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Campus: UC Berkeley
Building Name: Hearst Memorial Gymnasium
CAAN ID: 1372
Auxiliary Building ID: N/A Date: 7/11/2019
FORM 1
CERTIFICATE OF SEISMIC PERFORMANCE LEVEL
☒ UC-Designed & Constructed Facility
☐ Campus-Acquired or Leased Facility
BUILDING DATA
Building Name: Hearst Memorial Gymnasium
Address: Core Campus, Berkeley, 94720
Site location coordinates: Latitude 37.869167 o Longitudinal -122.256667 o
UCOP SEISMIC PERFORMANCE LEVEL (OR “RATING”): V
ASCE 41-17 Model Building Type:
a. Longitudinal Direction: C2: Reinforced Concrete Shear Walls
b. Transverse Direction: C2: Reinforced Concrete Shear Walls
Gross Square Footage: 124,703 sq. ft. (UCB Records)
Number of stories above grade: 2
Number of basement stories below grade: 1 (partial basement)
Year Original Building was Constructed: 1926 (assumed) 1927 (UCB Records)Original Building Design Code & Year: Prior to Building Code
Retrofit Building Design Code & Year (if applicable): Expansion in 1957 (1955 UBC assumed)
SITE INFORMATION
Site Class: C Basis: Geologic Hazards and Site Classification, GeoMatrix Plate 2
Geologic Hazards:
Fault Rupture: No Basis: Earthquake Zones of Required Investigation- Oakland West Quadrangle
https://maps.conservation.ca.gov/cgs/informationwarehouse/regulatorymaps/
Liquefaction: No Basis: Earthquake Zones of Required Investigation- Oakland West Quadrangle
https://maps.conservation.ca.gov/cgs/informationwarehouse/regulatorymaps/
Landslide: No Basis: Earthquake Zones of Required Investigation- Oakland West Quadrangle
https://maps.conservation.ca.gov/cgs/informationwarehouse/regulatorymaps/
ATTACHMENT
Seismic Evaluation: Hearst Memorial Gymnasium, University of California, Berkeley, Rutherford +
Chekene, October 29, 2018, ASCE 41-13.
Campus: UC Berkeley
Building Name: Hearst Memorial Gymnasium
CAAN ID: 1372
Auxiliary Building ID: N/A Date: 7/11/2019
CERTIFICATION & PRESUMPTIVE RATING VERIFICATION STATEMENT
I, Bret Lizundia, a California-licensed structural engineer, am responsible for the completion of this
certificate, and I have no ownership interest in the property identified above. My scope of review to
support the completion of this certificate included both of the following (“No” responses must include an
explanation):
a) the review of structural drawings indicating that they are as-built or record drawings, or that they
otherwise are the basis for the construction of the building: � Yes ☐ No
b) visiting the building to verify the observable existing conditions are reasonably consistent with those
shown on the structural drawings: � Yes ☐ No
Based on my review, I have verified that the UCOP Seismic Performance Level (SPL) is presumptively
permitted by the following UC Seismic Program Guidebook provision (choose one of the following):
☐ 1) Contract documents indicate that the original design and construction of the aforementioned
building is in accordance with the benchmark design code year (or later) building code seismic design
provisions for UBC or IBC listed in Table 1 below.
� 2) The existing SPL rating is based on an acceptable basis of seismic evaluation completed in 2006 or
later. Note: Based on an ASCE 41-17 Tier 3 nonlinear analysis, the October 29, 2018 report assigns a
Seismic Performance Rating of Level V to the existing structure.
☐ 3) Contract documents indicate that a comprehensive1 building seismic retrofit design was fully-
constructed with an engineered design based on the 1997 UBC/1998 or later CBC, and (choose one of the
following):
☐ the retrofit project was completed by the UC campus. Further, the design was based on ground
motion parameters, at a minimum, corresponding to BSE-1E (or BSE-R) and BSE-2E (or BSE-C) as
defined in ASCE 41, or the full design basis ground motion required in the 1997 UBC/1998 CBC or later
for EXISTING buildings, and is presumptively assigned an SPL rating of IV.
☐ the retrofit project was completed by the UC campus. Further, the design was based on ground
motion parameters, at a minimum, corresponding to BSE-1 (or BSE-1N) and BSE-2 (or BSE-2N) as
defined in ASCE 41, or the full design basis ground motion required in the 1997 UBC/1998 or later CBC
for NEW buildings, and is presumptively assigned an SPL rating of III.
☐ the retrofit project was not completed by the UC campus following UC policies, and is presumptively
assigned an SPL rating of IV.
1 A comprehensive retrofit addresses the entire building structural system as indicated by the associated seismic evaluation, as opposed to
addressing selective portions of the structural system.
Campus: UC Berkeley
Building Name: Hearst Memorial Gymnasium
CAAN ID: 1372
Auxiliary Building ID: N/A Date: 7/11/2019
07-15-19
CERTIFICATION SIGNATURE
Bret Lizundia Executive Principal
AFFIX SEAL HERE
Print Name Title
S3950
12/31/2020
CA Professional Registration No. License Expiration Date
Signature Date
Rutherford + Chekene
375 Beale Street, Suite 310
San Francisco, CA 94105-2066
415-568-4400
Firm Name, Phone Number, and Address
07-15-2019
Campus: UC Berkeley
Building Name: Hearst Memorial Gymnasium
CAAN ID: 1372
Auxiliary Building ID: N/A Date: 7/11/2019
Table 1: Benchmark Building Codes and Standards
UBC IBC
Wood frame, wood shear panels (Types W1 and W2) 1976 2000
Wood frame, wood shear panels (Type W1a) 1976 2000
Steel moment-resisting frame (Types S1 and S1a) 1997 2000
Steel concentrically braced frame (Types S2 and S2a) 1997 2000
Steel eccentrically braced frame (Types S2 and S2a) 1988g 2000
Buckling-restrained braced frame (Types S2 and S2a) f 2006
Metal building frames (Type S3) f 2000
Steel frame with concrete shear walls (Type S4) 1994 2000
Steel frame with URM infill (Types S5 and S5a) f 2000
Steel plate shear wall (Type S6) f 2006
Cold-formed steel light-frame construction—shear wall system (Type CFS1) 1997h 2000
Cold-formed steel light-frame construction—strap-braced wall system (Type CFS2) f 2003
Reinforced concrete moment-resisting frame (Type C1)i 1994 2000
Reinforced concrete shear walls (Types C2 and C2a) 1994 2000
Concrete frame with URM infill (Types C3 and C3a) f f
Tilt-up concrete (Types PC1 and PC1a) 1997 2000
Precast concrete frame (Types PC2 and PC2a) f 2000
Reinforced masonry (Type RM1) 1997 2000
Reinforced masonry (Type RM2) 1994 2000
Unreinforced masonry (Type URM) f f
Unreinforced masonry (Type URMa) f f
Seismic isolation or passive dissipation 1991 2000
Note: UBC = Uniform Building Code . IBC = International Building Code .a Building type refers to one of the common building types defined in Table 3-1 of ASCE 41-17.b Buildings on hillside sites shall not be considered Benchmark Buildings.c not usedd not usede not usedf No benchmark year; buildings shall be evaluated in accordance with Section III.J.
h Cold-formed steel shear walls with wood structural panels only.i Flat slab concrete moment frames shall not be considered Benchmark Buildings.
Building Seismic Design Provisions
g Steel eccentrically braced frames with links adjacent to columns shall comply with the 1994 UBC Emergency Provisions, published September/October
1994, or subsequent requirements.
Building Typea,b
Note: This table has been adapted from ASCE 41-17 Table 3-2. Benchmark Building Codes and Standards for Life Safety Structural Performed at BSE-1E.
