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Beam-Column Connections
Jack Moehle
University of California, Berkeley
with contributions from
Dawn Lehman and Laura Lowes
University of Washington, Seattle
Outline
design of new joints
existing joint details
failure of existing joints in earthquakes
general response characteristics
importance of including joint deformations
stiffness
strength
deformation capacity
axial failure
Special Moment-Resisting Frames
- Design intent -
Beam
Beam Section
lnb
Vp
w
Mpr
Mpr
Vp
Mpr
Vp
Mpr
lc
Vcol
Vcol
For seismic design,
beam yielding
defines demands
Joint demands
(a) moments, shears, axial
loads acting on joint
(c) joint shear
Vcol
Ts1 C2
Vu =Vj = Ts1 + C1 - Vcol
(b) internal stress resultants
acting on joint
Ts2 =
1.25Asfy
C2 = Ts2
Ts1 =
1.25Asfy
C1 = Ts2
Vcol
Vcol
Vb1
Vb2
Joint geometry
(ACI Committee 352)
a) Interior
A.1
c) Corner
A.3
b) Exterior
A.2
d) Roof
Interior B.1
e) Roof
Exterior B.2
f) Roof
Corner B.3
ACI 352
Classification
/type
interior exterior corner
cont. column 20 15 12
Roof 15 12 8
Values of γ (ACI 352)
Joint shear strength
- code-conforming joints -
hbfVV jcnu
'
φγφ ==
φ = 0.85
ACI 352
Joint Details - Interior
hcol ≥ 20db
ACI 352
Joint Details - Corner
≥ ldh
ACI 352
Code-conforming joints
Older-type beam-column
connections
Survey of existing buildings
Mosier
Joint failures
Studies of older-type joints
Lehman
-80
-60
-40
-20
0
20
40
60
80
-6 -4 -2 0 2 4 6
Drift %
ColumnShear(K)
Yield of Beam
Longitudinal
Reinforcement
Spalling of
Concrete Cover Longitudinal
Column Bar
Exposed
Measurable
residual cracks
20% Reduction
in Envelope
Damage progression
interior connections
Lehman
Effect of load history
interior connections
-6 -4 -2 0 2 4 6
Story Drift
ColumnShear(k)
Column Bar
Envelope for standard
cyclic history
Impulsive loading history
Lehman
Standard Loading Impulsive Loading
Damage at 5% drift
Lehman
Specimen CD15-14
Contributions to drift
interior connections
“Joints shall be modeled
as either stiff or rigid
components.” (FEMA 356)
Lehman
Evaluation of FEMA-356 Model
interior connections
0
2
4
6
8
10
12
14
16
18
0 0.005 0.01 0.015 0.02 0.025 0.03
Joint Shear Strain
JointShearFactor
FEMA
PEER-14
CD15-14
CD30-14
PADH-14
PEER-22
CD30-22
PADH-22
Lehman
Joint panel deformations
Joint Deformation
0.000
0
12
Gc /5Gc
Joint shear stiffness
interior connections
psifc ,20 '
0.005 0.010 0.015 0.020 0.025 0.030
Joint shear strain
Jointshearstress(MPa)
10
8
6
4
2
psifc ,20 '
psifc ,10 '
Gc /8
Lehman
Joint strength
effect of beam yieldingJointStress(psi)
0
400
800
1200
1600
0 1 2 3 4 5 6
Drift (%)
• Joint strength closely linked to beam flexural strength
• Plastic deformation capacity higher for lower joint shear
Lehman
Yield
Yield
Joint strength
interior connections - lower/upper bounds
/fc
’
0
0.1
0.3
0.4
0 10 20 30 40 50 60
Λ
0.2
vj
Beam Hinging/
Beam Bar Slip
Failure forced into
beams between
8.5√f’c
and 11√f’c
Joint
Shear
Failure
Joint failure without
yielding near
25.5√f’c
Lehman
Joint strength
interior connections
0
500
1000
1500
2000
2500
3000
3500
0 4000 8000 12000 16000
Concrete Strength (psi)
JointStress(psi)
Joint Failures
Beam Failures
psifc ,10 '
Lehman
Joint deformabilityJointStress(psi)
0
400
800
1200
1600
0 1 2 3 4 5 6
vmax
Drift (%)
0.2vmax
plastic drift capacity
envelope
Plastic drift capacity
interior connections
0
5
10
15
20
25
30
0 0.01 0.02 0.03 0.04 0.05 0.06
plastic drift angle
psi
f
v
c
jo
,
'
int
Note: the plastic drift angle includes inelastic deformations of the beams
Damage progression
exterior connections
Pantelides, 2002
Joint behavior
exterior connections
2 Clyde
6 Clyde
4 Clyde
5 Clyde
5 Pantelides
6 Pantelides
6 Hakuto
Priestley longitudinal
Priestley transverse
psi
f
v
c
jo
,
'
int
15
