Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 1 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 1
Storage Tank Piping
(79720-PS-002)
Stress Analysis
Revision History:
Revision Date Released Description of Change
- May 11, 2017 Original release, Issued for Project use
Issued for Project Use
Scott Kaminski
SLAC Accelerator Directorate
Mechanical Engineer LCLS-II
Bill Crahen
JLAB Mechanical Engineering
Mechanical Engineer
Mike Bevins
JLAB Mechanical Engineering
Cryogenics Plant Deputy CAM
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 2 of 25
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Table of Contents
1.0 Introduction ............................................................................................................................................ 3 2.0 Scope ...................................................................................................................................................... 3 3.0 Piping Design Parameters ...................................................................................................................... 6 4.0 Analysis.................................................................................................................................................. 9 5.0 Piping Evaluation ................................................................................................................................. 16 6.0 Flange Evaluation ................................................................................................................................ 21 7.0 Equipment Nozzle Evaluation ............................................................................................................. 22 8.0 Support Evaluation ............................................................................................................................... 23 9.0 Associated Analyses / Documents ....................................................................................................... 23 10.0 Summary / Conclusions ..................................................................................................................... 24 11.0 References .......................................................................................................................................... 24 Appendix A – AutoPIPE Models / Reports ................................................................................................ 25
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 3 of 25
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1.0 Introduction
The purpose of this Engineering Note is to document the analysis that was performed to ensure
the LCLS-II Cryoplant Tank Farm warm helium piping design is suitable for all operating and
occasional loads.
This report discusses the piping scope (Section 2), the piping design parameters (Section 3), the
basis of the analysis that was performed (Section 4), evaluation of the various piping system
components (Sections 5 through 8), associated analyses / documents (Section 9) and the
summary / conclusion (Section 10).
2.0 Scope
The scope of this analysis consists of the clean, dirty and purifier discharge lines from/to the
Warm Helium Gas Storage Tanks through the trench to the North Slab of the Cryoplant
Building. The analysis of the piping continuations on the North Slab is summarized in a separate
document (see Section 9). The scope also includes the helium fill station connected to the dirty
line and the relief valve arrangement on each of the helium storage tanks.
This scope is shown in Figures 1-4 and the drawings listed below.
Drawing
Number Drawing Title
Drawing
Revision
Drawing
Type
79720-0000 LCLSII He Gas Storage System (HGS) C P&ID
79120-0030 LCLSII General Equipment Layout Tank Farm A Layout
79720-0010 LCLSII Storage Warm He Helium Tank
Storage Arrangement A Piping
79720-0011 LCLSII Storage Warm He GHe Dirty Line
Piping Arrangement - Piping
79720-0012 LCLSII Storage Warm He GHe Clean Line
Piping Arrangement - Piping
79720-0013 LCLSII Storage Warm He Purifier Discharge
Line Piping Arrangement - Piping
79720-0017 LCLSII Storage Warm He GHe Dirty Line
Interconnect Spool Assembly - Piping
79720-0019 LCLSII Storage Warm He GHe Dirty Line
Main Header Pipe Spool - Piping
79720-0023 LCLSII Storage Warm He GHe Clean Line
Main Header Pipe Spool - Piping
79720-0024 LCLSII Storage Warm He GHe Clean Line
Interconnect Spool Assembly - Piping
79720-0027 LCLSII Storage Warm He GHe Purifier
Discharge Header Spool Assembly - Piping
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 4 of 25
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79720-0028 LCLSII Storage Warm He GHe Purifier
Discharge Upper Spool Assembly - Piping
79720-0029 LCLSII Storage Warm He Relief Valve Spool
Assembly, GHe Storage Tank - Piping
79720-0031 LCLSII Storage Warm He GHe Dirty Line Pipe
Spool – Thru Trench To Purifier - Piping
79720-0032 LCLSII Storage Warm He GHe Clean Line
Pipe Spool – From Purifier Thru Trench - Piping
79720-0033 LCLSII Storage Warm He GHe Clean Line
Pipe Spool –Thru Trench To Distribution - Piping
79720-0038 LCLSII Storage Warm He Gas Storage Fill
Rack Assembly - Piping
Figure 1: LCLS-II Storage Tank Piping (Looking Southeast to Northwest)
Purifier Discharge Line
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Figure 2: LCLS-II Storage Tank Piping (Looking Northwest to Southeast)
Figure 3: LCLS-II He Tank Relief Arrangement
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
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Figure 4: LCLS-II Fill Rack Arrangement
3.0 Piping Design Parameters
All piping is designed in accordance with ASME B31.3 Process Piping, 2014 Edition [1] and
local requirements. These local requirements include the 2013 California Building Code (CBC)
[2], its reference standard ASCE 7-10 [3], the 2013 California Mechanical Code (CMC) [4] and
the Cryogenic Plant Seismic Design Criteria [5].
