DESIGN OF PIPERACK STRUCTURE

DESIGN OF PIPERACK STRUCTURE – ASCE 7-10

The length of Pipe rack 42m is considered to avoid forces due to thermal expansion of pipe rack under ambient temperature and free to expand at ends. This is general engineering practice for Pipe rack design with single vertical bracings and mentioned in “Design Specification for Steel Structures”

The geometry of the pipe rack structure as below

  • Width of the structure 9.0m
  • Length 42.0m
  • Frame spacing 6.0m
  • Height 20.0m.

Pipe rack consists of 3 levels of pipe support and 4 levels of cable tray at top. The transverse beam elevations as below:

  • EL (+) 7.5m – Pipe supporting Level
  • EL (+) 11.5m – Pipe supporting Level
  • EL (+) 15.5m – Pipe supporting Level
  • EL (+) 20.0m – Cable Tray & Grating Level

Column bases of the structure are fixed in transverse direction and pinned in longitudinal direction. The lateral stability of the structure is provided by concentric bracing system in longitudinal bracing and moment resisting frames in transverse direction. Pipe rack is supported on pedestal of height 0.3m above the ground level.

The structure is designed according to AISC 360-10.


Figure 4‑1 3D Isometric View of Pipe Rack

  1. The analysis and design is performed using STAAD Pro Connect Edition design software.

LOADS AND LOAD COMBINATIONS OF PIPERACKS

DEAD LOAD

 

Structural Dead load (Ds)

Structural self-weight of modelled steel elements are automatically generated in STAAD Pro

  • Structural self-weight of all steel members are computed considering a unit weight of 78.5 kN/m3 multiplied by a contingency factor of 1.2 taking into account for connection details.
  • Self-weight of secondary beam and grating is considered as 1.0 kN/m2 and applied as dead load on the structure.

Elevation (m)

Contributory length (m)

Unit Load (kN/m²)

width of walkway

Total (kN)

(+) 20.000

6

1

0.8

2.4


Figure 5‑1 Grating load at EL (+) 20.000 m

EMPTY DEAD LOAD (De)

  • Empty load of the pipe is considered as 60% of the pipe operating load.

Elevation (m)

Contributory length (m)

Unit Load (kN/m²)

60% for Empty Load (kN/m²)

Total (kN/m)

Remarks

(+) 7.50

6

2

1.2

7.2

Piping unit load as per SLD

(+) 11.50

6

2.8

1.68

10.08

Piping unit load as per SLD

(+) 15.50

6

2

1.2

7.2

Piping unit load as per SLD

  • Empty Cable tray load is assumed as 10% of cable tray operating load. Considered 600mm wide cable tray for loadings.

Elevation (m)

Unit Load (kN/m²)

10% for Empty Unit Load (kN/m²)

600 Wide Tray Load kN/m

No of Trays

Contributory length (m)

Total (kN)

Moment kNm (0.9m cantilever)

(+) 20.0

1.5

0.15

0.09

4

6

2.16

1.944

(+) 20.0

1.5

0.15

0.09

8

6

4.32


Figure 5‑2 Pipe Empty Dead load at EL (+) 7.5m, 11.5m, 15.5m & 20.0 m

PIPE OPERATING LOAD (DO)

  1. The pipe operating load is considered as per SLD from piping layout.

Elevation (m)

Contributory length (m)

Unit Load (kN/m²)

Total (kN/m)

Remarks

(+) 7.50

6

2

12

Piping unit load as per SLD

(+) 11.50

6

2.8

16.8

Piping unit load as per SLD

(+) 15.50

6

2

12

Piping unit load as per SLD

  1. The Cable tray load is considered as 1.5 kN/m2 per level of cable tray in the absence of electrical data. Considered 600mm wide cable tray for loadings.

Elevation (m)

Unit Load (kN/m²)

Cable Operating Load (kN/m)

No of Trays

Contributory length (m)

Total (kN)

Moment kNm (0.8m cantilever)

(+) 20.0

1.5

0.9

4

6

21.6

17.28

(+) 20.0

1.5

0.9

8

6

43.2


Figure 5‑3 Pipe Operating load at EL (+) 7.5m, 11.5m, 15.5m & 20.0 m

PIPE TEST LOAD (DT)

  1. The pipe test load is considered as per SLD from piping layout.

Elevation (m)

Contributory length (m)

Unit Load (kN/m²)

Total (kN/m)

Remarks

(+) 7.50

6

2

12

Piping unit load as per SLD

(+) 11.50

6

2.8

16.8

Piping unit load as per SLD

(+) 15.50

6

2

12

Piping unit load as per SLD

  1. The Cable tray load is considered as 1.5 kN/m2 per level of cable tray in the absence of electrical data. Assumed 600 wide cable tray for loadings.

