Carbon Adsorber Anchor-Shear Key Calculations
Transcript of Carbon Adsorber Anchor-Shear Key Calculations
CSA Documentation-Calculations
Title: Carbon Adsorber Anchor-Shear Key Calculations
Note Number: 79120-A0003
Author(s): Scott Kaminski Page 1 of 21
CSA Documentation β Carbon Adsorber Anchor-Shear Key Calculations Page 1
Carbon Adsorber
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
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CSA Documentation-Calculations
Title: Carbon Adsorber Anchor-Shear Key Calculations
Note Number: 79120-A0003
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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 ................................................................................................................ 11 6.0 Shear Key Pipe ..................................................................................................................................... 12 7.0 Attachment Weld ................................................................................................................................. 14 8.0 Anchor Chair Top Plate ....................................................................................................................... 15 9.0 Anchor Chair Stiffeners ....................................................................................................................... 16 10.0 Anchor Chair Welds .......................................................................................................................... 17 11.0 Baseplate ............................................................................................................................................ 18 12.0 Associated Analyses / Documents ..................................................................................................... 19 13.0 Summary / Conclusions ..................................................................................................................... 20 14.0 References .......................................................................................................................................... 20 Appendix A β PROFIS Design Reports ...................................................................................................... 21
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CSA Documentation-Calculations
Title: Carbon Adsorber Anchor-Shear Key Calculations
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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 Carbon Adsorber (CA) is suitable for
the maximum overturning moment and design shear force. Figure 1 provides a graphical
representation of the CA.
Separate vessel design calculations [1] from the fabricator (Eden Cryogenics) verify that the legs
are suitable for the seismic acceleration forces and the CA 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 12) and the summary / conclusion (Section 13).
Figure 1: LCLS-II Carbon Adsorber (CA)
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2.0 Anchor and Shear Key Design
The baseplate, anchor and shear key design for the CA is reflected in Figures 2 through 5.
Namely, a 1.75β thick square baseplate with a center cutout. The baseplate outer side dimension
is 87β and the inner side dimension is 52β.
The anchor design consists of two 1β F1554 Grade 36 anchors located at the centerline on either
side of each I-Beam leg. The bolt centerline is 2.5β from the flange face. These anchors have an
effective embedment depth of 16β and are installed using the Hilti HIT-RE 500 V3 adhesive
anchoring system. The anchors are attached to the CA through anchors chairs with a top face
10β 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 1/2β) 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 2.5β thick with two SA-36 1/2β stiffeners spaced 5β apart (face to
face). The anchor chair components are attached to each other and the beam through 3/8β fillet
welds.
The shear key design consists of four 6β XS/SCH 80 A106 Grade B pipes at the center of each
side of the square. The pipes are 6β long, such that they extend 4β into the concrete slab and
include two 1.5β diameter holes to facilitate the flow of grout to the inside of the pipe. The 1.5β
holes are oriented parallel to the baseplate. The shear keys are attached to the baseplate by a
penetration groove weld and a 1/4β fillet weld.
Figure 2: CA Anchor Bolt and Shear Key Arrangement
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Figure 3: CA Anchor Chair Arrangement
Figure 4: CA Shear Key Design
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Figure 5: Shear Key in Concrete Section View
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 CA (namely inert cryogenics, gaseous
helium and Coconut Shell Activated Carbon) are not hazardous (NPFA Fire Hazard 1, not toxic).
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.
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As the CA 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 CA 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
CA even though not required by ASCE 7-10 15.4.1.1.
The seismic base shear applied to the CA anchors and shear keys is determined in accordance
with ASCE 7-10 15.4.2 as the fundamental period is less than 0.06 seconds (.053 seconds per
[1]). As such,
β’ π = 0.3 ππ·ππΌπ π = .3(1.968)(1.5)π = 0.886 π (15.4-5)
Per the fabricator vessel design calculations, the operating weight is 32,900 lbs [1], including an
activated carbon weight of ~9,330 lbs (30 lbs/cubic foot), and the operating center of gravity is
137.5β [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 = 29,150 lbs
and the CA overturning moments are
Mx = 4,008,100 in-lbs
My = 1,202,500 in-lbs
The design load combinations are specified in ASCE 7-10 2.3.2. As shown in fabricator vessel
design calculations [1], the seismic anchor/shear loads are at least twenty times greater than the
wind loads. Thus, for the CA the two potential determining load combinations are, in
accordance with ASCE 7-10 12.4.2.3,
5. (1.2 + 0.2 SDS) D + ΟQE + L + 0.2S
7. (0.9 - 0.2 SDS) D + ΟQE
The snow load, S, is zero for the CA and Ο = 1 per ASCE 7-10 15.6.