0 1 2 3 4 5 6 7
10
5
0
Drift, %
bidirectional
loading
Plastic drift capacity
0
5
10
15
20
25
30
0 0.01 0.02 0.03 0.04 0.05 0.06
plastic drift angle
psi
f
v
c
jo
,
'
int
Note: the plastic drift angle includes inelastic deformations of the beams
Interior
Exterior
Exterior joint
hook detail
hook bent into joint
hook bent out of joint
Interior joints with
discontinuous bars
Column
shear,
kips
40
30
20
10
0
0 1 2 3 4 5
Drift ratio, %Beres, 1992
• Assuming bars are anchored in
joint, strength limited by strength of
framing members, with upper
bound of γ ≈ 25. For 25 ≥ γ ≥ 8,
joint failure may occur after inelastic
response. For γ ≤ 8, joint unlikely to
fail.
Unreinforced Joint Strength
bhfV cj
'
γ=
γjoint
geometry
4
6
10
8
12
FEMA 356 specifies the following:
• No new data. Probably still valid.
• Assuming bars are anchored in
joint, strength limited by strength of
framing members, with upper-
bound of γ ≈ 15. For 15 ≥ γ ≥ 4,
joint failure may occur after inelastic
response. For γ ≤ 4, joint unlikely to
fail.
Joint failure?
σy
τcr
τcr
'
'
6
16
c
y
ccr
f
f
σ
τ −= , psi
Joint failure?
Drift at “tensile failure”
Drift at “axial failure”
LateralLoad
Lateral Deflection, mm
Drift at “lateral failure”
Priestley, 1994
0
0.02
0.04
0.06
0.08
0.1
0 0.05 0.1 0.15 0.2 0.25 0.3
Axial load ratio
Driftratio
}
Interior
0.03-0.07
0.10-0.18
0.20-0.22
Range of γ values
Joint test summary
axial failures identified
Tests with axial load failure
0.36
Exterior, hooks bent in
Exterior, hooks bent out
Corner
'
cj fv γ=
Suggested envelope relation
interior connections with continuous beam bars
psi
f
v
c
jo
,
'
int 25
20
15
10
5
0
0.015
0.04 0.02
8
psifc ,25 '
strength = beam strength
but not to exceed
stiffness based on effective
stiffness to yield
Note: the plastic drift angle includes inelastic deformations of the beams
axial-load stability unknown,
especially under high axial loads
Suggested envelope relation
exterior connections with hooked beam bars
psi
f
v
c
jo
,
'
int 25
20
15
10
5
0
0.010
0.02 0.01
strength = beam strength
but not to exceed psifc ,12 '
stiffness based on effective
stiffness to yield
connections with demand less
than have beam-yield
mechanisms and do not follow
this model
'
4 cf
Note: the plastic drift angle includes inelastic deformations of the beams
Joint panel deformations
Joint Deformation
Methods of Repair (MOR)
Method of
Repair
Activities
Damage
States
0. Cosmetic
Repair
Replace and repair finishes 0-2
1. Epoxy Injection Inject cracks with epoxy and
replace finishes
3-5
2. Patching Patch spalled concrete, epoxy
inject cracks and replace
finishes
6-8
3. Replace
concrete
Remove and replace damaged
concrete, replace finishes
9-11
4. Replace joint Replace damaged reinforcing
steel, remove and replace
concrete, and replace finishes
12
Pagni
Interior joint fragility relations
0.0 1.0 2.0 3.0 4.0 5.0 6.00
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Drift (%)
MOR 0
MOR 1
MOR 2
MOR 3
MOR 4
0.0 1.0 2.0 3.0 4.0 5.0 6.00
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Drift (%)
MOR 0
MOR 1
MOR 2
MOR 3
MOR 4
MOR 0
MOR 1
MOR 2
MOR 3
MOR 4
MOR 0
MOR 1
MOR 2
MOR 3
MOR 4
ProbabilityofRequiringaMOR
Cosmetic repair
Epoxy injection
Patching
Replace concrete
Replace joint
Cosmetic repair
Epoxy injection
Patching
Replace concrete
Replace joint
Beam-Column Connections
Jack Moehle
University of California, Berkeley
with contributions from
Dawn Lehman and Laura Lowes
University of Washington, Seattle
References
• Clyde, C., C. Pantelides, and L. Reaveley (2000), “Performance-based evaluation of exterior reinforced
concrete building joints for seismic excitation,” Report No. PEER-2000/05, Pacific Earthquake
Engineering Research Center, University of California, Berkeley, 61 pp.