Seismic Evaluation of
Hearst Memorial Gymnasium University of California, Berkeley
Final Report
29 October 2018
Prepared by:
Rutherford + Chekene
375 Beale Street, Suite 310, San Francisco, CA 94105
415-568-4400
Seismic Evaluation of
Hearst Memorial Gymnasium University of California, Berkeley
Prepared by:
RUTHERFORD + CHEKENE
29 October 2018
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page i
EXECUTIVE SUMMARY
The Hearst Memorial Gymnasium is rated “POOR” per the 1997 Campus-wide Seismic
Assessment Program (POOR is equivalent to Expected Seismic Performance Level V in UCOP’s
current Seismic Safety policy). . This rating was confirmed by a seismic evaluation in 2005 by
Rutherford + Chekene.
The purpose of this Study was to update and refresh the 2005 Study by performing a more
detailed nonlinear analysis of the building and to propose a cost effective retrofit solution to
improve the building’s expected seismic performance to UCOP Seismic Performance Level III.
Following is a summary of the critical structural deficiencies identified by this study, and the
proposed retrofit: (A detailed presentation of structural assessment results and proposed retrofit
measures are provided in the body of the report).
1. Shear walls at many locations do not extend down to the foundation. These discontinuous
walls cause unacceptable overstressed conditions at floor diaphragms and at columns, and
floor beams directly below the discontinuous walls.
Proposed retrofit measure: Concrete walls are added at strategic locations along the lines
of discontinuous walls; concrete collectors are added to distribute diaphragm forces to the
concrete walls; columns’ axial load capacity and ductility are improved by wrapping them
with composite fiber; beams’ shear capacity is improved with use of composite fiber.
2. Interior gravity columns between Ground Level and Main Level have inadequate capacity
to endure lateral movements during a major earthquake.
Proposed retrofit measure: Columns capacity will be improved by wrapping them with
composite fiber.
3. Roof skylights weaken the roof diaphragm at several locations. The Main Level diaphragm
and floor beams around the main pool area are also critically overstressed.
Proposed retrofit measure: Several options are provided for roof diaphragm strengthening
as discussed in the body of the report. Main Level diaphragm and connecting beams to
pool walls are strengthened using composite fibers.
4. There is an inadequate connection of perimeter concrete walls along the east and
central/south areas of the building to the foundation.
Proposed retrofit measure: New concrete foundation ties are provided to connect the
existing walls to existing footings.
5. At the Main Level, the historic bleachers and planters will overstress the supporting floor
structure in a major seismic event.
Proposed retrofit measure: Beams’ capacity is improved with use of composite fiber.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page ii
6. Mitigation of Corrosion: In 1994, corrosion in selected areas under the Main and Ground
Levels, surrounding the three pools, was repaired. Similar repair will be implemented in
the remaining areas where repair was not performed in 1994, most importantly the pool
filter room where extensive corrosion of beams and columns are observed. Enclosed spaces
around the pools will be properly ventilated to prevent stagnation of chloride vapor in the
building.
7. Nonstructural Deficiencies: The Hearst Gymnasium possesses several instances of applied
and freestanding decorative elements that are non-structural, such as column capitals,
cornices, balustrades, and statuary. A high-level visual inspection of these historically
significant elements suggests that many of them are delaminating from the primary
structure or exhibit corrosion to the extent that they pose hazardous conditions. A
comprehensive survey and strategy of remedying these decorative non-structural elements
was beyond the breath of the seismic study, however, identifying and addressing these
elements is recommended in order to arrest exposure of structural elements such as steel
reinforcement where the applied items have failed, and to mitigate hazards where these
deteriorating items are proximate to the public. This work is recommended to occur in
advance and independent of a future seismic project. The survey should comprise close
visual and physical inspection (sounding/tapping) of the applied and freestanding elements
via a lift, and subsequent documentation of repairs, stabilization strategies, or else
reproduction of character-defining elements.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page iii
TABLE OF CONTENTS
EXECUTIVE SUMMARY ........................................................................................................... i
TABLE OF CONTENTS ............................................................................................................ iii
INTRODUCTION......................................................................................................................... 1
BUILDING DESCRIPTION ....................................................................................................... 2
Location and General Description .............................................................................................. 2
Structural System ........................................................................................................................ 3
Existing Material Properties: ...................................................................................................... 5
SEISMIC EVALUATION OF STRUCTURAL ELEMENTS ................................................. 6
Assessment/Retrofit Criteria ....................................................................................................... 6
Seismic Ground Motion Spectra ................................................................................................. 8
Analysis Modeling Assumptions ................................................................................................ 9
Key Building Data .................................................................................................................... 10
Analysis Results ........................................................................................................................ 12
Summary of Structural Deficiencies ......................................................................................... 29
CONCEPTUAL SEISMIC STRENGTHENING RECOMMENDATIONS FOR
STRUCTURAL ELEMENT ...................................................................................................... 31
Analysis Of The Retrofitted Structure ...................................................................................... 32
Additional Analysis In Response to SRC Comments ............................................................... 34
Strengthening Recommendations ............................................................................................. 35
APPENDICES
Structural Appendix 1 – Material Testing and Site Investigation Report from 2005
Structural Appendix 2 – Geotechnical Information Gathered from Surrounding Sites
Structural Appendix 3 – Memo to Seismic Review Committee
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 1
INTRODUCTION
Rutherford+ Chekene (R+C), as a consultant to Fernau & Hartman Architects, studied the
seismic behavior of the Hearst Memorial Gymnasium and proposed a cost effective retrofit
solution to improve the building’s expected seismic performance to UCOP Seismic Performance
Level III.
This Study is part of a larger study led by Fernau & Hartman Architects to identify and address
facility’s deficiencies (seismic, code, access, infrastructure) and to propose opportunities for
improvements to the program space to accommodate future needs for enrollment/ teaching/
academic space, and redevelopment opportunities to accommodate different occupancies
(theatre, dance, wellness center, etc.).
The building is primarily used as a gymnasium. It contains three pools and also houses offices
for various organizations on the campus. The building rating is “POOR” per the 1997 Campus-
wide Seismic Assessment Program, which was confirmed by the R+C’s 2005 seismic study.
The purpose of this study is to refresh 2005 study, that used linear dynamic procedures, by
modeling the building nonlinearly in PERFORM 3D and performing a pushover analysis. The
main objective of the nonlinear model is to capture the behavior of wall piers between Ground
and Main Levels and the effect of discontinuous walls on the Main Level diaphragm.
Seismic Evaluation of Hearst Memorial
University of California, Berkeley
BUILDING DESCRIPTION
LOCATION AND GENERAL DESCRIPTION
The Hearst Memorial Gymnasium is a two
building, constructed in circa 1926, is a historic structure listed on the national register. The
building is located on a sloping site with grade sloping down to
situated along Bancroft Way, is neighboring Barrows Hall to the northwest and the Music
Building to the northeast. An aerial view of the site is included in
From an aerial view, the building is composed of a series
surround a central outdoor pool on three sides (south, east and west). The overall dimensions of
the building are 318 feet by 222 feet. The roof is multi
gymnasiums at approximately 39 feet,
approximately 20 feet above the Ground
Level, primarily houses the gymnasiums and recreation rooms. The basement is generally 12’6”
below the Ground Level. The building houses three pools, the main pool is located on the Main
Level and the east and west pools are located on the Ground
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report
BUILDING DESCRIPTION
ESCRIPTION
The Hearst Memorial Gymnasium is a two-story concrete building with a partial basement. The
building, constructed in circa 1926, is a historic structure listed on the national register. The
building is located on a sloping site with grade sloping down towards the west. The building
situated along Bancroft Way, is neighboring Barrows Hall to the northwest and the Music
Building to the northeast. An aerial view of the site is included in Figure S-1.