The pressure-temperature design parameters for each of the lines are summarized below.
Line
Minimum Design
Metal Temperature
(°F)
Design
Temperature
(°F)
Design
Pressure
(PSIG)
Fill Station 30 120 3,000
Dirty Line 30 120 320
Clean Line 30 120 320
Purifier Discharge Line 30 120 275
Relief Line 30 120 250
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
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The size, material, schedule / rating and other pertinent properties for each piping component is
specified on the design drawings. The general properties for each of the lines are summarized
below.
Line Pipe
Size(s) Pipe Materials
Pipe
Schedule(s)
Flange
Rating
Fill Station 1” ASTM
A312-TP304/304L
Schedule
160 NA
Dirty Line 4” / 2” ASTM
A312-TP304/304L
Schedule
10
Class
300
Clean Line 4” / 2” ASTM
A312-TP304/304L
Schedule
10
Class
300
Purifier Discharge Line 4” / 2” ASTM
A312-TP304/304L
Schedule
10
Class
300
Relief Line 2” ASTM
A312-TP304/304L
Schedule
10
Class
300
The pipes are assumed to be electric fusion welded tubes with a single butt seam (Basic Quality
Factor, Ej, of 0.8 per Table A-1B in B31.3). All other A312 tube fabrication methods with
higher quality factors are therefore acceptable.
In addition to operating conditions, the piping is designed for occasional loads (seismic, wind).
The applied seismic loads and load combinations are determined in accordance with the 2013
CBC and ASCE 7-10.
Per the LCLS-II Cryogenic Building Geotechnical Report [6] and the Cryogenic Plant Seismic
Design Criteria, the site seismic design parameters include Site Class C, SD1 = 1.012 and SDS =
1.968.
The substances used in the LCLS-II Cryoplant and these lines (namely inert cryogenics, gaseous
helium) are not hazardous (highly toxic or explosive / flammable). Thus, per ASCE 7-10 Table
1.5-1 and the Cryogenic Plant Seismic Design Criteria, the Risk Category for the Cryogenic
Building and its associated components is II. Per ASCE 7-10 Table 1.5-2 and the Cryogenic
Plant Seismic Design Criteria, the Seismic Importance Factor for the Cryogenic Building and its
associated components is Ie = 1.0. Per ASCE 7-10 11.6 and the site seismic design parameters
(S1 = 1.168), the Seismic Design Category for the Cryogenic Building and its associated
components is E.
As the piping is a nonstructural component, the seismic design force is determined in accordance
with ASCE 7-10 13.3.1 as demonstrated below. The component amplification factor, ap, is 2.5 in
accordance with ASCE 7-10 Table 13.6-1. Except for rare exceptions the piping joints are
welded. Thus, per the Cryogenic Plant Seismic Design Criteria, the component response
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
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modification factor, Rp, is reduced from 12 to 6. To further improve seismic performance, the
component importance factor, Ip, is taken as 1.5 even though not required by ASCE 7-10 13.1.3.
• 𝐹𝑝 =0.4(𝑎𝑝)𝑆𝐷𝑆
𝑅
𝐼𝑝
(1 + 2𝑧
ℎ) 𝑊𝑝 =
0.4(2.5)1.9686.0
1.5
(1 + 2𝑧
ℎ) 𝑊𝑝 = 0.492 (1 + 2
𝑧
ℎ) 𝑊𝑝 (13.3-1)
• 𝐹𝑝𝑚𝑎𝑥= 1.6 𝑆𝐷𝑆𝐼𝑝 𝑊𝑝 = 1.6(1.968)(1.5)𝑊𝑝 = 4.724 𝑊𝑝 (13.3-2)
• 𝐹𝑝𝑚𝑖𝑛= 0.3 𝑆𝐷𝑆𝐼𝑝 𝑊𝑝 = 0.3(1.968)(1.5)𝑊𝑝 = 0.89 𝑊𝑝 (13.3-3)
• So, 𝐹𝑝 = 0.89 𝑊𝑝 for piping supported at the base (z = 0)
For piping connected higher than 40% of the structural height (z = height of point of attachment,
h = average height of structure), the seismic design force is increased according to equation 13.3-
1. For the rare threaded piping sections / components, the component response modification
factor, Rp, is reduced from 6 to 3 in the spirit of the Cryogenic Plant Seismic Design Criteria.
In this system, most piping is base supported. In accordance with 13.3-1, the seismic force
applied to the Purifier Discharge Line branch connections that run from the header to the tank is
increased by a factor of 1.34 (based on nozzle elevation above tank base), the seismic force
applied to the Clean Line branch connections that run from the header to the tank is increased by
a factor of 1.15 and the seismic force applied to the Fill Station piping is increased by a factor of
1.66 (z/h = 1). Moreover, the seismic force applied to the threaded components within the Fill
Station piping is increased by a factor of 3.22 (i.e. 2.952 Wp). For the relief line z/h = 0.9.
