hp oil coalescer anchor-shear key calculations...2017/06/01  · the anchor chair / baseplate bolt...

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CSA Documentation-Calculations Title: HP Oil Coalescer Anchor-Shear Key Calculations Note Number: 79120-A0001 Author(s): Scott Kaminski Page 1 of 22 CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 1 HP Oil Coalescer Anchor-Shear Key Calculations 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 Chase Dubbe JLAB Mechanical Engineering Mechanical Design Engineer Mike Bevins JLAB Mechanical Engineering Cryogenics Plant Deputy CAM Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

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Page 1: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 1 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 1

HP Oil Coalescer

Anchor-Shear Key Calculations

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

Chase Dubbe

JLAB Mechanical Engineering

Mechanical Design Engineer

Mike Bevins

JLAB Mechanical Engineering

Cryogenics Plant Deputy CAM

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 2: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 2 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 2

Table of Contents

1.0 Introduction ............................................................................................................................................ 3 2.0 Anchor and Shear Key Design ............................................................................................................... 4 3.0 Design Basis........................................................................................................................................... 6 4.0 Anchor Bolt Summary ........................................................................................................................... 9 5.0 Shear Key Concrete Bearing ................................................................................................................ 10 6.0 Shear Key Pipe ..................................................................................................................................... 11 7.0 Pipe to Cover Plate Attachment Weld ................................................................................................. 13 8.0 Cover Plate to Baseplate Attachment Weld ......................................................................................... 15 9.0 Anchor Chair Top Plate ....................................................................................................................... 16 10.0 Anchor Chair Stiffeners ..................................................................................................................... 17 11.0 Anchor Chair Welds .......................................................................................................................... 18 12.0 Baseplate ............................................................................................................................................ 19 13.0 Associated Analyses / Documents ..................................................................................................... 20 14.0 Summary / Conclusions ..................................................................................................................... 20 15.0 References .......................................................................................................................................... 21 Appendix A – PROFIS Design Reports ...................................................................................................... 22

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 3: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 3 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 3

1.0 Introduction

The purpose of this Engineering Note is to document the analysis that was performed to ensure

the anchor and shear key design for the LCLS-II Cryoplant High Pressure Oil Coalescer (HP) is

suitable for the maximum overturning moment and design shear force. Figure 1 provides a

graphical representation of the HP.

Separate vessel design calculations [1] from the fabricator (Eden Cryogenics) verify that the legs

are suitable for the seismic acceleration forces and the HP itself is suitable for all normal

operating conditions as well as the occasional seismic loads.

This report discusses the anchor and shear key design (Section 2), the basis of the analysis that

was performed (Section 3), the design calculations (Sections 4 through 12), associated analyses /

documents (Section 13) and the summary / conclusion (Section 14).

Figure 1: LCLS-II HP Oil Coalescer (HP)

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 4: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 4 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 4

2.0 Anchor and Shear Key Design

The baseplate, anchor and shear key design for the HP is reflected in Figures 2 through 4.

Namely, a 1.5” thick square baseplate with a center cutout. The baseplate outer side dimension

is 36” and the inner side dimension is 18”.

The anchor design consists of four 1” F1554 Grade 36 anchors located at the four corners of a

24” square (one at each leg). These anchors have an effective embedment depth of 18” and are

installed using the Hilti HIT-RE 500 V3 adhesive anchoring system. The anchors are attached to

the HP through anchors chairs with a top face 8” above the baseplate top face (to provide a gauge

/ stretch length of more than eight diameters). The anchor chair / baseplate bolt holes are

oversized (1 1/2”) to ensure no shear is applied to the anchor bolts and a washer is used to

transfer the vertical load from the anchor bolts to the anchor chairs. Double nuts are used to

place / keep the anchor bolts in tension. The anchor chair SA-36 top plate is 2.0” thick with two

SA-36 3/8” stiffeners spaced 4” apart (face to face). The anchor chair components are attached

to each other and the leg through 3/8” fillet welds.

The shear key design consists of four 4” XS/SCH 80 A106 Grade B pipes at the center of each

side of the square. The pipes are 7.5” long, such that they extend 4” into the concrete slab,

include two 1.5” diameter holes to facilitate the flow of grout to the inside of the pipe and are

centered on a 6” x 1” thick diameter cover plate that is used to attach the shear key to the

baseplate. The 1.5” holes are oriented parallel to the baseplate. The shear keys are attached to

the cover plates by a full penetration groove weld and a 1/8” fillet weld. The shear keys are

attached to the baseplates by a 1/2” fillet weld between the shear key cover plate and the

baseplate.

Figure 2: HP Anchor Bolt and Shear Key Arrangement

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 5: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 5 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 5

Figure 3: HP Shear Key Design

Figure 4: Shear Key in Concrete Section View

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 6: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 6 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 6

3.0 Design Basis

The applied seismic loads and load combinations are specified in the 2013 California Building

Code (CBC) [2] and its reference standard ASCE 7-10 [3].

Per the LCLS-II Cryogenic Building Geotechnical Report [4] and the Cryogenic Plant Seismic

Design Criteria [5], 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 the HP (namely inert cryogenics, gaseous

helium and non-flammable oil) 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 HP is a self-supporting structure that carries gravity loads and is required to resist the

effects of an earthquake, it is classified as a non-building structure in ASCE 7-10. The HP is

considered an elevated vessel on unbraced legs in accordance with ASCE 7-10 Table 15.4-2. To

further improve seismic performance, the importance factor, Ie, is taken as 1.5 for design of the

HP even though not required by ASCE 7-10 15.4.1.1.

The seismic base shear applied to the HP anchors and shear keys is determined in accordance

with ASCE 7-10 12.8 and 15.4.1 as demonstrated below.