From an aerial view, the building is composed of a series of rectangular shaped sections that
surround a central outdoor pool on three sides (south, east and west). The overall dimensions of
the building are 318 feet by 222 feet. The roof is multi-level with highest level over the main
ely 39 feet, the intermediate level 29 feet, and the low roof
approximately 20 feet above the Ground Level. The Main Level at 11’6” above the Ground
, primarily houses the gymnasiums and recreation rooms. The basement is generally 12’6”
. The building houses three pools, the main pool is located on the Main
and the east and west pools are located on the Ground Level.
Figure S-1: Site Location
29 October 2018
Page 2
story concrete building with a partial basement. The
building, constructed in circa 1926, is a historic structure listed on the national register. The
wards the west. The building
situated along Bancroft Way, is neighboring Barrows Hall to the northwest and the Music
of rectangular shaped sections that
surround a central outdoor pool on three sides (south, east and west). The overall dimensions of
level with highest level over the main
the intermediate level 29 feet, and the low roof
at 11’6” above the Ground
, primarily houses the gymnasiums and recreation rooms. The basement is generally 12’6”
. The building houses three pools, the main pool is located on the Main
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 3
STRUCTURAL SYSTEM
Typical floor and roof structure consists of reinforced concrete slab and beam/girder system
spanning to reinforced concrete columns and walls. Typical foundation is comprised of
reinforced concrete shallow spread footings under the columns and wall pilasters. Concrete slab
diaphragms spanning to reinforced concrete shear walls are the primary lateral force resisting
system of the building. Following is more detail description of various building features:
Exterior and Interior Walls: Reinforced concrete walls constitute the majority of exterior façade
of the building. Concrete walls are typically 12” thick and they are reinforced with 3/8” square
bars in horizontal and vertical directions. Many of the interior concrete walls are discontinuous
below the Main Level and, except for few walls, the remaining interior walls are discontinuous
below the Ground Level. Also, one of the main exterior walls on the west façade of the main
gymnasium is discontinuous below Ground Level.
Columns: Typical column is reinforced with square bars as longitudinal reinforcement and ¼”
diameter ties at various spacing. Ties do not have 135 degree hook at corners. Typical columns
vertical bars are doweled into foundation.
Roof over Main Gymnasium: Roof system is comprised of 3” to 3.5” thick concrete slabs
spanning to beams that in turn span to concrete girders. In the three main gymnasiums, grand
roof girders (approximately 24”x 48” deep) spanning in east-west direction define the boundaries
of series of skylights along the east and west supporting walls. These skylight openings limit the
connection between the roof diaphragm and the supporting walls.
Main and Ground Level: Typical floor is comprised of 4” to 4.5” thick concrete slabs that span
to beams and girders. The main pool, the two courtyards, the two ramps and the light wells
south of main pool create openings in the floor diaphragm. Concrete walls below Ground Level
enclose the courtyard openings.
Ramps: Two ramp structures between the main gymnasiums serve to connect the Main Level to
the Ground Level. Ramp structure is comprised of a 4” thick slab spanning to beams that are
supported by interior columns and edge walls.
Pools: The building houses three pools. Typical pool floor is supported by concrete slab
spanning to interior beams and columns. Slab thickness varies with pool depth. Reinforced
concrete perimeter pool walls extend to the ground and are founded on continuous strip footings.
Top of pool walls are connected to the floor with series of short concrete link beams. The Main
Level slab adjacent the pool is resting on and supported by the link beams, however the link
beams are isolated from floor slab that prevents transfer of shear forces to the pool walls.
Bleachers and Tree Boxes: Concrete bleachers and planter boxes are located on the south, east
and west sides of the main pool. These structures are reinforced concrete components that are
supported by the Main Level beams and columns below.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 4
Filter Rooms: Filter rooms are located underneath the west courtyard, below the Ground Level.
The filter rooms are comprised of reinforced concrete walls that separate the container cells. The
cells are open at top and the walls do not extend up to the Ground Level. The filter room
concrete is severely deteriorated and needs to be replaced.
Nonstructural Ornamentations: Numerous sculptures and decorative motifs adorn the exterior
walls of the building. The method of attachment of these sculptures to the backing concrete
walls is not known. Also, many large urns decorate the outside façade of the building at ground
level. In 1980 the original concrete urns were replaced with fiberglass replicas and anchored to
their bases.
Masonry Walls in the Basement: In 1957, as part of a basement area expansion, reinforced
masonry walls were added to enclose the new basement spaces. Typical masonry partition wall,
supported by continuous spread footing, is constructed tight to the existing columns and soffit of
overhead beams. Masonry walls have minimal attachment only at top to the existing columns.
Alterations to the Building: During the past 50 years, the building has undergone several
alterations/improvement projects. Those with most notable impact to the structure include:
• In 1957, the basement area was partially expanded. The soil under the Ground Level was
excavated without a major impact to the existing footings.
• In 1980, the ornamental concrete urns were replaced with lighter replicas.
• In 1981, a survey of the building was conducted to define the extent of corrosion.
No remediation work was performed.
• In 1996, corrosion repairs were made in some of the spaces immediately adjacent to the
pools
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 5
EXISTING MATERIAL PROPERTIES:
A material testing and site investigation program was implemented as part of 2005 Study. The
material testing and site investigation report is included in Structural Appendix 1.
Following is the summary of results:
1. The in-situ concrete compressive strength (f’c) based on cores removed from the
building were in the following range:
• Walls: 1870 psi to 3810 psi, with f’c (average) = 2778 psi
Following values are used in the analysis:
f’c expected = 2800 psi
f’c lower bound = 2150 ps
• Slabs and beams: 2000 psi to 3940 psi, with f’c (average) = 3214 psi.
Following values are used in the analysis:
f’c expected = 3200 psi
f’c lower bound = 2500 psi
2. Concrete unit weight measurement indicate that concrete is normal weight.
3. Reinforcing steel tensile test indicate yield strength in the range of 41,620 psi to
47,490 psi and ultimate strength in the range of 61,000 psi to 70,660 psi.
Following values are used in the analysis:
fy expected = 45.5 ksi
fy lower bound = 43 ksi
4. Chloride Content at 4 locations was tested. The results indicate that the concrete within
0.5 inch of surface contained sufficient chloride to cause corrosion of reinforcing steel.
However, the chloride content dropped significantly beyond the 0.5-inch depth such
that at 1-inch depth the concentration was below the threshold to initiate corrosion. This
indicates that as long as the concrete cover is intact and undamaged, the reinforcing
steel is most likely not corroded.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 6
SEISMIC EVALUATION OF STRUCTURAL ELEMENTS
ASSESSMENT/RETROFIT CRITERIA
As stated in the project RFQ (Project # 18258A), the seismic performance objective is to achieve
UCOP Seismic Performance Level III (GOOD), i.e., Life Safety (S-3) in BSE-1N and Collapse
Prevention (S-5) in BSE-2N per ASCE 41-13. Please refer to Figure S-3.
It is important to note, that due to the project site’s very high seismicity, there are no significant
difference between the seismic performance requirement of California Existing Building Code
for Existing State Owned Buildings (Figure S-2) and UC project objective of meeting UCOP
Seismic Performance Level III (Figure S-3). The main reason is that there are no significant
difference between the BSE-R/BSE-C and the BSE-1N/BSE-2N seismic demands.
According to 2016 California Building Code - Table 1604.5, the Hearst Memorial Gymnasium is
a Risk Category III building. It should be noted that both the California Existing Building Code
(CEBC 2016) and the University of California Seismic Safety Policy (UCOP 2017) require same
seismic performance for risk categories I, II, and III existing buildings.
The 2016 California Historic Building Code provides alternative regulations with the intention of
encouraging “preservation of historic buildings with the objective of preventing partial or total
structural collapse such that the overall risk to life-threatening injury as a result of structural
collapse is low.” Given the nature of the seismic deficiencies of the Hearst Memorial
Gymnasium as identified by this Study, the retrofit recommendations proposed by this Study are
in alignment with the preservation goals and performance objectives of the California Historic
Building Code.
