIFFNESS COEFFICIENT-BS 5950 METHOD

Reference: BS 5950 Part 1:2000 Annex E(normative) pages 178-182

PROJECT: SAS FULL FIELDS DEVELOPMENTLOCATION: ABU DHABI, UNITED ARAB EMIRATESCLIENT: ABU DHABI COMPANY FOR OIL OPERATIONS (ADCO)DESIGNER: FEDERICO FERNANDEZ, JR.STRUCTURE: STEEL PIPERACK

Level 2

0.00 m

Level 1

5.80 m

12.00 m 12.00 m

WARNING: PLEASE DO NOT CHANGE ANY ENTRYA. FOR SEGMENT 1

ELEMENT SECTION PROFILE

Segment 1 UC 356x406x551 226900 5.80

Segment 2 none 0 0.00

Level 1Left UB 305x165x46 9899 12.00

Right UB 305x165x46 9899 12.00

391.20689655

0.0

0.00

8.25

8.2491666667

0.00

0.00

Figure E-3-Distribution factors for continuous columns

0.9595 from Figure E.3 page 182

1.0000

from Figure E.2 page 181

thus, kz = 7.80

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5

1

2

Page 42: Column Effective Length Calculation

B. FOR SEGMENT 2

ELEMENT SECTION PROFILE

Segment 1 UC 356x406x551 226900 5.80

Segment 2 none 0 0.00

Level 1Left UB 305x165x46 9899 12.00

Right UB 305x165x46 9899 12.00

Level 2Left none 0 0.00

Right none 0 0.00

0.00

0.00

391.21

0.00

0

8.25

8.25

Figure E-3-Distribution factors for continuous columns

N/A from Figure E.3 page 182

N/A

from Figure E.2 page 181

thus, kz = N/A

MOMENT OF INERTIA, IY (cm4)

LENGTH (meter)

KC= cm3

KU= cm3

KL= cm3

KTL= cm3

KTR= cm3

KBR= cm3

KBL= cm3

k1 = [kC+kU]/[kC+kU+kTL+kTR] =

k2 = [kC+kL]/[kC+kL+kBL+kBR] =

kc=I/Lcolumn to be designed

KL

KBRKBL

Ku

KTRKTL K1

K2

kz=LEL

=[ 1−0 .2 (k1+k 2)−0 .12k1 k21−0 .8 (k1+k2)+0.6 k1k2 ]

0 .5