• Pantelides, C., J. Hansen, J. Nadauld, L Reaveley (2002, “Assessment of reinforced concrete building
exterior joints with substandard details,” Report No. PEER-2002/18, Pacific Earthquake Engineering
Research Center, University of California, Berkeley, 103 pp.
• Park, R. (2002), "A Summary of Results of Simulated Seismic Load Tests on Reinforced Concrete
Beam-Column Joints, Beams and Columns with Substandard Reinforcing Details, Journal of Earthquake
Engineering, Vol. 6, No. 2, pp. 147-174.
• Priestley, M., and G. Hart (1994), “Seismic Behavior of “As-Built” and “As-Designed” Corner Joints,”
SEQAD Report to Hart Consultant Group, Report #94-09, 93 pp. plus appendices.
• Walker, S., C. Yeargin, D. Lehman, and J. Stanton (2002), “Influence of Joint Shear Stress Demand and
Displacement History on the Seismic Performance of Beam-Column Joints,” Proceedings, The Third US-
Japan Workshop on Performance-Based Earthquake Engineering Methodology for Reinforced Concrete
Building Structures, Seattle, USA, 16-18 August 2001, Report No. PEER-2002/02, Pacific Earthquake
Engineering Research Center, University of California, Berkeley, pp. 349-362.
• Hakuto, S., R. Park, and H. Tanaka, “Seismic Load Tests on Interior and Exterior Beam-Column Joints
with Substandard Reinforcing Details,” ACI Structural Journal, Vol. 97, No. 1, January 2000, pp. 11-25.
• Beres, A., R.White, and P. Gergely, “Seismic Behavior of Reinforced Concrete Frame Structures with
Nonductile Details: Part I – Summary of Experimental Findings of Full Scale Beam-Column Joint Tests,”
Report NCEER-92-0024, NCEER, State University of New York at Buffalo, 1992.
• Pessiki, S., C. Conley, P. Gergely, and R. White, “Seismic Behavior of Lightly-Reinforced Concrete
Column and Beam Column Joint Details,” Report NCEER-90-0014, NCEER, State University of New
York at Buffalo, 1990.
• ACI-ASCE Committee 352, Recommendations for Design of Beam-Column Connections in Monolithic
Reinforced Concrete Structures,” American Concrete Institute, Farmington Hills, 2002.
References (continued)
• D. Lehman, University of Washington, personal communication, based on the following resources:
Fragility functions:
•Pagni, C.A. and L.N. Lowes (2006). “Empirical Models for Predicting Earthquake Damage and Repair
Requirements for Older Reinforced Concrete Beam-Column Joints.” Earthquake Spectra. In press.
Joint element:
•Lowes, L.N. and A. Altoontash. “Modeling the Response of Reinforced Concrete Beam-Column
Joints.” Journal of Structural Engineering, ASCE. 129(12) (2003):1686-1697.
•Mitra, N. and L.N. Lowes. “Evaluation, Calibration and Verification of a Reinforced Concrete Beam-
Column Joint Model.” Journal of Structural Engineering, ASCE. Submitted July 2005.