To meet the requirement that the seismic force is applied in the direction that produces the most
critical load effect, 100% of the seismic design force is applied in one horizontal direction and
30% of the seismic design force is applied in an orthogonal direction (ASCE 7-10 12.5.3.1). In
addition, a vertical seismic force of ±0.2 SDS Wp is also simultaneously applied. All directional
combinations are applied (i.e. +100% X, -Y, -30% Z; -30% X, +Y, +100% Z; etc). The design
load combinations / factors in which these forces are applied are discussed in Section 4.
As with the seismic design force, the wind design force is determined in accordance with the
2013 CBC and ASCE 7-10. As discussed / derived previously, the Risk Category for the
Cryogenic Building and its associated components is II. As such, per Figure 26.5-1A in ASCE
7-10, the basic wind speed is 110 miles per hour (mph). In accordance with ASCE 7-10 26.7.2 /
26.7.3, the exposure category for the piping is C (the same as the Cryogenic Building).
The design wind load is determined in accordance with ASCE 7-10 29.5 as demonstrated below.
The gust-effect, G, is 0.85 in accordance with ASCE 7-10 26.9.1. The effect on wind speed from
upstream isolated hills, ridges, etc is considered negligible, so the topographic factor, Kzt, is 1.
As the pipe is round, the wind directionality factor, Kd, is 0.95 in accordance with Table 26.6-1.
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
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As all pipe in this scope is less than 15 feet above the ground, the velocity pressure exposure
coefficient, Kz, is 0.85 in accordance with ASCE 7-10 Table 29.3-1. As D√(qz), see below, is
less than 2.5 for all pipes in this scope, the force coefficient is conservatively taken to be 1.2 (in
accordance with ASCE 7-10 Figure 29.5-1).
• 𝐹 = 𝑞𝑧𝐺𝐶𝑓 (𝑙𝑏/𝑓𝑡2) (29.5-1)
• 𝑞𝑧 = 0.00256 𝐾𝑧𝐾𝑧𝑡𝐾𝑑𝑉2 = 0.00256(0.85)(1)(0.95)(110)2 = 25.1 (29.3-1)
• 𝐹 = (25.1)(0.85)(1.2) = 25.52 (𝑙𝑏/𝑓𝑡2)
• 𝐹𝑚𝑖𝑛 = 16.00 (𝑙𝑏/𝑓𝑡2) (29.8)
• So, 𝐹 = 25.52 (𝑙𝑏/𝑓𝑡2)
To meet the requirement that wind shall be assumed to come from any horizontal direction with
no account for shielding for other structures (CBC 1609.1), the wind is applied in eight
horizontal directions (0°, 45°, 90°, 135°, etc). The wind vertical uplift force is considered
negligible for this piping scope. The design load combinations / factors in which the horizontal
forces are applied are discussed in Section 4.
4.0 Analysis
The piping is analyzed using Bentley AutoPIPE Version 10. The first model created is shown in
in Figures 5 through 7 and the second is shown in Figure 8.
To evaluate piping for the design parameters discussed in Section 3, the models inputs are as
described below.
Pressure –Temperature Cases
Case 1 Case 2 Case 3 Case 4
Pressure Max Max Vacuum Max
Temperature Max Min Install Max
Notes:
1. The install temperature is assumed to be 55 °F (the average expected daytime
temperature in Palo Alto during November through March).
2. As AutoPIPE does not impose pressures below 0 psig, Case 3 is inherently a
gravity check. A separate evaluation is discussed in Section 5.
3. The purpose of Case 4 is to evaluate the system during a pressure relief event
(i.e. apply the relief valve discharge reaction force).
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Tank Nozzles
The nozzles are modeled as pipe, per the fabrication drawings [7], to the shell to
nozzle junction. This junction is modeled as a nozzle flexibility element, to
reflect the flexibility of the junction, followed by a rigid anchor. The loads on the
rigid anchor are compared to the allowable nozzle loads.
Anchor movement due to thermal expansion / contraction of the tank and seismic
/ wind displacement of the tank (as required by ASCE 7-10 15.7.4) is considered.
Negligible anchor movements (less than 1/32”) are not included in the model.
In this scope, the drain / Dirty Line nozzle movement is negligible (due to
proximity to the fixed tank saddle) and the Relief Line nozzle movement is
negligible (piping supported off the tank). The thermal movement of the Clean
and Purifier Discharge nozzles is conservatively calculated as linear thermal
expansion and summarized below.
