tests of lap splices · 2009. 7. 16. · test of lap splices under monotonic compressive loads have...
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NSFjRA-800497
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EARTHQUAKE RESrSTAWi.' STRUCTURAL'f'lALLS".
TESTS OF LAP SPLICES
R£PRODUCED BYNATIONAL TECHNICALINFORMATION SERVICE
u.s. DEPARTMENT Of COMMERCESPRINGfiELD, VA. 22161
Fi 0 rat0 '-.)1 .,---'G"-'.'----'C~o~r'-l.'...:e"'-yL_ __J. D. Aristizabal-Ochoa, A. E.t ~;a Performing Organization Name and Address
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f, REPORT DOCUMENTATION \1. REPORT NO. 1 2, \ 3~.;,,~;,~;Pient·r8eir3 6°'9
i PAGE , NSFjRA-800497 I , ~ (:J,:hI:. Title and Subtitle 1-5-.-R-ep-o-rt-O-a-te--------
, Earthquake Resistant Structural Walls--Tests of lap Splices, I December 1980Final Report ~
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1
8. Perlorming Organization Rept, No. i
PCA ROSer. 166D__!10. project/Task/Work Unit No.
11. Contract(Cl or Grant(G) No.
Portland Cement AssociationConstruction Technology laboratories5420 Old Orchard RoadSkokie, Il 60077
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(G) ENV771533313. Type of Report &. Period Covered
I FinalI~-----
----------------'-, -----------------115. Supplementary Notes
t 12. Sponsoring Organization Name and Address
Office of Planning and Resources ~lanagement (OPRM)National Science Foundation1800 G Street, N.W.Washington, D.C. 20550
-----------------,------ .- ---------------1j- IS. Abstract (Limit: 200 words)
A test program to develop seismic design criteria for lap splices of reinforcing barsis described. Specifically, the effectiveness of tension lap splices under inelasticstress reversals is evaluated. Variables include load history, amount and configurationof lapped reinforcement, and amount of transverse hoop reinforcement around theiappedbars. Tests were performed on eight reinforced concrete column elements. Columnshad cross-sectional dimensions of 12 x 12 in. (305 x 305 mm). Longitudinal reinforcement consisted of either four No.8 bars or eight NO.6 bars. Results indicate thatdistribution of transverse hoop reinforcement significantly influences performance.Offset reinforcing bars also have a significant effect. Specimens with Class Clapsplices and special transverse hoop reinforcement performed well under monotonic andreversing axial loads.
StressesDucti 1i tyColumns (supports)
LoadsDesign criteriaWalls
b.. tdentifiers/Opel1·E,,,ded Terms
(S"e }\NSI-Z39.1B)
II 1~'. Oocumen~ }\nalysis '3. Descriptors
Earthquake resistant scructuresI Concrete structuresI i~ei nforced concrete
II Lap splices
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Earthquake Hazards MitigationI c. COSAT: .<j,eid/Gr·)up ILI ----, --,-. _
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TABLE OF CONTENTS
HIGHI,IGHTS. . .
CURRENT BUILDING CODE PROVISIONS . .
LITERATURE REVIEW
OBJECTIVES AND SCOPE •
OUTLINE OF TEST PROGR~
Test Specimen
Specimen Design
Materials
Construction 1 •
Test Setup ..
Instrumentation
Loading
OBSERVED BEHAVIOR
Force Transfer Mechanisms in Lap Splices , .
Effects of Load History
Effects of Longitudinal Reinforcement
Effects of Transverse Reinforcement
1
4
7
10
12
12
12
17
17
21
21
22
24
24
29
30
32
SU~lARY AND CONCLUSIONS
ACKNm<lLEDGMENTS
40
44
REFERENCES . 45
APPENDIX A - ADDITIONAL REFERENCES
APPENDIX B ~ TEST RESULTS
S6 Specimens , ,
S 8 Spec imens .
-i- ct
A-I
8 .,
B-·l
8-8
EARTHQUAKE RESISTANT STRUCTURAL WALLS -
TESTS OF LAP SPLICES
by
J. D. Aristizabal-Ochoa, A. E. Fiorato,and W. G. Corley*
HIGHLIGHTS
This report describes results of a test program to develop
seismic design criteria for lap splices of reinforcing bars.
The full-scale tests are part of an investigation of reinforced
concrete structural walls used as lateral bracing in earthquake-
resistant buildings.
The specific problem considered in this investigation is
use of tension lap splices in regions of potentially severe
stress reversals. This situation occurs, for example, at the
base of tall structural walls where splices of vertical rein-
forcing bars are often used. Figure 1 illustrates this condi-
tion. During severe earthquakes, overturning forces can induce
inelastic stress reversals in the vertical bars. At present,
the designer has no guidance on effectiveness of splices in this
critical region.
This report presents results of a test ptogram to evaluate
effectiveness of lap splices under inelastic stress reversals.
It includes a description of eight 12-in. (30S-rnrn) square column
elements subjected to axial loads.
*Respectively, Former structural Engineer, Structural Development Section; Manager, Construction Methods Section; andDivisional Director, Engineering Development Division, PortlandCement Association, Skokie, Illinois.
-1-
PotentialHinging
Region
FoundatIon
-I I
I
I III
I II I Floor Slab !,I II II III I
III iII WALL II II II I
:>\I IIlice ./ tr\ II
"'-\ II . II+.J III II
Lap Sp
Fig. 1 Splice in Critical Region NearBase of Structural Wall
-2-
Variables were amount and configuration of lapped longitu-
dinal reinforcement, amount of transverse hoop reinforcement
around the longitudinal reinforcement, and load history.
Specimens had Class C tension lap splices in conformance
with the 1977 ACI Building Code. (1)* Lapped longitudinal
reinforcement included No. 8 and No.6 bars. In each case 100%
of the bars were spliced at the same location. Following common
practice, corner bars were offset at the end of the lap. Offset
length was six times the bar diameter. Amount of transverse
reinforcement varied from that required for seismic design con-
ditions to maximum spacing for column ties. Four tests under
monotonic loading and four under severe reversing loading were
made. Reinforcement with a nominal yield of 60 ksi (414 MPa)
was used. Nominal concrete strength was 3,000 psi (20.7 MPa).
* Numbers in parentheses correspond to references at the end ofthe report.
-3-
CURRENT BUILDING CODE PROVISIONS
The 1977 ACI Building Code(l) provisions for tension lap
splices of flexural members are summarized in Table 1. These
provisions are similar to those in the 1976 Uniform Building
Code. (2) Three classes of lap splices are defined. No lap
splices are permitted for bars larger than No. 11.
For sections where the area of tensile steel pr.ovided is
equal to or greater than two times that required, two cases are
considered. When 75% or less of the bars at the section in
question are interrupted, a Class A splice is required. This
splice has a lap length equal to the bar development length,
Qd' When more than 75% of the bars at a section are inter
rupted, a Class B splice is required. The lap length is then
1.3 Qo'
For sections where the area of tensile steel provided is
less than two times that required, two more cases are defined.
When 50% or less of the bars are interrupted, a Class B splice
is required. When more than 50% of the bars are spliced, a
Class C splice must be used. This splice has a lap length of
1.7 Qo'
Seismic design provisions in Appendix A of the 1977 ACT
Building Code(l) also require that lap lengths be at least 24
nominal bar diameters or 12 in. (305 mm).
The basic intent of the building code provisions is to dis
courage use of tensile splices in regions of critical stress
and to encourage staggering of splices.
-4-
TABLE 1 - TENSION LAP SPLICES ACCORDING TO 1977ACI BUILDING CODE
A provided Maximum percent of As spliceds within required lap length
A requireds 50 75 100
Equal to or Class A Class A Class Bgreater than 2
Less than 2 Class B Class C Class C
Where:
As provided/As required :::
Class A splice ::: 1.0 Qd
Class B splice ::: 1.3 Qd
Class C splice ::: 1.7 Qd
ratio of area of reinforcement provided to area ofreinforcement required byanalysis of splice location.
Qd::: development length, in.
f :::y
db :=
Ab:::
ft :::C
0.04 Abf y
Jftc
but not less than 0.0004 dbf y for No. 11 bars
or smaller in normal weight concrete.
specified yield strength of reinforcement, psi
nominal diameter of bar, in.
area of individual bar, sq. in.
specified compressive strength of concrete, psi
-5-
For seismic conditions, applicability of current code pro
visions for tensile laps needs to be clarified. The following
questions arise:
(1) Code lap lengths are based on development of 125% of
the yield stress of the ba~. Is this appropriate Eor
seismic conditions where severe overloads can occur?
(2) Experimental investigations(3) indicate a significant
improvement in performance with ordinary transverse
reinforcement. For seismic design, unusually large
amounts of transverse reinforcement are used. Wh&t is
the effect of such reinforcement on performance of lap
splices?
(3) What are effects of load reversals on the performance
of lap splices?
-6-
LITERATURE REVIEW
A review of literature on lap splices of reinforcing bars
indicates that very little work has been done to determine per
formance under seismic loaning conditions. Appendix A is a
list of references covering the topic of lap splices.
An evaluation of nevelopment length and lap splices has
been reported by Orangun et ale (3) This paper describes der
ivation of an equation for development length that includes
effects of concrete cover, bar spacing, and amount of uniformly
distributed transverse reinforcement. However, the recommenda
tions are based on tests of monotonically loaded members. They
must be reevaluated for members subjected to seismic loading.
Test of lap splices under monotonic compressive loads have
been reported by Arthur and Cairns. (4) They concluded that:
(1) Forces in compression lap splices are transferred by
bond stresses around the circumference of the bars and
by end-bearing of the bars on the concrete.
(2) Transfer of forces causes bursting stresses on the sur
rounding concrete.
(3) Strength in bond and end-bearing is dependent on the
resistance available to counteract bursting stresses.
(4) Transverse reinforcement located at ends of the splice
is most effective in resisting bursting stresses.
Arthur 'and Cairns developed an expression to predict stresses
in the main steel. This expression includes contributions of
lateral reinforcement, bond, and end bearing. They also recom
mended that one third of required transverse reinforcement be
-7-
placed within a distance of 15% of the lap length from each end
of the splice.
Tests of tension lap splices in beams have recently been
reported by Betzle. (5) His tests included beams longitudi
nally reinforced with No. 5 and No.9 bars without transverse
reinforcement. Specimens were subjected to monotonic loading.
Betzle concluded that bond stresses in the concrete and force
transfer between lapped bars are mainly concentrated at the
ends of the splice.
Tests of bond and anchorage of reinforcing bars under ine
lastic reversals of load have been reported by Ismail and
Jirsa, (6) Hassan and Hawkins, (7) and Popov. (8) These tests
indicate that rate of bond deterioration and response of
anchored bars are significantly affected by loading history.
Slip and deformation of anchored bars under load reversals were
observed to have substantial influence on hysteretic response
of the members tested. This was also observed in cantilever
beam tests by Brown and Jirsa. (9) They concluded "Deformation
of the steel in the anchorage zone (within the fixed end) con
tributed significantly to the total deformation and to the
energy absorbing capacity of the specimens."
The conclusion is that, for seismic conditions, the load
versus slip relationship of bars is of prime importance. Brown
and Jirsa, (9) and Hawkins(lO) also conclude that for cyclic ine
lastic loads it may be necessary to increase embedment lengths
required by the 1977 ACI Building Code. (1)
-8-
Tests to determine effects of inelastic stress reversals on
bond and anchorage are relevant to the problem of using lap
splices under seismic conditions. However, a comprehensive
evaluation of performance of lap splices under load rever.sals
requires data from tests of spliced members under loading con
ditions simulating those that could occur during an earthquake.
It is for this purpose that the current program was undertaken.
-9-
OBJECTIVES AND SCOPE
Objectives of this investigation were:
(1) To determine effects of reversing loads on behavior of
tension lap splices.
(2) To develop design criteria for tension lap splices in
earthquake-resistant structures.
To achieve these objectives, a series of reversing load
tests on specimens containing lap splices were performed. Var
iables included:
(1) Load History - Tests using load histories corresponding
to monotonic and severe reversing loads were made.
(2) Longitudinal Reinforcement - Variations in longitudinal
reinforcement included bar size and number of bars in
the cross section.
(3) Transverse Reinforcement - The amount and configuration
of transverse reinforcement ranged from that required
for ordinary column ties to that required ror special
seismic confinement hoops.
Table 2 lists the variables considered in this experimental
program.
-10-
TABLE 2 - TEST SPECIMENS
Specimen(l) Load Transverse Longitudinal(2)History Reinf. Reinf.
S6-l Monotonic No. 3 @ 2" 8 No. 6
S6-2 Reversing No. 3 @ 2" 8 No. 6
S6-3 Reversing No. 3 @ 4" 8 No. 6
S6-4 Monotonic No. 3 @ 4" 8 No. 6
S8-l Monotonic No. 3 @ 2" 4 No. 8
S8-2 Reversing No. 3 @ 2" 4 No. B
S8-3 Monotonic No. 3 @ 12" 4 No. S
S8-4 Reversing No. 3 @ 4" 4 No. 8
Notes: (1) All specimens 3,000 psi (20.7 MPa) design com-
pressive strength concrete.