•Anderson, M.R. (2003). “Analytical Modeling of Existing Reinforced Concrete Beam-Column Joints”
MSCE thesis, University of Washington, Seattle, 308 p.
Analyses using joint model:
•Theiss, A.G. “Modeling the Response of Older Reinforced Concrete Building Joints.” M.S. Thesis.
Seattle: University of Washington (2005): 209 p.
Experimental Research
•Walker, S.*, Yeargin, C.*, Lehman, D.E., and Stanton, J. Seismic Performance of Non-Ductile
Reinforced Concrete Beam-Column Joints, Structural Journal, American Concrete Institute, accepted
for publication.
•Walker, S.G. (2001). “Seismic Performance of Existing Reinforced Concrete Beam-Column Joints”.
MSCE Thesis, University of Washington, Seattle. 308 p.
•Alire, D.A. (2002). "Seismic Evaluation of Existing Unconfined Reinforced Concrete Beam-Column
Joints", MSCE thesis, University of Washington, Seattle, 250 p.
•Infrastructure Review
•Mosier, G. (2000). “Seismic Assessment of Reinforced Concrete Beam-Column Joints”. MSCE
thesis, University of Washington, Seattle. 218 p.

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Beam column connections

  • 1. Beam-Column Connections Jack Moehle University of California, Berkeley with contributions from Dawn Lehman and Laura Lowes University of Washington, Seattle
  • 2. Outline design of new joints existing joint details failure of existing joints in earthquakes general response characteristics importance of including joint deformations stiffness strength deformation capacity axial failure
  • 3. Special Moment-Resisting Frames - Design intent - Beam Beam Section lnb Vp w Mpr Mpr Vp Mpr Vp Mpr lc Vcol Vcol For seismic design, beam yielding defines demands
  • 4. Joint demands (a) moments, shears, axial loads acting on joint (c) joint shear Vcol Ts1 C2 Vu =Vj = Ts1 + C1 - Vcol (b) internal stress resultants acting on joint Ts2 = 1.25Asfy C2 = Ts2 Ts1 = 1.25Asfy C1 = Ts2 Vcol Vcol Vb1 Vb2
  • 5. Joint geometry (ACI Committee 352) a) Interior A.1 c) Corner A.3 b) Exterior A.2 d) Roof Interior B.1 e) Roof Exterior B.2 f) Roof Corner B.3 ACI 352
  • 6. Classification /type interior exterior corner cont. column 20 15 12 Roof 15 12 8 Values of γ (ACI 352) Joint shear strength - code-conforming joints - hbfVV jcnu ' φγφ == φ = 0.85 ACI 352
  • 7. Joint Details - Interior hcol ≥ 20db ACI 352
  • 8. Joint Details - Corner ≥ ldh ACI 352
  • 11. Survey of existing buildings Mosier
  • 13. Studies of older-type joints Lehman
  • 14. -80 -60 -40 -20 0 20 40 60 80 -6 -4 -2 0 2 4 6 Drift % ColumnShear(K) Yield of Beam Longitudinal Reinforcement Spalling of Concrete Cover Longitudinal Column Bar Exposed Measurable residual cracks 20% Reduction in Envelope Damage progression interior connections Lehman
  • 15. Effect of load history interior connections -6 -4 -2 0 2 4 6 Story Drift ColumnShear(k) Column Bar Envelope for standard cyclic history Impulsive loading history Lehman