Clean Line Case 1 Case 2 Case 3 Case 4
X (radial) 0.031 -0.012 0 0.031
Y (vertical) 0.033 -0.013 0 0.033
Z (longitudinal) 0.16 -0.062 0 0.16
Purifier Discharge
Line Case 1 Case 2 Case 3 Case 4
X (radial) 0.031 -0.012 0 0.031
Y (vertical) 0.043 -0.016 0 0.043
Z (longitudinal) 0.16 -0.062 0 0.16
Seismic movement of the Clean / Purifier Discharge nozzles is shown to be
negligible through the hand calculations below. From the tank design calculations
[8], the seismic design force for the carbon steel tanks is known to be 47,900 lbs.
The length (L) from the fixed saddle to the nozzles is 31.5 feet [9]. As the wind
loads are smaller than the seismic loads [8], the wind movement is also negligible.
Axial Displacement
𝛿 =𝑃𝐿
𝐴𝐸 ([9], equation 2.7)
𝛿 =(47,900)(31.5 𝑥 12)
(𝜋(11𝑥12
2)
2−𝜋(
11𝑥12
2−0.8)
2)(29 𝑥 106)
= 0.002"
Lateral / Vertical Displacement
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
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Treat as a 31.5 foot long uniformly loaded beam
𝛿 =𝑊𝐿3
8𝐸𝐼 ([10])
𝛿 =(47,900)(31.5 𝑥 12)3
8𝜋
64((11𝑥12)4−(11𝑥12−2𝑥0.8)4)(29 𝑥 106)
= 0.016"
Relief Valve Reaction Force
The relief valve discharge reaction forces from the valve manufacturer [11] are
applied to Case 4. The reaction force from the Tube Trailer Fill Line relief valve
(RV11029) is 249 lbs upward at the outlet of the elbow. The reaction force from
the Storage Tank relief valves (RV11100A/B, RV11200A/B, etc) is 249*sin(5°)/2
= 11 lbs upward at each outlet of the tee.
Friction
In calculating pipe stresses, nozzle loads and pipe displacements, friction is
conservatively ignored (in line with ASCE 7-10 [3] 15.5.2.1). In calculating
support loads, friction is considered. The steel-to-steel coefficient of friction at
the supports is assumed to be 0.5.
Supports
In accordance with the design, U-bolts are modeled to reflect a loose installation.
In other words, a gap of half the difference between the inner U-bolt dimension
and the pipe outer diameter on both sides and the difference between the inner U-
bolt dimension and the pipe outer diameter above the pipe is included. Oversized
Unistrut pipe straps and Weld Straps are modeled in the same way. Pipe size
Unistrut straps are modeled with no gaps. Like anchors, the supports are modeled
as rigid. The loads on the rigid supports are compared to the allowable support
loads and used as inputs in the separate structural analysis.
Support movement due to seismic / wind displacement. Negligible anchor
movements (less than 1/32”) are not included in the model. As such, the only
anchor movement imposed on the model is a conservative displacement of 0.1” at
the Fill Station filter anchor (see Section 9).
Flanges
Flanges are checked for leak tightness using the conservative equivalent pressure
method. This method, defined in the obsolete Nuclear Piping Code (ASME
B31.7) paragraph 1-704.5(a), is summarized in the equation below (from
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Pressure System Documentation-Calculations
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AutoPIPE) where P is the line pressure, M is the external bending moment, F is
the external axial tension force and G is the gasket reaction diameter.
𝑃𝑇𝑜𝑡𝑎𝑙 = 𝑃 + 𝑃𝑒𝑞
𝑃𝑇𝑜𝑡𝑎𝑙 = 𝑃 + 16𝑀
(𝜋𝐺3)+
4𝐹
𝜋𝐺2
To reduce the conservatism of this approach to a more reasonable level, the total
calculated pressure is compared to 110% of the ASME B16.5-2013 [12] flange
pressure rating for normal design operating conditions and 150% (equal or less
than the flange hydrotest pressure) for occasional operating conditions.
Combinations
The design load combinations are specified in ASME B31.3 and ASCE 7-10
2.3.2. While the pipe is designed using allowable stress design, some support
components (support anchors for example) are designed based on strength design.
As the pipe snow, rain and live loads are zero, the four potential allowable stress
determining load combinations, in accordance with ASCE 7-10 2.4.1 and
12.4.2.3, are below. Note that ρ = 1 per ASCE 7-10 13.3.1 and pressure (P) and
temperature (T, expansion from ambient / install temperature to case temperature)
apply to all load combinations.
5a. (1.0 + 0.14 SDS) D + 0.7ρQE + P + T
5b. (1.0) D + 0.6W + P + T
7. (0.6) D + 0.6W + P + T
8. (0.6 - 0.14 SDS) D + 0.7ρQE + P + T
The five potential strength determining load combinations, in accordance with
ASCE 7-10 2.3.1 and 12.4.2.3, are below. Note that ρ = 1 per ASCE 7-10 13.3.1
and pressure and temperature loads apply to all load combinations.