(2) All bars spliced at the same location.
100% Bar Splicing.
(3) 1 in. = 25.4 mm
-11-
OUTLINE OF TEST PROGRAM
A total of eight specimens were tested. Amount of longitu
dinal reinforcement within the splice length was 4.4% for spec
imens with No.8 bars and 4.9% for specimens with No.6 bars.
Reinforcement with a nominal yield of 60 ksi (414 MPa) was used.
Nominal concrete strength was 3,000 psi (20.7 MPa). Four spec
imens were subjected to monotonic loading and four were sub
jected to severe loading reversals. Test specimens, test setup,
and test procedure are described below.
Test Specimen
Tests were performed on I-shaped specimens as shown in Figs.
2, 3, and 4. Axial loads were applied through the two end
blocks using two hydraulic rams. The splice test region was at
the center of the column portion of the specimen.
The column portion had cross-sectional dimensions of l2x12 in.
(305x305 mm) and a length of 96 in. (2.44 m). End blockS had
dimensions of 48x56x12 in. (1.22xl.42xO.3l m).
Specimen Design
Cross sections at the location of the splices for the two
types of specimens selected for testing are shown in Fig. 4.
Specimens designated S6 consisted of eight No. 6 bars all
spliced at the same location. Specimens designated S8 consisted
of four No. 8 bars all spliced at the same location. The number
and size of the reinforcing bars were selected within capacity
-12-
Fig. 2 Test Setup
Reproduced frombest availa ble copy.
-13-
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limits of existing laboratory equipment. The four bar and eight
bar arrangements provide flexibility for considering different
splice configurations.
Lap lengths corresponded to Class C tension lap splices
according to the 1977 ACI Building Code. (1) This resulted in
a 33-in. (0.84 m) lap for S6 specimens and a 60-in. (1.52 m)
lap for 8a specimens.
Transverse reinforcement in Specimens S6-l, 86-2, S8-l, and
S8-2 consisted of confinement hoops spaced 2 in. (51 mm) on
centers. Rectangular hoops were made of No.3 reinforcing bars.
The volumetric hoop reinforcement ratio in these specimens met
requirements of the 1976 Uniform Building Code. (2) It was 70%
of that required by the 1977 ACT Building Code. (1)
To investigate effects of amount of transverse reinforcement
on strength and behavior, Specimens S6-3, S6-4, Sa-3, and S8-4
were built with less confinement. In Specimens S6-3, S6-4 and
S8-4, transverse reinforcement consisted of No.3 hoops spaced
4 in. (102 rom) on centers. In Specimen S8-3, it consisted of
No.3 hoops spaced 12 in. (305 rom) on centers. Confinement
spacing in Specimen S8-3 corresponded to the maximum permitted
for column ties in the 1976 Uniform Building Code and the 1977
ACI Building Code.
Corner longitudinal bars had offsets at the start of the
lap as shown in Fig. 4. Slope of the inclined portion of the
bars with the longitudinal axis of the specimen was 1:6, the
maximum permitted by the 1977 ACI Building Code. Interior bars
were not offset. Photographs of reinforcing cages at the loca-
-15-
tion of the offsets are shown in Fig. 5. It was anticipated
that local stress conditions at the offset would be critical to
performance of the specimens.
The two end blocks were designed to avoid premature termi
nation of tests because of failure of loading or supporting
elements. Main longitudinal reinforcement in the specimens was
anchored in the end blocks as indicated in Fig. 4.
Materials
Concrete contained a blend of Type I portland cements, Elgin
sand, and Elgin gravel aggregates. (11) Maximum aggregate size
was 3/8 in. (10 mm). Compressive and splitting tensile
strengths of the concrete were determined from tests on 6xI2-in.
(152x305 mm) cylinders. Modulus of rupture was determined from
tests on 6x6x30-in. (152x152x762 mm) beams. Average properties
of concrete used in each specimen are given in Table 3.
Bars conforming to ASTM Designation A61S Grade 60 were used
as reinforcement. Measured physical properties of the rein
forcement are summarized in Table 4.
Construction
Test specimens were constructed and cast in a horizontal
position as shown in Fig. 6. Reinforcing cages for the center
part of the specimen and for the two ends were fabricated as a
unit and then placed in the form. Before casting, lifting eyes
and inserts for attaching the loading system were placed in
position.
-17-
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TABLE 3 - CONCRETE PROPERTIES FOR TEST SPECIMENS
Age Compressive Modulus of Split
Specimen At Test Strength Rupture Cylinder Testf' f fDays c r s
psi psi psi
S6-1 24 3300 510 430
S6-2 28 3980 460 340
S6-3 43 3520 410 490
S6-4 41 3280 370 420
88-1 50 3340 460 430
S8-2 34 4480 420 560
88-3 35 4520 400 540
88-4 24 3530 490 450
Notes: (1) Average properties for center part of the specimen.
(2) 1000 ps i = 6. 895 MP a •
TABLE 4 - REINFORCING BAR PROPERTIES FOR TEST SPECIMENS
Bar f f I Es Elongationy suSize ksi ksi I
1 • %,{SlI II
No. 3 73.7 109.8 29,800 I 13
No. 6 69.9 107.4 29,600 I 13\
I No.I
8 68.2I
111. 4 30,100 I 13I I
I
1.0 ksi = 6.895 MPa
-19-
(a) Reinforcing Cage
(b) Reinforcing Cage in Form
Fig. 6 Test Specimen S8-1 Prior to Casting
Reproduced frombest available copy.
-20-
Each specimen was cast using ten batches of concrete. Prop
erties of the concrete were determined from batches used in the
center part of the specimen. After casting, specimens were
covered with polyethylene sheets and cured for one week. Spec
imens were then stripped and moved to the test location.
Test Setup
A photograph of a specimen ready for testing is shown in
Fig. 2. Specimens were tested in a horizontal position. One
end was fixed to the floor. The other was supported on thrust
bearings and guided by rollers to prevent end rotation. Speci
mens were subjected to axial loading using two hydraulic rams
controlled by a hydraulic pump.
Instrumentation
Specimens were instrumented to measure applied loads, axial
elongations, and steel strains. Readings from each sensor were
recorded by a VIDAR digital data acquisition system interfaced
with an HP9830A calculator. Data were stored on tape cassettes
Ear subsequent analysis.
Total and relative axial elongation of the column portion
of the each specimen were measured using the system of external
gages shown in Fig. 3. Elongations were measured with direct
current differential transducers (DCDT).
Strain gages were placed on both longitudinal and trans
verse reinforcement.
-21-
Loading
Each test specimen was loaded axially with forces applied
through the end blocks. Two loading histories were used. These
are termed tensile monotonic (M), and severe reversing loading
(SR) •
In tensile monotonic loading tests, specimens were initially
loaded in increasing force increments. Increments were deter
mined by dividing the calculated yield load by 15. The first
three or four increments were below the cracking load. Subse
quent to yielding, loading was controlled by increments of axial
elongation. Elongation, which was controlled by manually clos
ing a valve in the hydraulic pressure line,was increased until
the specimen was destroyed.
In the severe reversing loading tests, specimens were sub
jected to six reversing cycles. A representative SR loading
history is shown in Fig. 7. In tension, three cycles at yield
were alternated with three cycles at 1.25 times yield. In com
pression, six cycles at a peak load of approximately 200 kips
(890 kN) were applied. After six cycles, specimens were sub
jected to monotonic tensile loading until they were destroyed.
Specimens were inspected visually for cracking and evidence
of distress after each load increment. Crack widths were mea
sured and recorded after initial cracking, and before and after
yielding of the longitudinal steel. Crack patterns were also
recorded.
-22-
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OBSERVED BEHAVIOR
Amount and distribution of hoop reinforcement, and arrange
ment of longitudinal reinforcement were primary factors affect
ing observed strength, ductility and behavior. Capacity of the
specimens was limited either by bar fracture or pull-out of
spliced bars. Bar fracture occurred at the offset. Pull-out
of spliced bars was associated with longitudinal splitting of
the concrete.
A general discussion of force transfer mechanisms and
effects of significant variables is presented in the following
sections. Test results are summarized in Table 5. Detailed
data for each specimen are given in Appendix B.
Force Transfer Mechanisms in Lap Splices
Forces between lapped bars in tension are transferred by
bond stresses around the circumference of the bars. The bond
stresses cause radial or "bursting" forces on the concrete sur
rounding the splice. These forces are concentrated at ends of
the splice. (5)
Crack widths and strains measured in longitudinal and trans
verse reinforcement are shown in Figs. 8, 9, and 10. These
figures are representative of all tests. They indicate the
concentration of deformations and bursting forces at each end
of the splice.
Strains in concrete and reinforcement were more heavily
concentrated at the offset end of the splice than at the straight
end. This resulted because the offset tended to "straighten
-24-
J N VI I
TAB
LE5
-SU
MM
ARY
OF
TE
STS
RES
ULT
S
--C
rack
ing
Loa
dF
ull
Yie
ldL
oad
Max
imum
Loa
dO
bse
rved
Sp
ecim
en(k
ips)
(kip
s)(k
ips)
Mod
eo
f"-
----~---
Fail
ure
(c)
(a)
Calc
ula
ted
(b)
Calc
ula
ted
(b)
Ob
serv
edC
alc
ula
ted
Ob
serv
edO
bse
rved
...~--_.
__._
---
----
----
-_.
---
.>--
86
-147
6124
624
635
737
8S
pli
ce
(M)
S6
-247
4924
624
635
737
8B
arF
ractu
re(6
)
S6
-346
71
246
246
302
378
Sp
lice
(6)
86
-446
6024
624
629
837
8S
pli
ce
(5)
88
-144
6221
621
633
035
2B
arF
ractu
re(M
)
88
-2(d
)46
8021
621
632
535
2--
(6)
88--
346
7821
121
628
035
2S
pli
ce
(M)
S8
-4(e
)46
6521
221
626
135
2B
arF
ractu
re(3
)
(a)
Bas
edon
sp
lit
cy
lin
der
ten
sil
est
ren
gth
.
(b)
Bas
edon
aver
age
pro
pert
ies
of
rein
forc
ing
ste
el.
(c)
Num
ber
wit
hin
pare
nth
ese
sin
dic
ate
snu
mbe
ro
ffu
lly
rev
ers
ed
cy
cle
sap
pli
ed
to
the
spec
imen
pri
or
tofa
ilu
re.
Mm
on
oto
nic
load
.
(d)
Lo
adin
gap
para
tus
beca
me
un
stab
leaft
er
init
ial
six
cy
cle
sap
pli
ed
.
(e)
Aco
rner
bar
fractu
red
at
the
off
set
du
rin
gth
efir
st
half
of
the
fou
rth
cy
cle
.
(f)
1k
ip=
1000
Ib=
4.4
48
kN
Tens
ilelo
ad=
24
2ki
ps(1
076
kN)
at
cycl
esI,
2,
3,
and
4
Cra
ckW
idth
,m
m
1.0
2.0 a
(\ 1\ /\ ,' I\
I...
..C
yde
41
I(
\
1\
Cyc
le3-J
>i/'\\
II
I,
I,C
ycle
2-r
!'.
\\/;1
\\'
f/I
\\
'//
\
'I:\
1/I
III
I
~~----=-=
,t::....
II\ \ X'---
\I
\\
\,.
,I
'\\ \I \, \\ \1 Y.
a
0.0
50
Cra
ck0.
100
Wid
th,
in.
---,
Vi
~-J
_.-
•
1IV
-,
--------
Spl
ice
----
--
- "
-------
-----
--
-.--
----
r
---
-
1-0(
:."-
-....1~O
ffse
t1
--------
33
"
-
L--
-l(
0.8
4m
).L
--'
I N CY\ I
Fig
.8
Cra
ck
Wid
ths
Alo
ng
Sp
lice
inS
pecim
en
S6
-2
I in. 25.4 mm
I kip 4.448 kN
Level
Strain
Offset Bar
I
Yield Level
0.001 Strain
0.001
0.002
oo
30"
P~154kips(l)
_________ .,.... __ - - -- Yield
p: 337 kips / / /
(M) \ /, 0.0027 ./ ,
/ / JP:300kiPSfr ..-"-
(2) r..- ........ ..-/,,"-P:245kips// (I)
,f/IF P=154 kips
,/." (I)
20"
..,:;
///
~----~r- ~ P=300kips
p: 2<15 kips I~ "? (2 )
(I) '/./:' i"
/p= 337 kips (M)II
----'-~---------
0.002
o
0.002
Strain 0.001
I 0Straight Bar
Strain 0.001
Note: Number within parenthesis indicates cycle
M = monotonic loading after sixth cycle
Fig. 9 Strains In Longitudinal Reinforcement of Specimen S6-2
-27-
II
tI
II
II 1
:::::
Off
set
Spl
ice
I.-{'
~3"..I
IYie
ld
0.0
1 0/()
AO?
n~
00
Jt
I,
I'
30
0f-
/,'/
,_
-
I/
"~"'--
Ip
.....---
1/r/
'<"//
.'/~
/20
0~1
I/®
//I
/.:
/
".:
/
I(//
/1/
j/,/'
100U
f:'
/1!