  • 16. Standard Loading Impulsive Loading Damage at 5% drift Lehman
  • 17. Specimen CD15-14 Contributions to drift interior connections “Joints shall be modeled as either stiff or rigid components.” (FEMA 356) Lehman
  • 18. Evaluation of FEMA-356 Model interior connections 0 2 4 6 8 10 12 14 16 18 0 0.005 0.01 0.015 0.02 0.025 0.03 Joint Shear Strain JointShearFactor FEMA PEER-14 CD15-14 CD30-14 PADH-14 PEER-22 CD30-22 PADH-22 Lehman
  • 20. 0.000 0 12 Gc /5Gc Joint shear stiffness interior connections psifc ,20 ' 0.005 0.010 0.015 0.020 0.025 0.030 Joint shear strain Jointshearstress(MPa) 10 8 6 4 2 psifc ,20 ' psifc ,10 ' Gc /8 Lehman
  • 21. Joint strength effect of beam yieldingJointStress(psi) 0 400 800 1200 1600 0 1 2 3 4 5 6 Drift (%) • Joint strength closely linked to beam flexural strength • Plastic deformation capacity higher for lower joint shear Lehman Yield Yield
  • 22. Joint strength interior connections - lower/upper bounds /fc ’ 0 0.1 0.3 0.4 0 10 20 30 40 50 60 Λ 0.2 vj Beam Hinging/ Beam Bar Slip Failure forced into beams between 8.5√f’c and 11√f’c Joint Shear Failure Joint failure without yielding near 25.5√f’c Lehman
  • 23. Joint strength interior connections 0 500 1000 1500 2000 2500 3000 3500 0 4000 8000 12000 16000 Concrete Strength (psi) JointStress(psi) Joint Failures Beam Failures psifc ,10 ' Lehman
  • 24. Joint deformabilityJointStress(psi) 0 400 800 1200 1600 0 1 2 3 4 5 6 vmax Drift (%) 0.2vmax plastic drift capacity envelope
  • 25. Plastic drift capacity interior connections 0 5 10 15 20 25 30 0 0.01 0.02 0.03 0.04 0.05 0.06 plastic drift angle psi f v c jo , ' int Note: the plastic drift angle includes inelastic deformations of the beams
  • 27. Joint behavior exterior connections 2 Clyde 6 Clyde 4 Clyde 5 Clyde 5 Pantelides 6 Pantelides 6 Hakuto Priestley longitudinal Priestley transverse psi f v c jo , ' int 15 0 1 2 3 4 5 6 7 10 5 0 Drift, % bidirectional loading
  • 28. Plastic drift capacity 0 5 10 15 20 25 30 0 0.01 0.02 0.03 0.04 0.05 0.06 plastic drift angle psi f v c jo , ' int Note: the plastic drift angle includes inelastic deformations of the beams Interior Exterior
  • 29. Exterior joint hook detail hook bent into joint hook bent out of joint
  • 30. Interior joints with discontinuous bars Column shear, kips 40 30 20 10 0 0 1 2 3 4 5 Drift ratio, %Beres, 1992
  • 31. • Assuming bars are anchored in joint, strength limited by strength of framing members, with upper bound of γ ≈ 25. For 25 ≥ γ ≥ 8, joint failure may occur after inelastic response. For γ ≤ 8, joint unlikely to fail. Unreinforced Joint Strength bhfV cj ' γ= γjoint geometry 4 6 10 8 12 FEMA 356 specifies the following: • No new data. Probably still valid. • Assuming bars are anchored in joint, strength limited by strength of framing members, with upper- bound of γ ≈ 15. For 15 ≥ γ ≥ 4, joint failure may occur after inelastic response. For γ ≤ 4, joint unlikely to fail.