Figure S-2: Table 317.5 – 2016 California Existing Building Code (CBC Part 10)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 7
`
Figure S-3: Expected Seismic Performance Levels
from University of California Seismic Safety Policy
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 8
SEISMIC GROUND MOTION SPECTRA
The building site class is assumed to be C, based on the geotechnical information gathered from
the surrounding sites. Please refer to Structural Appendix 2.
The comparison of ASCE 41-13 mapped values and spectra taken from Final Report titled
“2015 Update to the site-specific Seismic Hazard Analyses and Development of Seismic Design
Ground Motions” is shown in Figure S-4. It should be noted that the period of the building is
about 0.3 sec in both directions. The results are based on ASCE 41-13 mapped spectra.
Figure S-2: Hearst Memorial Gymnasium – Site Spectra
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 9
ANALYSIS MODELING ASSUMPTIONS
The following modeling assumptions are made:
− Walls between Ground Level and Main Level are modeled inelastically with fiber
elements.
− Walls between roof and Main Level are modeled with elastic frame or shell elements.
These walls are moderately stressed and significant nonlinearity is not expected.
− Walls at the basement level are modeled with elastic shell element, except at locations
where nonlinear behavior is expected such as the wall segments acting as link elements
between selective walls that extend above Ground Level.
− The coupling beams are modeled as frame elements with nonlinear hinges for shear and
flexure.
− The pool walls are modeled as elastic shell elements. The pool is attached to the Main
Level diaphragm through link beams at the perimeter. The link beams are modeled as
frame element with nonlinear shear/flexural hinge and linear axial properties.
− The Main Level diaphragms are modeled as linear elements.
− Roofs are modeled as rigid diaphragm. We do not expect that capturing the nonlinearity
of roof diaphragm will have an impact on our understanding of building behavior. To
verify this assumption, additional analysis was performed with the high roofs modeled as
semi-rigid shell elements.
− Columns under discontinuous shear walls are modeled as elastic frame elements. We
evaluated these columns using the story drift + forces imposed from discontinuous walls
above. Some of the columns were further evaluated with inelastic hinge.
− The initial assumption was not to model foundation flexibility - the wall shell elements
were fixed at base at the foundation locations. Further assessment of structure’s
performance was performed by including the foundation springs.
− The seismic base is assumed to be at the Ground Level and no mass is assigned to the
Ground Level diaphragm.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 10
KEY BUILDING DATA
The seismic weight of the building is calculated as follows:
Table S-1: Building Tributary Seismic Weight Breakdown
Level
Weight
(kips)
Story Height
(ft)
Roof 10,091 16.2 to 23.25
Main Level 10,355 11.5
Ground Level (not included in the model) 10,191 3.5 to 14
Total (with Ground Level) 30,637 max 48.75
Total (without Ground Level) 20,446 27.7 to 34.75
The fundamental periods of the structure are:
T1 = 0.29 sec (in north-south direction)
T2 = 0.27 sec (in east-west direction)
Figure S-3: PERFORM Model
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 11
Figure S-4: Grid Lines
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 12
ANALYSIS RESULTS
The pushover curve and target displacements for north-south direction are as follows:
Figure S-5: Pushover Curve in North-South Direction
Target displacements in N-S direction:
BSE-1N = 2.39 in
BSE-2N = 4.53 in
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 13
The pushover curve and target displacements for east-west direction are as follows:
Figure S-6: Pushover Curve in East-West Direction
Target displacements in E-W direction:
BSE-1N = 2.52 in
BSE-2N = 4.50 in
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 14
Results of pushover analysis are summarized in the following graphical outputs of Perform
model.
Figure S-7: Deformed Shape in North-South Direction at BSE-1N Showing the Status of
Wall Shears with Respect to Life-Safety Acceptance Limit (Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 15
Figure S-8: Deformed Shape in North-South Direction at BSE-2N Showing the Status of
Wall Shears with Respect to Collapse Prevention Acceptance Limit (Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 16
Figure S-9: Deformed Shape in North-South Direction at BSE-2N Showing the Status of
Coupling Beam Shears with respect to Collapse Prevention Acceptance Limit
(Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 17
Figure S-10: Deformed Shape at Line 2 in North-South Direction at BSE-2N Showing the
Status of Wall Shears with Respect to Collapse Prevention Acceptance Limit
(Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 18
Figure S-11: Deformed Shape at line 6 in North-South Direction at BSE-2N Showing the
Status of Wall Shears with Respect to Collapse Prevention Acceptance Limit
(Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 19
Figure S-12: Deformed Shape at Line 9 in North-South Direction at BSE-2N Showing the
Status of Wall Shears with Respect to Collapse Prevention Acceptance Limit
(Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 20
Figure S-13: Deformed Shape at Line 10 in North-South Direction at BSE-2N Showing the
Status of Wall Shears with Respect to Collapse Prevention Acceptance Limit
(Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 21
Figure S-14: Deformed Shape at Line 13 in North-South Direction at BSE-2N Showing the
Status of Wall Shears with Respect to Collapse Prevention Acceptance Limit
(Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 22
Figure S-15: Deformed Shape at Line 17 in North-South Direction at BSE-2N Showing the
Status of Wall Shears with Respect to Collapse Prevention Acceptance Limit
(Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 23
Figure S-16: Deformed Shape in North-South Direction at BSE-2N Showing the Status of
the Shear Deformation in the Beams That Are Connected to the Pool Wall with Respect to
Collapse Prevention Acceptance Limit (Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 24
Figure S-17: Deformed Shape in East-West Direction at BSE-1N Showing the Status of
Wall Shears with Respect to Life-Safety Acceptance Limit (Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 25
Figure S-18 Deformed Shape in East-West Direction at BSE-2N Showing the Status of
Wall Shears with Respect to Collapse Prevention Acceptance Limit (Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 26
Figure S-19: Deformed Shape in East-West Direction at BSE-2N Showing the Status of
Coupling Beam Shears with Respect to Collapse Prevention Acceptance Limit
(Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 27
Figure S-20: Deformed Shape in East-West Direction at BSE-2N Showing the Status of the
Shear Deformation in the Beams That Are Connected to the Pool Wall with Respect to
Collapse Prevention Acceptance Limit (Existing Building)
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 28
Figure S-21: Seismic Deficiencies at Roof
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 29
SUMMARY OF STRUCTURAL DEFICIENCIES
1. Shear walls at many locations above the Main Level do not extend down to the foundation.
Some interior walls at the Ground Level are also discontinuous. This condition causes
unacceptable conditions in various structural components as follows:
1.1. Walls between the Ground and Main Levels experience deformations beyond
acceptable limits as shown on the above figures.
1.2. The deformation demand on columns that support the discontinuous shear walls
exceeds the column capacity as shown in Figures S-12 to S-17. Majority of these
columns are shear controlled.
1.3. Floor diaphragms adjacent to these discontinuous walls are overstressed.
2. Interior gravity columns between Ground Level and Main Level levels are shear controlled
and drift demand exceeds their drift capacity. These columns are typically located between
lines 2 and 13 (see Figure S-6).
3. Roof diaphragms at following locations are inadequate:
3.1. Diaphragms along the east and west edges of the three main gymnasiums are
weakened by the series of skylights. The roof girders spanning in east-west direction
and crossing the skylights will act as the primary component in the load path for
transferring diaphragm forces to the perimeter concrete walls. In the event of a major
earthquake in north-south direction, the roof girders are expected to experience shear
forces exceeding their capacity. Damage to these girders will jeopardize their gravity
load carrying integrity. See Figure S-23.