1. (1.4) D + P + T
4. (1.2) D + 1.0W + P + T
5. (1.2 + 0.2 SDS) D + ρQE + P + T
6. (0.9) D + 1.0W + P + T
7. (0.9 - 0.2 SDS) D + ρQE + P + T
The ASME B31.3 code required combinations are below.
Hoop Pressure
Sustained Gravity + Pressure
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Expansion Minimum to Maximum Temperature
Expansion Ambient / Install Temperature to Case Temperature
Occasional Sustained + Earthquake
Occasional Sustained + Wind
The table below summarizes the load combinations applied to the various pipe
system components. Each load combination is applied in all applicable directions
/ direction combinations. Note that the ASCE load combinations are applied to
pressure-temperature Case 1 (maximum pressure, maximum temperature). The
inclusion of thermal expansion stresses in the ASCE 7-10 occasional loads cases
is significantly more conservative than required by code.
Combination Component Allowable
Limit Reference
Hoop Pipe Stress Ej x S 304.1.2
Sustained Pipe Stress S 302.3.5(c)
Expansion – Max Pipe Stress SA 302.3.5(d)
Expansion – Cases 1-4 Pipe Stress SA 302.3.5(d)
Occasional – Earthquake Pipe Stress 1.33 S 302.3.6
Occasional – Wind Pipe Stress 1.33 S 302.3.6
Gravity + Pressure +
Temperature (Cases 1-4) Flange Pressure 1.1 F See above
ASCE 7-10 – Stress 5a
Pipe Stress 1.33 S 302.3.6
Pipe Displacement NA
Flange Pressure 1.5 F See above
Nozzle Loads Per Fabricator
U-Bolts Per Manufacturer
ASCE 7-10 – Stress 5b
Pipe Stress 1.33 S 302.3.6
Pipe Displacement NA
Flange Pressure 1.5 F See above
Nozzle Loads Per Fabricator
U-Bolts Per Manufacturer
ASCE 7-10 – Stress 7
Pipe Stress 1.33 S 302.3.6
Pipe Displacement NA
Flange Pressure 1.5 F See above
Nozzle Loads Per Fabricator
U-Bolts Per Manufacturer
ASCE 7-10 – Stress 8
Pipe Stress 1.33 S 302.3.6
Pipe Displacement NA
Flange Pressure 1.5 F See above
Nozzle Loads Per Fabricator
U-Bolts Per Manufacturer
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Pressure System Documentation-Calculations
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Note Number: 79720-P0001 R-
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ASCE 7-10 – Strength 1 Pipe Straps Per Manufacturer
Anchors Per Manufacturer
ASCE 7-10 – Strength 4 Pipe Straps Per Manufacturer
Anchors Per Manufacturer
ASCE 7-10 – Strength 5 Pipe Straps Per Manufacturer
Anchors Per Manufacturer
ASCE 7-10 – Strength 6 Pipe Straps Per Manufacturer
Anchors Per Manufacturer
ASCE 7-10 – Strength 7 Pipe Straps Per Manufacturer
Anchors Per Manufacturer
Notes:
1. S = Basic Allowable Stress per Table A-1 in ASME B31.3
2. SA = Allowable Displacement Stress Range per ASME B31.3 302.3.5(d)
equation 1(b)
3. F = Flange Pressure Temperature rating per ASME B16.5
Additional model input parameters include
- The pressure case is the initial state for the temperature case
- The wind directionality factor, Kd, is conservatively taken to be 1.0 (instead of
0.95).
- The allowable displacement stress range is calculated by ASME B31.3
302.3.5(d) equation 1(b).
- The three way diverter valve is modeled as a tee with a concentrated weight
equal to that of the valve.
Figure 5: AutoPIPE Fill Station, Dirty, Clean and Purifier Discharge Model Overview
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 15 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 15
Figure 6: AutoPIPE Fill Station, Dirty, Clean and Purifier Discharge Model Close-Up 1
Figure 7: AutoPIPE Fill Station, Dirty, Clean and Purifier Discharge Model Close-Up 2
Approved: 5/11/2017; E-Sign ID : 342655; signed by: DCG: T. Fuell; Re. 1: B. Crahen; Re. 2: M. Bevins |
Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 16 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 16
Figure 8: AutoPIPE Relief Line Model
5.0 Piping Evaluation
Stress
Stress ratio plots for the two models are provided below in Figures 9 and 10. The
maximum stress ratio for each combination and the node where this stress occurs
is provided in the tables below. As these figures / tables demonstrate, the systems
stresses are below allowable for all load cases / combinations.