To conservatively account for inlet and outlet nozzle loads (reference Section 13), 4,000 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 = 4,700 lbs
MPx = 988,000 in-lbs
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MPy = 592,800 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 CA anchor design forces / moments are
Vertical = -16,600 lbs
ΟQE (Mx) = 4,996,100 in-lbs
ΟQE (My) = 1,795,300 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 = 67,700 lbs
To ensure the shear keys are suitable for the CA 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
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Additional parameters used in analyzing the shear keys include
- The shear lug separation (49β) 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 is such that shear concrete breakout is not a concern.
The closest edge is 42β to the face of the nearest shear lug. Thus, the minimum shear
strength toward a free edge is 55,250 lbs (per ACI 349-13 D.11.2).
- 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
- A shear key is suitable for the CA 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 7)
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 PROFIS project is created that accurately reflects the baseplate arrangement, but
with bolts at the four I-beam leg locations. This project is used to determine the
design leg uplift force (30,016 lbs). As the leg concrete failure areas do not overlap
(bolt separation exceeds concrete breakout critical spacing) and the bolt separation
exceeds the bond strength critical spacing, the legs can be analyzed individually (ACI
318-11 D.3.1.1).
2. A design report for one leg 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.
3. 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.
4. A design report for one leg is generated that accurately reflects the intended post-
installed anchor arrangement and design conditions with the exception that B7 bolts
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are used and option D3.3.4.3(b) is selected. This report accurately reflects the
reduced concrete breakout utilization.
5. A design report for one leg 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.
6. 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
the Stand-Off with Grout option (2β Grout thickness) most accurately represents the
tension load bolt distribution with a baseplate-anchor chair design.
- The distance to the nearest edge (greater than the distance to the edge of the projected
concrete failure area) is such that edge effects are not a concern
- The CA projected concrete failure area does not overlap projected concrete failure
areas from adjacent equipment (more than 7β of separation between the Final Filter
and CA projected areas, more than 21β of separation between the Main Oil Coalescer
and CA projected areas, more than 26β of separation between the UCB Platform and
CA projected area).
- 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 β₯ 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.
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120% Nominal Steel Strength
Nominal Bond Strength
Nominal Concrete Breakout Strength
Tension Utilizations
35.6% 26.9% 31.3%
Reduced Strength
Steel Reduced
Strength Bond Reduced Strength Concrete Breakout
Tension Utilizations
57.0% 55.0% 64.2%
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 βbearing area should be limited to the contact area below
the plane defined by the concrete surface.β Per ACI 349-13 D.4.6.2, the concrete design bearing
strength is 1.3 times the concrete compressive strength modified by the strength reduction factor
(1.3 Ο fcβ).
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].
β’ ππ·πΆ = π·ππ πππ πΆππππππ‘π π΅ππππππ ππ‘πππππ‘β
β’ πππΆ = πβπππ πΎππ¦ πΆππππππ‘π π΅ππππππ ππ‘πππ π
β’ π΄π = πβπππ πΎππ¦ π΅ππππππ π΄πππ
β’ π·ππ = πβπππ πΎππ¦ ππ’π‘ππ π·πππππ‘ππ = 6.625"
β’ π» = πβπππ πΎππ¦ πΊπππ’π‘ π»πππ π·πππππ‘ππ = 1.5"
β’ πΏπ = πβπππ πΎππ¦ πΏππππ‘β π΅ππππ€ π΅ππ πππππ‘π = 6"
β’ πΊ = πΊπππ’π‘ π»πππβπ‘ = 2"
β’ π΄π = π·ππ(πΏπ β πΊ) β π(
π»
2)
2
2= 6.625 (6 β 2) β
π(1.5
2)
2
2
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β’ π΄π = 25.61 ππ2
β’ Ο = ππ‘πππππ‘β π πππ’ππ‘πππ πΉπππ‘ππ = 0.65 (D.4.4, RD.4.6.2)
β’ ππβ² = πΆππππππ‘π πΆππππππ π ππ£π ππ‘πππππ‘β = 4,000 ππ π
β’ ππ·πΆ > πππΆ
β’ 1.3Οππβ² >
(π/2)
π΄π
β’ 1.3 (0.65)4,000 >(67,700/2)
25.61
β’ π, πππ πππ > π, πππ πππ
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 90Β°
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 sinΞΈ)/(Ο Rm T) [11]. As such, the maximum stress occurs 90Β° 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.