• 𝑉 =𝑆𝐷𝑆

𝑅

𝐼𝑒

𝑊 =1.968

2.0

1.5

𝑊 = 1.476 𝑊 (12.8-1, 2)

• 𝑉𝑚𝑎𝑥 =𝑆𝐷𝑆

𝑇𝑅

𝐼𝑒

𝑊 =1.968

0.062 2.0

1.5

𝑊 = 23.81 𝑊 (12.8-3)

• where 𝑇 = 0.062 𝑠𝑒𝑐𝑜𝑛𝑑𝑠 [1]

• 𝑉𝑚𝑖𝑛 = 0.044 𝑆𝐷𝑆𝐼𝑒 𝑊 = .044(1.968)(1.5)𝑊 = .130 𝑊 (15.4-1)

• 𝑉𝑚𝑖𝑛 = 0.8 𝑆1/(𝑅/𝐼𝑒) 𝑊 = 0.8 (1.168)

2.0

1.5

𝑊 = .701 𝑊 (15.4-2)

• So, 𝑉 = 1.476 𝑊

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 7: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 7 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 7

Per the fabricator vessel design calculations, the operating weight is 4,875 lbs [1], including a

maximum operating liquid weight of ~500 lbs, and the operating center of gravity is 94” [1]

above the bottom of the baseplate.

The anchors and shear keys are designed for the seismic shear force that results from the

maximum shear acceleration in one horizontal direction and 30% of the maximum seismic

acceleration in an orthogonal direction (ASCE 7-10 12.5.3.1). In this way, the seismic shear

force is

Shear = 7,520 lbs

and the HP overturning moments are

Mx = 676,400 in-lbs

My = 203,000 in-lbs

The design load combinations are specified in ASCE 7-10 2.3.2. As the vessels are inside, there

are no wind loads. Thus, for the HP the two potential determining load combinations are, in

accordance with ASCE 7-10 12.4.2.3,

5. (1.2 + 0.2 SDS) D + ρQE + L + 0.2S

7. (0.9 - 0.2 SDS) D + ρQE

The snow load, S, is zero for the HP and ρ = 1 per ASCE 7-10 15.6.

As the seismic loads on the vessel itself are not exorbitant, pipe loads on the vessel nozzles are

potentially significant. To conservatively account for inlet and outlet nozzle loads (reference

Section 13), 3,700 lbs is applied at the top of the vessel in the direction of maximum seismic

acceleration and 60% of this force is applied at the top of the vessel in the orthogonal direction.

In other words,

Pipe Load Shear = 4,400 lbs

MPx = 696,100 in-lbs

MPy = 417,700 in-lbs

The combination of anchor bolts and shear keys separates the shear and tension resistance

mechanisms; the shear forces are solely resisted by the shear keys and the overturning moments

(tensile loads) are solely resisted by the anchor bolts. As the tensile load on the anchors will be

greater when there is less weight to resist overturning, load combination 7 is the design

combination for the anchors.

Per the requirement in ASCE 7-10 15.7.5 that the anchor embedment in concrete develop the

steel strength of the anchor in tension, Option (a) in D.3.3.4.3 of ACI 318-11 is required. As

such, an overstrength factor is unnecessary and the HP anchor design forces / moments are

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 8: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 8 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 8

Vertical = -2,400 lbs

ρQE (Mx) = 1,372,500 in-lbs

ρQE (My) = 620,700 in-lbs

The anchor bolts are suitable if the nominal bond and concrete breakout utilizations are less than

120% of the nominal steel utilization (the anchor embedment develops the steel strength of the

anchor in tension) and the applied loads do not exceed the reduced steel, bond and concrete

breakout strengths (Section 4).

The shear key embedment is in accordance with ACI 318-2011 [6] and, because this standard

does not address shear keys, ACI 349-13 [7]. The shear force that can be applied to shear keys is

limited by a ductile yield mechanism (i.e. yielding of the anchor bolts). As the effective vessel

weight increases, a greater moment is required to yield the anchor bolts. Thus, load combination

5 is the design combination for the shear keys.

That being said, the shear keys are designed using option (c). This option is used because the

shear force required to yield the anchor bolts in load combination 5 results in an excessively

conservative shear key design. As the torsional moments and shear components of the dead /

live loads are inconsequential, the design load for the shear keys is solely the seismic shear force.

As such, including the required overstrength factor of 2 (per ASCE 7-10 Table 15.4-2), the shear

key design force is

V = 23,900 lbs

To ensure the shear keys are suitable for the HP design shear force,

- The resistance from friction to the applied seismic force is conservatively assumed to

be negligible (as required by ACI 349-13 D.4.6.1).

- The resistance to the applied seismic force due to confinement provided by the anchor

bolts in tension (see ACI 349-13 D.4.6.1 and D.11) is conservatively assumed to be

negligible

- The resistance to the applied seismic force is conservatively assumed to be resisted by

at least 2 of the 4 shear keys

Additional parameters used in analyzing the shear keys include

- The shear lug separation (19”) is sufficient for the shear lugs to be analyzed as single

lugs

- As the shear stiffness of each lug is the same, the magnitude of shear applied to each

lug is equivalent (ACI 349-13 D.11).

- The distance to the nearest edge (in excess of 25 feet) is such that shear concrete

breakout is not a concern

- The grout compressive strength exceeds the concrete compressive strength

- The ASCE 7-10 load combinations are analogous to the ACI 349-13 9.2 load

combinations

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 9: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 9 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 9

- A shear key is suitable for the HP design shear force if the bearing strength of the

concrete exceeds the applied bearing load, the reaction shear load does not yield the

shear key in shear, the resulting moment does not yield the shear key in bending and

the attachment welds are sufficient for the shear / moment applied at the shear key-

baseplate connection (Sections 5 through 8)

4.0 Anchor Bolt Summary

As the anchors are installed using the Hilti HIT-RE 500 V3 adhesive anchoring system, the Hilti

design program PROFIS is utilized to determine if the anchors are suitable. To this end, the

anchor design is validated through the process below.

1. A design report is generated that accurately reflects the intended post-installed anchor

arrangement and design conditions with the exception that B7 bolts are used. Since

the steel strength does not govern, PROFIS will report the utilizations based on

nominal strength.

2. The steel utilization with a steel ultimate tensile load of 58 ksi instead of 125 ksi is

calculated by hand. This utilization is confirmed to be higher than the bond and

concrete breakout utilizations.

3. A design report is generated that accurately reflects the intended post-installed anchor

arrangement and design conditions with the exception that B7 bolts are used and

option D3.3.4.3(b) is selected. This report accurately reflects the reduced concrete

breakout utilization.

4. A design report is generated that accurately reflects the intended post-installed anchor

arrangement and design conditions with the exception that the ASTM F1554 Grade

36 anchors are cast-in-place instead of post installed. This report accurately reflects

the reduced tensile steel utilization.