Approved: 5/11/2017; E-Sign ID : 342655; signed by: DCG: T. Fuell; Re. 1: B. Crahen; Re. 2: M. Bevins |
Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 17 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 17
Figure 9: AutoPIPE Fill Station, Dirty, Clean and Purifier Discharge Model Stress Plot
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 18 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 18
Figure 10: AutoPIPE Stress Plot Close-Up 1
Figure 11: AutoPIPE Stress Plot Close-Up 2
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 19 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 19
Figure 12: AutoPIPE Relief Line Model Stress Plot
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 20 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 20
Fill Station, Dirty, Clean and Purifier Discharge Model
Combination
Maximum Ratio
( Calculated Stress /
Allowable Stress)
Node Direction
Hoop 0.49 CF09 NA
Sustained 0.38 CF09 NA
Expansion 0.60 F10 Max Range
Occasional 0.97 D03 F-
Seismic
+100% x,
+30% z, +y
ASCE 7-10 – Stress 5a 0.84 F10
Seismic
-30% x,
-100% z, +y
Relief Line Model
Combination
Maximum Ratio
( Calculated Stress /
Allowable Stress)
Node Direction
Hoop 0.25 G02 NA
Sustained 0.16 B09 NA
Expansion 0.12 B01 NA
Occasional 0.53 A01
Seismic
-30% x,
-100% z, +y
ASCE 7-10 – Stress 5a 0.24 A01
Seismic
-30% x,
-100% z, +y
Displacement
The maximum displacement and the node where this movement occurs is
provided in the tables below. The system displacements are reasonable for all
load cases / combinations.
Fill Station, Dirty, Clean and Purifier
Discharge Model
Maximum Displacement Node
1.64” D36
Relief Line Model
Maximum Displacement Node
0.17” E02 / F02
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 21 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 21
Vacuum
The pipe is capable of full vacuum as described below. Per 304.1.3 of ASME
B31.3, the wall thickness for external pressure shall be determined in accordance
with UG-28 through UG-30 of the ASME BPVC Section VIII, Division 1 [13].
Following these sections, the greatest length to diameter ratio (50) in ASME
BPVC Section II [14] Figure G is selected. The greatest diameter to thickness
ratio for this scope is associated with 4” schedule 10 pipe (4.5 / .120 *.875).
Conservatively from this D0/t ratio, a Factor A of .0004 is obtained from Figure
G. From Figure HA-1, a temperature of 100 °F and this Factor A, a Factor B of
5,500 is obtained. From Step 6 in UG-28, a maximum external pressure
significantly greater than full vacuum is calculated.
𝑃𝑒𝑥𝑡 =4 𝐵
3 (𝐷0
𝑡 )
𝑃𝑒𝑥𝑡 =4 (5,500)
3 (43)= 171 𝑝𝑠𝑖
Confirmation of the pipe vacuum rating is provided by the Engineering Toolbox
[15] and the Welded Steel Pipe Design Manual [16].
Components
The pressure-temperature ratings for all components exceed the requirements of
the four pressure-temperature cases. Please reference the component list
indicated in Section 9.
6.0 Flange Evaluation
The maximum flange ratio (total pressure / 1.1 or 1.5 flange rating) and the combination / flange
where this pressure occurs is provided in the tables below. As these figures / tables demonstrate,
the total pressures are within defined flange ratings (1.1 or 1.5 flange rating) for all load cases /
combinations.
Fill Station, Dirty, Clean and Purifier Discharge Model
Combination Maximum Total Pressure /
1.1 or 1.5 Flange Rating Node Direction
Gravity + Pressure +
Temperature (Cases 1-4) 0.62 AT12 NA
ASCE 7-10 – Stress 5a / 8 0.79 AT12
Seismic
+100% x,
+30% z, -y
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 22 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 22
Relief Line Model
Combination Maximum Total Pressure /
1.1 or 1.5 Flange Rating Node Direction
Gravity + Pressure +
Temperature (Cases 1-4) 0.87 B06 NA
ASCE 7-10 – Stress 5b / 7 0.78 A06
Seismic
-100% x,
-30% z, -y
7.0 Equipment Nozzle Evaluation
The maximum loads on each equipment nozzle are provided in the table below and compared to
the allowable nozzle loads. As these tables demonstrate, the nozzles loads are less than the
allowable nozzle loads for all load cases / combinations.