β’ ππ·π = π·ππ πππ πβπππ πΎππ¦ πβπππ ππ‘πππ π
β’ πππ = πππ₯πππ’π πβπππ πΎππ¦ πβπππ ππ‘πππ π
β’ π π = πβπππ πΎππ¦ ππππππ π ππππ’π = (π·ππ β π)/2
β’ π·ππ = πβπππ πΎππ¦ ππ’π‘ππ π·πππππ‘ππ = 6.625"
β’ π = πβπππ πΎππ¦ ππππ πβππππππ π = 0.432β
β’ πΉπ = πβπππ πΎππ¦ πππ πππππ ππ‘πππππ‘β = 35,000 ππ π
β’ Ο = ππ‘πππππ‘β π πππ’ππ‘πππ πΉπππ‘ππ = 0.55 (D.4.4, RD.10)
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β’ ππ·π > πππ
β’ ΟπΉπ >(π/2) sin(90Β°)
ππ ππ
β’ (0.55)35,000 >(67,700/2)(1)
π((6.625β0.432)/2)0.432
β’ ππ, πππ πππ > π, πππ πππ
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.
β’ ππ·π΅ = π·ππ πππ πβπππ πΎππ¦ π΅ππππππ ππ‘πππ π
β’ πππ΅ = πππ₯πππ’π πβπππ πΎππ¦ π΅ππππππ ππ‘πππ π
β’ ππ = πβπππ πΎππ¦ ππππ‘πππ ππππ’ππ’π
β’ π·ππ = πβπππ πΎππ¦ ππ’π‘ππ π·πππππ‘ππ = 6.625"
β’ π = πβπππ πΎππ¦ ππππ πβππππππ π = 0.432"
β’ ππ =π
32
(π·ππ4β(π·ππβ2π)4)
π·ππ= 12.22 ππ3
β’ πΏπ = πβπππ πΎππ¦ πΏππππ‘β π΅ππππ€ π΅ππ πππππ‘π = 6"
β’ πΊ = πΊπππ’π‘ π»πππβπ‘ = 2"
β’ πΉπ = πβπππ πΎππ¦ πππ πππππ ππ‘πππππ‘β = 35,000 ππ π
β’ Ο = ππ‘πππππ‘β π πππ’ππ‘πππ πΉπππ‘ππ = 0.90 (D.4.4, RD.10)
β’ ππ·π΅ > πππ΅
β’ ΟπΉπ >(π/2)(πΊ+
πΏπβπΊ
2)
ππ
β’ (0.9)35,000 >(67,700/2)(2+(6β2)/2)
12.22
β’ ππ, πππ πππ > ππ, πππ πππ
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Thus, the shear key strength exceeds the stress applied to the shear keys.
7.0 Attachment Weld
Third, it is determined if the reaction load yields the shear key pipe-baseplate 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 (ΟFY = (0.9) 35,000 =
31,500 psi).