5. All utilizations are confirmed less than 100.

This process is used because ASTM F1554 Grade 36 anchor rods are not an option in PROFIS

for Post-Installed anchors. However, in accordance with Section 3.2.5.1 of ESR-3814 (Issued

1/2016) for Hilti HIT-RE 500 V3 Adhesive Anchors [8], as well as confirmation from Hilti, the

grade of threaded rod is not limited to ASTM A193 B7, ISO 898 Class 5.8 and ISO 898 Class

8.8.

Additional parameters used in this PROFIS analysis include

- As described in Section 2, the required gauge / stretch length is provided through the

anchor chair design. This stretch length does not appear in the Hilti reports because

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 10: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 10 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 10

the Stand-Off with Grout option (2” Grout thickness) most accurately represents the

tension load bolt distribution with a baseplate-anchor chair design.

- The distance to the nearest edge (in excess of 25 feet) is such that edge effects are not

a concern

- The HP projected concrete failure area does not overlap projected concrete failure

areas from adjacent equipment (more than 2” of separation between the Compressor

skid and HP projected areas).

- Concrete Strength of 4,000 PSI per Revision A0 of S-001 (ID-905-300-00) in HDR

IFC Cryoplant Building drawings [9].

- Edge Reinforcement with ≥ no. 4 bar in accordance with Revision A0 of S-101 (ID-

905-300-05) in HDR IFC Cryoplant Building drawings (no. 6 bar used).

- Normal weight concrete per Section 03 30 00 of LCLS-II Cryogenic Building and

Infrastructure Project IFC Project Manual [10].

- The grout compressive strength exceeds the concrete compressive strength.

- Seismic strength design according to ACI 318-11 is selected.

- Cracked concrete is selected in accordance with ACI 318-11 D3.3.4.4.

- Hammer drilled dry concrete installation conditions are assumed.

The results of this process are summarized in the table below. The various Hilti reports are listed

in Appendix A.

120% Nominal Steel Strength

Nominal Bond Strength

Nominal Concrete Breakout Strength

Tension Utilizations

59.9% 38.3% 43.7%

Reduced Strength

Steel Reduced

Strength Bond Reduced Strength Concrete Breakout

Tension Utilizations

95.9% 78.4% 89.6%

As the nominal bond and concrete breakout strength utilizations are less than 120% of the

nominal steel utilization and the reduced utilizations are less than 100%, this anchor design is

suitable.

5.0 Shear Key Concrete Bearing

Three aspects of the shear keys are analyzed. First, it is determined if the bearing strength of the

concrete exceeds the bearing load applied by the shear keys.

Per ACI 349-13 RD11.1, the shear key “bearing area should be limited to the contact area below

the plane defined by the concrete surface.” Per ACI 349-13 D.4.6.2, the concrete design bearing

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 11: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 11 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 11

strength is 1.3 times the concrete compressive strength modified by the strength reduction factor

(1.3 φ fc’).

The concrete bearing strength is compared to the bearing load, where the Concrete Compressive

Strength is 4,000 PSI per Revision A0 of S-001 (ID-905-300-00) in HDR IFC Cryoplant

Building drawings [9].

• 𝜎𝐷𝐶 = 𝐷𝑒𝑠𝑖𝑔𝑛 𝐶𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝐵𝑒𝑎𝑟𝑖𝑛𝑔 𝑆𝑡𝑟𝑒𝑛𝑔𝑡ℎ

• 𝜎𝑆𝐶 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝐶𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝐵𝑒𝑎𝑟𝑖𝑛𝑔 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝐴𝑆 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝐵𝑒𝑎𝑟𝑖𝑛𝑔 𝐴𝑟𝑒𝑎

• 𝐷𝑆𝑂 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑂𝑢𝑡𝑒𝑟 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟 = 4.500"

• 𝐻 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝐺𝑟𝑜𝑢𝑡 𝐻𝑜𝑙𝑒 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟 = 1.5"

• 𝐿𝑆 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝐿𝑒𝑛𝑔𝑡ℎ 𝐵𝑒𝑙𝑜𝑤 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 = 6"

• 𝐺 = 𝐺𝑟𝑜𝑢𝑡 𝐻𝑒𝑖𝑔ℎ𝑡 = 2"

• 𝐴𝑆 = 𝐷𝑆𝑂(𝐿𝑆 − 𝐺) − 𝜋(

𝐻

2)

2

2= 4.5 (6 − 2) −

𝜋(1.5

2)

2

2

• 𝐴𝑆 = 17.11 𝑖𝑛2

• φ = 𝑆𝑡𝑟𝑒𝑔𝑛𝑡ℎ 𝑅𝑒𝑑𝑢𝑐𝑡𝑖𝑜𝑛 𝐹𝑎𝑐𝑡𝑜𝑟 = 0.65 (D.4.4, RD.4.6.2)

• 𝑓𝑐′ = 𝐶𝑜𝑛𝑐𝑟𝑒𝑡𝑒 𝐶𝑜𝑚𝑝𝑟𝑒𝑠𝑠𝑖𝑣𝑒 𝑆𝑡𝑟𝑒𝑛𝑔𝑡ℎ = 4,000 𝑝𝑠𝑖

• 𝜎𝐷𝐶 > 𝜎𝑆𝐶

• 1.3φ𝑓𝑐′ >

(𝑉/2)

𝐴𝑆

• 1.3 (0.65)4,000 >(23,900/2)

17.11

• 𝟑, 𝟑𝟖𝟎 𝒑𝒔𝒊 > 𝟔𝟗𝟗 𝒑𝒔𝒊

Thus, the design concrete bearing strength exceeds the bearing load applied by the shear keys.

6.0 Shear Key Pipe

Second, it is determined if the reaction load yields the shear keys in either shear or bending.

Combined shear and bending need not be considered as maximum shear and bending occur 90°

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 12: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 12 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 12

apart. This evaluation is in accordance with ACI 349-13 D.10 and the requirement that the

design strength of shear lugs shall be based on the specified yield strength instead of the

specified tensile strength.

The maximum shear stress in the pipe is compared to the design shear stress. The shear stress

varies around the circumference of the pipe in accordance with the sine of the angle from the

direction of force, (V sinθ)/(π Rm T) [11]. As such, the maximum stress occurs 90° from the

direction of force. As the holes in the two shear keys assumed to resist the load are not oriented

at the point of maximum stress they are not included in the calculation.