He Gas Storage Tanks
Nozzle Maximum Loads Allowable Loads Tank
Clean Line
Radial: 78 lbs
Long Shear: 57 lbs
Circ Shear: 41 lbs
Long Moment: 200 ft-lbs
Circ Moment: 89 ft-lbs
Torsion: 37 ft-lbs
Radial: 1,000 lbs
Long Shear: 1,000 lbs
Circ Shear: 1,000 lbs
Long Moment: 500 ft-lbs
Circ Moment: 500 ft-lbs
Torsion: 500 ft-lbs
116
111
111
116
116
111
Purifier
Discharge Line
Radial: 62 lbs
Long Shear: 62 lbs
Circ Shear: 46 lbs
Long Moment: 171 ft-lbs
Circ Moment: 49 ft-lbs
Torsion: 26 ft-lbs
Radial: 1,000 lbs
Long Shear: 1,000 lbs
Circ Shear: 1,000 lbs
Long Moment: 500 ft-lbs
Circ Moment: 500 ft-lbs
Torsion: 500 ft-lbs
111
111
115
116
111
111
Dirty Line
Radial: 283 lbs
Long Shear: 305 lbs
Circ Shear: 283 lbs
Long Moment: 313 ft-lbs
Circ Moment: 245 ft-lbs
Torsion: 446 ft-lbs
Radial: 1,000 lbs
Long Shear: 1,000 lbs
Circ Shear: 1,000 lbs
Long Moment: 500 ft-lbs
Circ Moment: 500 ft-lbs
Torsion: 500 ft-lbs
111
111
111
111
111
111
Relief Line
Radial: 180 lbs
Long Shear: 640 lbs
Circ Shear: 423 lbs
Long Moment: 288 ft-lbs
Circ Moment: 309 ft-lbs
Torsion: 330 ft-lbs
Radial: 1,000 lbs
Long Shear: 1,000 lbs
Circ Shear: 1,000 lbs
Long Moment: 500 ft-lbs
Circ Moment: 500 ft-lbs
Torsion: 500 ft-lbs
NA
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Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 23 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 23
8.0 Support Evaluation
The maximum loads on each support type are provided in the tables below and compared to the
allowable support loads. As these tables demonstrate, the support loads are less than the
allowable loads for all load cases / combinations.
In this application the pipe does not contact the oversized Unistrut pipe straps / U-bolts, so an
impact factor is not applicable (ASME B31E 3.7.4).
Fill Station, Dirty, Clean and Purifier Discharge Model
Support
Type Maximum Loads Allowable Loads
Node
4” Pipe
Strap
Axial: 192 lbs
Lateral: 584 lbs
Vertical: 631 lbs
Axial: 200 lbs [17]
Lateral: 1,000 lbs [17]
Vertical: 1,000 lbs [17]
D01
C01
C01
4” U-Bolt
/ Weld
Strap
Lateral: 173 lbs
Vertical: 866 lbs
Lateral: 675 lbs [18]
Vertical: 2,700 lbs [18]
BK04
BK04
2” U-Bolt Lateral: 268 lbs
Vertical: 289 lbs
Lateral: 365 lbs [18]
Vertical: 1,460 lbs [18] Relief
1-1/4”
U-Bolt
Lateral: 215 lbs
Vertical: 231 lbs
Lateral: 365 lbs [18]
Vertical: 1,460 lbs [18]
CH02F
CF15
3/4”
U-Bolt
Lateral: 121 lbs
Vertical: 20 lbs
Lateral: 145 lbs [18]
Vertical: 580 lbs [18] CH06
Filter
Anchor
Fx: 200 lbs
Fy: 450 lbs
Fz: 150 lbs
Mx: 120 ft-lbs
My: 70 ft-lbs
Mz: 40 ft-lbs
See below CF33
The filter anchor loads are judged acceptable through the Fill Station Structural Analysis (79720-
A0001).
9.0 Associated Analyses / Documents
Structural analyses, pipe stress reports and pressure system documentation related to this report
are listed below.
79120-P0006 CP1/CP2 Helium Recovery, Etc Piping (79120-PS-
111, 211) Stress Analysis
79720-A0001 Fill Station Structural Analysis
Approved: 5/11/2017; E-Sign ID : 342655; signed by: DCG: T. Fuell; Re. 1: B. Crahen; Re. 2: M. Bevins |
Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 24 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 24
79720-A0002 Tank Farm Helium Pipe Support Structural-Anchor
Analysis
79120-P7001 Cryoplant Component List
79120-P9001 Cryoplant Pressure System Forms
10.0 Summary / Conclusions
The pipe stresses are below allowable for all normal and occasional design conditions. The pipe
displacements are reasonable for all normal and occasional design conditions. The pipe flanges
are leak tight for all normal and occasional design conditions. The tank nozzle loads are below
allowable nozzle loads for all normal and occasional design conditions. The support loads are
below manufacturer allowable loads for all normal and occasional design conditions. Thus, the
pipe system design is acceptable.