β’ πππ·π = π·ππ πππ ππππ ππππ πππ ππ‘πππ π
β’ πππ΅ = πππ₯πππ’π ππππ π΅ππππππ ππ‘πππ π
β’ πππ΅ = πΉπ’ππ πππ ππππ ππ π πΏπππ ππππ‘πππ ππππ’ππ’π
β’ π·ππ = πβπππ πΎππ¦ ππ’π‘ππ π·πππππ‘ππ = 6.625"
β’ π = πβπππ πΎππ¦ ππππ πβππππππ π = 0.432"
β’ πππ΅ =π
4(π·ππ β π)2 = 30.12 ππ2 [12], 7.4 Table 5
β’ πΏπ = πβπππ πΎππ¦ πΏππππ‘β π΅ππππ€ π΅ππ πππππ‘π = 6"
β’ πΊ = πΊπππ’π‘ π»πππβπ‘ = 2"
β’ πΉπ = πβπππ πΎππ¦ πππ πππππ ππ‘πππππ‘β = 35,000 ππ π
β’ Ο = ππ‘πππππ‘β π πππ’ππ‘πππ πΉπππ‘ππ = 0.90 (D.4.4, RD.10)
β’ πππ·π > πππ΅
β’ ΟπΉπ >(π/2)(πΊ+
πΏπβπΊ
2)
πππ΅π
β’ (0.9)35,000 >(67,700/2)(2+(6β2)/2)
30.12 (.432)
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CSA Documentation-Calculations
Title: Carbon Adsorber Anchor-Shear Key Calculations
Note Number: 79120-A0003
Author(s): Scott Kaminski Page 15 of 21
CSA Documentation β Carbon Adsorber Anchor-Shear Key Calculations Page 15
β’ ππ, πππ πππ > ππ, πππ πππ
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).
β’ πππ·π = π·ππ πππ πΉπππππ‘ ππππ πβπππ ππ‘πππ π = 31,500 ππ π
β’ πππ = πππ₯πππ’π ππππ πβπππ ππ‘πππ π
β’ πΏππΉ = πΉπππππ‘ ππππ πΏππππ‘β
β’ πππΉ = πΉπππππ‘ ππππ πΈπππππ‘ππ£π πβππππ‘ = .176"
β’ π·ππΉ = πΉπππππ‘ πβππππ‘ πΆπππ‘ππππππ π·πππππ‘ππ = 6.75"
β’ πΏππΉ = π(π·ππΉ) = π(6.75) = 21.20 ππ
β’ πππ·π > πππ
β’ 31,500 >(π/2)
πΏππΉπππΉ
β’ 31,500 >(67,700/2)
21.2 (.176)
β’ ππ, πππ πππ > π, πππ πππ
Thus, the strength of the welds exceeds the stress applied to the welds.
8.0 Anchor Chair Top Plate
The anchor chair top plate is judged suitable for the CA 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 (6β) equal to the distance between the outer faces of the stiffeners
and a width (5β) equal to the distance from the front face of the chair to the beam face. 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.
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CSA Documentation-Calculations
Title: Carbon Adsorber Anchor-Shear Key Calculations
Note Number: 79120-A0003
Author(s): Scott Kaminski Page 16 of 21
CSA Documentation β Carbon Adsorber Anchor-Shear Key Calculations Page 16
β’ ππ΄πΆπ΄ = π·ππ πππ π΄ππβππ πΆβπππ ππ‘πππ π
β’ ππ΄πΆπ = πππ₯πππ’π π΄ππβππ πΆβπππ πππ ππππ‘π ππ‘πππ π
β’ ππ΄πΆπ = πππ ππππ‘π ππππ‘πππ ππππ’ππ’π
β’ ππ΄πΆπ = π΄ππβππ πΆβπππ πππ ππππ‘π π΅πππ ππππ‘β = 5"
β’ πΏπ΄πΆπ = π΄ππβππ πΆβπππ πππ ππππ‘π πππ π’πππππ‘ππ πΏππππ‘β = 6"
β’ ππ΄πΆπ = π΄ππβππ πΆβπππ πππ ππππ‘π πβππππππ π = 2.5"
β’ ππ΄πΆπ =1
6ππ΄πΆπππ΄πΆπ
2 = 5.20 ππ3
β’ πΉπ΄π΅ = π΄ππβππ π΅πππ‘ ππππ πππ πΉππππ = 26,400 πππ
β’ πΉπ = π΄ππβππ πΆβπππ πππ πππππ ππ‘πππππ‘β = 36,000 ππ π
β’ Ξ©π = πππππ‘π¦ πΉπππ‘ππ πππ πΉπππ₯π’ππ = 1.67 [14](F1, 16.1-46)
β’ ππ΄πΆπ΄ > ππ΄πΆπ
β’ πΉπ
Ξ©π>
(πΉπ΄π΅)(πΏπ΄πΆπ)
(4)ππ΄πΆπ
β’ 36,000
1.67>
(26,400)(6)
4 (5.20)
β’ ππ, πππ πππ > π, πππ πππ
The anchor chair top plate is suitable for the CA design.