• 𝜎𝐷𝑆 = 𝐷𝑒𝑠𝑖𝑔𝑛 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑆ℎ𝑒𝑎𝑟 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝜎𝑆𝑆 = 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑆ℎ𝑒𝑎𝑟 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝑅𝑚 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑀𝑒𝑑𝑖𝑎𝑛 𝑅𝑎𝑑𝑖𝑢𝑠 = (𝐷𝑆𝑂 − 𝑇)/2

• 𝐷𝑆𝑂 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑂𝑢𝑡𝑒𝑟 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟 = 4.500"

• 𝑇 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑊𝑎𝑙𝑙 𝑇ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠 = 0.337”

• 𝐹𝑌 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑀𝑖𝑛 𝑌𝑖𝑒𝑙𝑑 𝑆𝑡𝑟𝑒𝑛𝑔𝑡ℎ = 35,000 𝑝𝑠𝑖

• φ = 𝑆𝑡𝑟𝑒𝑔𝑛𝑡ℎ 𝑅𝑒𝑑𝑢𝑐𝑡𝑖𝑜𝑛 𝐹𝑎𝑐𝑡𝑜𝑟 = 0.55 (D.4.4, RD.10)

• 𝜎𝐷𝑆 > 𝜎𝑆𝑆

• φ𝐹𝑌 >(𝑉/2) sin(90°)

𝜋𝑅𝑚𝑇

• (0.55)35,000 >(23,900/2)(1)

𝜋((4.500−0.337)/2)0.337

• 𝟏𝟗, 𝟐𝟓𝟎 𝒑𝒔𝒊 > 𝟓, 𝟒𝟐𝟑 𝒑𝒔𝒊

The maximum bending stress in the pipe is compared to the design bending stress. The

maximum stress occurs in line with the direction of force at the connection to the cover plate. As

the holes in the two shear keys assumed to resist the load are away from the point of maximum

stress (in elevation), they are not included in the calculation.

• 𝜎𝐷𝐵 = 𝐷𝑒𝑠𝑖𝑔𝑛 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝐵𝑒𝑛𝑑𝑖𝑛𝑔 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝜎𝑆𝐵 = 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝐵𝑒𝑛𝑑𝑖𝑛𝑔 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝑆𝑆 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 𝑀𝑜𝑑𝑢𝑙𝑢𝑠

• 𝐷𝑆𝑂 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑂𝑢𝑡𝑒𝑟 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟 = 4.500"

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 13: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 13 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 13

• 𝑇 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑊𝑎𝑙𝑙 𝑇ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠 = 0.337"

• 𝑆𝑆 =𝜋

32

(𝐷𝑆𝑂4−(𝐷𝑆𝑂−2𝑇)4)

𝐷𝑆𝑂= 4.27 𝑖𝑛3

• 𝐿𝑆 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝐿𝑒𝑛𝑔𝑡ℎ 𝐵𝑒𝑙𝑜𝑤 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 = 6"

• 𝐺 = 𝐺𝑟𝑜𝑢𝑡 𝐻𝑒𝑖𝑔ℎ𝑡 = 2"

• 𝑇𝐵 = 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 𝑇ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠 = 1.5"

• 𝐿𝑊 = 𝐻𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝐹𝑖𝑥𝑒𝑑 𝐴𝑥𝑖𝑠 𝐴𝑏𝑜𝑣𝑒 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 = 0.25"

• 𝐹𝑌 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑀𝑖𝑛 𝑌𝑖𝑒𝑙𝑑 𝑆𝑡𝑟𝑒𝑛𝑔𝑡ℎ = 35,000 𝑝𝑠𝑖

• φ = 𝑆𝑡𝑟𝑒𝑔𝑛𝑡ℎ 𝑅𝑒𝑑𝑢𝑐𝑡𝑖𝑜𝑛 𝐹𝑎𝑐𝑡𝑜𝑟 = 0.90 (D.4.4, RD.10)

• 𝜎𝐷𝐵 > 𝜎𝑆𝐵

• φ𝐹𝑌 >(𝑉/2)(𝐺+𝑇𝐵+𝐿𝑊+

𝐿𝑆−𝐺

2)

𝑆𝑆

• (0.9)35,000 >(23,900/2)(2+1.5+.25+(6−2)/2)

4.27

• 𝟑𝟏, 𝟓𝟎𝟎 𝒑𝒔𝒊 > 𝟏𝟔, 𝟎𝟗𝟐 𝒑𝒔𝒊

Thus, the shear key strength exceeds the stress applied to the shear keys.

7.0 Pipe to Cover Plate Attachment Weld

Third, it is determined if the reaction load yields the shear key pipe-cover plate weld in either

shear or bending. To simplify evaluation, the full penetration weld is assumed to resist bending

and the backing fillet weld is assumed to resist shear.

The weld stress is calculated by treating the weld as a line as detailed in Section 7.4 of the

Design of Welded Structures [12]. The pipe median diameter is used for the full penetration

weld diameter. As required by AWS D1.1 [13], the weld filler material shall match the base

metal in accordance with Table 3.1. Per AWS D1.1 Table 2.6, the allowable weld stress for

tension welds in tubular connection welds is the same as the base metal (φFY = (0.9) 35,000 =

31,500 psi).

• 𝜎𝑊𝐷𝑇 = 𝐷𝑒𝑠𝑖𝑔𝑛 𝑊𝑒𝑙𝑑 𝑇𝑒𝑛𝑠𝑖𝑜𝑛 𝑆𝑡𝑟𝑒𝑠𝑠

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 14: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 14 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 14

• 𝜎𝑊𝐵 = 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝑊𝑒𝑙𝑑 𝐵𝑒𝑛𝑑𝑖𝑛𝑔 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝑆𝑊𝐵 = 𝐹𝑢𝑙𝑙 𝑃𝑒𝑛 𝑊𝑒𝑙𝑑 𝑎𝑠 𝑎 𝐿𝑖𝑛𝑒 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 𝑀𝑜𝑑𝑢𝑙𝑢𝑠

• 𝐷𝑆𝑂 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑂𝑢𝑡𝑒𝑟 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟 = 4.5"

• 𝑇 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑊𝑎𝑙𝑙 𝑇ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠 = 0.337"

• 𝑆𝑊𝐵 =𝜋

4(𝐷𝑆𝑂 − 𝑇)2 = 13.61 𝑖𝑛2 [12], 7.4 Table 5

• 𝐿𝑆 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝐿𝑒𝑛𝑔𝑡ℎ 𝐵𝑒𝑙𝑜𝑤 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 = 6"