3.2. Roof diaphragms over the ramps lack sufficient moment capacity leading to excessive
movement due to earthquake in north-south direction.
3.3. Roof diaphragm between the western and central main gymnasiums lack enough shear
capacity to resist earthquake forces in east-west direction.
4. The Main Level diaphragm around the main pool area is overstressed due to the flow of
forces toward the two northern wings (east and west) of the building and the pool walls.
This occurs since the majority of walls in the southern regions of the building are
discontinuous below this level; their shear force is redistributed to other walls of the
building. Below this level the two northern wings and the pool walls are the stiffest
elements that attract the loads.
5. At the Main Level and Ground Level, the floor beams that are connected to the main pool
walls will be damaged due to the large diaphragm force attracted toward the pool walls.
Refer to Figures S-18 and S-22.
6. Majority of perimeter concrete walls along the east and central/south areas of the building
are supported on isolated spread footings. The connection of walls to the footings occurs
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 30
only at the columns or pilasters that are within the wall and the remaining portions of walls
over the footings are not extended to the footings. This condition will impose very high
shear demand on the columns and the pilasters that extend to the footings.
7. At the Main Level, the beams under the bleacher structures are overstressed in shear due to
the seismic overturning forces imposed by the bleachers.
8. Several Main Level beams support shear walls that are discontinuous at this level. These
beams will experience shear load exceeding their capacity due to the overturning forces
imposed by these walls. This condition occurs over the western lobby area and three other
similar locations. Failure of these elements poses a serious risk of local loss of the gravity
support for the floor and roof.
9. Spandrel beams at several locations at Main Level experience severe shear overloads. This
condition occurs mainly at walls that are discontinuous below the Main Level.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 31
CONCEPTUAL SEISMIC STRENGTHENING RECOMMENDATIONS
FOR STRUCTURAL ELEMENT
The general approach for the rehabilitation of Hearst Memorial Gymnasium to achieve a GOOD
performance rating is to mitigate / eliminate majority of the discontinuous shear wall conditions
in the building, to locally improve diaphragm deficiencies and to strengthen beams and columns
that support the discontinuous walls that remain in the building.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 32
ANALYSIS OF THE RETROFITTED STRUCTURE
The additional walls that are proposed for the retrofit have been input to the PERFORM 3D
model and analysis results are as follows:
Figure S-22: Pushover Curve in North-South Direction (Retrofitted Building)
Target displacements in N-S direction:
BSE-1N = 1.70 in
BSE-2N = 3.36 in
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 33
Figure S-23: Pushover Curve in East-West Direction (Retrofitted Building)
Target displacements in E-W direction:
BSE-1N = 1.78 in
BSE-2N = 3.36 in
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 34
ADDITIONAL ANALYSIS IN RESPONSE TO SRC COMMENTS
Rutherford+ Chekene and Fernau & Hartman Architects met with Seismic Review Committee
(SRC) on April 3rd
, 2018 to present findings of this Study. In the meeting, SRC brought up a few
issues that R+C addressed in a memo enclosed in Structural Appendix 3.
As part the response to SRC questions, although nonlinear response history analysis was not in
the scope for this Study, in order to have an approximate check on building response we have run
a nonlinear analysis of the retrofitted building with 7 pairs of scaled ground motions that were
used for Eshleman Hall. It should be noted that the fundamental structural periods for the Hearst
Gym are T1 = 0.3s vs. Eshleman Hall at T1 = 0.8s. This difference in the fundamental periods
between the two buildings will impact the scaling of ground motions for Hearst Gym, but this is
deemed acceptable for this approximate check. The results in general confirmed that retrofit
solution provides sufficient strengthening, reduction of drift.
In addition, additional analysis of high roof over the main gymnasia was conducted to verify
impact of semi rigid diaphragm behavior on the general response of the structure. The results are
summarized in Structural Appendix 3.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 35
STRENGTHENING RECOMMENDATIONS
The recommended strengthening measures are as follows:
1. Mitigation of Discontinuous Walls: Concrete walls are added at strategic locations along
the lines of discontinuous walls. The addition of new walls will also help with diaphragms,
coupling beams and columns overstress condition at many locations. These walls are
connected to floor diaphragm with tie beams. New walls are extended through Ground
Level to the basement/crawl space with new footings provided for all new walls.
1.1. Walls on line 2:
a. New concrete walls are 12” thick with 250 #/CY reinforcement
b. New walls are connected to existing walls with #4 grouted dowels at 24” on
center each way. Walls are connected to existing columns, where they intersect
with 2 rows of #5 grouted dowels at 8” on center.
c. New wall footings are 6’ wide x 4’-6” deep with #250 #/CY reinforcement.
Bottom of footing is at bottom of existing footing.
1.2. Walls on lines 6, 9, 10, 13, and 17:
a. New concrete walls are 12” thick with 250 #/CY reinforcement
b. New walls are connected to existing columns or existing walls where they
intersect with 2 rows of #5 grouted dowels at 8” on center.
c. New wall footings: 3’-6” wide x 4’-0” deep continuous strip footings each side of
the (E) footings which are interconnected outside the (E) footing as shown on
foundation plan Sketch-SK4 in Figure S-29. Assume 250 #/CY reinforcement in
footings. Refer to Sketch-SK6 in Figure S-34.
1.3. Walls on lines C&D between lines 6-9 and 10-13:
a. New concrete walls are 12” thick with 250 #/CY reinforcement
b. New walls are connected to existing columns or existing walls where they
intersect with 2 rows of #5 grouted dowels at 8” on center.
c. New wall footings: 2’-6” wide x 4’-0” deep continuous strip footings each side of
the (E) footings which are interconnected outside the (E) footing as shown on
foundation plan Sketch-SK4 in Figure S-29. Assume 250 #/CY reinforcement in
footings. Refer to Sketch-SK6 in Figure S-34.
d. Base of new footings match bottom elevation of (E) footings. (E) footings are
not undermined.
1.4. Walls on lines D between lines 2 & 6 and 13 & 17:
a. New concrete walls are 12” thick with 250 #/CY reinforcement
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 36
b. New walls are connected to existing columns or existing walls where they
intersect with 2 rows of #5 grouted dowels at 8” on center.
c. New wall footings: 2’-6” wide x 2’-6” deep continuous strip footings each side of
the (E) footings which are interconnected outside the (E) footing as shown on
foundation plan Sketch-SK4 in Figure S-29. Assume 250 #/CY reinforcement in
footings. Refer to Sketch-SK6 in Figure S-34.
d. Base of new footings match bottom elevation of (E) footings. (E) footings are
not undermined.
1.5. Walls at new stair shaft opening: (see item 8 below).
2. Addition of Collectors below the Main Level and Ground Level Diaphragms: Concrete
collectors are added to distribute diaphragm forces to the concrete walls in the building and
to alleviate local overstress conditions in diaphragms. Refer to plans for locations.
a. Typical collector is 36” wide x 18” deep with 300 #/CY reinforcing.
b. Collectors are connected to existing floor beams with two rows of #5 dowels at
12” on center.
3. Strengthening of Beams Supporting Discontinuous Walls: The beams’ shear capacity is
improved with use of composite fiber. Refer to plans for locations. Assume three layers of
glass fiber FRP on three sides of the beam.
4. Strengthening of Columns Supporting Discontinuous Walls: The columns’ axial load
capacity and ductility is improved with use of composite fiber. Refer to plans for locations.
Assume three layers of glass fiber FRP all around the column.
5. Strengthening of Main Level Diaphragm: The shear capacity of existing concrete slab at
Main Level is enhanced by addition of composite fiber to the underside of the slab. This is
required at local areas adjacent the Main Pool. Refer to Main Level plan Sketch-SK2 in
Figure S-27 for locations. Assume three layers of glass fiber FRP below the floor
slab/beam.