9.0 Anchor Chair Stiffeners
The anchor chair stiffeners are judged suitable for the CA 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 (5β) and the stiffener is conservatively treated
as a column with both ends pinned.
β’ πΌπ΄πΆπ = π΄ππβππ πΆβπππ ππ‘πππππππ ππππππ‘ ππ πΌππππ‘ππ
β’ ππ΄πΆπ = π΄ππβππ πΆβπππ ππ‘πππππππ ππππ‘β = 5"
β’ ππ΄πΆπ = π΄ππβππ πΆβπππ ππ‘πππππππ πβππππππ π = 0.5"
Approved: 5/11/2017; E-Sign ID : 342658; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |
CSA Documentation-Calculations
Title: Carbon Adsorber Anchor-Shear Key Calculations
Note Number: 79120-A0003
Author(s): Scott Kaminski Page 17 of 21
CSA Documentation β Carbon Adsorber Anchor-Shear Key Calculations Page 17
β’ π»π΄πΆπ = π΄ππβππ πΆβπππ ππ‘πππππππ π»πππβπ‘ = 7.5"
β’ ππ΄πΆπ = π΄ππβππ πΆβπππ ππ‘πππππππ πΏπππ
β’ πΌπ΄πΆπ =1
12ππ΄πΆπππ΄πΆπ
3 = 0.052 ππ4
β’ πΉπ΄π΅ = π΄ππβππ π΅πππ‘ ππππ πππ πΉππππ = 26,400 πππ
β’ ππΆπ > ππ΄πΆπ
β’ Ο2πΈπΌπ΄πΆπ
L2>
(πΉπ΄π΅)
2 [11] (10.11, p. 611)
β’ Ο2(29π₯106).052
7.52 >(67,700)
2
β’ πππ, πππ πππ > ππ, πππ πππ
The anchor chair stiffeners are suitable for the CA design.
10.0 Anchor Chair Welds
The anchor chair welds are judged suitable for the CA 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 (10β). As indicated previously, the
filler metal is known to be ER70S-X.
β’ πππ·π = π·ππ πππ πΉπππππ‘ ππππ πβπππ ππ‘πππ π = 31,500 ππ π
β’ ππ΄πΆπ = πππ₯πππ’π π΄ππβππ πΆβπππ ππππ πβπππ ππ‘πππ π
β’ ππ΄πΆπΉ = πΉπππππ‘ ππππ πΈπππππ‘ππ£π πβππππ‘ = .265"
β’ πΏπ΄πΆπΉ = πππ ππππ‘π β ππ‘πππππππ ππππ πΏππππ‘β = 10.00"
β’ πΉπ΄π΅ = π΄ππβππ π΅πππ‘ ππππ πππ πΉππππ = 26,400 πππ
β’ ππ΄πΆπ =πΉπ΄π΅
πΏπ΄πΆπΉππ΄πΆπΉ
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CSA Documentation-Calculations
Title: Carbon Adsorber Anchor-Shear Key Calculations
Note Number: 79120-A0003
Author(s): Scott Kaminski Page 18 of 21
CSA Documentation β Carbon Adsorber Anchor-Shear Key Calculations Page 18
β’ πππΆπ =(26,400)
10.00 (.265)
β’ ππ, πππ πππ > π, πππ πππ
Thus, the anchor chair welds are suitable for the CA design.
11.0 Baseplate
It is confirmed that the 1.75β thick baseplate is suitable for the CA 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. The design
baseplate thickness exceeds the minimum baseplate thickness calculated in the fabricator vessel
design calculations [1].
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, 3.3.12 and 3.3.13b in the AISC Design Guide 1 [15] with B equal to the
baseplate side dimension, m conservatively measured from the edge of the baseplate to the
centerline of the nearest beam flange (~7.25β) and Y assumed to be 2β. The total compressive
force is 81,517 lbs from the Full Vessel PROFIS Design Report (Appendix A).