Elevation (m)

Unit Load (kN/m²)

Cable Operating Load (kN/m)

No of Trays

Contributory length (m)

Total (kN)

Moment kNm (0.8m cantilever)

(+) 20.0

1.5

0.9

4

6

21.6

17.28

(+) 20.0

1.5

0.9

8

6

43.2


Figure 5‑4 Pipe Test load at EL (+) 7.5m, 11.5m, 15.5m & 20.0 m

LIVE LOAD (LL)

Live load is considered as 2.87 kN/m2 and applied as UDL.

Elevation (m)

Contributory length (m)

Unit Load (kN/m²)

width of walkway

Total (kN)

(+) 20.00

6

2.78

0.8

6.672


Figure 5‑5 Live load at EL (+) 20.0 m

THERMAL LOAD (Ts1 & Ts2)

  1. Temperature load are taken from the Basic Engineering Design Data. The thermal load is considered for the structure with maximum temperature variation of +42°C and minimum temperature variation of 6°C from the ambient temperature.
      1. Maximum Temperature : 42°C
      2. Minimum Temperature : 6°C
      3. Mean Ambient Temperature : 26°C
      4. TL1 max = 42 – 26 = +16 °C
      5. TL2 min = 6 – 26 = – 20 °C


Figure 5‑6 Thermal Load showing maximum and minimum temperature

PIPE ANCHOR/GUIDE LOAD (Ttsgu)

    1. No pipe Anchor/Guide load is considered.

PIPE FRICTION LOAD (TtF)

The 10% of the pipe operating load has been considered as pipe friction load for pipes numbers > 6. The loads are applied in longitudinal direction along the pipe direction.

Elevation (m)

Contributory length (m)

Pipe Operating Load (kN/m²)

10% for Pipe Operating Load (kN/m²)

(+) 7.50

6

2

0.2

(+) 11.50

6

2.8

0.28

(+) 15.50

6

2

0.2


Figure 5‑7 Pipe Empty load at EL (+) 4.45 m & EL (+) 6.35 m

WIND LOAD (WLX & WLZ)

Wind Parameters:

Basic wind speed (3sec-gust) = 85.70 m/s

Category = III

F, applied wind force = qz G Cf Af (Eq. 29.5-1), ASCE 7-10

qz – Velocity Pressure at height z above Ground.

G – Gust effect factor

Cf – Net force coefficient

Af – Projected area normal to wind

Velocity Pressure qz:

qz, (N/m2) = 0.613 Kz Kzt Kd V2 (Eq. 30.3-1), ASCE 7 -10

Kz, Velocity pressure exposure coefficient

Kzt, Topographic factor

Kd, Wind directionality factor

V, Basic wind speed (3 sec – Gust) m/s

Exposure Factor = D

H, Height of hill or escarpment = 27 m (Grading level)

Lh, Distance upwind of crest at H/2 = 50 m (shore to escarpment = 100m)

x, Distance from crest to building site = 100 m (escarpment to bldg = 100m)

z, Ht above ground surface at bldg site = 47 m 27+ ht of pipe rack

Considering 2-D escarpments

μ, Horizontal attenuation factor = 4 Figure 26.8-1 (ASCE 7-10) – down wind

γ, Height attenuation factor = 2.5 Figure 26.8-1 (ASCE 7-10)

k1, (k1/(H/Lh) = 0.95 = 0.513

k2, = 0.5

k3, = 0.095

Kzt, = 1.05

Kd, Wind directionality factor = 0.85 Table 26.6-1, ASCE 7-10

G – Gust effect factor = 0.85 26.9.1, ASCE 7-10


Table 5‑2 : wind pressure for height z

Cf – Net force coefficient

Ref: Sec. 4.1, ASCE-Report – Wind Loads and Anchor Bolt Design for Petrochemical Facilities

All structural members = 1.8 uniformly at all tier levels

For Cable tray = 2.0

For Pipes = 0.7 Fig 29.5-1, ASCE 7-10 (smooth pipe)

Wind load Calculated for member with fire proof insulation – X Direction

z, (m)

Member

Member depth

Insulation width

wind expose width “d”

F=qzxGxCf xd, (kN/m) (Per frame)

Direction “X” or “Z”

Elevations in ‘m’

Remarks

5.00

HE450B

0.450

0.025

0.500

3.04

X

105.000

Column

9.50

HE450B

0.450

0.025

0.500

3.32

X

109.500

Column

7.50

HE400B

0.400

0.025

0.450

2.99

X

105.700

Beams

*Fireproof exposed wind area considered upto 9.5m. Above 9m to 20m there is no fire proff so wind loads are applied using staad definition.