  • 33. Joint failure? Drift at “tensile failure” Drift at “axial failure” LateralLoad Lateral Deflection, mm Drift at “lateral failure” Priestley, 1994
  • 34. 0 0.02 0.04 0.06 0.08 0.1 0 0.05 0.1 0.15 0.2 0.25 0.3 Axial load ratio Driftratio } Interior 0.03-0.07 0.10-0.18 0.20-0.22 Range of γ values Joint test summary axial failures identified Tests with axial load failure 0.36 Exterior, hooks bent in Exterior, hooks bent out Corner ' cj fv γ=
  • 35. Suggested envelope relation interior connections with continuous beam bars psi f v c jo , ' int 25 20 15 10 5 0 0.015 0.04 0.02 8 psifc ,25 ' strength = beam strength but not to exceed stiffness based on effective stiffness to yield Note: the plastic drift angle includes inelastic deformations of the beams
  • 36. axial-load stability unknown, especially under high axial loads Suggested envelope relation exterior connections with hooked beam bars psi f v c jo , ' int 25 20 15 10 5 0 0.010 0.02 0.01 strength = beam strength but not to exceed psifc ,12 ' stiffness based on effective stiffness to yield connections with demand less than have beam-yield mechanisms and do not follow this model ' 4 cf Note: the plastic drift angle includes inelastic deformations of the beams
  • 38. Methods of Repair (MOR) Method of Repair Activities Damage States 0. Cosmetic Repair Replace and repair finishes 0-2 1. Epoxy Injection Inject cracks with epoxy and replace finishes 3-5 2. Patching Patch spalled concrete, epoxy inject cracks and replace finishes 6-8 3. Replace concrete Remove and replace damaged concrete, replace finishes 9-11 4. Replace joint Replace damaged reinforcing steel, remove and replace concrete, and replace finishes 12 Pagni
  • 39. Interior joint fragility relations 0.0 1.0 2.0 3.0 4.0 5.0 6.00 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Drift (%) MOR 0 MOR 1 MOR 2 MOR 3 MOR 4 0.0 1.0 2.0 3.0 4.0 5.0 6.00 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Drift (%) MOR 0 MOR 1 MOR 2 MOR 3 MOR 4 MOR 0 MOR 1 MOR 2 MOR 3 MOR 4 MOR 0 MOR 1 MOR 2 MOR 3 MOR 4 ProbabilityofRequiringaMOR Cosmetic repair Epoxy injection Patching Replace concrete Replace joint Cosmetic repair Epoxy injection Patching Replace concrete Replace joint
  • 40. Beam-Column Connections Jack Moehle University of California, Berkeley with contributions from Dawn Lehman and Laura Lowes University of Washington, Seattle
  • 41. References • Clyde, C., C. Pantelides, and L. Reaveley (2000), “Performance-based evaluation of exterior reinforced concrete building joints for seismic excitation,” Report No. PEER-2000/05, Pacific Earthquake Engineering Research Center, University of California, Berkeley, 61 pp. • Pantelides, C., J. Hansen, J. Nadauld, L Reaveley (2002, “Assessment of reinforced concrete building exterior joints with substandard details,” Report No. PEER-2002/18, Pacific Earthquake Engineering Research Center, University of California, Berkeley, 103 pp. • Park, R. (2002), "A Summary of Results of Simulated Seismic Load Tests on Reinforced Concrete Beam-Column Joints, Beams and Columns with Substandard Reinforcing Details, Journal of Earthquake Engineering, Vol. 6, No. 2, pp. 147-174. • Priestley, M., and G. Hart (1994), “Seismic Behavior of “As-Built” and “As-Designed” Corner Joints,” SEQAD Report to Hart Consultant Group, Report #94-09, 93 pp. plus appendices. • Walker, S., C. Yeargin, D. Lehman, and J. Stanton (2002), “Influence of Joint Shear Stress Demand and Displacement History on the Seismic Performance of Beam-Column Joints,” Proceedings, The Third US- Japan Workshop on Performance-Based Earthquake Engineering Methodology for Reinforced Concrete Building Structures, Seattle, USA, 16-18 August 2001, Report No. PEER-2002/02, Pacific Earthquake Engineering Research Center, University of California, Berkeley, pp. 349-362. • Hakuto, S., R. Park, and H. Tanaka, “Seismic Load Tests on Interior and Exterior Beam-Column Joints with Substandard Reinforcing Details,” ACI Structural Journal, Vol. 97, No. 1, January 2000, pp. 11-25. • Beres, A., R.White, and P. Gergely, “Seismic Behavior of Reinforced Concrete Frame Structures with Nonductile Details: Part I – Summary of Experimental Findings of Full Scale Beam-Column Joint Tests,” Report NCEER-92-0024, NCEER, State University of New York at Buffalo, 1992. • Pessiki, S., C. Conley, P. Gergely, and R. White, “Seismic Behavior of Lightly-Reinforced Concrete Column and Beam Column Joint Details,” Report NCEER-90-0014, NCEER, State University of New York at Buffalo, 1990. • ACI-ASCE Committee 352, Recommendations for Design of Beam-Column Connections in Monolithic Reinforced Concrete Structures,” American Concrete Institute, Farmington Hills, 2002.