β’ ππ΅ππ΄ = π·ππ πππ π΅ππ πππππ‘π ππ‘πππ π
β’ ππ΅ππ = πππ₯πππ’π π΅ππ πππππ‘π π΅ππππππ ππ‘πππ π
β’ ππ΅ππ΅ = πππ₯πππ’π π΅ππ πππππ‘π π΅ππππππ ππ‘πππ π
β’ ππ΅ππ = π΅ππ πππππ‘π ππππ‘πππ ππππ’ππ’π
β’ ππ΅π = π΅ππ πππππ‘π ππππ‘β = 17.5"
β’ πΏπ΅π = π΅ππ πππππ‘π πΆπππ‘ππππ£ππππ πΏππππ‘β = 43.5"
β’ ππ΅π = π΅ππ πππππ‘π πβππππππ π = 1.75"
β’ π΅ = 87"
β’ π = 2"
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CSA Documentation-Calculations
Title: Carbon Adsorber Anchor-Shear Key Calculations
Note Number: 79120-A0003
Author(s): Scott Kaminski Page 19 of 21
CSA Documentation β Carbon Adsorber Anchor-Shear Key Calculations Page 19
β’ π = 7.25"
β’ ππ΅ππ =1
6ππ΅πππ΅π
2 = 89.32 ππ3
β’ πΉππΎ = πΆππππππ‘πππ‘ππ πΏπππ =67,700
2= 33,850 πππ
β’ πΉπΆ = πππ‘ππ πΆππππππ π ππ£π πΉππππ = 81,517 πππ
β’ πΉπ = π΅ππ πππππ‘π πππ πππππ ππ‘πππππ‘β = 36,000 ππ π
β’ Ξ©π = πππππ‘π¦ πΉπππ‘ππ πππ πΉπππ₯π’ππ = 1.67 [14](F1, 16.1-46)
β’ ππ΅ππ =(πΉππΎ)(πΏπ΅π)
ππ΅ππ
β’ ππ΅ππ =(33850)(43.5)
89.32
β’ ππ΅ππ = 16,486 ππ π
β’ ππ΅ππ΅ =4(πΉπΆ)(πβ
π
2)
(π΅)ππ΅π2
β’ ππ΅ππ΅ =4(81,517)(7.25β1)
(87)1.752
β’ ππ΅ππ΅ = 7,649 ππ π
β’ ππ΅ππ΄ > ππ΅π
β’ ππ΅ππ΄ > βππ΄πΆπ΅2 + ππ΄πΆπ
2
β’ 36,000
1.67> β(16,486)2 + (7,649)2
β’ ππ, πππ πππ > ππ, πππ πππ
The baseplate bearing (2,920 psi) and tear out stresses (1,888 psi) are acceptable by inspection.
Thus, the baseplate is suitable for the CA design.
12.0 Associated Analyses / Documents
Pipe stress reports related to this report are listed below.
Approved: 5/11/2017; E-Sign ID : 342658; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |
CSA Documentation-Calculations
Title: Carbon Adsorber Anchor-Shear Key Calculations
Note Number: 79120-A0003
Author(s): Scott Kaminski Page 20 of 21
CSA Documentation β Carbon Adsorber Anchor-Shear Key Calculations Page 20
79120-P0001 CP1 MCS Helium Piping (79120-PS-104) Stress
Analysis
79120-P0009 CP2 MCS Helium Piping (79120-PS-204) Stress
Analysis
13.0 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
the shear key-baseplate connection. The anchor chair and baseplate are not overstressed. Thus,
the CA anchor and shear key design is acceptable.
14.0 References
[1] Main Oil Carbon Vessel [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 β 3rd
Ed, p. 400, 781
[12] Design of Welded Structures, Blodgett, 1966
[13] Structural Welding CodeβSteel, 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 : 342658; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |
CSA Documentation-Calculations
Title: Carbon Adsorber Anchor-Shear Key Calculations
Note Number: 79120-A0003
Author(s): Scott Kaminski Page 21 of 21
CSA Documentation β Carbon Adsorber Anchor-Shear Key Calculations Page 21
Appendix A β 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 CA VESSEL FINAL (5-1-17)
PROFIS Design Report CA VESSEL FINAL (5-1-17)
PROFIS Project CA LEG FINAL (5-1-17)
PROFIS Design Report CA PI B7 Op A (5-1-17)
PROFIS Design Report CA PI B7 Op B (5-1-17)
PROFIS Design Report CA 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 : 342658; signed by: DCG: T. Fuell; Re. 1: C. Dubbe; Re. 2: M. Bevins |