6. Strengthening of Roof Diaphragm and Girders over the Main Gymnasia: Four schemes are
presented for strengthening of roof diaphragms at East and West edges of the three Main
Gymnasia. Refer to Roof plan Sketch-SK1 in Figure S-26.
6.1. Scheme-1 involves adding diagonal steel bracing members within the skylight
openings. Refer to Roof plan Sketch-SK1 in Figure S-26 and Sketch-SK5A in Figure
S-30.
a. Add 8” thick concrete slab below (E) roof slab, as shown on plan, with 200#/CY
rebar. Slab is connected to (E) beams at each side with dowels at 8” on center.
b. Add MC10 channels all around the skylight opening. Channels are connected to
(E) beams and girders with grouted dowels at 8” on center.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 37
c. Add HSS 6x6x1/2 braces as shown on Roof plan Sketch-SK1 in Figure S-26.
6.2. Scheme-2 involves adding infill slab at the end skylight openings. Refer to Roof plan
Sketch-SK1 in Figure S-26 and Sketch-SK5B in Figure S-31.
a. Add 8” thick concrete slab below (E) roof slab and as infill panels, as shown on
plan, with 200#/CY rebar. Slab is connected to (E) beams at each side with
dowels at 8” on center.
6.3. Scheme-3 involves adding concrete edge beams (18” wide x 14” deep) each side of
roof girders within skylight openings. Refer to Roof plan Sketch-SK1 in Figure S-26
and Sketch-SK5C in Figure S-32.
a. Add 8” thick concrete slab below (E) roof slab, as shown on plan, with 200#/CY
rebar. Slab is connected to (E) beams at each side with dowels at 8” on center.
b. Add edge beams with 300#/CY rebar.
6.4. Scheme-4 involves locally strengthening the roof girders within the skylight openings.
Refer to Roof plan Sketch-SK1 in Figure S-26 and Sketch-SK5D in Figure S-33.
a. Add FRP reinforcement all around the roof girder at the skylight opening and on
sides of the girder outside the skylight opening.
b. Reinforce the (E) girders with 4-rows of through dowels 8” on center as shown
on Sketch-SK-5D in Figure S-33.
7. Strengthening of Roof Diaphragm over the South Area between Main Gymnasia: The roof
shear capacity is locally enhanced by adding composite fiber to underside of the slab. Refer
to Roof plan Sketch-SK1 in Figure S-26 for locations. Assume three layers of glass fiber
FRP.
8. The New floor openings for the Fire Stairs East and West: The new stairs require opening
through the Main and Ground Levels. The openings will also require removal of one
column as shown on the plans. Following is the assumed sequence of construction:
a. Add the new roof girders each side of the existing column as shown on Roof plan
Sketch-SK1 in Figure S-26. Assume 12” wide x 30” deep girders. The new
girders will connect to existing walls at each end.
b. Shore the floor and roof beams and girders that are supported by the column that
is to be removed - shore all levels.
c. Construct the new walls with footings.
d. Remove (E) floor to create floor openings.
e. New concrete walls are 10” thick with 250 #/CY reinforcement
f. New footings are 6’ wide x 3’ deep with #250 #/CY reinforcement. Existing
adjacent column footings are to remain.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 38
9. New Foundation Ties for Connection of (E) walls to (E) footings: New concrete foundation
ties are provided to connect the existing walls to existing footings.
a. See foundation plan Sketch-SK4 in Figure S-29 for locations and Sketch-SK7 in
Figure S-35.
b. Assume the new tie extent over the (E) footing as shown on foundation plan
Sketch-SK4 in Figure S-29.
c. Assume 200#/CY reinforcement
d. Tie is connected to (E) wall with two rows of #5 dowels at 12” on center and #6
dowels at 8” on center for connection to (E) footings.
10. Strengthening of Bleachers and Planter Boxes Supporting Members: a) Ground Level
beams below the bleachers and planter boxes are strengthened by adding composite fiber
reinforcing to the three exposed faces of the beams, b) New pilasters are added behind the
bleacher walls to strengthen their east-west direction seismic load transfer capacity, c)
existing steel frames require strength and stiffness enhancement. Refer to Main Level plan
Sketch-SK2 in Figure S-27 for locations.
11. Strengthening of Link Beams Connecting to the Main Pool Walls at Ground and Main
Levels: Beams are strengthened using composite fiber on the three exposed faces of the
beams. Refer to Main and Ground Level plans for locations. Assume three layers of glass
fiber FRP.
12. Mitigation of Corrosion: In 1994, corrosion in selected areas under the Main and Ground
Levels, surrounding the three pools, was repaired. The repair work involved removing the
damaged concrete, cleaning and, if needed, replacing the corroded reinforcement, and
locally adding concrete over the repair area. Based on our walkthrough observations, the
restoration work appears to be effective in stopping the corrosion. We recommend that
similar repair be implemented in the remaining areas where repair was not performed in
1994, most importantly the pool filter room where extensive corrosion of beams and
columns are observed. We also recommend that the enclosed spaces around the pools be
properly ventilated to prevent stagnation of chloride vapor in the building.
13. Nonstructural Deficiencies: The Hearst Gymnasium possesses several instances of applied
and freestanding decorative elements that are non-structural, such as column capitals,
cornices, balustrades, and statuary. A high-level visual inspection of these historically
significant elements suggests that many of them are delaminating from the primary
structure or exhibit corrosion to the extent that they pose hazardous conditions. A
comprehensive survey and strategy of remedying these decorative non-structural elements
was beyond the breath of the seismic study, however, identifying and addressing these
elements is recommended in order to arrest exposure of structural elements such as steel
reinforcement where the applied items have failed, and to mitigate hazards where these
deteriorating items are proximate to the public. This work is recommended to occur in
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 39
advance and independent of a future seismic project. The survey should comprise close
visual and physical inspection (sounding/tapping) of the applied and freestanding elements
via a lift, and subsequent documentation of repairs, stabilization strategies, or else
reproduction of character-defining elements.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 40
Figure S-24: Sketch-SK1 - Roof Plan
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 41
Figure S-25: Sketch-SK2 - Main Level Plan
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 42
Figure S-26: Sketch-SK3 - Ground Level Plan
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 43
Figure S-27: Sketch-SK4 - Foundation/Basement Plan
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 44
Figure S-28: Sketch-SK5A - High Roof Diaphragm Strengthening – Scheme 1
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 45
Figure S-29: Sketch-SK5B - High Roof Diaphragm Strengthening – Scheme 2
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 46
Figure S-30: Sketch-SK5C - High Roof Diaphragm Strengthening – Scheme 3
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 47
Figure S-31: Sketch-SK5D - High Roof Diaphragm Strengthening – Scheme 4
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 48
Figure S-32: Sketch-SK6 - Section at New Interior Wall
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley Page 49
Figure S-33: Sketch-SK7 – (N) Concrete Tie between (E) walls and (E) Footing
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley
STRUCTURAL
APPENDIX 1
Material Testing and Site Investigation Report
from 2005
Attachment A.
OF STRUCTURALAPPENDIX 1
ATTACHMENT A
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley
STRUCTURAL
APPENDIX 2
Geotechnical Information Gathered
from Surrounding Sites
SITE CLASS C perR+C GeotechnicalMemo dated9/9/2011
SITE CLASS C perR+C GeotechnicalMemo dated9/9/2011
SOIL CLASS Scper R+CGeotechnicalReport dated5/24/2002
SOIL CLASS Sc per R+CGeotechnical Report dated11/15/2000.Refer to enclosedSubsurface profiles of the site.