• 𝐺 = 𝐺𝑟𝑜𝑢𝑡 𝐻𝑒𝑖𝑔ℎ𝑡 = 2"

• 𝑇𝐵 = 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 𝑇ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠 = 1.5"

• 𝐹𝑌 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝑀𝑖𝑛 𝑌𝑖𝑒𝑙𝑑 𝑆𝑡𝑟𝑒𝑛𝑔𝑡ℎ = 35,000 𝑝𝑠𝑖

• φ = 𝑆𝑡𝑟𝑒𝑔𝑛𝑡ℎ 𝑅𝑒𝑑𝑢𝑐𝑡𝑖𝑜𝑛 𝐹𝑎𝑐𝑡𝑜𝑟 = 0.90 (D.4.4, RD.10)

• 𝜎𝑊𝐷𝑇 > 𝜎𝑊𝐵

• φ𝐹𝑌 >(𝑉/2)(𝐺+𝑇𝐵+

𝐿𝑆−𝐺

2)

𝑆𝑊𝐵𝑇

• (0.9)35,000 >(23,900/2)(2+1.5+(6−2)/2)

13.61 (.337)

• 𝟑𝟏, 𝟓𝟎𝟎 𝒑𝒔𝒊 > 𝟏𝟒, 𝟑𝟑𝟎 𝒑𝒔𝒊

The centerline of the effective weld throat is used for the fillet weld diameter. Per AWS D1.1

Table 2.6 and AISC 360 [14] Table J2.5, the allowable limit for fillet welds in strength design is

45% (0.75 * 0.6) of the filler metal tensile strength. Per the fabricator weld procedures, the filler

metal is known to be ER70S-X (i.e. a tensile strength of 70,000 psi).

• 𝜎𝑊𝐷𝑆 = 𝐷𝑒𝑠𝑖𝑔𝑛 𝐹𝑖𝑙𝑙𝑒𝑡 𝑊𝑒𝑙𝑑 𝑆ℎ𝑒𝑎𝑟 𝑆𝑡𝑟𝑒𝑠𝑠 = 31,500 𝑝𝑠𝑖

• 𝜎𝑊𝑆 = 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝑊𝑒𝑙𝑑 𝑆ℎ𝑒𝑎𝑟 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝐿𝑊𝐹 = 𝐹𝑖𝑙𝑙𝑒𝑡 𝑊𝑒𝑙𝑑 𝐿𝑒𝑛𝑔𝑡ℎ

• 𝑇𝑊𝐹 = 𝐹𝑖𝑙𝑙𝑒𝑡 𝑊𝑒𝑙𝑑 𝐸𝑓𝑓𝑒𝑐𝑡𝑖𝑣𝑒 𝑇ℎ𝑟𝑜𝑎𝑡 = .088"

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 15: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 15 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 15

• 𝐷𝑊𝐹 = 𝐹𝑖𝑙𝑙𝑒𝑡 𝑇ℎ𝑟𝑜𝑎𝑡 𝐶𝑒𝑛𝑡𝑒𝑟𝑙𝑖𝑛𝑒 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟 = 4.5625"

• 𝐿𝑊𝐹 = 𝜋(𝐷𝑊𝐹) = 𝜋(4.5625) = 14.33 𝑖𝑛

• 𝜎𝑊𝐷𝑆 > 𝜎𝑊𝑆

• 31,500 >(𝑉/2)

𝐿𝑊𝐹𝑇𝑊𝐹

• 31,500 >(23,900/2)

14.33 (.088)

• 𝟑𝟏, 𝟓𝟎𝟎 𝒑𝒔𝒊 > 𝟗, 𝟒𝟕𝟕 𝒑𝒔𝒊

8.0 Cover Plate to Baseplate Attachment Weld

Fourth, it is determined if the reaction load yields the shear key cover plate to HP baseplate fillet

weld.

The shear and bending weld stresses are calculated separately and combined using the square

root sum of the squares as the two stresses are 90° apart (equation 3 in Section 7.4) [12]. As

indicated previously, the filler metal is known to be ER70S-X.

• 𝜎𝑊𝐷𝑆 = 𝐷𝑒𝑠𝑖𝑔𝑛 𝐹𝑖𝑙𝑙𝑒𝑡 𝑊𝑒𝑙𝑑 𝑆ℎ𝑒𝑎𝑟 𝑆𝑡𝑟𝑒𝑠𝑠 = 31,500 𝑝𝑠𝑖

• 𝜎𝑊𝐶𝐵 = 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝐶𝑜𝑣𝑒𝑟 𝑃𝑙𝑎𝑡𝑒 𝑊𝑒𝑙𝑑 𝑆ℎ𝑒𝑎𝑟 𝑆𝑡𝑟𝑒𝑠𝑠 𝑓𝑟𝑜𝑚 𝐵𝑒𝑛𝑑𝑖𝑛𝑔

• 𝑇𝑊𝐶𝐹 = 𝐶𝑜𝑣𝑒𝑟 𝑃𝑙𝑎𝑡𝑒 𝐹𝑖𝑙𝑙𝑒𝑡 𝑊𝑒𝑙𝑑 𝐸𝑓𝑓𝑒𝑐𝑡𝑖𝑣𝑒 𝑇ℎ𝑟𝑜𝑎𝑡 = .35"

• 𝐷𝑊𝐶𝐹 = 𝐶𝑜𝑣𝑒𝑟 𝑃𝑙𝑎𝑡𝑒 𝐹𝑖𝑙𝑙𝑒𝑡 𝑇ℎ𝑟𝑜𝑎𝑡 𝐶𝑒𝑛𝑡𝑒𝑟𝑙𝑖𝑛𝑒 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟 = 6.25"

• 𝑆𝑊𝐶𝐵 =𝜋

4(𝐷𝑊𝐶𝐹)2 = 30.67 𝑖𝑛2 [12], 7.4 Table 5

• 𝐿𝑆 = 𝑆ℎ𝑒𝑎𝑟 𝐾𝑒𝑦 𝐿𝑒𝑛𝑔𝑡ℎ 𝐵𝑒𝑙𝑜𝑤 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 = 6"

• 𝐺 = 𝐺𝑟𝑜𝑢𝑡 𝐻𝑒𝑖𝑔ℎ𝑡 = 2"