  • 42. References (continued) • D. Lehman, University of Washington, personal communication, based on the following resources: Fragility functions: •Pagni, C.A. and L.N. Lowes (2006). “Empirical Models for Predicting Earthquake Damage and Repair Requirements for Older Reinforced Concrete Beam-Column Joints.” Earthquake Spectra. In press. Joint element: •Lowes, L.N. and A. Altoontash. “Modeling the Response of Reinforced Concrete Beam-Column Joints.” Journal of Structural Engineering, ASCE. 129(12) (2003):1686-1697. •Mitra, N. and L.N. Lowes. “Evaluation, Calibration and Verification of a Reinforced Concrete Beam- Column Joint Model.” Journal of Structural Engineering, ASCE. Submitted July 2005. •Anderson, M.R. (2003). “Analytical Modeling of Existing Reinforced Concrete Beam-Column Joints” MSCE thesis, University of Washington, Seattle, 308 p. Analyses using joint model: •Theiss, A.G. “Modeling the Response of Older Reinforced Concrete Building Joints.” M.S. Thesis. Seattle: University of Washington (2005): 209 p. Experimental Research •Walker, S.*, Yeargin, C.*, Lehman, D.E., and Stanton, J. Seismic Performance of Non-Ductile Reinforced Concrete Beam-Column Joints, Structural Journal, American Concrete Institute, accepted for publication. •Walker, S.G. (2001). “Seismic Performance of Existing Reinforced Concrete Beam-Column Joints”. MSCE Thesis, University of Washington, Seattle. 308 p. •Alire, D.A. (2002). "Seismic Evaluation of Existing Unconfined Reinforced Concrete Beam-Column Joints", MSCE thesis, University of Washington, Seattle, 250 p. •Infrastructure Review •Mosier, G. (2000). “Seismic Assessment of Reinforced Concrete Beam-Column Joints”. MSCE thesis, University of Washington, Seattle. 218 p.

Editor's Notes

  1. <number> Describe how the joint demands are obtained. Sketch in the beam Mp values, then the corresponding beam shears. Note that the newer 352 document, under ballot, uses the slab effective width in tension as we talked about previously. The vertical line through the joint is to represent the column, use statics to estimate the column shear. Show actions on the joint.
  2. <number> Never really covered this one, though we have talked about how the boundary conditions around a joint affect strength.
  3. <number> Self explanatory. I would show this transparency, then sketch in the geometries.
  4. <number> Define the values of joint shear strength
  5. <number> The figure show the reference specimen. Approximately 2/3 of full scale. An interior joint in an exterior frame. And was constructed without transverse beams. The longitudinal bars in the columns and beams have been grooved to permit placing the strain guages and minimize distrubance ot bond capacity. This photograph shows the specimen in the laboratory. The specimen was tested by loading the beams. The dipslacement history is indicated. We subjected the specimen to increasing levels of drift including drifts of 0.5%, 1%, 1.5%, 2%, 3%, 4%, and 5%. The specimen was not expected to loose axial load carrying capacity unless the bars buckled. However, the tests would be carried out until loss of the majority of the lateral load carrying capacity
  6. <number> The column force-drift response of the specimen is indicated. We note a significant decrease in strength from cycle 1 to cycle 2 at a drift of 3%. In additon, we see that the energy dissipation capacity of the subassemblage is reduced relative to a “ductile” response. It is instructive to consider the damage at various drift levels. At 0.5% drift (yield of the longitudinal bars occurred between drift of 0.5% and 0.75%), we not cracking in the joint region. After the first cycle to 3% drift, we see significant damage to the joint region. And at 5% drift we see more extensive damage to the joint region as well as damage to the beams and the columns. Therefore, although the performance of the joint may not meet the expectation for a new joint, for an existing joint, we would expect the joint to sustain the lateral load carrying capacity until a drift of 3% and it axial load carrying capacity was sustained throughout, even cycling to 5% drift 5 times. These results have significant implications for the need to retrofit or not retrofit the joints.
  7. <number> Note that the tension force is 1.25 fy, for seismic. The compression force balances the tension force. On the right, show the joint shear.