Seismic Evaluation of Hearst Memorial Gymnasium – Final Report 29 October 2018
University of California, Berkeley
STRUCTURAL
APPENDIX 3
Memo to Seismic Review Committee
To: UC Berkeley – Seismic Review Committee
From: Afshar Jalalian/Ayse Celikbas
Date: 07/17/2018
Project: UC Berkeley Hearst Memorial Gymnasium Seismic Study
Job #: 2018-008S
Subject: Responses to Issues discussed during SRC meeting on April 3rd, 2018
Rutherford+ Chekene met with SRC on April 3rd, 2018 to present findings of the seismic evaluation of Hearst Memorial Gymnasium. The meeting minutes are enclosed in Attachment A.
Following are the issues and responses that were brought up by SRC:
Key Point/Action Item 3: If the team elects to do a 3D nonlinear time-history dynamic analysis, it will produce more realistic drift values than calculated from 2D static pushover analysis.
R+C Response: Please note that nonlinear response history analysis was not in the scope for this Study as the University elected for R+C to do 3D nonlinear static pushover analysis. However, in order to have an approximate check on building response we have run a nonlinear analysis of the retrofitted building with 7 pairs of scaled ground motions that were used for Eshleman Hall. It should be noted that the fundamental structural periods for the Hearst Gym are T1 = 0.3s vs. Eshleman Hall at T1 = 0.8s. This difference in the fundamental periods between the two buildings will impact the scaling of ground motions for Hearst Gym, but this is deemed acceptable for this approximate check.
Tables below summarize the peak interstory drift ratios for each motion. The tables also include interstory drift ratios at BSE-2N target displacement for comparison. Please note that for the building site, BSE-2N used for the pushover analysis is similar to BSE-2E (975-year-return-period).
Figure1: Direction of faultdrift
UC Berkeley Seismic Review Committee
of fault-parallel vs. fault normal and locations of reported
07/17/2018 Page 2
fault normal and locations of reported
UC Berkeley 07/17/2018 Seismic Review Committee Page 3
Ground Motion No. 1
Interstory Drift Ratios at BSE-2N Target Displacements
of Pushover Analyses in E-W and N-S Directions Peak Interstory Drift Ratios under Ground Motion 975-CL-CLYD
Location
Ground to Main Level Main to Roof Level
Location
Ground to Main Level Main to Roof Level
E-W drift N-S drift E-W drift N-S drift
E-W drift N-S drift E-W drift N-S drift
(%) (%) (%) (%)
(%) (%) (%) (%)
A 1.13% 0.33% 1.20% 0.35%
A 1.40% 1.04% 1.38% 0.88%
C 0.62% 0.25% 0.65% 0.11%
C 1.00% 1.01% 0.79% 0.36%
E 0.60% 0.27% 0.37% 0.33%
E 1.02% 1.01% 0.48% 0.56%
G 0.57% 0.24% 0.29% 0.22%
G 1.01% 0.80% 0.41% 0.41%
I 0.44% 0.22% 0.37% 0.12%
I 0.70% 0.85% 0.52% 0.27%
Acce
lera
tio
n (
g)
Acce
lera
tio
n (
g)
UC Berkeley 07/17/2018 Seismic Review Committee Page 4
Ground Motion No. 2
Interstory Drift Ratios at BSE-2N Target Displacements
of Pushover Analyses in E-W and N-S Directions Peak Interstory Drift Ratios under Ground Motion 975-LP-LGPC
Location
Ground to Main Level Main to Roof Level
Location
Ground to Main Level Main to Roof Level
E-W drift N-S drift E-W drift N-S drift
E-W drift N-S drift E-W drift N-S drift
(%) (%) (%) (%)
(%) (%) (%) (%)
A 0.47% 0.33% 0.51% 0.35%
A 1.40% 1.04% 1.38% 0.88%
C 0.16% 0.23% 0.14% 0.10%
C 1.00% 1.01% 0.79% 0.36%
E 0.13% 0.29% 0.14% 0.30%
E 1.02% 1.01% 0.48% 0.56%
G 0.13% 0.24% 0.13% 0.22%
G 1.01% 0.80% 0.41% 0.41%
I 0.14% 0.22% 0.15% 0.12%
I 0.70% 0.85% 0.52% 0.27%
Accele
ration (
g)
Accele
ration (
g)
UC Berkeley 07/17/2018 Seismic Review Committee Page 5
Ground Motion No. 3
Interstory Drift Ratios at BSE-2N Target Displacements
of Pushover Analyses in E-W and N-S Directions Peak Interstory Drift Ratios under Ground Motion 975-MH-Hall
Location
Ground to Main Level Main to Roof Level
Location
Ground to Main Level Main to Roof Level
E-W drift N-S drift E-W drift N-S drift
E-W drift N-S drift E-W drift N-S drift
(%) (%) (%) (%)
(%) (%) (%) (%)
A 0.93% 0.27% 1.01% 0.26%
A 1.40% 1.04% 1.38% 0.88%
C 0.32% 0.25% 0.32% 0.11%
C 1.00% 1.01% 0.79% 0.36%
E 0.32% 0.37% 0.19% 0.34%
E 1.02% 1.01% 0.48% 0.56%
G 0.29% 0.24% 0.16% 0.20%
G 1.01% 0.80% 0.41% 0.41%
I 0.22% 0.21% 0.22% 0.14%
I 0.70% 0.85% 0.52% 0.27%
Accele
ration (
g)
Accele
ration (
g)
UC Berkeley 07/17/2018 Seismic Review Committee Page 6
Ground Motion No. 4
Interstory Drift Ratios at BSE-2N Target Displacements
of Pushover Analyses in E-W and N-S Directions Peak Interstory Drift Ratios under Ground Motion 975-TO-Hino
Location
Ground to Main Level Main to Roof Level
Location
Ground to Main Level Main to Roof Level
E-W drift N-S drift E-W drift N-S drift
E-W drift N-S drift E-W drift N-S drift
(%) (%) (%) (%)
(%) (%) (%) (%)
A 0.61% 0.37% 0.62% 0.37%
A 1.40% 1.04% 1.38% 0.88%
C 0.27% 0.30% 0.25% 0.11%
C 1.00% 1.01% 0.79% 0.36%
E 0.26% 0.32% 0.18% 0.34%
E 1.02% 1.01% 0.48% 0.56%
G 0.24% 0.28% 0.14% 0.23%
G 1.01% 0.80% 0.41% 0.41%
I 0.19% 0.27% 0.20% 0.16%
I 0.70% 0.85% 0.52% 0.27%
Acce
lera
tio
n (
g)
Acce
lera
tio
n (
g)
UC Berkeley 07/17/2018 Seismic Review Committee Page 7
Ground Motion No. 5
Interstory Drift Ratios at BSE-2N Target Displacements
of Pushover Analyses in E-W and N-S Directions Peak Interstory Drift Ratios under Ground Motion 975-CL-GIL6
Location
Ground to Main Level Main to Roof Level
Location
Ground to Main Level Main to Roof Level
E-W drift N-S drift E-W drift N-S drift
E-W drift N-S drift E-W drift N-S drift
(%) (%) (%) (%)
(%) (%) (%) (%)
A 1.44% 0.68% 1.49% 0.64%
A 1.40% 1.04% 1.38% 0.88%
C 0.90% 0.60% 0.88% 0.22%
C 1.00% 1.01% 0.79% 0.36%
E 0.89% 0.72% 0.55% 0.51%
E 1.02% 1.01% 0.48% 0.56%
G 0.82% 0.48% 0.40% 0.32%
G 1.01% 0.80% 0.41% 0.41%
I 0.71% 0.44% 0.55% 0.20%
I 0.70% 0.85% 0.52% 0.27%
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UC Berkeley 07/17/2018 Seismic Review Committee Page 8
Ground Motion No. 6
Interstory Drift Ratios at BSE-2N Target Displacements
of Pushover Analyses in E-W and N-S Directions Peak Interstory Drift Ratios under Ground Motion 975-LP-COR
Location
Ground to Main Level Main to Roof Level
Location
Ground to Main Level Main to Roof Level
E-W drift N-S drift E-W drift N-S drift
E-W drift N-S drift E-W drift N-S drift
(%) (%) (%) (%)
(%) (%) (%) (%)
A 0.46% 0.63% 0.54% 0.64%
A 1.40% 1.04% 1.38% 0.88%
C 0.18% 0.57% 0.17% 0.20%
C 1.00% 1.01% 0.79% 0.36%
E 0.17% 0.68% 0.17% 0.54%
E 1.02% 1.01% 0.48% 0.56%
G 0.15% 0.48% 0.14% 0.35%
G 1.01% 0.80% 0.41% 0.41%
I 0.13% 0.42% 0.13% 0.21%
I 0.70% 0.85% 0.52% 0.27%
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UC Berkeley 07/17/2018 Seismic Review Committee Page 9
Ground Motion No. 7
Interstory Drift Ratios at BSE-2N Target Displacements
of Pushover Analyses in E-W and N-S Directions Peak Interstory Drift Ratios under Ground Motion 975-MH-ANDD
Location
Ground to Main Level Main to Roof Level
Location
Ground to Main Level Main to Roof Level
E-W drift N-S drift E-W drift N-S drift
E-W drift N-S drift E-W drift N-S drift
(%) (%) (%) (%)
(%) (%) (%) (%)
A 0.86% 0.52% 0.91% 0.51%
A 1.40% 1.04% 1.38% 0.88%
C 0.26% 0.46% 0.29% 0.19%
C 1.00% 1.01% 0.79% 0.36%
E 0.25% 0.50% 0.20% 0.43%
E 1.02% 1.01% 0.48% 0.56%
G 0.24% 0.31% 0.18% 0.25%
G 1.01% 0.80% 0.41% 0.41%
I 0.19% 0.32% 0.20% 0.15%
I 0.70% 0.85% 0.52% 0.27%
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Key point/Action Item 4: The committee diaphragm as a combination of semi
R+C Response: To investigate the effect of roof diaphragm modeling approach, a comparative study is conducted between models withdiaphragms. Figure 2 illustratesbuilding. Elastic shell and beam elements are used to model the roof diaphragms and girders.