• 𝑇𝐵 = 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 𝑇ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠 = 1.0"

• 𝐿𝑊 = 𝐻𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝐹𝑖𝑥𝑒𝑑 𝐴𝑥𝑖𝑠 𝐴𝑏𝑜𝑣𝑒 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 = 0.25"

• 𝜎𝑊𝐶𝐵 =(𝑉/2)(𝐺+𝑇𝐵+𝐿𝑊+

𝐿𝑆−𝐺

2)

𝑆𝑊𝐶𝐵𝑇𝑊𝐶𝐹

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 16: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 16 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 16

• 𝜎𝑊𝐶𝐵 =(23,900/2)(2+1.5+.25+(6−2)/2)

30.67 (.35)

• 𝜎𝑊𝐶𝐵 = 6,402 𝑝𝑠𝑖

• 𝜎𝑊𝐶𝑆 = 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝐶𝑜𝑣𝑒𝑟 𝑃𝑙𝑎𝑡𝑒 𝑊𝑒𝑙𝑑 𝑆ℎ𝑒𝑎𝑟 𝑆𝑡𝑟𝑒𝑠𝑠 𝑓𝑟𝑜𝑚 𝑆ℎ𝑒𝑎𝑟

• 𝐿𝑊𝐶𝐹 = 𝐶𝑜𝑣𝑒𝑟 𝑃𝑙𝑎𝑡𝑒 𝐹𝑖𝑙𝑙𝑒𝑡 𝑊𝑒𝑙𝑑 𝐿𝑒𝑛𝑔𝑡ℎ

• 𝐿𝑊𝐶𝐹 = 𝜋(𝐷𝑊𝐶𝐹) = 𝜋(6.25) = 19.63 𝑖𝑛

• 𝜎𝑊𝐶𝑆 =(𝑉/2)

𝐿𝑊𝐶𝐹𝑇𝑊𝐶𝐹

• 𝜎𝑊𝐶𝑆 =(23,900/2)

19.63 (.35)

• 𝜎𝑊𝐶𝑆 = 1,740 𝑝𝑠𝑖

• 𝜎𝑊𝐷𝑆 > √𝜎𝑊𝐶𝐵2 + 𝜎𝑊𝐶𝑆

2

• 𝟑𝟏, 𝟓𝟎𝟎 𝒑𝒔𝒊 > 𝟔, 𝟔𝟑𝟓 𝒑𝒔𝒊

Thus, the weld strength exceeds the stress applied to the weld.

9.0 Anchor Chair Top Plate

The anchor chair top plate is judged suitable for the HP design if the plate does not yield when

treated like a beam simply supported at both ends with a concentrated load at the center. The

beam has a conservative length (4.75”) equal to the distance between the outer faces of the

stiffeners and a conservative width (3.5”) equal to the distance from the front face of the chair to

the parallel plane that interface with the leg. In other words, the beam is the rectangular portion

of the anchor chair. In accordance with ASCE 7-10 15.7.3.a, the load on the beam is the strength

of the anchor in tension. Considering the tensile stress area, the anchor bolt minimum yield

strength and the expected material overstrength (120% as used in ACI 318-11 D.3.3.4.3(a)), the

strength of the anchor is tension is taken to be 26,400 lbs.

• 𝜎𝐴𝐶𝐴 = 𝐷𝑒𝑠𝑖𝑔𝑛 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝜎𝐴𝐶𝑇 = 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑇𝑜𝑝 𝑃𝑙𝑎𝑡𝑒 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝑆𝐴𝐶𝑇 = 𝑇𝑜𝑝 𝑃𝑙𝑎𝑡𝑒 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 𝑀𝑜𝑑𝑢𝑙𝑢𝑠

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 17: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 17 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 17

• 𝑊𝐴𝐶𝑇 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑇𝑜𝑝 𝑃𝑙𝑎𝑡𝑒 𝐵𝑒𝑎𝑚 𝑊𝑖𝑑𝑡ℎ = 3.5"

• 𝐿𝐴𝐶𝑇 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑇𝑜𝑝 𝑃𝑙𝑎𝑡𝑒 𝑈𝑛𝑠𝑢𝑝𝑝𝑜𝑟𝑡𝑒𝑑 𝐿𝑒𝑛𝑔𝑡ℎ = 4.75"

• 𝑇𝐴𝐶𝑇 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑇𝑜𝑝 𝑃𝑙𝑎𝑡𝑒 𝑇ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠 = 2.0"

• 𝑆𝐴𝐶𝑇 =1

6𝑊𝐴𝐶𝑇𝑇𝐴𝐶𝑇

2 = 2.33 𝑖𝑛3

• 𝐹𝐴𝐵 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐵𝑜𝑙𝑡 𝑇𝑒𝑛𝑠𝑖𝑙𝑒 𝐹𝑜𝑟𝑐𝑒 = 26,400 𝑙𝑏𝑠

• 𝐹𝑌 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑀𝑖𝑛 𝑌𝑖𝑒𝑙𝑑 𝑆𝑡𝑟𝑒𝑛𝑔𝑡ℎ = 36,000 𝑝𝑠𝑖

• Ω𝑏 = 𝑆𝑎𝑓𝑒𝑡𝑦 𝐹𝑎𝑐𝑡𝑜𝑟 𝑓𝑜𝑟 𝐹𝑙𝑒𝑥𝑢𝑟𝑒 = 1.67 [14](F1, 16.1-46)

• 𝜎𝐴𝐶𝐴 > 𝜎𝐴𝐶𝑇

• 𝐹𝑌

Ω𝑏>

(𝐹𝐴𝐵)(𝐿𝐴𝐶𝑇)

(4)𝑆𝐴𝐶𝑇

• 36,000

1.67>

(26,400)(4.75)

4 (2.33)

• 𝟐𝟏, 𝟓𝟓𝟔 𝒑𝒔𝒊 > 𝟏𝟑, 𝟒𝟓𝟓 𝒑𝒔𝒊

The anchor chair top plate is suitable for the HP design.

10.0 Anchor Chair Stiffeners

The anchor chair stiffeners are judged suitable for the HP design if half the maximum anchor

bolt tensile force, 26,400 lbs, is less than the critical column buckling load. The stiffener width

is taken as the minimum stiffener side dimension (4.375”) and the stiffener is conservatively

treated as a column with both ends pinned.