11.0 References
[1] Process Piping, ASME B31.3-2014
[2] California Building Code, 2013
[3] Minimum Design Loads for Buildings and Other Structures. ASCE/SEI 7-10, 2010
[4] California Mechanical Code, 2013
[5] Cryogenic Plant Seismic Design Criteria, LCLSII-4.8-EN-0227-R2
[6] Final Report Geotechnical Investigation LCLS II Cryogenic Building and Infrastructure
SLAC National Accelerator Laboratory, Rutherford+Chekene #2014-106G
[7] Horizontal Helium Gas Storage Tank, Modern Custom Fabrication 1604441-1-2
[8] Structural Calculations for 30,000 Gallon Helium Gas Storage Tanks, John F Bradley Job
2701300
[9] Mechanics of Materials, Beer, Johnston Jr and DeWolf – 3rd
Ed
[10] http://engineersedge.com/beam_bending/beam_bending8.htm
[11] RE: Flow Safe F84, F7350 Thrust Values, 3/14/17 email from Flow Safe (on file at JLab)
[12] Pipe Flanges and Flanged Fittings, ASME B16.5-2013
[13] Rules for Construction of Pressure Vessels, ASME BPVC Section VIII, Division 1-2015
[14] Materials, ASME BPVC Section IID-2015
[15] http://www.engineeringtoolbox.com/stainless-steel-pipes-bursting-pressures-d_463.html
[16] Welded Steel Pipe Design Manual, American Iron and Steel Institute- 2007 Edition, p. 17
[17] P2558 Pipe Strap Design Load Report, Unistrut International – July 24, 2006
[18] Pipe Hangers and Supports, Anvil International – July 16, 2009 Approved: 5/11/2017; E-Sign ID : 342655; signed by: DCG: T. Fuell; Re. 1: B. Crahen; Re. 2: M. Bevins |
Pressure System Documentation-Calculations
Title: Storage Tank Piping (79720-PS-002) Stress Analysis
Note Number: 79720-P0001 R-
Author(s): Scott Kaminski Page 25 of 25
Pressure System Documentation - Storage Tank Piping Stress Analysis Page 25
Appendix A – AutoPIPE Models / Reports
The model and output files listed below are on file at JLab and can be provided upon request.
FILE TYPE FILE NAME
AutoPIPE Model Tank Farm Final (4-24-17).dat
AutoPIPE Output Report Tank Farm Final (4-24-17) Seismic 1-4.xps
AutoPIPE Output Report Tank Farm Final (4-24-17) Seismic 5-8.xps
AutoPIPE Output Report Tank Farm Final (4-24-17) Seismic 9-12.xps
AutoPIPE Output Report Tank Farm Final (4-24-17) Seismic 13-16.xps
AutoPIPE Flange Report Tank Farm Final (4-24-17) Flange 1-4.xps
AutoPIPE Flange Report Tank Farm Final (4-24-17) Flange 5-8.xps
AutoPIPE Flange Report Tank Farm Final (4-24-17) Flange 9-12.xps
AutoPIPE Flange Report Tank Farm Final (4-24-17) Flange 13-16.xps
AutoPIPE Results Database Tank Farm Final (4-24-17) Seismic 1-4.mdb
AutoPIPE Results Database Tank Farm Final (4-24-17) Seismic 5-8.mdb
AutoPIPE Results Database Tank Farm Final (4-24-17) Seismic 9-12.mdb
AutoPIPE Results Database Tank Farm Final (4-24-17) Seismic 13-16.mdb
AutoPIPE Model Relief Final (4-24-17).dat
AutoPIPE Output Report Relief Final (4-24-17) Seismic 1-4.xps
AutoPIPE Output Report Relief Final (4-24-17) Seismic 5-8.xps
AutoPIPE Output Report Relief Final (4-24-17) Seismic 9-12.xps
AutoPIPE Output Report Relief Final (4-24-17) Seismic 13-16.xps
AutoPIPE Flange Report Relief Final (4-24-17) Flange 1-4.xps
AutoPIPE Flange Report Relief Final (4-24-17) Flange 5-8.xps
AutoPIPE Flange Report Relief Final (4-24-17) Flange 9-12.xps
AutoPIPE Flange Report Relief Final (4-24-17) Flange 13-16.xps
AutoPIPE Results Database Relief Final (4-24-17) Seismic 1-4.mdb
AutoPIPE Results Database Relief Final (4-24-17) Seismic 5-8.mdb
AutoPIPE Results Database Relief Final (4-24-17) Seismic 9-12.mdb
AutoPIPE Results Database Relief Final (4-24-17) Seismic 13-16.mdb
These files are located in the folder path indicated below. M:\cryo\LCLS II ANALYSIS FOLDER\Tank Farm Helium Piping\PRESSURE SYSTEMS
Approved: 5/11/2017; E-Sign ID : 342655; signed by: DCG: T. Fuell; Re. 1: B. Crahen; Re. 2: M. Bevins |
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