Figure 2: Semi
Figures 3 and 4 show a comparison of the global pushover results between the models with different roof diaphragm models. As can be seen in the figures, the roof diaphragm modeling approach has little impact on the pushover response of the building.
UC Berkeley Seismic Review Committee
The committee suggested the team look at modeling the roof diaphragm as a combination of semi-rigid and rigid to acknowledge the skylights.
To investigate the effect of roof diaphragm modeling approach, a comparative study is conducted between models with semi-rigid and rigid roof
Figure 2 illustrates the semi-rigid roof diaphragms on the south side of the building. Elastic shell and beam elements are used to model the roof diaphragms and
Figure 2: Semi-rigid roof diaphragm model
a comparison of the global pushover results between the models with different roof diaphragm models. As can be seen in the figures, the roof diaphragm modeling approach has little impact on the pushover response of the building.
07/17/2018 Seismic Review Committee Page 10
suggested the team look at modeling the roof rigid and rigid to acknowledge the skylights.
To investigate the effect of roof diaphragm modeling approach, a rigid and rigid roof
rigid roof diaphragms on the south side of the building. Elastic shell and beam elements are used to model the roof diaphragms and
a comparison of the global pushover results between the models with different roof diaphragm models. As can be seen in the figures, the roof diaphragm modeling approach has little impact on the pushover response of the building.
UC Berkeley 07/17/2018 Seismic Review Committee Page 11
Figure 3: Comparison of pushover response between models with different roof diaphragms (E-W direction)
Figure 4: Comparison of pushover response between models with different roof diaphragms (N-S direction)
UC Berkeley 07/17/2018 Seismic Review Committee Page 12
Figure 5 shows the N-S peak shear demand on the roof girders across the roof diaphragm openings. The horizontal N-S shear capacity of the roof girder is 147.7 k. As shown in Figure 5, the shear demands on a number of girders exceed the shear capacity; and in addition the shear flow thru the girder creates torsion in the girder which reduces the shear capacity of the girder, hence retrofitting is needed for these members.
Figure 5: N-S horizontal peak shear demands on roof girders (BSE-2N seismic hazard level)
In addition to the above, R+C received the following question from SRC by e-mail: Are the nonlinear static analysis results valid beyond the point of strength degradation? The reason is because rapid strength degradation of one side of the building likely results in an extreme torsion condition that is not likely to be well represented by the static analysis results. The overall conclusions regarding the shortcomings of the building are, however, still likely to be valid.
UC Berkeley 07/17/2018 Seismic Review Committee Page 13
R+C Response: We agree with SRC and we recommend nonlinear response history analysis to be performed, when this building goes beyond evaluation level into design phase.
UC Berkeley 07/17/2018 Seismic Review Committee Page 14
ATTACHMENT A
Seismic Review Committee (SRC) Meeting Notes April 3, 2018
OF STRUCTURAL APPENDIX 3
SEISMIC REVIEW COMMITTEE (SRC)
Meeting Notes April 3, 2018
I. SRC members present: Administrative Representation:
Professor Moehle, Chair SRC Technical Advisor: Maryann Phipps Professor Sitar AVC Sally McGarrahan Professor Tobriner Director Shannon Holloway Professor Wilson SRC Coordinator Kathleen Kelly
II. Hearst Memorial Gymnasium Seismic Study, Project 918258
Project Manager: Judy Chess-Physical & Environmental Planning and Nick Morisco – Capital Projects
Design Architect: Fernau + Hartman (Laura Boutelle, Lara Hartman)
Structural Engineer: Rutherford & Chekene (Afshar Jalalian, Ayse Celikbas)
Project Review Phase: Study
The Hearst Memorial Gymnasium is located on Bancroft Way neighboring Barrows Hall to the northwest and the Music Building to the northeast. The structure is a two-story concrete building with a partial basement located on a sloping site with grade sloping down towards the west. The building, constructed in circa 1926, is a historic structure listed on the national register. The building received a Seismic Rating of “Poor” and this study will evaluate and recommend a cost-effective seismic strengthening strategy that will bring the building to a seismic rating of “Good” (III). The project team presented the following:
• Basic project information • Structural Systems • Assessment/Retrofit Criteria • Seismic Ground Motion Spectra • Analysis Modeling Assumptions • Analysis Results • Summary of Deficiencies • Conceptual Retrofit
Key Points/Action Items: 1. The use of code spectra vs. the UCOP seismic policy for level III is appropriate. 2. Using the capped value for the seismic ground motion spectra seemed appropriate. 3. If the team elects to do a 3D nonlinear time-history dynamic analysis, it will produce
more realistic drift values than calculated from the 2D static pushover analysis.
SRC Meeting April 3, 2018 Page 2
4. The committee suggested the team look at modeling the roof diaphragms as a combination of semi-rigid and rigid to acknowledge the skylights.
5. There was consensus about the positive aspect of addressing the torsional issue in the east wing of the building.
6. Site investigation of foundations would appear to be walls without spread footings spanning between columns at the foundation level.
7. Once the study analysis has been completed incorporating the above suggestions, the project team will send their results to SRC Technical Advisor, Maryann Phipps, and review them with Professor Moehle to determine whether the committee needs to review the project again.
III. Structural Seismic Guidelines
Presented by Shannon Holloway, Director of Capital Projects and Maryann Phipps, Technical Advisor
Key Points/Action Required: 1. The committee discussed whether certain building types should require more than
the code. The technical advisor, Maryann Phipps, will develop seismic guidelines for the committee’s review.
2. Professor Sitar noted that guidelines were developed many years ago. SRC Coordinator, Kathleen Kelly, will research the SRC files.