• 𝐼𝐴𝐶𝑆 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑆𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑟 𝑀𝑜𝑚𝑒𝑛𝑡 𝑜𝑓 𝐼𝑛𝑒𝑟𝑡𝑖𝑎

• 𝑊𝐴𝐶𝑆 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑆𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑟 𝑊𝑖𝑑𝑡ℎ = 4.375"

• 𝑇𝐴𝐶𝑆 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑆𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑟 𝑇ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠 = 0.375"

• 𝐻𝐴𝐶𝑆 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑆𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑟 𝐻𝑒𝑖𝑔ℎ𝑡 = 6"

• 𝑃𝐴𝐶𝑆 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑆𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑟 𝐿𝑜𝑎𝑑

• 𝐼𝐴𝐶𝑆 =1

12𝑊𝐴𝐶𝑆𝑇𝐴𝐶𝑆

3 = 0.019 𝑖𝑛4

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 18: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 18 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 18

• 𝐹𝐴𝐵 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐵𝑜𝑙𝑡 𝑇𝑒𝑛𝑠𝑖𝑙𝑒 𝐹𝑜𝑟𝑐𝑒 = 26,400 𝑙𝑏𝑠

• 𝑃𝐶𝑅 > 𝑃𝐴𝐶𝑆

• π2𝐸𝐼𝐴𝐶𝑆

L2>

(𝐹𝐴𝐵)

2 [11] (10.11, p. 611)

• π2(29𝑥106).019

62 >(26.400)

2

• 𝟏𝟓𝟏, 𝟎𝟓𝟗 𝒍𝒃𝒔 > 𝟏𝟑, 𝟐𝟎𝟎 𝒍𝒃𝒔

The anchor chair stiffeners are suitable for the HP design.

11.0 Anchor Chair Welds

The anchor chair welds are judged suitable for the HP design if the top plate to stiffener welds do

not yield due to shear from the anchor bolt reaction load. These welds are examined because the

weld length is the shortest between any two parts in the anchor chair arrangement. The bending

stresses on the welds within the anchor chair arrangement are negligible.

The weld stress is calculated by treating the weld as a line as detailed in Section 7.4 of the

Design of Welded Structures [12]. The weld length is the total length of contact between the

outer stiffener faces and bottom of the anchor chair top plate (7”). As indicated previously, the

filler metal is known to be ER70S-X.

• 𝜎𝑊𝐷𝑆 = 𝐷𝑒𝑠𝑖𝑔𝑛 𝐹𝑖𝑙𝑙𝑒𝑡 𝑊𝑒𝑙𝑑 𝑆ℎ𝑒𝑎𝑟 𝑆𝑡𝑟𝑒𝑠𝑠 = 31,500 𝑝𝑠𝑖

• 𝜎𝐴𝐶𝑆 = 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝐴𝑛𝑐ℎ𝑜𝑟 𝐶ℎ𝑎𝑖𝑟 𝑊𝑒𝑙𝑑 𝑆ℎ𝑒𝑎𝑟 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝑇𝐴𝐶𝐹 = 𝐹𝑖𝑙𝑙𝑒𝑡 𝑊𝑒𝑙𝑑 𝐸𝑓𝑓𝑒𝑐𝑡𝑖𝑣𝑒 𝑇ℎ𝑟𝑜𝑎𝑡 = .265"

• 𝐿𝐴𝐶𝐹 = 𝑇𝑜𝑝 𝑃𝑙𝑎𝑡𝑒 − 𝑆𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑟 𝑊𝑒𝑙𝑑 𝐿𝑒𝑛𝑔𝑡ℎ = 7.00"

• 𝐹𝐴𝐵 = 𝐴𝑛𝑐ℎ𝑜𝑟 𝐵𝑜𝑙𝑡 𝑇𝑒𝑛𝑠𝑖𝑙𝑒 𝐹𝑜𝑟𝑐𝑒 = 26,400 𝑙𝑏𝑠

• 𝜎𝐴𝐶𝑆 =𝐹𝐴𝐵

𝐿𝐴𝐶𝐹𝑇𝐴𝐶𝐹

• 𝜎𝑊𝐶𝑆 =(26,400)

7.00 (.265)

• 𝟑𝟏, 𝟓𝟎𝟎 𝒑𝒔𝒊 > 𝟏𝟒, 𝟐𝟑𝟐 𝒑𝒔𝒊

Thus, the anchor chair welds are suitable for the HP design.

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 19: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 19 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 19

12.0 Baseplate

The baseplate thickness is calculated in the fabricator vessel design calculations [1]. It is

confirmed that the baseplate is suitable for the HP shear key / anchor design by evaluating a

combination of in-plane baseplate bending stresses and the baseplate bearing stresses. The in-

plane stresses are estimated by treating one half of one side of the baseplate as a cantilever beam

with the shear key at the fixed end. Conservatively, the two stresses are calculated separately

and combined using the square root sum of the squares.

First, the stress from the loads imposed by the shear key is calculated. The beam is

conservatively assumed to have a length equal to half one baseplate side. Second, the stress

imposed from the plate bearing on the concrete is calculated. The stress is calculated using

equations 3.3.10, 3.3.11 and 3.3.13b in the AISC Design Guide 1 [15] with B equal to the

baseplate side dimension, m measured from the edge of the baseplate to 95% of the outside leg

dimension (~2”) and Y conservatively taken to equal m. The total compressive force is 53,731

lbs from the PROFIS Design Reports (Appendix A).