Lo
ad,
kips
I tv 00 I
Str
ain
Fig
.1
0T
en
sil
eS
train
sin
Tra
nsv
ers
eR
ein
forc
em
en
tin
Sp
ecim
en
S6
-2
out" when the longitudinal reinforcement was in tension. There
fore, an outward component of thrust was generated.
End bearing of bars at the offset also contributed to force
transfer when longitudinal steel was in compression.
Severity and extent of bursting, and the load at which
bursting occurred, depended on the relative size of the offset
bars with respect to the size of the cross section. The amount
and distribution of the transverse reinforcement was also a
significant factor. Propagation of concrete spalling from end
regions into the splice depended on the amount and distribution
of the transverse reinforcement.
Bursting forces within the splice produced splitting cracks
along the longitudinal lapped reinforcement. These forces were
resisted by the transverse reinforcement. Some initial resist
ance was also obtained from concrete cover. Lap splices with
very light transverse reinforcement failed violently with split
ting propagating from the ends into the splice. Lap splices
with heavy transverse reinforcement failed at the offset by bar
fracture. Bar fracture was precipitated by pullout of interior
bars.
Effects of Load History
One of the main objectives ?f this experimental investiga
tion was to determine effects of severe load reversals on
performance of tension lap splices. Performance of specimens
-29-
subjected to the loading history shown in Fig. 7 did not vary
significantly from that for specimens subjected to monotonic
tensile loading.
Figure 11 shows load versus total elongation of nominally
identical specimens subjected to different loading histories.
The hysteresis loops correspond to specimens subjected to
reversing loading and the broken lines correspond to companion
monotonic tests. Results in Fig. 11 and Table 5 show that
strength was not affected by the applied load history. However,
final elongation was slightly affected by the applied load.
Specimens subjected to monotonic loading had slightly larger
ductilities than companion specimens subjected to load reversals.
All specimens except Specimen S8-4 attained a final strength
larger than 1.25 times the calculated yield strength. Specimen
S8-4 failed by bar fracture at the offset. One of the offset
bars fractured during the first half of the fourth cycle.
Effects of Longitudinal Reinforcement
Amount and distribution of lapped reinforcement were impor
tant factors. The larger the lapped bars relative to the size
of the cross-section, the larger the bursting forces in the
concrete, particularly at the offset end.
Specimens tested in this program show effects of bar size
and bar configuration. The main differences between S8 Speci
mens and S6 Specimens were bar size, presence of interior bars
in S6 Specimens, and relative size of the offset with respect
-30-
_~_--4<
=~-~--Specimen S6-1
Tafof elongafion, In.-100
Load,kips
, I3.0 4.0
in.
·/00
-200 (a)
300
Load,kips
S6-3
200
100
-200 (b'
300
Load,kips
200
100
-100
-200
58 - I
2.0
Toial elongation I lfl.
3.0 4.0
(e)
Fig. 11 Effects of Load Reversals
-31-
to the cross section. Figure 4 shows the reinforcement in S8
and S6 Specimens.
Figure 12 shows Specimens S6-l and S8-l after testing.
Failure in S8 Specimens occurred at the offset except for Spec
imen S8-3 which had very light transverse reinforcement. The
extent of bursting at the offset was more severe in S8 Speci
mens than in S6 Specimens.
Failure in S6 Specimens, except for Specimen S6-2, was ini
tiated by slip of interior bars. Splitting cracks appeared
along interior bars near the offset as first yield of longitu
dinal reinforcement occurred. At very high inelastic tensile
loads, longitudinal splitting propagated from both end regions
into the splice. As loads approached ultimate, interior spliced
bars slipped, and load was transferred to corner bars which
fractured. Longitudinal splitting was not as well contained
for the interior bars as it was for the corner bars, which were
confined within corners of transverse hoops.
Effects of Transverse Reinforcement
Amount and distribution of transverse reinforcement were
critical to ductility, strength and behavior. Transverse rein
forcement controlled longitudinal splitting and bar slip as
well as yield penetration along the spliced reinforcement. In
particular, longitudinal lapped bars located within corners of
hoops had less tendency to slip.
Figures 9 and 10 show strains in the longitudinal and trans
verse reinforcement along a splice. Intensity of strains at
-32-
0-;<
:>m
m~~
010
<0
...
01C
_.n
iiJm
0-0
...
CD~
nO
03
"0 -::.
(a)
Ov
era
llV
iew
-S
pec
imen
S6
-1
Sp
lice
.'.'
J
(b)
Ov
era
llV
iew
-S
pec
imen
S8
-1
I w w I
Off
set
..~~_i
~,
Off
set
,
., ~~ ....,
(c)
Off
set
Reg
ion
-S
pec
imen
S6
-1(d
)O
ffset
Reg
ion
-S
pec
imen
S8
-1
Fig
.1
2S
pec
imen
sS
6-1
and
S8
-1A
fter
Testi
ng
end regions of the splice indicated that location of transverse
reinforcement is "a critical factor. It appears that closely
spaced hoops at the ends of a splice would improve ductility and
performance. Concentration of hoops at the ends would contain
splitting and loss of bond.
For the amounts of transverse reinforcement used in the
tests, reduction in the number of uniformly distributed hoops
caused only a slight reduction in load carrying capacity of the
tension lap splice. Comparison of Specimens S6-2 and S6-3 in
Table 5 shows that a 50% reduction in transverse reinforcement
required by the UEC Code for seismic conditions caused a reduc
tion of only 15% in strength of the splice. Similar effects
were observed in monotonically loaded Specimens S6-1 and S6-4.
Comparison of Specimens S8-1 and S8-3 shows that an 83%
reduction in transverse reinforcement caused a reduction of
only 15% in strength for monotonically loaded Class C tension
laps. Similar comparisons for Specimens S8-2 and S8-4 indicate
a 20% reduction for a 50% reduction in hoops.
Although reduction in transverse reinforcement did not sig
nificantly affect strength, it did affect behavior and ductility.
Figure 13 shows Specimens S6-2 and S6-3 after testing. Specimen
S6-2,' which had 100% of the required transverse reinforcement,
failed by bar fracture at the offset. Specimen S6-3, which had
50% of the required transverse reinforcement, failed by slip of
the inner bars. The corner bars fractured after the inner bars
pulled out.
-34-
Splice
(a) Specimen S6-2
Splice
(b) Specimen S6-3
Fig. 13 Specimens S6-2 and S6-3 After Testing
Reproduced frombest available copy.
-35-
Figures 14 and 15 show Specimens S8-l and S8-3 after test
ing. Specimen S8-l, which had 100% of the required transverse
reinforcement, failed by bar fracture. Specimen S8-3, which had
17% of the required seismic confinement reinforcement, failed by
slip of the lapped reinforcement. Longitudinal bars pulled out
at the straight end of the splice. Figures 13, 14, and 15 show
that the extent of damage in S6 Specimens was not as severe as
that in S8 Specimens, particularly at the offset end.
Figure l6a shows applied axial load versus total elongation
envelope for Specimens S6-2 and S6-3. As expected, Specimen
S6-2, which had more hoops, attained a higher ductility than
Specimen S6-3. A similar trend was observed for Specimens S6-1
and S6-4, as shown in Fig. 16b, and Specimens 88-2 and S8-4, as
shown in Fig. l6c.
-36-
Fig. 14 Specimen S8-1 After Testing
Reproduced frombest availa ble copy.
-37-
Fig. 15 TestingS8-3 AfterSpecimen
d d fromRepro u~iable copy.be5t av, da~1:::..::.- _
-38-
400
Load,kips
--
Specimen S6-3
L - Specimen S6-2
( a )
1.0 2.0 3.0 4.0
400
Load,kips
Total elongation, in.
Specimen S6-1
Specimen S6-4
( b )
oo!:.------~-----...L-------1.-----....l1.0 2.0 3.0 4.0
Total elongation, in.
400
Load,kips
200
_- -r-/----- "-Specimen
//
//
S8-4
Specimen 58-2
( c )
0 11::------,,-.1.,-,:-----__4.-1------'~ --'Io 1.0 2.0 3.0 4.0
Total elongation, in.
Fig. 16 Effects of Transverse Reinforcement
-39-
SUMMARY AND CONCLUSIONS
This report describes results of a test program to evaluate
effectiveness of tension lap splices under inelastic stress
reversals. Results of eight tests are included.
variables considered were amount and configuration of lapped
reinforcement, amount of transverse reinforcement, and load
history.
Specimens were designed as Class C tension lap splices
according to the 1977 ACI Building Code. (1) Lapped reinforce-
ment included No.6 and No. 8 bars. Specimens with No.6 and
No. 8 bars were termed S6 Specimens and S8 Specimens, respec
tively. Four specimens of each series were built and tested.
In each case 100% of the reinforcement was spliced at the same
location.
Following common practice, lapped bars were offset at one
end of the lap over a length equal to six times the bar diameter.
The amount of transverse reinforcement varied from that required
for seismic design conditions to maximum column tie spacing.
Four tests under tensile monotonic loading and four tests under
reversing loading were made. Reinforcement with a nominal yield
of 60,000 psi (414 MPa) and concrete with a nominal compressive
strength of 3,000 psi (20.7 MPa) were used in design of the
specimens.
Tests were performed on column elements that had cross-
sectional dimensions of 12x12 in. (305 x 305 mm) and a length
of 96 in. (2.44 m). Axial loads were applied to the column
-40-
through two end blocks using hydraulic rams. Series S6 Speci
mens had eight No.6 bars with a 33 in. (0.84 m) lap splice.
Series S8 Specimens had four No.8 bars with a 60 in. (1.52 m)
lap.
Specimens were instrumented to measure loads, axial elonga
tions, crack widths, and longitudinal and transverse steel
strains.
The following observations are based on the eight tests:
(1) Specimens designed as Class C lap splices with trans-
verse reinforcement for seismic conditions according
to the 1976 UBC Code (2) performed very well under
monotonic and reversing loads. Strength of these
specimens varied from 92% to 94% of average tensile
strength of the longitudinal reinforcement. Strengths
varied from 169% to 174% of the design yield load.
(2) Strength of specimens was not affected significantly
by load history.
(3) All specimens experienced large post-yield elongations.
Specimens subjected to monotonic loading exhibited
slightly larger ductility than those subjected to load
reversals.
(4) The use of offset bars at the end of the lap caused
severe local distress. The extent of damage was larger
in specimens with large bars. Moreover, this detail
may lead to low cycle fatigue failure in the reinforce-
ment in structures under reversing loads.
-41-
(5) In an eight bar arrangement with 100% of the bars
spliced, slip of interior bars controlled capacity.
Splitting cracks first appeared along interior bars at
the offset and then propagated from both end regions
into the splice. They were first obser~ed as the load
approached yield. As the tensile load approached
ultimate, interior spliced bars slipped and transferred
load to the corner bars. Longitudinal splitting was
not as well contained for interior bars as it was for
corner bars.
(6) Transverse reinforcement was effective in controlling
longitudinal splitting and bar slip as well as yield
penetration along the spliced bars.
(7) The amount and distribution of transverse reinforcement
have a critical effect on ductility, strength and
behavior of lap splices. An insufficient amount of
hoop reinforcement at the ends of a splice can lead to
reduction in ductility and strength, and to severe
damage within the splice region. From measurements of
strains in transverse reinforcement, it appears that
closely spaced hoops at the ends of a splice would .
improve performance. Hoops at the ends of the splice
were more effective than interior hoops in resisting
splitting and bursting of the concrete.
(8) If the design criteria for lap splices is strength,
the 1976 UBC Code requirements for confinement in
seismic regions are conservative with regard to amount
-42-
of transverse reinforcement around the splices. In S8
Specimens, which had a four corner bar arrangement, a
reduction of 83% in the required transverse reinforce
ment caused a reduction of only 15% in strength. In
S6 Specimens, which had an eight bar arrangement, a
reduction of 50% in the required transverse reinforce
ment caused a reduction of 15% in strength.
(9) Transverse hoops must be in contact with longitudinal
bars to be effective.
-43-
ACKNOWLEDGMENTS
This investigation was carried out in the Structural Devel
opment Department of the Portland Cement Association, Dr. H. G.
Russell, Director. Fabrication and testing of specimens were
performed by B. J. Doepp, B. W. Fullhart, W. Hummerich, A. S.
Evans, W. H. Graves.
J. Julien assisted with preparation of the manuscript.
E. M. Ringquist provided editorial assistance.
The research was supported by the National Science Founda
tion under Grant No. ENV 77-15333 and by the Portland Cement
Association. Any opinions, findings, and conclusions expressed
in this publication are those of the authors and do not neces
sarily reflect the views of the National Science Foundation.
-44-
REFERENCES
1. "Building Code Requirements for Reinforced Concrete (ACI318-77)", American Concrete Institute, Detroit, 1977, 102 pp.
2. "Uniform Building Code", 1976 Ed., International Conference ofBuilding Officials, Whittier, California, 1976, pp. 300-406.
3. Orangun, C. 0., Jirsa, J. 0., and Breen, J. E., "A Reevaluation of Test Data on Development Length and Splices",Journal of the American Concrete Institute, Proc. Vol. 74,No.3, March 1977, pp. 114-122.
4. Arthur, P. D., and Cairns, J. W., "Compression Laps of Reinforcement in Concrete Columns", The Structural Engineer,No.1, Vol. 56B, March 1978, pp. 9-12.
5. Betzle, M., "Bond Slip and Strength of Lapped Bar Splices",American Concrete Institute, SP 55-20, Douglas McHenry International Symposium on Concrete and Concrete Structures, 1978,pp . 49 3- 514 .
6. Ismail, M. A. F. and Jirsa, J. 0., "Behavior of AnchoredBars Under Low Cycle Overloads Producing InelasticStrains", Journal of the American Concrete Institute, Proc.Vol. 69, No.7, July 1971, pp. 433-438.
7. Hassan, F. M. and Hawkins, N. M., "Effects of post-YieldLoading Reversals on Bond Between Reinforcing Bars andConcrete", Report SM 73-2, Department of Civil Engineering,University of Washington, March 1973, 244 pp.
8. Popov, E. P., "Mechanical Characteristics and Bond of Reinforcing Steel Under Seismic Conditions", Proceedings, Workshop on Earthquake-Resistant Reinforced Concrete BuildingConstruction, Berkeley, July 1977, pp. 658-682.
9. Brown, R. H. and Jirsa, J. 0., "Reinforced Concrete BeamsUnder Load Reversals", Journal of the American ConcreteInstitute, Proc. Vol. 68, No.5, May 1971, pp. 380-390.
10. Hawkins, N. M., "Development Length Requirements forReinforcing Bars Under Seismic Conditions", Proceedings,Workshop on Earthquake-Resistant Reinforced Concre~e
Building Construction, Berkeley, July 1977, 696-704.
11. Oesterle, R. G., Fiorato, A. E., Johal, L. S., Carpenter,J. E., Russell, H. G., and Corley, W. G., "EarthquakeResistant Structural Walls - Tests of Isolated Walls",Report to National Science Foundation, Portland CementAssociation, Skokie Nov. 1976, pp. 315. (Available throughNational Technical Information Service, U.S. Department ofCommerce, 5285 Port Royal Rd., Springfield, Va., 22161,NTIS Accession No. PB271467.)
-45-
APPENDIX A - ADDITIONAL REFERENCES
1. ACI Committee 318, "Commentary on Building Code Requirementsfor Reinforced Concrete (ACI 318-77)", American ConcreteInstitute, Detroit, 1977, 102 pp.
2. ACI Committee 408, "Bond Stress - The State of the Art",Journal of the American Concrete Institute, Proc. Vol. 63,No. 11, November 1966, pp. 1161-1189.
3. ACI Committee 408, "Opportunities in Bond Research", Journalof the American Concrete Institute, Proc. Vol. 67, No. 11,November 1970, pp. 857-867.
4. ACI Committee 408, "Interaction Between Steel and Concrete",Journal of the American Concrete Institute, Proc. Vols. 76and 77, No.1 and 2, January and February 1979.
5. Bresler, B. and Bertero, V. V., "Behavior of ReinforcedConcrete Under Repeated Load", Journal of the StructuralDivision, ASCE, Vo. 94, No. ST6, June 1968, pp. 1567-1590.
6. "Building Code Requirements for Reinforced Concrete (ACT318-71)", American Concrete Institute, Detroit, 1970, 78 pp.
7. Chinn, J., Ferguson, P. M., and Thompson, J. N., "LappedSplices in Reinforced Concrete Beams", Journal of theAmerican Concrete Institute, Proc. Vol. 52, No.2, October1955, pp. 201-213.
8. Colaco, J. P. and Siess, C. P., "Behavior of Splices inBeam-Column Connections", Journal of the Structural Division, ASCE, Vol. 93, No. ST5, October 1967, pp. 175-193.
9. Ferguson, P. M., "Small Bar Spacing or Cover - A Bond Problem for the Designer", Journal of the American ConcreteInstitute, Proc~ Vol. 74, No.9, September 1977, pp. 435-439.
10. Ferguson, P. M. and Breen, J. E., "Lapped Splices for HighStrength Reinforcing Bars", Journal of the American ConcreteInstitute, Proc. Vol. 62, No.9, September 1965, pp. 10631077.
11. Goto, Y., "Cracks Formed in Concrete Around Deformed Tension Bars", Journal of the American Concrete Institute,Proc. Vol. 68, No.4, April 1971, pp. 244-251.
12. Ismail, M. A. F. and Jirsa, J. 0., "Bond Deterioration inReinforced Concrete Subject to Low Cycle Loads", Journal ofthe American Concrete Institute, Proc. Vol. 69, No.6, June1972, pp. 334-343.
A-I
13. Lutz, L. A. and Gergely, P., "Mechanics of Bond and Slip ofDeformed Bars in Concrete", Journal of the American ConcreteInstitute, Proc. Vol. 64, No. 11, November 1967, pp. 711721.
14. Nilson, A. H., "Internal Measurement of Bond Slip", Journalof the American Concrete Institute, Proc. Vol. 69, No.7,July 1972, pp. 439-441.
15. Orr, D. M. F., "Lap Splicing of Deformed Reinforcing Bars",Journal of the American Concrete Institute, Proc. Vol. 73,No. 11, November 1976, pp. 622-627.
16. Perry, E. S. and Jundi, N., "Pullout Bond Stress Distribution Under Static and Dynamic Repeated Loadings", Journalof the American Concrete Institute, Proc. Vol. 66, No.5,May 1969, pp. 377-380.
17. Pfister, J. F. and Mattock, A. H., "High Strength Bars asConcrete Reinforcement Park 5. Lapped Splices in Concentrically Loaded Columns", Journal of the PCA Research andDevelopment Laboratories, Vol. 5, No.2, May 1963, pp. 2740. Also reprinted as PCA Development Department BulletinD63.
18. "Reinforcing Bar Splices", Third Ed., Concrete ReinforcingSteel Institute, Chicago, 1975, 30 pp.
19. Rezansoff, T., Bufkin, M. P., Jirsa, J. 0., and Breen, J.E., "The Performance of Lapped Splices Under Rapid Loading",Research Report 154-2, Center for Highway Research, TheUniversity of Texas at Austin, January 1975, 92 pp.
20. Rice, P. F., "Rebar Splices: Cutting Costs, AvoidingErrors", Civil Engineering - ASCE, Vol. 47, No.8, August1977, pp. 73-74.
21. Somerville, G. and Taylor, H. P. J., "The Influence of Reinforcement Detailing on the Strength of Concrete Structures",The Structural Engineer, Vol. 50, No.1, January 1972, pp.7-19.
22. Tepfers, R., "A Theory of Bond Applied to Overlapped Tensile Reinforcement Splices for Deformed Bars", Publication73:2, Division of Concrete Structures, Chalmers Universityof Technology, Goteborg, 1973, 328 pp. -
23. Thompson, M. A., Jirsa, J. D., Breen, J. E., and Meinheit,D. F., "The Behavior of Multiple Lap Splices in Wide Sections", Research Report 154-1, Center for Highway Research,The University of Texas at Austin, January 1975, 75 pp.
A-2
24. "Uniform Building Code", 1976 Ed., International Conferenceof Building Officials, Whittier, California, 1976, pp. 300406.
25. Untrauer, R. E. and Warren, G. E., "Stress Development ofTension Steel in Beams", Journal of the American ConcreteInstitute, Proc. Vol. 74, No.8, August 1977, pp. 368-372.
A-3
APPENDIX B - TEST RESULTS
In this section results for each test are presented in
detail. Specimen behavior during testing is described and
supporting data are presented.
The following results are included:
a. Load vs. axial elongations
b. Crack patterns and distribution of crack widths.
c. Load vs. strain, and strain distribution along longi
tudinal reinforcement.
d. Load vs. strain of transverse reinforcement.
The test program and results are summarized in Tables 2 and 5,
of the main text.
S6 Specimens
Four Specimens S6-l, S6-2, S6-3, and S6-4 were built using
No.6 bars as longitudinal reinforcement. Controlled variables
included type of loading and amount of transverse reinforce
ment. Specimens S6-l and S6-4, tested under monotonic loading,
were companions to Specimens S6-2 and S6-3, which were tested
under load reversals.
Specimens S6-l, S6-2, S6-3, and S6-4 differed in amount of
lateral reinforcement. Specimens S6-l and S6-2 were built with
confinement according to seismic provisions of the 1976 Uniform
Building Code. (2) To investigate effects of amount of
transverse reinforcement, Specimens 36-3 and S6-4 were built
with 50% of the code required transverse reinforcement.
B-1
Details of specimens are given in Fig. 4b and Table 2. The
splice length was 33 in. (0.84 m). Material properties are
summarized in Tables 3 and 4. Calculated and observed yield,
and maximum loads and modes of failure, are summarized in
Table 5.
Specimen S6-l
Plots of load versus elongation are shown in Fig. B-1.
Initial and final crack patterns are shown in Fig. B-2.
Cracking was first observed at a load of 47 kips (209 kN).
Distribution of initial cracks was uniform over the column
portion of the specimen. As loading progressed, cracks at the
ends of the lap were observed to grow wider than those at other
locations. Widest cracks were observed at the location of the
offset. Measured crack widths are presented in Fig. B-3.
Initial yielding of the longitudinal reinforcement was
indicated by strain gage measurements at a load of 225 kips
(1001 kN). Full yielding was measured at 246 kips (1094 kN).
This is evident in the load versus elongation curves shown in
Fig. B-l.
Measured strains in the longitudinal reinforcement are
plotted in Figs. B-4, B-5, and B-6. The plot of strains along
corner bars, as shown in Fig. B-6, indicates a consistent
"anti-symmetric" distribution along each bar in the splice. As
load increased the strain distribution tended to become linear.
At a load of 200 kips (890 kN) spalling of concrete cover
was observed at the offset as a result of bursting forces that
developed. This was also evident from measured strains in
B-2
load,I<ips
Elongation. mm
400 rO .:.;10;- -=,20:=.-. ---. Load,
I<N
300
200
100
o
DeDr 2 X 1500
DeDr l - - ---'XX--'" .,. ==-- ' 15Ci)i- 3-'-'1000
X Gage out
500
o 0.2 0.4 0.6 0.8
Efonga tioo, in.
Pot I
124" D./5m)
0 C DeDr I DeDr 2 DeDr 334.5" 1 33" I 34.5" I
I = ~ = =/ I
0 0 10.88ml . /084ml (0.88ml ISplice
Toto I E.longation, mm
load, 400 0r- ~-----"'5~0'-----~----_..!'10e;.0:!.-----_,k. ips
__--.... PoLl
300
200
100
-~Cracking
Load.
kN
1500
1000
500
o l..- -"" .-i- -'-- --' ..JO° 1.0 2.0 3.0 4.0 5.0
Total Elongation I in.
Fig. B-1 Axial Deformations of Specimen 56-1
B--3
tJ:J I ot:>-
Splic
e(O
ffset
i-I1
Jt-j
(a)
In
itia
lC
rack
Patt
ern
Spli
ceIO
ffset
,......
....,
(b)
Fin
al
Cra
ck
Patt
ern
Fig
.B
-2C
rack
Patt
ern
so
fS
pecim
en
S6
-1
CONSTRUCTIO~J TECHNOLOGY LABORl\fORiES
Oat8 _
A Division of the PORTLAND CEi'v1ENT ASSOCIAT!Of\JOld Orchard Road, Skokie, Illinois 60076/ Area Code 312/966-6200
Title _
Project Sheet of _
Initials _
Checked Dat8 Revised Oate _
ttl I U1
Cra
ck
Wid
th,
in.
0.2
1'\
/\
"I
\"
I\
0.1
f-"
I\
"I
\\.
I,
I,
I,
I"
I"
I__
,I
ot=
-:--
---:---:---",
I--_.::.::~--
----
"'<
'
-===
====
==="
:...._
-'"
Cra
ck
5.0
Wid
th,
mm
p::
311
Kip
s(1
38
3kN
)
P=
24
7K
ips
(10
98
kN)
p::
22
9K
ips
(101
9kN
)P
::15
2K
ips
(67
6k
N)
p=
61K
ips
(271
kN)
..--
----
--.......
.---
--
-,....'
--
----
----
:"'7
\,------
-------
Off
se
tI..
...!
33
"(O
.84
m)
Fig
.B
-3M
easu
red
Cra
ck
Wid
ths
inS
pecim
en
S6
-1
Load, 400 Load,
kips kN
GI GZ
1500
300
G3
1000
ZOO
500[00
0 0
0 2500 5000 7500 [0000 [2500
Strain, millionths
II"
Gt
II" f II" J OffsetG5
j!- ! : ~bor
! \ ! i ! !
'~SlraightG3 G2 GI
bar Splice
Load, 400 Load,
\( ips I kN
G4 G5
JI500G6 I
300
11000
200I
II
I[00
~~0a 2500 5000 7500 10000 [Z500
Strain, millionths
Fig. B-4 Load versus Steel Strains in Corner Barsfor S':leciDen S6-1
3-6
G9
GIO
I',
I,
/"
""
""
""
""
""
""
,I
I,
I')
G8
G7
Lo
ad
,ki
ps
40
0I
I(
,I
,t
G7
Lo
ad,
kN
50
0
15
00
10
00
G8
GIO
12
50
0
G9
1000
0
-_
.-.-.-_
.--
-----
--'
-_.
75
00
50
00
-----------
-_.-
_.-
_.-
.
25
00
/If'
oI
10
II
or
II
15
00
0
20
0
100
30
0
tel J -J
Str
ain
Im
illio
nth
s
Fig
.B
-5L
oad
vers
us
Ste
el
Str
ain
sin
Inn
er
Bars
for
Sp
ecim
en
S6
-1
- Yield Level
0.002
0.00/ Strain
0.001 Stra in
o
o
0.002
- Yield Level
1 f I ! I IIII
I I ! ! I I ! II
20Distance, in.
10
---------7------
<:'P=350 kip s/ (1557kN) /
/ //
P=229 kips/
/ !~O~~
II __?~P=213 ki"ps
//" (947 kN)
//I ~ -----.::'-P-=-12-1 kip s
(538 kN)
o 3,Q
//P= 121 kips /;/ /
{538 k~ _.,;::.:/
r--;:-- /P=213kiPJ/Y I(947~ /
\,/ / P=350 kips
0.002 //A / (1557 kN)
/ / P=229 kiP~ ,__ L _ JI019~N.2.. _
o
0.002
0.001
Strain 0.001
Strain
I I I I I I I I I I II I I I I I I I I I I I I I I I I !I
Fig. B-6 Strain Distribution Along Corner Spliceof Specimen S6-1
transverse hoop reinforcement. Figure B-7 is a plot of applied
load versus strains in selected hoops. Measured strains in Gage
No.2, on a hoop at the offset, indicate that this hoop was
effective almost from the onset of loading. The hoop instru
mented with Gage No.1 was ineffective throughout the test.
This hoop was not in contact with longitudinal reinforcement.
Significant longitudinal splitting cracks were observed at
the ends of the splice and along the interior bars at a load of
326 kips (1450 kN). Hoop strains in Fig. B-7 indicate that
transverse expansion began at an earlier load stage, but was
not visually evident. As load approached ultimate, interior
spliced bars slipped and transferred load to corner bars. At a
load of 357 kips (1588 kN), corner bars fractured at the offset
bend. It was apparent that longitudinal splitting was not as
well contained for interior bars as it was for exterior bars.
This is attributed to the fact that the exterior bars were
located within the corners of transverse hoops.
The specimen reached a capacity equivalent to 94% of its
calculated strength. Calculated yield and maximum loads, based
on average reinforcement properties, are listed in Table 5.
Specimen 56-2
Plots of load versus elongation are shown in Fig. B-8.
Initial and final crack patterns are shown in Fig. B-9.
Cracking was first observed at a load of 47 kips (209 kN).
Initial cracking was uniform. Cracks at the ends of the splice
were observed to grow wider than those at other locations.
B-9
Loa
d,
kN
50
0
1500
10
00
2
Sp
lice
dS
tee
l
3
2
45
I1
/7,-
)001
• \1/
r\!I
'\i
\ ~\ \
\
Lo
ad
,4
00
I
iii5
kip
s
30
0rIlf / It I:
20
0If!
'lJ
j I f....
0
10
0
o1
00
02
00
03
00
04
00
05
00
06
00
0
Str
ain
,m
illio
nth
s
Fig
.B
-7L
oad
vers
us
Ho
op
Str
ain
sfo
rS
pec
imen
S6
-1
Load.l\ips
300
200
100
-100
Deor CD
0.5 La
Relative elonqotion. in.
(a)
300
\.ocor C?)
10
(b)
-200 -200
Deer 2 , oeeT~3I .33' ,34.5" II
<= S
Deer (4)102" ( 2.59 m) .. I:-
o~ .=~/ :. J t
o (O.88m) j(O.84m) (O.88m) I I'-- ..J Spite. .
o
Load.kips
300
200
a i
°1I
-100 I
I
Load,lei".,
300
200
1.0
elonqation~ in.
=100
(e)
2.0 3'0
Totof elongation, in.
( d )
-200 -200
Fig. B-3 Axial Deformations of Specimen 86-2
B-ll
tJ:) ! }--'
N
/ ~~
I.....
Sp
lice
I
(a)
Init
ial
crac
kp
att
ern
(b
)F
ina
lc
rac
kp
att
ern
Off
se
t
~~ "
Fig
.B
-9C
rack
Patt
ern
so
fS
pecim
en
S6
-2
Figure B-lO shows crack widths at the peaks of tensile loading
cycles. As expected, inelastic load reversals caused progres
sive permanent deformations and subsequent growth of the
specimen.
Full yield load and ultimate strength were identical to
those measured in monotonic test 56-I. Full yield load was 246
kips (1094 kN) and load capacity was 357 kips (1588 kN).
Measured strains in longitudinal reinforcement are shown in
Figs. B-ll, B-12, B-13, and B-14. Strains along the inner bars
shown in Fig. B-14 indicate an "anti-symmetric" distribution
along each bar in the splice. As tensile loads increased the
strain distribution became linear. A similar strain distribu
tion in the longitudinal reinforcement was observed in Specimen
56-I, as shown in Fig. B-6. Yield "penetration" within the
lapped bars varied from 1/3 to 1/2 of the splice length.
Figures B-15 and B-16 show measured strains in transverse
reinforcement. Strain readings in hoop No.1, which was located
at the edge of the offset, indicates that transverse expansion
began from the first load stage. Strains in hoop Nos. 1, 2,
and 3, which were at the offset end of the splice, indicate that
these hoops were more effective than other hoops along the
splice. The closer the hoop to the ends of the splice, the more
effective it was, particularly at the offset end. This is clear
from the sequence of yielding in the hoops. Hoops 1, 2, and 3
yielded as applied tensile load reached 307 kips (1366 kN), 314
kips (1397 kN), and 346 kips (1539 kN), respectively.
Strains in the hoop at the edge of the straight end of the
splice indicated that this hoop was not as effective as those
B-13
Tensile load = 242 kips (1076 kNl
in cycles I, 2, 3, and 4
Crockwidth,mm
2.0
1.0
'\I.I \I ~
: \I \\ :1\ \ (4)X'-', I. \1
\. i :/ ',\(31" ' Ii 1\ I
~'~ '\\. il/ \~21
/ ~' [II \, II \I {II
OL-.----.......:::.~~---.....JO
0.100
0.050
Crackwidth,in.
____________~:_=====_-=_='_=--==_~_:-=-=:_=-~-==='="----.JI - _
------------------ -------'"::"'"
I. .1\33" (O.84m) I '--Offset
( a I Tensile load = 242 kips ( 1076 kN )
0.250
Crackwidth,in.
0.125
Crock5.0 width,
mm
Tension load = 302 kips (1343 kN)in cycles 2, 4, and 4
M = monotonic loading after
cycle 6
OL----~=~--'----.....JO
--------------- - ~---=-_-=..::="'~---=- ...-----------------
r=======~I-~-=-~-~-=-~$~=====----------
• 33" (0,84;) "'-Offset
( b) Tensile load 302 kips (1343 kN)
Fig. B-10 Measurpd Crack Widths in Specimen 56-2
B-14
Load, Load,kips kips
300 300
"GI G2
200 200
100 100 Gage G3 Out
5 00 5000
Strain, millionths Strain, millionths
-100 -100
-200 -200
I"II" II"
9" IG6"':4...1 ..
IGS: : : : : : : 4('~; 'IG3 G2 GI
Splice
Loads,kips
3°°1G5
200
0: Gage out
Strain, millionths
100
)
Loads,kips
300
200
-100
5000
4
Strain, millionths
Loads,kips,300
-100
Fig. B-ll Load versus Steel Strains inCorner Bars for Specimen S6-2
B-15
Lo
ad,
Loa
d,
kips
kipb
30
03
00
G7
I/}G
8
20
02
00
10
010
0
50
00
Sif
oin
,m
illio
nths
-20
0
-'0
0
o-Il
Io
-100
-20
0
Lood
ki~S
'I
Loa
d,
OO
Tki
ps
"-3
00
ifjf
"2
00
100
69
}XG
oge
out
°01~_I_
_I
L!S
ifo
in,
100
Loa
d,
kips
30
0
-'0
0
-20
0
50
00
Stf
oin
,m
illio
nths
O-.f----<
-10
0
-20
0
0"I
015
00
0S
lrai
n,
mill
ionl
h$
-10
0
-20
0tJ
j I f-'
m
!"."'~
i',
,,~;
II
;1&'I
II':C:="~
,,,,
'IG
9G
BG
7
Sp
lici
° 0'
lI_
!__
If1
1/1
....-;/
I/
~-'--
-100
·
10
0
20
0
Lo
ad,
kips
30
0
-20
0
Fig
.B
-12
Lo
adv
ers
us
Ste
el
Str
ain
sin
Inn
er
Bars
for
Sp
ecim
en
S6
-2
1kip = 4.448 kN
'* Numbers within parenthesesindicate cycle
I I II I ! I I
Strain
- Yield Level
Strain
0.001
0.001
0.002
.......
- ---- - ---7-' ,- --• ,*. • I
P =337 kips (M~/ I ,'P= 245 kips/,; I (I)
/ ,,/" I.' /' I
/ . I...~P=300 kips
//- -~~- I
/ /1///(/ / '-P-=-15-4-k-jp-s""'":(-I)::-'
if~
Distance, in.
Gages Out
0.001
0.001
0.002
Strain
Strain
I I I
0.002I /
I .________ Ll _0.002
- Yield Level
Fig. B-13 Strain Distribution AlongCorner Splices of Specimen S6-2
B-17
1kip == 4.448 kN
* Numbers within parenthesesindicate cycle
j]
aIii I I J i I ! \ ! I ! I I J I I 1 I I I
Strain
- Yield Level
0.002
o
0.001
Strain
- Yield Level
0.001
0.002
I i II I I
I20
Distance, in.
- --- - - --.T -71----p= 337 kips (Mi" /' J P=300 kips (2)
.. /' I
/. ..././ ......... ..../~-P:245 kips (i)
;(5/p/ P= /54 kips (I)
/;/'
0.001
oI I I I
0.002
/'
P== 154 kips "
0.001 i7'P =245 kj';'~/----/.
J-- ~.I .
1I ......... P=300 kipsI r .'
0.002 ",' ./p = 337 kipsI •
- ----~~-----------
Strain
Strain
I I I
Fig. B-14 Strain Distribution AlongInner Splice of Specimen S6-2
B-18
Load,kips
300
200
-/00
Strain, millionths
-200
d
Spliced Sleel(0.30m) d (0.25m)
12" /.//,. /0"
(0.2.5 m)10"
SlrOI(~11t end
I ,.: . II . • II I I
, I
I -T / I I I j I I f I I ! I -1
= ill tIl I I I I [J I II .li1' I I I I<h',1' 1- \~' I
1/
~ ~l~ 2)~~OffsetI
5 ..n
load,kips
300
200
-100
Slroin, millionths
-200
Fig. B-15 Load versus Hoop Strains forSpecimen 56-2: Gages 1 and 2
B-19
d
4
°Offif-------'-----I1000
Strain, mfllionfh,
300
roo
-100
Load,kips
-200 •
Spliced Steel(a.30m} d (0.25 m)
12" / /I. 0 10":-"
3 a
3
2 00
, . .; , 1;7 I
I i / I
I I L ! I I l I I I I=- I'! I III I I I., f ~ ',I I I Ifl
I I I 'to IIf \
~ ~~~OffsetI
( ® 0)3 en
Strain, millionths
{025m}
10"
-100
-200
Slraight end
-100 -\00
Load,kip.
300
200
100
Load,kip.30
a 2000Strain, millionth'S
-200 -200
Fig. B-16 Load versus Hoop Strains forSpecimen S6-2: Gages 3, 4, 5,and 6
B-20
at the offset end, and that this hoop became effective after
yielding of the longitudinal reinforcement occurred. Since
both ends of the splice are practically identical except for
the presence of the offset and the relative position of the
lapped bars, the main source of transverse expansion within the
splice is the internal moment induced by the eccentricity of
the lapped bars. Offsetting bars causes bursting forces at the
offset-end and concentrates bursting of the concrete in a small
region.
Bursting or radial forces are resisted by concrete cover,
hoop reinforcement, and dowel action of the exterior corner
bar. At the offset end, radial forces are resisted mainly by
hoop reinforcement. The contribution of the concrete cover at
the offset-end is reduced by the bursting forces induced by
offsetting of bars. This explains the high concentration of
damage at the offset end region of the splices.
splitting cracks were first observed at the ends of the
splice and along the interior lapped bars at a load of 232 kips
(1032 kN) during first half cycle. This is also the load at
which yielding of interior lapped bars was first observed.
Specimen S6-2, after being SUbjected to six load reversals,
reached a load capacity identical to that of Specimen 56-1.
However, the final mode of failure was by bar fracture. All
eight bars fractured at the offset-end. Calculated yield and
maximum loads are listed in Table 5.
B-21
Specimen S6-3
The main difference between Specimen S6-3 and previous
specimens was the amount of transverse reinforcement. Specimen
S6-3 had 50% of the hoop reinforcement that was used in
Specimens S6-l and S6-2. Specimen S6-3 was subjected to load
reversals.
plots of load versus elongation are shown in Fig. B-17.
Initial and final crack patterns are shown in Fig. B-18.
Cracking of the concrete was first observed at a load of
46 kips (205 kN),. Figure B-19 shows crack widths along the
splice. The magnitude and distribution of cracks were similar
to those observed in Specimens S6-l and S6-2. As in Specimen
S6-2, load reversals caused progressive permanent deformations.
Figures B-20, B-2l, and B-22 show strains along the spliced
reinforcement. Figure B-23 shows strains along the corner bars
at load stages of the first two cycles. The anti-symmetry and
the tendency of the strain distribution to become linear are
apparent. Yield penetration was eventually equivalent to about
2/3 of the splice length.
Strains in hoop reinforcement are shown in Figs. B-24 and
B-25. The effectiveness and sequence of yielding of the hoop
reinforcement were similar to those observed in Specimen S6-2.
As in Specimen S6-1, hoop No. 1 was not effective. Hoops at
the ends of the splice were effective, particularly those at
the offset end.
Splitting cracks were first observed at the offset end of
the splice and along the interior lapped bars at a tensile load
of 233 kips (1036 kN) during the first cycle. These splitting
B-22
Load,Load,kips
kips 300300
200 200
100 100
I
B 1.0
Ielonqotion, in.
I -100-100
-200 -200
DeDT@., (102 2.59m)
0 oj ocoTffi I oeor6:I1345 I 33' I 345" iJ
:::::s S!'
0 0 to. 88m} (~4m) (0.88m)Splice
Load,!cios
300
200
-100
in.
-200
Fig. B-17 Axial Deformations of Specimen S6-3
B-23
tJj I N ~
Sp
lice
1(of
tset
I"I
\ \\
(a)
Init
ial
crac
kp
atte
rn
(b
)F
inal
crac
kp
att
ern
Fig
.B
-18
Cra
ck
Patt
ern
so
fS
pecim
en
S6
-3
Tensile lood = 248 kips (1103 kN)
in cycles I, 3, and 5
Crockwidth,mm
50(316(S~\
. \.I \
y(SJ / iI \ I i
1.0 //),..-{31 .I i 2.S
A'\\ I \- '\ .1\.
0.2Crockwidth,in.
--------__ -!=--=~==-=-=_-=_=-=-=:_=_::-__--:-::-::-=-===-=.J _
----------------~~===~~~=~~===,--------
\t-.....----........~j Offset
, 33" {0.84m .
{a 1 Tensile load = 248 kips (1103 kN)
Crack 0.2width,in.
0.\
Crackwidth,mm
Tensile laod = 304 kips (I352 kNI
in cycles 2, and 4
----------------~~~-~~----------------
- - -- - --------- -~~-=--=-..='"-==----------- -------
133" (0.84m) I Offsel
(b) Tensile load =304 kips (1352 kN)
Fig. B-19 Measured Crack Widths in Specimen S6-3
B-25
Load, Load,kips kips
300 300
GI
200 200
0-1''-----------j'---:..--------/10,000 20,000
Strain, millionths
100
5000Strain, millionths
100
-100 -100.
-200 -200
I)
II" " ",'~ 1!"~-4-,-11_•.J .. ':J -iI IG5 G6L! i 'E ! ; ,::::.::r:C:====:::::::lG3 G2 GI t
Splice
Load,kips
300
-100
30,000
-200
Fig. B-20 Load versus Steel Strains in Corner Barsfor Specimen S6-3: Gages Gl, G2, and G3
B-26
Load,kips
300
200
G4
5000
Load,kips
300
200
G5
100
O......~----io 5000
Strain, millionths Strain, millionths
-100 -100
-200 -200
J
Load,kips
30
200
-100
1-200 .....
r II"
L'G3 G2.
Fig. B-2~ Load versus Steel Strains in Corner Barsfor Specimen S6-3; Gages G4, GS, and G6
B-27
Gag
eG
7D
amag
edD
uri
ng
Test
Lo
ad
,ki
ps 30
0
G8
20
0
100 °o
f5
00
010
.boo
Sir
oin
,m
illio
nth
s
-10
0
-2
0J
Loa
d.ki
ps 30
0
Str
oin
,m
illio
nth
s
-10
0'-
-20
0
10:0
00
txJ I tv coL
oad
,L
oad
,L
oad
,ki
pski
pski
ps
30
0...
•
'O°ff
30
0-
GIO
Gil
i..J
I/G
12
20
02
00
200-
100
10
0
0.:
50
00
0 05d
oo
'1-
Str
oin
,m
illio
nlh
sS
troi
n.m
illio
nths
Str
oin
,m
illio
nth
s
-'''I-1
00
-10
0
-20
0-2
00
-20
0
II"
II"
,,"
1-"!~IO
~I;II
"IGI2
2'
/I
IIIii1i
!:E
.§'
iI
II
,I
~1
'1
11
III
II!
11
,1I~
G9
G8
G7S
plic
e
Fig
.B
-22
Lo
adv
ers
us
Ste
el
Str
ain
sin
Inn
er
Bars
for
Sp
ecim
en
S6
-3
1kip:: 4.448 kN
* Numbers within parenthesesindicate cycle
Strain
0.002
0.001
-----------;-T---- - Yield Level
I /p:: 250 kips
/• I (I) 0.002
* IP = 301 kips (2)/' /I
/ .,...1, .,..""
.(~.,.. ..../ .... _ Strain
:/ 0.001/. ".----~,---Io P=146kips(l)
/.
/;,961'
Strain
0.001Strain
o 0OII~I=I~I~III~I~IIlrIII~II~:~:~:~:~:~:~:~:~:~:~I:~:~:~:3:~:E:~:~:~I~:~:~:~:~:~:~:§l~:~:,P'~11 II! II III I
o 10 20 30 0Distance, in. /y
/.
//// .
///' , 0.00/
,// .~= 301 kips (2)
P=250 kips (I) ,.- / . /\,,.-/ // .
/ /0.002 /// /' 0.002
/' 1_-.l_-.! L - Yield Level
Fig. B-23 Strain Distribution AlongCorner Splice of Specimen S6-3
B-29
Load, Load,kias kips
300 300
200 I 200
100
°0I
1000 4000Strain, mtllionthos
-100
~~-100
\
-200 -200
6000
Offset.I
4000Strain, millionths
33"Splice
2000
I·
I
L I I I I I I I I I I~I I I 1 1 I I I I
? l
-100
Load,kias
- 200 .L
Fig. B-24 Load versus Hoop Strains forSpecimen S6-3: Gages 1, 2,and 3
B-30
Load,kips
300
4
200
100
Strain, millionths
-100
4000 6000
-200
2000
if Sfroin, millionths
~t
Offset
-200
-100
Load,kips
300
.133"
Splice
I.
I
Q I I I I I I I L-::,I I I I I I I I !
? lI
Load,
"::t~,oof
9]*"1-+U+-I'--------'-2.0"!'""0:-::0--------:4"':-OOO.,...,,---
\ Sirain, millionths
-100 \
-2.001Fig. B-25 Load versus Hoop Strains for
Specimen S6-3; Gages 4, 5,and 6
B-31
cracks penetrated 8 in. (0.20 m) into the splice at the peak
tensile load of the second cycle. At the peak tensile load of
the sixth cycle, splitting cracks crossed most of the splice
causing the inner bars to pullout. Splitting cracks were also
observed along the corner bars as shown in Fig. B-18. The
corner splitting cracks were first observed at the peak tensile
load of the third cycle. It is important to note that immedi
ately before the inner bars pulled out, hoop Nos. 3, 4, and 5
yielded. This may have permitted propagation of splitting
cracks along the splice.
Specimen S6-3 failed at the peak tensile load of the sixth
cycle. The mode of failure was by "splitting-bond" of the
inner bars. Corner bars fractured after inner bars pulled out.
Calculated and measured strength~ are listed in Table 5.
Specimen S6-4
Specimen S6-4 was a companion to Specimen S6-3, but
Specimen S6-4 was monotonically loaded. Strength, ductility,
and behavior of S6-4 were similar to those of S6-3.
plots of load versus elongation are shown in Fig. B-26.
Initial and final crack patterns are shown in Fig. B-27.
Figure B-28 shows crack widths along the splice. Most of
the axial deformation was concentrated at the offset end.
Figures B-29, B-30, and B-3l show strains along the spliced
reinforcement. Figure B-3l shows the anti-symmetry and the
tendency of the strain distribution to become linear. The data
indicate a yield penetration of about 2/3 of the splice length.
B-32
Lood,kips
DeoTeD
0,2.0 0.40 0,60 0,80Relative elongation, in.
1.00 1.2.0
o
o
OI+----i-.,..--r-~-(-O.-8-8-m':""iIEJ'-----_....Load,
kics
300
200
0;to-----~0~,:t50;:;------~I"""J,O;-;:0:-------'71.'=50::------2.:-00
Relative elonqation1
in.
Fig. B-26 Axial Deformations of Specimen 86-4
B-33
Off
set
(a)
Init
ial
crac
kp
atte
rn
ttl r w .t>-
Off
set
~1(b
)F
inal
crac
kp
atte
rn
Fig
.B
-27
Cra
ck
Patt
ern
so
fS
pecim
en
S6
-4
5.0
tJj I W lFl
Cra
ck0
.2w
idth
,in
.
0.1
P=
27
2'k
ip,. \;\
/I I
II
P=
24
6ki
ps~'
\~2.5
P=
23
2~iP6]X\\
P=
18
4kI
ps
I\
\
P=
12
3kiP
Sm:-\
:•
I
--'-_-=:.~~-~
----
Cra
ckw
idth
,m
m
II
--
-------
--
----
----
---
--
=--=
---=
--=---=
...-==
---
----
----
----
----
----
---
-
---
----
----
----
----
----
---=
====
-=--=
--=-:
:---
I..
..-I )
Off
se
t
Fig
.B
-28
Mea
sure
dC
rack
Wid
ths
inS
pecim
en
S6
-4
Load,"kips
load.kips
300
10
OJ------------:IO::','::"OO::'O:::-------.-----,2,;;t";,o;;:;ono-----<
Strain, millionths
II" Ililt
I 11" !
[G4 LG5 iG6""'" IG3 ~2. t GI
Sgjlea
G4 (G5300 ;./ J-----
! I! Ii Ji Ii Ii Ji I
2.00 !Iif;1!IitilIIII
100 I ifq
11
V°6:!:-------I-------:10"..,"'"000::-::------------::2,-:'0:'="00"..0=------
Slrain, millionths
B-29 Load versus Steel Strains inCorner Bars for Specimen 56-4
B-36
xG
age
ou
t
II"
II".
1\"
1----:
....:...-
t1G
9"\
G10
)!I
II
::
::
:I
:I
II
::
II
II
11
II
l
·e:
(X7
.13
3"
Sp
lice
tJj I w -...
.J
Loa
d,ki
ps 30
0
20
0
10
0
G7
II::
:":="/
"~'_
.r
G10
"~
~._._-L
.
.G
8I····
....,Gil'
.-
f.
:
IIt
'--------
JG9
II
)---
~.
....---
------
I/,4
r~·-·-~-><
./'
/'
G12
:f/
/...
//
~///
j:>/
/.y
:!~
/ /~/ ~
.
00
50
00
10
,00
01
5,0
00
Str
ain
,m
illio
nth
s
Fig
.B
-3:0
S-t
rain
Dis
trib
uti
on
Alo
ng
Inn
er
Bars
for
Sp
ecim
en
S6
-4
1kip =: 4.448 kN
//Strain
0.002
0.001
-------r---j----P =288 kips/ /
/P=246 kips
I/
//
"./
",..
)",..//./
~/./
~/y
~
- Yield Level
0.002
Strain
0.001
It I
oI I I I ! II: : : : : : : : : : : : : : : : : : : i :
Io 10 20Distance, in.
P= 123 kips
Strain
0.001
0.002
//
/
0.001Strain
0.002
- Yield Level
Fig. B-3l Strain Distribution Along CornerSplice of Specimen 86-4
B-38
Strains in hoop reinforcement are shown in Fig. B-32. The
effectiveness and sequence of yielding of the hoop reinforce
ment were similar to those observed in Specimen S6-3. As in
previous specimens, hoop No. 1 was ineffective.
Splitting cracks were first observed at the offset end
along the corner and interior lapped bars at a load of 184 kips
(818 kN). The splitting propagated along corner bars and inner
bars causing the bars to pullout at the offset. As in
Specimen S6-3, hoop Nos. 3, 4, and 5 yielded immediately prior
to bar pullout.
Specimen S6-4 failed by "splitting-bond" of lapped bars.
Calculated and measured strengths are listed in Table 5.
S- 8 Spec imens
Four Specimens, 88-1, S8-2, 88-3, and 88-4, were built and
tested. Variables included type of loading and amount of
lateral reinforcement. Specimen 88-1 was a companion mono
tonic loading test to Specimen S8-2.
Transverse reinforcement in Specimens S8-1 and S8-2 con
sisted of No. 3 confinement hoops spaced 2 in. (51 rom) on cen-
ters. This amount of confinement met seismic provisions of the
1976 Uniform Building Code. (2) To investigate effects of trans-
verse reinforcement, Specimens S8-3 and S8-4 had No.3 hoops
spaced 12 in. (305 rom) and 4 in. (102 rom) I respectively.
Specimen S8-3 was subjected to monotonic loading and Speci
men S8-4 to reversing loading.
B-39
10~
T ~I
c:;
I~
.I'O
ffse
'
...3
3"
III1
il
Loa
d,ki
ps 30
0.,
.(i
)>:-
r--;
;-;'
f-...
.~-/~~-==---~~--------~
---
/I.../~'~
///
/',/
//6
/I
'/
/
I/
.;
//~
//
,LW
1/
®,I
/II
200-
11f/
/:
~I
/
I!I/
"I
/11/
1/:I
I'I
,)/
/:/
/I
10
0{/
1'
:I I}/
OJ I ,!,,> o
06
20
'00
4doo
66
00
80
00
Str
ain
,m
illio
nth
s
Fig
.D
-32
Lo
adv
ers
us
Hoo
pS
train
sfo
rS
pec
imen
S6
-4•
Details of 58 Specimens are given in Figs. 4a and Table 2.
The splice length was 60 in. (1.52 m). Material properties are
summarized in Tables 3 and 4. Calculated and observed yield, and
maximum loads and modes of failure, are summarized in Table 5.
Specimen 58-1
Load versus total and relative elongations are plotted in
Fig. B-33. Initial and final crack patterns are shown in Fig.
B-34.
Cracking was first obser~ed at a load of 44 kips (196 kN).
Initial cracks were located outside the splice length as shown
in Fig. B-34(a). Under increasing load, cracks at the offset
end grew much wider than those at other locations, as can be
seen in Figs. B-34(b) and B-35.
Initial yielding occurred at a load of 200 kips (890 kN).
This was followed by full yielding at 216 kips (961 kN). Mea
sured longitudinal strains are plotted as a function of applied
load in Fig. B-36. The distribution of longitudinal bar strains
along the splice is shown in Fig. B-37. Similar to 56 Speci
mens, the strain distribution became linear as loads increased.
At a load of approximately 120 kips (534 kN), severe crack
ing of concrete co~er was observed at the location of the
offset. This cracking was associated with bursting stresses
caused by the offset. As loading progressed the cover at the
offset spalled.
Figure B-38 contains load versus strain curves for the hoop
reinforcement. It is evident from the measured strains that
B-41
Elongation, mm
Lood, 4000r:- .-----:..-----.,10~ __r------'2T0'------,kips
1500
load,kN
300
200
100
....-:.:::-...:../
II• I
I I. f
1/. I
DC DT 2 DCDT 3 DCDT I.---- ------ .. ---=--- -- - -----0 __ -'-::::'~-----
1000
500
0 00 0.2 0.4 0.6 0.8 1.0
Relative Elongation. in.
joq OCOT 4]101124" (3.15m)
0 DeDT 2 DeDT 3 (0.5Im)(0.5Iml 60"(1.52ml 22"
=::; =c:::J
0 0Spli ce
Load,400
0 50 Total elongation mm lOG Lood,kips kN
1500
300 OCDT 4
200
100
1000
500
O"- --l.. -'- --'- ~O
o 1.0 2.0 3.0 4.0
Totol Elongotion ,in.
Fig. B-33 Axial Deformation of Specimen S8-1
B-42
tJ:I I ,Po
W
SP
lice/O
ffset
"'1
r"'ll(
\1IT
\l~
(a)In
itia
lC
rack
Patt
ern
/'
r--
,<-
'>1
11
""\
I~\~~,
,••
ll\
•.
"•
II
(b)
Fin
al
Cra
ck
Patt
ern
Fig
.B
-34
Cra
ck
Patt
ern
so
fS
pecim
en
83
-1
0.0
50
.....
Cra
ck
Wid
th)
in
p=
197
Kip
s/\
(87
6kN
)/
\
')/
\JC
rack
/\
Wid
th)
/\
1.0
mm
/\
/\
/p
=12
01<
lps
.\
0.0
25~-
----
/L(5
34
kN
)_
_.
~0.5
'"//
.--'-
-'\.
,"
.\
'.-.-."""
'/.--'
P=
44
KIp
s
---
---:
--/
_L~I~~~~_----,o
t--
-r
0tJ
j I .Po
.Po
I I , I \l-
J
......_--
----
----
----
-------------------=..:~.....-
----
----
----
--
I'"
'"
60
"_
IO
ffse
t
(1.5
2m
)
/---
----
-_...._
----
----
--_
..::.:==.==-=====--=:::..-...:-_---==-==--=~-------------------
Ir
,I
I I I t I
Fig
.B
-·3
5B
easu
red
Cra
ck
~'Jidths
inS
pecim
en
58
-1
load,kips
400 r--------,------,.-------.------,------, Load,kN
1500
------ ----------------------
500
1000G4
G3.,.....--G2
i-
GI
/
/I
II
II
/
//
I/,
"
100
200
300
0 00 2500 5000 7500 10000 12500
Sirain. milliont hs
12" 18" 18" 12" 18"
rJ; ., .. -I" T IG6 G7G8
} I 1 1 1 I IJ 1
I\-G:\I f:::t:::, j ! , I
I ')G4 G3 G2
SplIce
load,kips
400 r-------,.--------,r--------r------,.-------, Load,kN
1500
300
200
100
---------G8 1000
500
Ol..- --L ..L- --Jl.-- -L. --JO
o 2500 5000 7500 10000 12500
Strain. millionths
Fig. B-36 Load versus Steel Strains for Specimen S3-l
B-45
"j
Str
ain
Str
oin
-Y
ield
Le
ve
l
0.0
02
0.0
01
0.0
02
0.0
01
-Y
ield
Le
ve
l
Dis
tan
ce.
in4
0 I
---(53
'
P=
12
0kip
s
....-
20 I
P=
12
0kip
s(5
34
kN)
----
----
//
/P
=2
90
kip
s/
/(1
29
0kN
).
:L
_
--------------------------~---
p~2
90
ki
s.----
•/
---
(I2
90
.ktJ
--.---
/_
__
_•
p~2
12
kip
s/
"j~
(94
3kN
)-
/.
v
.~
0.0
02
0.0
02
Str
ain
0.0
0I
Str
ain
0.0
01
td I~r-::.
m
Fig
.B
-37
Str
ain
Dis
trib
uti
on
Alo
ng
Sp
lice
of
Sp
ecim
en
58
-1
'.'
r
1500
I1
<::
.It
lIt
l(/
Ie.
II
I-
I_.
11
11
11
J1.<
~cL<
II
IIc>
-L"
-.
\)
\
Lo
ad,
kN
50
0
1000
2.
Sp
lice
dS
tee
l(0
.30
m)
34
5
-5
100
Lo
ad,
40
0I
rk
ips
I2
3
300'r~4
I r PIII
I'2
00
tv t,~
'.J
60
00
50
00
40
00
30
00
20
00
10
00
__
__
__
_.L
1_
_I
I1
II
10
70
00
oo
Str
ain
,mil
lio
nth
s
Fi~.
B-3
8L
oad
vers
us
HO
Op
Str
ain
sfo
rS
pecim
en
88
-1
/..
the hoop at the offset was working to contain the outward
thrust component of the offset longitudinal bars. Bursting of
the concrete at the offset was more severe in Specimen S8-1
than in Specimen S6-1.
Longitudinal splitting cracks were observed at the ends of
the lap, but they did not propagate along the splice. Capacity
of the specimen was 330 kips (1468 kN). At this load one of
the welds that anchored a longitudinal bar in the end block
failed. The measured maximum load was 94% of that calculated
based on average material properties.
If the weld failure had not limited capacity of this
specimen, it is possible that the full calculated strength of
the longitudinal reinforcement would have been developed.
Specimen S 8-2
Specimen S8-2 was nominally identical to Specimen S8-1, but
was subjected to six load reversals.
Load versus elongations are plotted in Fig. B-39. Initial
and final crack patterns are shown in Fig. B-40.
Cracking was first observed at a load of 46 kips (205 kN) .
Under load reversals, cracks at the splice ends grew much T,qider
than those at other locations, as shown in Fig. B-41.
Longitudinal steel strains are plotted as a function of
applied load in Fig. B-42. Distribution of longitudinal steel
strains along the splice is shown in Fig. B-43. The strain
distribution and yield penetration in Specimen S8-2 were simi
lar to those observed in the monotonic test of S8-1. It is
B-48
Load, Load,kips kips
300 300
DCDT I OCDT(2)
200 200
100
00 1.0 1.0elongation, in. Relative elongation. in.
-100 -100
-200 -200
o
o
Load,kiP'30
OCOT Q)
Relotive elonqation. in.1.0
Load,kips
300
'-DeOT@
e!onqation, in.
,2.0
Fig. B-39 Axial Deformations of Specimen S8-2
B-49
tJJ I Ul
o
\I
Spl
ice
Offs
ol
·1~
\)
)~
()
)l
l.."
)
(0
)In
i1ia
lcr
ock
paH
ern
Off
se
t
(b
)F
ino
/cr
ack
pat
tern
Fig
.B
-40
Cra
ck
Patt
ern
so
fS
pecim
en
88
-2
P=2
14ki
ps(
5)
Cra
ckw
idth
,4
.0m
m
IIIA
tpe
aks
of
cycl
es
4,
5,
and
fin
al
mon
oton
iclo
adin
g2
.0
¥l'J\
p=2
80
kips
(M)
!\
P=
26
5ki
PS(4
).~~
\,/
\\
0.1
Cra
ck0
.2w
idth
,in
.
•0
I~.s;;
_'n
-=
J10
i
W I(J
l
I-'
I I I I '---------------------------.------------
--
------,
....1
(---
I...
....
I I I
Off
set
Fig
.B
-41
Measu
red
Cra
ck
Wid
ths
inS
pecim
en
S8
-2
001
(7'
If
f.~,
t~/
///
~)~M
,~I
-100
-20
0
12"
18"
18"
12"
Il::1
:tJG
BJ.
[;mgI
Hd2'
:<:;1P
'::.:r:
:x:·:
c·:c·:
c.CI:
CI:C
':C'rf'
l
Sp
lice
20
0
Lo
ad
,ki
ps 30
0
!sp
00
[0,0
00
~
-wT
--7
Loa
d,ki
ps 30
0
-200
1
20
0
100 'tJf
~ooo
[d,O
OO
Str
ain
,m
illio
nlh
s
Lo
ad,
kips 3
00
-10
0
-20
0
-20
01
1·-
-10
0
---5
{j0
0S
lro
in,
mill
io.o
1hs
100T~ II
-100
-20
0
QI-
----sO
OO
Sh
ain
,m
illio
nth
s
100-
'-
-10
0
-20
0
Lo
ad,
Lo
ad,
kips
kips
30
03
00
~
I1"62
GI
20
02
00
"
100
10
0
----5
00
0
t~"
Str
ain
,rn
itlio
nlh
sS
tro
in,
mill
ion
ths
-lO
Ot"
-10
0-
-20
0p
.--2
00
td I U1
Lo
ad,
Lo
ad,
Nki
pski
ps
30
'11
,3
00
IJ~6
G5
20
0+
I2
00
Fig
.B
-42
Lo
adv
ers
us
Ste
el
Str
ain
sfo
rS
pecim
en
S3
-2
to I ta
-Y
ield
Leve
l
0.0
02
~p
=2
99
kips
(Mt.
·---
----:,--,/
J0.0
02
kips
(2)
I-
----
----
--S
trai
nI
.r-'.~
--
-----
-P=
20
9ki
ps(I
)--l
Str
ain
0.0
01
~.h
--
~0
.00
1
p=
107
kips
(I)
Str
ain
0.0
01
0.0
02
0.0
01
Str
ain
0.0
02
-Y
ield
Leve
l
Fig
.B
-43
Str
ain
Dis
trib
uti
on
Alo
ng
Sp
lice
of
Sp
ecim
en
88
-2
interesting to note that in Specimen 88-2 a greater yield
penetration occurred at the straight end of the splice than at
the offset end.
Figure B-44 contains load versus strain curves for the
transverse reinforcement. Strains indicate that only hoops at
the offset end region were effective.
At a load of approximately 163 kips (725 kN) splitting
cracks were observed at the offset. These cracks did not prop
agate along the splice. Maximum load applied to the specimen
was 325 kips (1446 kN). Because the test apparatus became
unstable, loading was discontinued during the monotonic incre
ment that was being applied after the six load reversals.
Observed behavior of Specimens S8-1 and S8-2 indicated that
the applied reversing load history did not have a significant
effect on strength or performance.
Specimen S8-3
Specimen S8-3 was nominally identical to Specimens S8-l and
S8-2 except for the amount of confinement. Confinement in
Specimen S8-3 corresponded to the maximum spacing of column
ties according to the 1976 Uniform Building Code(2) and the 1977
ACI Building Code. (1)
Load versus elongation curves are plotted in Fig. B-45.
Initial and final crack patterns are shown in Fig. B-46.
Cracking was first observed at a load of 46 kips (205 kN).
At a load of 60 kips (267 kN), cracks were observed every 12
in. (305 ~~). This spacing coincided with the location of
B-54
tJj I
(Jl
(Jl
Lo
ad
.ki~s
30
0
-10
0
-20
0
Str
ain.
mill
ion
ths
2"\
5Im
ml
(03
0m
l(0
.46
ml
-11-
\.1
2"
.1.
18"
20
00
Off
set
1000
-10
0
-20
0
Str
ain
.m
illio
nth
s
0411
5~00
-10
0
-20
0
50
00
Str
ain
,m
illio
nth
s
-10
0
-20
0
Str
ain
,m
illio
nth
s
oI
50
00
Lo
ad
.Lo
ad,
Lo
ad
,L
oa
d.
kips
kips
kips
kips
30
0"
30
01
®300
f3
00
®f~
200-
112
00
11
20
0~
20
0
10
01
100-
11II
100
-,]
lobo
2000
Str
ain
.m
illio
nth
s
20
0
-10
0
-20
0
Lo
ad
.ki
ps
30
0
Fig
.B
-44
Lo
adv
ers
us
Ho
op
Str
ain
sfo
rS
pecim
en
S8
-2
E.foo~alion.
Load,400
iO 20i,ip1
Load.'N
J~OO
300... Gaqa "".
-~_..:-"''';':':''''''''''''----''-_ ............ , ., J
-., I< 1000,.......I ,
'.I '-.I .............I ,I
III
100 J / ... ~OO
II OCOT 2
:""OCOT J j oeOT ,0
0 0.2 0.4 0·6 00.8 10
ElorujJ01loo , in.
o
o
TotC2t
(0:~6,"11.1 ...l
Load,kio'S :::lr----~----~,f-~------,----~9
Lood.'If
200
oeOT •
1000
0IOO---CQt5---,I7i.01----;~;'<---.,,27. ...----.z.-:.:j-----,.J8Totot ,l(lnqoth,". in.
Fig. B-45 Axial Deformations of Specimen S8-3
B-56
t:J:J I Ul
--J
\ ()
I'S
plic
eO
ffse
t.j/ I
\
(a)
Initi
alcr
ack
pat
tern
Off
se
t
-(b
)F
inal
cra
ck
pat
tern
Fig
.B
-46
Cra
ck
Patt
ern
so
fS
pecim
en
S8
-3
transverse hoops. Cracks at the ends of the splice grew much
wider than those at other locations as shown in Fig. B-47.
Initial yielding in spliced reinforcement occurred at a
load of 211 kips (939 kN). Measured longitudinal strains are
plotted in Figs. B-48 and B-49. As expected, a greater yield
penetration occurred in this specimen than in Specimens 58-1
and 58-2, particularly at the offset end region.
Figure B-SO shows load versus strain curves for the hoop .
reinforcement. Hoops at the straight end region were subjected
to higher strains than those at the offset end region.
At a load of 114 kips (507 kN), splitting cracks were
observed at the offset. As load was increased, splitting cracks
penetrated the splice. Capacity of the specimen was 280 kips
(1245 kN). At this load, bars pulled out at the straight-end
region of the splice. The behavior of Specimen S8-3 indicated
that minimum column hoop reinforcement was not sufficient to
prevent splice failure. Additional reinforcement concentrated
at the ends of the splice might have been sufficient to develop
the strength of the bars.
Specimen S8-4
Specimen S8-4 was identical to S8-l and S8-2 except for the
amount of hoop reinforcement. This was reduced to 50% of that
required by the 1976 DBC Building Code. (2)
Load versus elongtion curves are plotted in Fig. B-5l.
Initial and final crack patterns are shown in Fig. B-52.
B-58
Iki
p=
4.4
48
kN
Cra
ckw
idth
,m
m4
.0 20
kips
P=
55
kips
0.1
Cra
ck0
.2w
idth
,in
.
/\ \
t:=-:-
.;:;---
----
:=l?
-~~-~\
~I
0--
--~=-
=........---.-0
-----~~O
.
t;dII
....
.=-=
_--
-I
I_
-=-
_Lf
1_-
-=--:
:::.....
._w
I~~
__
I_
'------
I.....
60
11(1
.52
m)
...1
Off
set
/------------------------------
--r--
--------------
If
,"
I I I I
Fig
.B
-47
Measu
red
Cra
ck
Width~
inS
pecim
en
S8
-3
Load,!<ips' 4oor------,-------,------,-------r--------, Load,
kN
1500300
200
_.-.-.-.--.-.~~..L.-.---.-~._.-- ---"-. ....---__..- ..- ..- ..--G4J".-..-.. 1000
"---'
500
°O~----;;2::50::;-;0~-----;;5:;::00~0;;-----:7:;-;50~0----:-:10:-':,O:-::0:-=0---12-.s...J&
Slrain, millionths
12." 18" 18". Ii'
}:::z::=~f.~:i~5,~i~G6i~'I~~7~~1g,g~====9(\. Solice
Load,kN
500
1000
G5 G6
\f' .__,G7J.-._.-.-·-·-I --.--.-J --' _.-:-~G8
J!1r - ,Go,. ~,y ,'j
~Tri/If
°O~------;2:-::5-=00:::------:5~0-:::'00-=------;7::::5:'::0-::-0----1:-=0-':,00:-=-::-0----:,-::-::I2,S30
200
Load,kips
Slraln, milllanlll$
Fig. B-48 Load versus Steel Strainsin Splice of specimen 38-3
B-60
to I 0"1
I-'
Str
ain
Str
ain
0.0
02
0.0
01
0.0
01
0.0
02
P=
120
kips
(53
4kN
)
~.
.,j'
P-
120
kips
(53
4kN
);:
P"
/--;:
:;--.
.P
=2
08
kips
(92
6kN
l-;:
.:::
:::':
::::
--·
/'
---.."'
':::'-
......
---:--
-/
-----
1---
---'
f:"-"-"-"
1.-
--'
:P=
26
2ki
ps(1
166
kN
)I/
P=
21
8kip
sI
I·(
1/
97
0k
N)
:_
__~
L_
-Y
ield
Leve
l
0.0
02
Str
ain
0.0
0/
0.0
01
Str
ain
0.0
02
-Y
ield
Leve
l
Iki
p=
4.4
48
kN
Fig
.B
-49
Str
ain
Dis
trib
uti
on
Alo
ng
Sp
lice
of
Sp
ecim
en
S8
-3
000r0
MI
coC/)
>::(j)
S0.-1U(j)0..
C/)
~
0~
00 Ul0 >::C\J (/l 0.-1
J::. mC ~
0 +lC/)
-E 0...
0c 0.....0
........Ul<7i :::lUl~(j):>
'1j0 m0 00 H
0LI')
It:Q
.tJ1
0.-1Ii.
(J)
u
a.(J)
N~-0
-nr
- J-
:
uv-~
f>.------+------1-....::::=~~~"""_+O
~ 0 000~(/lO 0 0o a. r0 C\Jo ._
.-J":::::'
B-62
Load,kips
300
Load,kips
300
-200
DCOT @
LO<:ld,kips
300
200
-10
-200
elon<jOllon, In.
__--r-...... failure
2.0
Fig. B-5l Axial Deformations of Specimen S8-4
B-63
to I 01
>f;:>
Off
set
I'"S
plic
e-I. (
(0)
Initi
alcr
ock
pat
tern
Offs
e1S
plic
e
"1///
1--
~/1
(.....
...JI
"\-
~r-
1I
\\.
(,
I7
\
W(b
)Fi
nal
crac
kp
atte
rn
Fig
.B
-52
Cra
ck
Patt
ern
so
fS
pecim
en
58
-4
Cracking was first observed at a load of 46 kips (205 kN).
Severe spalling and bursting of concrete was observed at the
first peak of first load cycle. Under increasing load, cracks
at the offset grew wider than those at other location as shown
in Fig. B-53.
Figures B-54 and B-55 show measured longitudinal strains.
The yield penetration was similar to that observed in Specimen
S 8-3.
Figures B-56 and B-57 show load versus strain curves for
the hoop reinforcement. It is evident that hoops at the offset
region were effective.
Longitudinal splitting cracks were observed at the offset
at a load of 261 kips (1161 kN) during the first peak of the
second load cycle. The splitting cracks did not propagate
along the entire splice length. At the end of the third load
cycle, the specimen was severely damaged at the offset end
region. In the first half of the fourth cycle, load carrying
capacity was lost by fracture at the offset of one of the
spliced bars. This may have been related to the bend in the-
bar at the offset. with only three bars remaining, load on the
specimen was 235 kips (1046 kN). This is 90% of that cal-
culated for three bars based on average material properties.
B-65
4.0
*Cyc
len
um
be
rsh
own
inp
are
nth
ese
s
Cra
ckw
idth
,8
.0m
mpt
261
kip
s(2
)
*".
P=2
12ki
ps(9
43
(I)
2.0
Cra
ck0
.4w
idth
,in
.
I I I II
'-----
1-
-=--
=-_
__
__
__
__
__
_
I / /(1
161
kN)~!
/ / / Nt)k, / / /
--,
/
\I
,L_
_-'::
::::::
'~'~==
::::==
-=-=-~
-:::::
'-f/
IIO"-
---\
---------0
1I
to I m m
/---
!----,--
,:'\
-----
I6
0"
(1.5
2m
)..
.,O
ffse
t-
----
Fig
.B
-53
Heasu
red
Cra
ck
Wid
ths
inS
pecim
en
88
-4
gooo
10;W
OSi
foin
.m
illlo
n,h,
67
--'
10:0
00
-20
0
t~t
1ft
leu
Itt
~G8
""
IU
I~~
,1'5}~\'''''=.===::sf{
Spl
iCO
Ott
aot
Loa
d,ki
ps3
00
-'00
-10
0
-20
0
-20
0,
5OdO
Sh"o
in,
mil
lion
lha
-10
0
-20
0
5110
4_.
UIIU
J("1
1Iui
-20
0
tt,I---5
do
o
-tOO
-20
0
load
,to
ad,
load
.lo
ad.
kip
,ki
p'
~IP'
kips
30
0
:::1j
'""I3
00
'""II
?O
f\·
/Jj
20
0-
,G
lG
2'_
J_
J
100
lr
10
0
tJ:J I 0\
looe
J.L
oad.
loa
d,
-..-J
kip:
kki
p.k
ipi
30
°'1
W]3
00
·
G5
kG
6
'Wr
20
0,.J
100
100
tt,1-·--~0J-
-~$
liaW
l,m
iltio
nlJu
.S
:wio
,Ill
.illk
t.lh
l
-100
1-tO
o
Fig
.B
-54
Lo
adv
ers
us
inB
ars
for
Ste
el
Str
ain
sS
pecim
en
S8
-4
0.0
02
Str
ain
-Y
ield
Leve
l
Str
ain
0.0
0/
0.0
0/
0.0
02
-Y
ield
Leve
l
/----_.
/---
//"
P==
1/4
kip
s/.
/.
....../
_.// -.
",.-/
/-/'
P=
214
kip
s/.
/,"
./
.//
/p=2
61ki
ps
.//
./.
__
__
_--
-./
L-
-
------------r------7
---
../
P=
26
Ikip
s(2
)//'
././
.//'
.//'
P==
212
kips
(I)
/'
./
,/
0.0
02
0.0
01
0.0
01
0.0
02
Str
ain
Str
ain
ttl I 0'1 co
Iki
p;-;
4.4
48
kN
l?ig
.B
-55
Str
ain
Dis
trib
uti
on
Alo
ng
Sp
lice
of
Sp
ecim
en
S8
-4
Loa
d,ki
ps3
00
Loa
d,ki
ps 30
0
20
00
mill
ion
ths
°0
100
-10
04
•
20
0··
,t
30
00
20
00
-20
0
~~...
.1
Str
ain
.Ill
illio
nth
s
20
0·'
·
-/0
0•.
_~J
10
0
20
0
load
.ki
ps3
00
001-
'----
----
--1
01
50
2000
30
00
Slr
oln
,m
illio
nih
s
100
-20
0
-100
-20
0
td I <J\ \0
Fig
.B
-56
Lo
adv
ers
us
Ho
op
Str
ain
sfo
rS
pecim
en
S8
-4:
Gag
es1
,2
,an
d3
-100
-100
-200
1000
Sfrain, millionths
2000
Load,kios
300
-100
-200
1000Strain. millionths
1000/ Sfrain. miilianth.
/
~
-100
-200
rTf ~I02mml 1m(Offset
~lllll! i! IIIIII!: i nm:'II __ I'
60· (1.52 m)Load.kips
1000Strain, milltOnths
Load.I<i~
Fig. B-57 Load versus Hoop Strains forSpecimen S8-4: Gages 4, 5, 6,and 7
B-70