Wind load Calculated for member with fire proof insulation – Z Direction

z, (m)

Member

Member depth

Insulation width

wind expose width “d”

F=qzxGxCf xd, (kN/m) (Per frame)

Direction “X” or “Z”

Elevations in ‘m’

Remarks

5.00

HE450B

0.300

0.025

0.350

2.13

Z

105.000

Column

9.50

HE450B

0.300

0.025

0.350

2.32

Z

109.500

Column

5.70

HE160A

0.160

0.000

0.160

1.06

Z

105.700

Beams

5.00

HE240A

0.240

0.025

0.290

1.76

Z

105.000

bracing

9.50

L130X130

0.130

0.025

0.180

1.10

Z

109.500

bracing

Transverse Wind Force due to Pipe:

Ref: Sec. 4.1, ASCE-Report – Wind Loads and Anchor Bolt Design for Petrochemical Facilities

Tributary Area: Af = (D + 10%W) x Bent Spacing (m)

where, D is maximum pipe diameter at respective level

W is useable width of pipe rack

Force on Pipe: F = qzxGxCfxAf

Z

level

(m)

Dia. of Pipe – D, (Incl. Insulation thk.) (m)

Useable Width of PR, (m)

Length, (m)

Af, (m2)

F

(Per frame)

Direction “X” or “Z”

Elevations in ‘m’

Remarks

7.50

0.762

8.0

6.0

9.372

22.17

Z

107.500

30dia inch pipe- SLD

11.50

0.762

8.0

6.0

9.372

24.21

Z

111.500

30dia inch pipe- SLD

15.50

1.219

8.0

6.0

12.115

31.29

Z

115.500

48dia inch pipe- SLD

Transverse Wind Force due to Cable Tray:

Ref: Sec. 4.1, ASCE-Report – Wind Loads and Anchor Bolt Design for Petrochemical Facilities

Tributary Area: Ae = (D + 10%W) x Bent Spacing (m)

where, D is maximum pipe diameter at respective level sss

W is useable width of pipe rack

Force on Pipe: F = qzxGxCfxAf

z, (m)

cable tray height (m)

No of Trays

Usuable Width of PR,(m)

Length, (m)

Af, (m2)

F=qzxGxCfxAe, (kN) (Per frame)

Moment kNm (0.9m ht)

Elevations in ‘m’

20.00

0.150

4.000

3.0

6.0

10.800

86.40

77.76

120.000


Figure 5‑8 Wind load in X – Direction


Figure 5‑9 Wind load in Z – Direction

SEISMIC LOAD (SLX/SLZ/SLY)

  1. Risk Factor = III Table 1.5-1/ASCE-7-10
  2. Importance Factor, I = 1.25 Table 1.5-2/ASCE-7-10
  3. Seismic Design Category = C Table 11.6-1/ASCE-7-10
  4.  
  5. Response modification coefficient, R
  6. Steel ordinary braced frame X-Dir = 3.25 Table C15.5-1/ASCE-7-10
  7. Steel ordinary moment frames Z-Dir = 3.5 Table C15.5-1/ASCE-7-10
  8.  
  9. For initial Staad factor in X Dir I/R 0.38
  10. For initial Staad factor in Z Dir I/R 0.36
  11. The Site Specific Design Response Spectrum shall be considered from Section 6.7 of project document “Design Specification for Loads and Load Combinations”

  12. Figure 5‑10 Seismic load in X/Z/Y – Direction

SERVICIABILITY LOAD COMBINATION

1

D

Ds + Do + Ts

Operating Weight + Sustained Thermal (Sustained Load Case for Deflection or Settlement)

Ds + Do + Ts + Tt

Operating Weight + Sustained Thermal + Temporary Thermal

Ds + Dt + Ts + Tt

Test Weight + Sustained Thermal + Temporary Thermal

2

D+L

Ds + Do + Ts + L

Operating Weight + Sustained Thermal + Live

Ds + Dt + Ts + L

Test Weight + Sustained Thermal + Live

3

D + (Lr or S or R)

N/A

 

4

D + 0.75 L +

0.75 (Lr or S or R)

Ds + Do + Ts + 0.75 Tt + 0.75 L + 0.75 S

Operating Weight + Sustained Thermal + Temporary

Thermal + Live + Snow

Ds + Dt+ Ts + 0.75 Tt +0.75 L + 0.75 S

Test Weight + Sustained Thermal b + Temporary

Thermal + Live + Snow

5

D + (0.6 W or 0.7 E)

Ds + Do + Ts + 0.6 W

Operating Weight + Sustained Thermal + Wind

Ds + Do + Ts + 0.7 Eo

Operating Weight + Sustained Thermal + Earthquake

Ds + Dt + Ts + 0.6 Wp

Test Weight + Sustained Thermal + Partial Wind

6a

D + 0.75 L + 0.75 (0.6 W) + 0.75 (Lr or S or R)

Ds + Do + Ts + 0.75 L + 0.75 (0.6 W) + 0.75 S

Operating Weight + Sustained Thermal + Live + Wind + Snow

Ds + Dt + Ts + 0.75 L +0.75 (0.6 Wp) + 0.75 S

Test Weight + Sustained Thermal + Live + Partial Wind + Snow

6b

D + 0.75 L + 0.75 (0.7 E) +0.75 S

Ds + Do + Ts + 0.75 L + 0.75 (0.7 Eo) + 0.75 S

Operating Weight + Sustained Thermal + Live + Earthquake + Snow

7

0.6 D + 0.6 W

0.6 (Ds + De) + Ts e,f + 0.6 W

Empty Weight + Sustained Thermal + Wind

(Wind Uplift Case)

0.6 (Ds + Do) + Ts + 0.6 W

Operating Weight + Sustained Thermal + Wind

(Sustained Thermal and Wind Uplift Case)

8

0.6 D + 0.6 E

0.6 (Ds + De) + Ts + 0.7 Ee

Empty Weight + Sustained Thermal + Earthquake

(Earthquake Uplift Case)

0.6 (Ds + Do) + Ts + 0.7 Eo

Operating Weight + Sustained Thermal + Earthquake

(Sustained Thermal and Earthquake Uplift Case)

  1.  

STRENGTH LOAD COMBINATION (LRFD)

1

1.4 D

1.4 (Ds + Do) + 1.2 Ts

Operating Weight + Sustained Thermal

1.4 (Ds + Dt) + 1.2 Ts

Test Weight + Sustained Thermal

2

1.2 D + 1.6 L +0.5 (Lr or S or R)

1.2 (Ds + Do) + 1.2 Ts + 1.0 Tt +1.6 L + 0.5 S

Operating Weight + Sustained Thermal + Temporary Thermal + Live + Snow

1.2 (Ds + Dt+ 1.2 Ts+ 1.0 Tt +1.6 L + 0.5 Sd

Test Weight + Sustained Thermal + Temporary Thermal + Live + Snow

3

1.2 D + 1.6 (Lr or S or R) + (L or 0.5 W)

1.2 (Ds + Do) + 1.2 Ts + 1.0 Tt + 1.6 S + 0.5 Le

Operating Weight + Sustained Thermal + Temporary Thermal + Live + Snow

1.2 (Ds + Do) + 1.2 Ts + 1.6 S + 0.5 W

Operating Weight + Sustained Thermal + Snow + Wind

1.2 (Ds + Dt )+ 1.2 Ts + 1.0 Tt +1.6 Sd + 0.5 Le

Test Weight + Sustained Thermal + Temporary

Thermal + Snow + Live

1.2 (Ds + Dt) + 1.2 Ts + 1.6 Sd + 0.5 W

Test Weight + Sustained Thermal + Snow + Wind

4

1.2 D + 1.0 W + L + 0.5 (Lr or S or R)

1.2 (Ds + Do) + 1.2 Ts + 1.0 W + 0.5 Le + 0.5 S

Operating Weight + Sustained Thermal + Wind + Live + Snow

1.2 (Ds + Dt + 1.2 Ts + 1.0 Wp + 0.5 Le + 0.5 Sd

Test Weight + Sustained Thermal + Partial Wind + Live + Snow

5

1.2 D + 1.0 E + L + 0.2 S

1.2 (Ds + Do) + 1.2 Ts + 1.0 Eo + 0.5 Le + 0.2 S

Operating Weight + Sustained Thermal + Earthquake + Live + Snow

6

0.9 D + 1.0 W

0.9 (Ds + De) + 1.2 Ts f,g + 1.0 W

Empty Weight + Sustained Thermal + Wind

(Wind Uplift Case)

0.9 (Ds + Do) + 1.2 Ts g + 1.0 W

Operating Weight + Sustained Thermal + Wind

(Wind Uplift Case)

7

N/A

1.2 (Ds + Do) + 1.2 Ts + 1.2 Tt + 0.5 L + 0.5 S

Operating Weight + Sustained Thermal + Temporary Thermal + Live + Snow

1.2 (Ds + Dt ) + 1.2 Ts + 1.2 Tt + 0.5 L + 0.5 Sd

Test Weight + Sustained Thermal + Temporary

Thermal + Live + Snow

  1.  

RESULTS

BEAM DEFLECTION CHECK

  1. Local deflections of the beams are checked using STAAD software under serviceability load combinations and ensured design is adequate for the limit specified in project document “Design Specification for Steel Structures”
  2. Pipe rack main beams : L/400
  3. Pipe rack secondary beams : L/250
  4. Critical Beam Deflection results:

Member Description

Beam No.

Member Property

LC

UC Ratio

Allowable Ratio

Remarks

Transverse Bm-1

131

HE360A

1009

0.326

1.00

Safe

Transverse Bm-2

132

HE400A

1007

0.301

1.00

Safe

Transverse Bm-3

130

HE450A

1037

0.269

1.00

Safe

COLUMN DEFLECTION CHECK

WIND DRIFT

  1. Horizontal displacement at top of columns due to wind is limited to H/100 where H is the total column height.
  2. Governing Load Case: LC- 1018 (DS+DO+TS2+TTSGU+0.60 WLZ)

  3. Figure 6‑1 Column Drift due to wind along Z Direction
  4. The following table shows the maximum deflection at top of column and relevant ratio:

Elevation Height (m)

Load case

Node

Levels (m)

Drift Height H (m)

Drift Deflection mm

Allowable Deflection mm

Check

20

1018

45

117.5

17.5

104.71

175

SAFE


  1. Table 6‑1 : Horizontal Displacement check due to wind

SEISMIC DRIFT

  1. Allowable seismic drift limits shall be in accordance with ASCE/SEI 7-10 (Sect.12.8.6). Being the structure assigned to Seismic Category C and Occupancy Category IV, the design story drift shall not exceed hsx/200 (where hsx is the story height below level x).

  2. Figure 6‑2 Column Drift due to seismic along Z Direction
  3. Actual Drift
  4. Cdxe / I < hsx/200
  5. Where:
  6. Cd = deflection amplification factor = 3.0 (as per Table 15.4-1) – steel ordinary moment frame;
  7. δxe = calculated deflection;
  8. I = importance factor = 1.25 (as per Table 1.5-2)
  9. Governing Load Case: LC- 1022 (DS+DO+TS2+TTSGU+0.21 SLX+0.70 SLZ+0.21 SLY)

Elevation Height (m)

Load case

Node

Levels (m)

Δ (mm)

Drift Δx (mm)

Actual Drift (mm)

Allowable Deflection (h/200) mm

Check

20

1022

45

120

17.914

2.851

6.8

22.5

SAFE

13.5

39

113.5

15.063

3.26

7.8

20

SAFE

10.5

47

110.5

11.803

3.956

9.5

20

SAFE

7.5

41

107.5

7.847

7.847

18.8

37.5

SAFE


  1. Table 6‑2 : Seismic Storey drift check

UNITY RATIO

  1. Design of the structure is performed using STAAD software and ensured member design adequacy. The utility ratios of the members are presented below.

Strength Case:

     

Member Description

Beam No.

Member Property

LC

UC Ratio

Allowable Ratio

Remarks

Column

116

HE450B

123

0.89

0.90

Safe

Transverse Bm-1

130

HE450A

123

0.88

0.90

Safe

Transverse Bm-2

132

HE400A

124

0.83

0.90

Safe

Long Bm -1

143

HE200A

123

0.55

0.90

Safe

Vert Bracings/ Plan Brace

171

HE240A

121

0.91

0.95

Safe

141

ISA130X130X12 SD

121

0.83

0.90

Safe

178

ISA120X120X12 SD

122

0.80

0.90

Safe

180

ISA90X90X8 SD

134

0.45

0.7

Safe


  1. Table 6‑3 : Maximum utility ratio of the structure – Strength Case

STAAD UNITY STRESS RATIO


  1. Figure 6‑3 Staad Unity Stress picture
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