• 𝜎𝐵𝑃𝐴 = 𝐷𝑒𝑠𝑖𝑔𝑛 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝜎𝐵𝑃𝑀 = 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 𝐵𝑒𝑛𝑑𝑖𝑛𝑔 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝜎𝐵𝑃𝐵 = 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 𝐵𝑒𝑎𝑟𝑖𝑛𝑔 𝑆𝑡𝑟𝑒𝑠𝑠

• 𝑆𝐵𝑃𝑆 = 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 𝑀𝑜𝑑𝑢𝑙𝑢𝑠

• 𝑊𝐵𝑃 = 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 𝑊𝑖𝑑𝑡ℎ = 9"

• 𝐿𝐵𝑃 = 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 𝐶𝑎𝑛𝑡𝑖𝑙𝑖𝑣𝑒𝑟𝑒𝑑 𝐿𝑒𝑛𝑔𝑡ℎ = 18"

• 𝑇𝐵𝑃 = 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 𝑇ℎ𝑖𝑐𝑘𝑛𝑒𝑠𝑠 = 1.5"

• 𝐵 = 36 𝑖𝑛

• 𝑆𝐵𝑃𝑆 =1

6𝑇𝐵𝑃𝑊𝐵𝑃

2 = 20.25 𝑖𝑛3

• 𝐹𝑆𝐾 = 𝐶𝑜𝑛𝑐𝑒𝑛𝑡𝑟𝑎𝑡𝑒𝑑 𝐿𝑜𝑎𝑑 =23,900

2= 11,950 𝑙𝑏𝑠

• 𝐹𝐶 = 𝑇𝑜𝑡𝑎𝑙 𝐶𝑜𝑚𝑝𝑟𝑒𝑠𝑠𝑖𝑣𝑒 𝐹𝑜𝑟𝑐𝑒 = 53,731 𝑙𝑏𝑠

• 𝐹𝑌 = 𝐵𝑎𝑠𝑒𝑝𝑙𝑎𝑡𝑒 𝑀𝑖𝑛 𝑌𝑖𝑒𝑙𝑑 𝑆𝑡𝑟𝑒𝑛𝑔𝑡ℎ = 36,000 𝑝𝑠𝑖

• Ω𝑏 = 𝑆𝑎𝑓𝑒𝑡𝑦 𝐹𝑎𝑐𝑡𝑜𝑟 𝑓𝑜𝑟 𝐹𝑙𝑒𝑥𝑢𝑟𝑒 = 1.67 [14](F1, 16.1-46)

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

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CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 20 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 20

• 𝜎𝐵𝑃𝑆 =(𝐹𝑆𝐾)(𝐿𝐵𝑃)

𝑆𝐵𝑃𝑆

• 𝜎𝐵𝑃𝑆 =(11,950)(18)

20.25

• 𝜎𝐵𝑃𝑆 = 10,623 𝑝𝑠𝑖

• 𝜎𝐵𝑃𝐵 =2(𝐹𝐶)𝑚

(𝐵)𝑇𝐵𝑃2

• 𝜎𝐵𝑃𝐵 =2(53,731)2

(36)1.52

• 𝜎𝐵𝑃𝐵 = 2,654 𝑝𝑠𝑖

• 𝜎𝐵𝑃𝐴 > 𝜎𝐵𝑃

• 𝜎𝐵𝑃𝐴 > √𝜎𝐴𝐶𝐵2 + 𝜎𝐴𝐶𝑆

2

• 36,000

1.67> √(10,623)2 + (2,654)2

• 𝟐𝟏, 𝟓𝟓𝟔 𝒑𝒔𝒊 > 𝟏𝟎, 𝟗𝟓𝟎 𝒑𝒔𝒊

The baseplate bearing (1,771 psi) and tear out stresses (1,992 psi) are acceptable by inspection.

Thus, the baseplate is suitable for the HP design.

13.0 Associated Analyses / Documents

Pipe stress reports related to this report are listed below.

79120-P0001 CP1 MCS Helium Piping (79120-PS-104) Stress

Analysis

79120-P0009 CP2 MCS Helium Piping (79120-PS-204) Stress

Analysis

14.0 Summary / Conclusions

The nominal anchor bond and concrete breakout utilizations are less than 120% of the nominal

steel utilization. The reduced steel, bond and concrete breakout anchor utilizations are less than

100%. The bearing strength of the concrete exceeds the applied shear key bearing load. The

reaction shear load does not yield the shear key in shear and the resulting moment does not yield

the shear key in bending. The attachment welds are sufficient for the shear / moment applied at

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

Page 21: HP Oil Coalescer Anchor-Shear Key Calculations...2017/06/01  · The anchor chair / baseplate bolt holes are oversized (1 1/2”) to ensure no shear is applied to the anchor bolts

CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 21 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 21

the shear key-baseplate connection. The anchor chair and baseplate are not overstressed. Thus,

the HP anchor and shear key design is acceptable.

15.0 References

[1] HP Oil Coalescer [COMPRESS Pressure Vessel Design Calculations], EC160130-0456

Rev B

[2] California Building Code, 2013

[3] Minimum Design Loads for Buildings and Other Structures. ASCE/SEI 7-10, 2010

[4] Final Report Geotechnical Investigation LCLS II Cryogenic Building and Infrastructure

SLAC National Accelerator Laboratory, Rutherford+Chekene #2014-106G

[5] Cryogenic Plant Seismic Design Criteria, LCLSII-4.8-EN-0227-R2

[6] Building Code Requirements for Structural Concrete, ACI 318-11

[7] Code Requirements for Nuclear Safety-Related Concrete Structures, ACI 349-13

[8] ICC-ES Evaluation Report for Hilti HIT-RE 500 V3 Adhesive Anchors, ESR-3814

[9] LCLS-II Cryogenic Building and Infrastructure IFC Submittal, ID-905-000-00

[10] LCLS-II Cryogenic Building and Infrastructure IFC Submittal, Project Manual

[11] Mechanics of Materials, Beer, Johnston Jr and DeWolf – 3rd

Ed, p. 400, 781

[12] Design of Welded Structures, Blodgett, 1966

[13] Structural Welding Code—Steel, AWS D1.1/D1.1M 2015

[14] Specification for Structural Steel Buildings, AISC 360-10, 2010

[15] Steel Design Guide 1: Base Plate and Anchor Rod Design, AISC, 2006

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |

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CSA Documentation-Calculations

Title: HP Oil Coalescer Anchor-Shear Key Calculations

Note Number: 79120-A0001

Author(s): Scott Kaminski Page 22 of 22

CSA Documentation – HP Oil Coalescer Anchor-Shear Key Calculations Page 22

Appendix A – PROFIS Design Reports

The PROFIS project file and Design Reports listed below are on file at JLab and can be provided

upon request.

FILE TYPE FILE NAME

PROFIS Project HP OC FINAL (5-1-17)

PROFIS Design Report HP PI B7 Op A (5-1-17)

PROFIS Design Report HP PI B7 Op B (5-1-17)

PROFIS Design Report HP CI 36 Op A (5-1-17)

These files are located in the folder path indicated below. M:\cryo\LCLS II ANALYSIS FOLDER\ORV

Approved: 5/11/2017; E-Sign ID : 342707; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |