concrete capacity of cazaly hangers in shallow members
TRANSCRIPT
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
1/26Fal l 2010 |PCI Journal0
Editors quick points
n The PCI design guidelines for the Cazaly hanger connection are
based on a series of tests conducted by the Canadian Precast/
Prestressed Concrete Institute (CPCI) in 1965.
n Little research or review of the test results and failure models
has been performed since the CPCI reports were published.
n This research and reporting of test results focuses on updating
the PCI design guidelines for the Cazaly hanger connection.
Concrete
capacity
design
of Cazaly
hangers
in shallow
membersWestin T. Joy,Charles W. Dolan,and Donald F. Meinheit
Connections play an important role in building construc-
tion for all materials. Field-installed connections used
in precast concrete systems are often much simpler than
those required in steel, timber, or even some cast-in-place
concrete systems. This simplicity gives precast concrete
an important advantage over other building systems by
allowing shorter building assembly and, ultimately, early
completion of the building project.
However, the simplicity and history of use may lead the
engineer to assume that connections are as robust as the
rest of the structural system. Thus, connection design
becomes routine. If the underlying design theory is based
on incomplete assumptions, the boundaries of application
of the design method may be exceeded, which could lead
to unexpected performance.
One connection that gained popularity in the 1960s and
has been in continuous use in the precast concrete indus-
try since is the Cazaly hanger. Developed by Laurence
Cazaly, the Cazaly hanger was first used in 1957 in theconstruction of a precast concrete warehouse building. The
Cazaly hangers were used as purlin-to-girder connections
and allowed the members to be erected much more quickly
and economically.1
The three main components of the Cazaly hanger are a
cantilevered top bar, a strap, and dowel anchorage in the
top and bottom of the member (Fig. 1). In the original
design, the cantilevered bar serves as the main supporting
element for the member, while the strap transfers the verti-
cal load to the member web. The bottom dowel provides
anchorage for the strap to avoid rotational pullout of the
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
2/26 10PCI Journal|Fal l 2010
1965 research program on hanger connections. Little
research or review of the test results and failure models
has been performed since these reports were published.1,2
Beginning with the third edition of the PCI Design Hand-
book: Precast and Prestressed Concrete,3 a shear-friction
calculation for the bottom-dowel anchorage of the hanger
has been included as one of the design checks to establish
the connection strength.
Concrete capacity design (CCD) for concrete inserts was
introduced in the 1990s and has solidified the procedures
for design and evaluation of anchorage in concrete. In the
current study, the CCD models of ACI 318-08 appendix
D4 and the PCI design method5 are applied to the original
1965 research-program specimens as well as recentlytested specimens, reported herein, to evaluate the Cazaly
hanger for both shear friction and CCD failure modes.
This research and reporting of test results focuses on
updating the PCI design guidelines for the Cazaly hanger
connection. Proposed revisions to the current design guide-
lines include removing unnecessary or noncritical design
checks and unifying deep- and shallow-section design
methodologies to provide consistent, safe strength predic-
tions.
Background
strap, and the top dowel aids in transferring any horizontal
force to the rest of the member.2 Note that the sketches in
Fig. 1 and 2 are simplified because the top dowel is shownwithout cover. In the usual case, the top bar is embedded in
concrete.
The Cazaly hanger is cast into a concrete member, leaving
the cantilevered top bar extended beyond the member end.
The precast concrete piece is then placed so that the pro-
truding bar rests on the supporting member. Figure 1 is a
sketch of a typical system in which the hanger is placed on
a transverse member. Typically, a Cazaly hanger is a grav-
ity connection; however, the exposed portion of the top bar
may be connected to the supporting member either through
bolting or welding to embedded steel plates in the support-ing concrete girder or to a steel support member to make it
function as a bracing element. One advantage of the Cazaly
hanger is its ability to minimize the overall structural
depth, leading to a decrease in floor-to-floor height. By de-
creasing the floor-to-floor height, less material is used both
inside and outside the structure and an economical savings
for the building project may result, or more floors can be
placed within the code building-height restrictions.
The PCI design guidelines for the Cazaly hanger con-
nection are based on a series of tests conducted for the
Canadian Precast/Prestressed Concrete Institutes (CPCIs)
Figure 1. This diagram shows the main components o a Cazaly hanger. Source: PCI Industry Handbook Committee 2004. Note:Vu = ultimate actored shear load.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
3/26Fal l 2010 |PCI Journal2 10
Of these seven hanger variables, one variable stood out
as needing further attention. The unstudied variable was
the beam and corresponding hanger depth, and therefore,research on shallow sections remained an open issue.
Those test specimens with hanger depths of 10 in. (250
mm) or less failed to reach the ultimate load calculated us-
ing the CPCI handbook first-edition recommendations.1 To
account for this shortcoming, a strength-reduction factor,
based on hanger depth, was proposed to be included in the
design procedure.
The steel area required for the bottom-dowel anchor
depended on the concrete key (the area of concrete within
the enclosed U-shaped strap) and the tension force in the
strap at failure of the concrete key. A shallow hanger depthmeans a smaller concrete key, so the researchers devel-
oped a so-called key factor. The key factor was to address
designing shallow hangers by adjusting the strength of the
concrete key downward when designing the bottom-dowel
anchor.
Ife, Uzumeri, and Huggins2 presented the results of tests
performed at the University of Toronto for the CPCI 1965
research program on hanger connections. The University of
Toronto tested a total of 52 hangers, 8 of which were part of
a pilot test series to gather insight on possible failure modes
and variables potentially affecting the hanger capacity.
In 1965, CPCI funded a research program to study hanger
connections.1 CPCI chose to focus this research program
on hanger connections because at the time the Cazalyhanger was widely used throughout Canada. Tests for the
CPCI research program were carried out at the University
of Alberta in Calgary, the University of Manitoba in Win-
nipeg, and the University of Toronto in Ontario. CPCI sug-
gested that the following variables be studied throughout
the testing process:
shear spantodepth ratio
web reinforcement along the top bar
beam depth
fabrication tolerances
concrete strength
prestressing
horizontal forces
Figure 2. This schematic sketch shows how a Cazaly hanger is placed on a support girder.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
4/26 10PCI Journal|Fal l 2010
All 52 hangers used a closed, U-shaped strap, as shown in
Fig. 1. The top bar and strap were overdesigned and were
not the critical components of the hanger system. Tests
performed on hangers without a bottom dowel resulted in
failure by shearing of the concrete key on a plane flush
with the back of the strap (Fig. 3). This failure further sup-
ported the thesis that the strength of the concrete key plays
an important role in the overall capacity of the hanger.
When the bottom dowel was included in the test speci-
men, all of the tests resulted in ultimate failure only when
the bottom-dowel anchorage of the strap failed.2 Failure
of the strap anchorage was characterized by the failure of
the bottom dowel welded to the strap, allowing the hanger
to rotate away from the member. The hanger capacity
was attributed to the combination of shear strength of the
concrete key infill within the strap and the strength of the
bottom dowel in shear.
In cases where the specimens used two dowels for the bot-
tom anchorage (one on each leg of the strap), the hanger
capacity was reportedly controlled not only by the concrete
key and the dowels but also the bearing capacity of the
concrete above the dowels.2
Observations by the University of Toronto research team
reinforced the importance of hanger depth on the hanger
capacity. A series of 14 hanger specimens in the test pro-
gram were identical except for the variation of strap depth,
which varied from 10 in. to 16 in. (250 mm to 400 mm).
These 14 specimens were all in beams 20 in. (500 mm)
in depth. The decrease in strap depth from 16 in. to 10 in.
(400 mm to 250 mm) caused a reduction in hanger capac-ity of 38%, despite a 6% increase in concrete strength.
Figure 4. Assumed loads are given or the Cazaly hanger components. Note: V= shear orce on insert.
Figure 3. Shown is what Ie et al. described as a shear-riction ailure. Source: Ie,
Uzumeri, and Huggins 1968. Note: V= shear orce on insert.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
5/26Fal l 2010 |PCI Journal4
The conclusion drawn from these test results was that the
hanger capacity depends more on the hanger depth than on
the strength of the concrete, and the relationship between
hanger depth and capacity is not linear.2 The Canadian
research team concluded that the decrease in capacity for
the shallow hangers is partly due to the decrease in the
concrete shear-key area.
The sixth edition of the PCI Design Handbook: Precast
and Prestressed Concrete5 (the edition to which we are
henceforth referring as the PCI Design Handbook) relieson various simplifying and presumably conservative as-
sumptions about the hanger and incorporated shear-friction
behavior for the design of the Cazaly hanger. The PCI De-
sign Handbookstates that the cantilevered top bar is typi-
cally proportioned such that the hanger strap is subjected
to, and thus designed for, 1.33 times the ultimate shear
force on the hanger. The 1.33 factor results from the statics
of the bearing reaction on the hanger and proportioning the
top bar such that the bearing load at the interior end of the
top bar is 33% of the applied load (Fig. 4).
The PCI Design Handbookdesign procedure assumes thatthe ultimate shear force acts at the middle of the bearing
length on the supporting member, an assumption that af-
fects the moment in the cantilevered bar. The PCI Design
Handbookallows the cantilevered bar to be designed in
one of two manners:
for the moment combined with axial and shear forces
for the moment at yield by using elastic section prop-
erties, ignoring the shear and axial force contributions
The bearing pressure on the interior portion of the cantile-
ver bar can be conservatively based on the hanger width.
The top dowel is sized to carry axial force (that is, the ten-
sion usually associated with time-dependent deformations
of the beam member), while the bottom dowel is designed
using shear-friction concepts.
Cazaly hanger failure modes
The Cazaly hanger consists of multiple parts, leading to
two global failure modes: steel failure of the hanger andconcrete failure of the connection unit. Each of the condi-
tions is evaluated, and the lowest capacity establishes the
strength of the connection. This is consistent with the ACI
318-08 appendix D4 design method.
The steel failure modes include yielding of the cantile-
vered top bar due to bending (Fig. 5), yielding of the strap
in tension, failure of the bottom anchorage, or failure of
the weld between the strap and the cantilevered top bar.
Because the design approach requires the hanger to be
stronger than the concrete capacity, the PCI Design Hand-
bookdesign method is adequate for bending of the top barabout the centerline of the strap as well as strap yielding.
In all connection designs, the weld strength should be
stronger than the rest of the connection components. This
ensures that the connection will not fail due to a brittle
weld fracture.
Failure of the concrete may be reached through one of
several different failure modes:
shear across the entire concrete section
Figure 5. This sketch shows possible ailure modes or a Cazaly hanger.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
6/26 10PCI Journal|Fal l 2010
shear friction
concrete breakout
Shear across the full concrete cross section is gener-
ally addressed with the inclusion of shear stirrups, and
the cross-section shear strength is based on ACI 318-08.
Shear-friction failure is controlled by the capacity of the
concrete in shear in the key area and the bottom dowel, as
proposed by Ife, Uzumeri, and Huggins.2 Figure 3 shows
an example of what the original researchers described as a
shear-friction failure. In the 1965 CPCI research program,
test specimens without bottom dowels failed by shear-fric-
tion failure where the capacity was limited to the strength
of just the concrete key. Without dowels, the shearing of
the concrete key occurred on a vertical plane flush with the
back of the strap. Sketches of the concrete failure modes
are shown in Fig. 5.
ACI 318-08 appendix D4 describes CCD for headed studs
cast in concrete. Appendix D uses a 35 deg failure plane
for the concrete-breakout prism for both tension and shear
loading of the anchors. The concrete tension breakout
capacity is dependent on the area of the failure plane,
Figure 6. These photographs show side and end views o the ailure o a shallow member with modied Cazaly hangers.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
7/26Fal l 2010 |PCI Journal6
which is highly dependent on the depth of the embedment.
Correction factors are included to account for anchors
near edges or corners and also for eccentricity in loading.
While the CCD methods are prescribed for headed studs
and expansion anchors, Fig.6 suggests that the behavior
of the shallow Cazaly hanger follows one of the concrete-
breakout behavior modes instead of a shear-friction failure
mode.
CCD breakout failure, when applied to this case, is either
a tension or shear mode. Tension and shear failures appear
similar but occur for two distinct reasons. ACI 318-08
appendix D4 contains pictorial examples of the concrete
breakout of headed studs due to tension and shear, as well
as design strength models for the prediction of the two fail-
ure modes. Tension breakout and shear breakout are shown
pictorially in Fig. 7.
In the Cazaly hanger, concrete breakout due to tension
would be caused by pulling on the hanger strap (Fig. 8).
The mechanical anchorage of the strap to the concrete
would lead a section of the concrete to break out from the
parent member. For the CCD methodology, the strap acts
similarly to a cast-in headed anchor in tension. The ACI
318-08 prediction of concrete-breakout strength, based
on headed cast-in-place anchors, should be conservative
for the strap because the strap contact area in the bottom
bend is larger than the bearing area of the typical head of a
headed anchor.
Breakout due to shear can be viewed as the strap transfer-
ring tension to the bottom of the strap and loading the bot-
tom dowel in shear (Fig. 9). The shear on the bottom dowelthus causes a failure plane at about 35 deg and appears
identical to the failure plane caused by tension breakout.
For the CCD analogy, the bottom dowel acts similarly to a
cast-in headed anchor in shear.
Anderson and Meinheit6 conducted numerous tests on
headed studs in shear to determine capacity and develop
design methods. Anderson and Meinheit compared dif-
ferent behavior models to predict their test results, one
of which was the ACI 318-08 appendix D method. The
results obtained demonstrate the variation in test-to-
prediction ratios for different tests when using the ACI
318-08 appendix D shear-prediction method void of the
reduction to get a 5% fractile characteristic equation. A
histogram of the variation of the ACI prediction of capac-
ity in uncracked concrete was adapted from Anderson and
Meinheits work (Fig. 10).
The ACI 318-08 appendix D approach resulted in an aver-
age test-to-predicted failure load in uncracked concrete of1.25 with a standard deviation of 0.245. A test-to-predicted
Figure 7. These sketches show the concrete breakout o headed anchors in ten-
sion and shear. Note: N= tensile orce on insert; V= shear orce on insert.
Figure 8. This sketch shows the tension breakout model applied to the Cazaly hanger and the concrete capacity design equivalent. Note: N= tensile orce on insert.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
8/26 10PCI Journal|Fal l 2010
ACI 318-08 appendix D CCD model to remove the conser-
vative nature of the ACI 318-08 model to make the design
model more consistent with test data.
ratio of 1.25 implies that the ACI 318-08 shear model,
without phi factors, when applied to headed-stud concrete-
breakout failures in uncracked concrete, is conservative.
The design procedure for headed studs loaded in shear in
the sixth edition of the PCI Design Handbookmodified the
Figure 9. This sketch shows the shear-breakout model applied to the Cazaly hanger and the concrete capacity design equivalent. Note: V= shear orce on insert.
Figure 10. This histogram shows shear test results on headed studs loaded toward a ree edge compared with ACI 318-08 appendix D equations. Note: Avg. = average;CCD = concrete capacity design; SD = standard deviation.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
9/26Fal l 2010 |PCI Journal8
breakout strength for the 1965 CPCI specimens, a value of
c,N= 1.25 was used based on the assumption of no crack-ing in the connection under service-level loads.
For embedment less than 11 in. (280 mm),Nb is calculated
by Eq. (3) (Eq. D-7 in ACI 318-08):
h N k f .
efb c c
1 5m= la k (3)
where
kc = 24 for cast-in-place anchors
hef = embedment depth of the anchor
= a modification factor addressing lightweight concrete
fcl = concrete strength in psi
For hefbetween 11 in. and 25 in. (280 mm to 635 mm)
the 5% fractile design strength of a single anchor can be
expressed as Eq. (4) (Eq. D-8 in ACI 318-08):
N f h16b c ef 5
3m= l^ h (4)
These equations are based on the cracked-concrete tension
breakout frustum developed by either the head of a headed
anchor or the expansion force from a post-installed anchor.
Both of these equations include a reduction in strength to
get a 5% fractile load. The average capacities are about 4/3of the fractile values.
These models do not account for the size of the head on
the headed anchor or plate washers. Further research is
needed to confirm the actual effective load-bearing capac-
ity of the anchor straps acting as headed bearing if the
behavior model is one of tension.
PCI method for tension breakout
The PCI tensile breakout capacity is given as
.h
f N A C 3 33
,ef
ccb n crb ed N
m }=l
(5)
where
An = projected surface area of insert or group of inserts
Ccrb= cracking factor = 1.0 for uncracked section
The PCI formulation assumes that a precast concrete sec-
tion is uncracked. Hence, Ccrb is 1.0 and Ccrb decreases for
Concrete-breakout strength:tension
ACI 318-08 appendix D method
ACI 318-08 appendix D provides the 5% fractile design
equations to use when predicting the concrete-breakout
strength of headed studs in shear or tension. These equa-tions can be applied directly to the traditional Cazaly
hanger with some minor redefinitions of parameters as
summarized here. The nominal concrete-breakout strength
for tension of a single Cazaly hanger is predicted by Eq.
(1) (Eq. D-4 in ACI 318-08).
NA
AN
, , ,cbNco
Nc
ed N c N cp N b} } }= (1)
where
ANc = projected area of failure surface for an anchor or
group of anchors considering limitations due to
size of member in which anchor is located
ed,N = a modification factor for edge effects
c,N = a modification factor addressing concrete cracking
at service loads
cp,N = a modification factor addressing splitting of post-installed anchor, which does not occur here, thus
cp,N= 1.0
Nb = basic concrete 5% fractile breakout design strength
of a single anchor in tension in cracked concrete
The calculation forANco is similar toANc except that it is not
limited by edge or corner influences, spacing, or member
thickness. In other words, it assumes full development of
the concrete capacity based on a single anchor, as is calcu-
lated in Eq. (2) (Eq. D-6 in ACI 318-08).
A h9 Nco ef 2
= a k (2)
where
hef = equivalent to the depth to the bottom anchor of the
Cazaly hanger in the present context
The ratio ofANc/ANco therefore gives the influence of edges,
corners, spacing, and number of anchors in a group in a
relatively straightforward manner.
When analysis indicates no cracking at service loads, as
would be the case for a Cazaly hanger at the end of a beam
without shear cracking, c,N= 1.25. In calculating the
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
10/26 10PCI Journal|Fal l 2010
C3 = PCI correction for edge effects
Ch = PCI correction for thickness
Cev = PCI correction for eccentric load
Cvcr= PCI correction if the section is cracked
For a Cazaly hanger Ch, Cev, andCvcr= 1.0. The PCI un-
cracked average strength equation Vco3 from the Anderson
and Meinheit research is:
fV BED22. .
cco3
0 5 1 33= la k
where
BED = the basic embedment depth of the Cazaly hanger
If the 5% fractile value is used, which is what the ACI
318-08 design equation represents, then the coefficient 22
reduces to 16.5, as used in the design example. Last, the
edge correction factor C3 is given by:
. .BED
SEDC 0 7 1 0
3
3#=
where
SED = the side-edge distance to the first anchor plus half
the center-to-center spacing of inserts
Anchor reinforcement
Reinforcement immediately adjacent to the anchor af-
fects the connection strength. ACI 318-08 appendix D4
addresses anchor reinforcement in a straightforward
manner. Section D.6.2.9 of ACI 318-08 states the follow-
ing: Where anchor reinforcement is either developed in
accordance with Chapter 12 on both sides of the breakout
surface, or encloses the anchor and is developed beyond
the breakout surface, the design strength of the anchor
reinforcement shall be permitted to be used instead of theconcrete-breakout strength in determining Vn. A strength
reduction factor of 0.75 shall be used in the design of the
anchor reinforcement.
ACI 318-08 allows anchor reinforcement to be designed
for a capacity greater than concrete breakout. When the
member cracks in a manner that looks like a concrete-
breakout crack, anchor reinforcement provides an alterna-
tive load path and assumes the entire load that the anchor
was carrying before cracking. To ensure strength and
ductile behavior, it is recommended that the minimum
anchorage reinforcement capacity equal the CCD capacity.
a cracked section. ACI 318-08 assumes a cracked section
and increases capacity if the section is uncracked. The
difference is reflected in the initial coefficient in Eq. (5).
Equations (1) and (5) provide identical strength predictions
when the appropriate correction factors are applied.
Concrete-breakout strength:
shearACI 318-08 appendix D method
The shear-breakout model is similar to the tension model,
as shown in Fig. 8 and 9. The cracked concrete, single
anchor ACI 318-08 appendix D basic shear-strength cal-
culation model is partially dependent on the bottom-dowel
embedment length e as depicted in Eq. (6) (ACI 318-08
Eq. D-25).
d
V d f c8
.
.
a
e
b a c a
0 2
1
1 5,m= l
f ap kR
T
SS
SS
V
X
WW
WW(6)
where
da = outside diameter of anchor
ca1 = distance from center of anchor shaft to edge of
concrete in one direction, taken in the direction of
the applied shear
For the calculations within this research, the maximum
limit on the e/da ratio of 8 was used for the bottom dowel.Because the shear-breakout capacity depends on the dowel
length, the calculated strength can be changed by modifying
the dowel embedment. Equation (6) is also the 5% fractile de-
sign strength for an anchor in cracked concrete. The average
cracked strength is about 4/3 times the 5% fractile strength.
PCI method for shear
The PCI shear-strength-prediction equation does not
have the anchor embedment eterm included because the
research found that embedment did not have a significant
effect on strength. Diameter, likewise, was not found to bevery influential for the test results reviewed on diameter of
headed anchors.
The PCI formulation for shear capacity, as presented in the
PCI Design Handbook, is:
Vc3 = Vco3 C3 Ch Cev Cvcr
where
Vco3 = PCI basic shear-breakout strength of an insert
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
11/26Fal l 2010 |PCI Journal0
CPCI researchand shear friction
The results of the 1965 CPCI research program on hanger
connections show that in all cases the ultimate load of the
connection was reached when the bottom-dowel anchor
failed and allowed the hanger strap to rotate away from the
member.
2
However, the researchers described a slightlydifferent behavior for test specimens with differing bottom-
dowel configurations. Hangers with a single bottom dowel
attached to the bottom of the strap failed due to combined
shear on the concrete key and the bottom dowel. Those test
specimens with two bottom dowels attached to the bot-
tom of the strap failed when the concrete bearing capacity
above the bottom dowels was exceeded, in addition to the
shear capacity of the concrete key. The inclusion of two
bottom dowels on the vertical sides of the strap, as opposed
to a single bottom dowel at the bottom of the strap, resulted
in a much more complex cracking pattern throughout the
tests, as shown in Fig. 11. Last, three hangers without
bottom-dowel anchors were tested and failed due to shear
on the concrete key alone. The vertical failure plane for the
hangers without bottom anchorage was flush with the back
of the hanger strap (Fig. 3).
While shear friction as a possible behavior-prediction
mode for the Cazaly hanger, the hangers from the 1965
CPCI research program violate important requirements
of shear-friction behavior. In Fig. 3, it appears that when
the weld between the strap and the bottom dowel failed,
the hanger strap rotated away from the member face. For
shear friction to occur, the cracked concrete must remain
in full contact with the rest of the member to generatefriction across the crack interface. This condition is not the
observed behavior for the hanger in Fig. 3.
Furthermore, the researchers reported that hanger depth
greatly affected the hanger capacity. Shear-friction theory
is independent of depth and relies only on the area of steel
crossing an assumed crack to create the normal force for
shear friction. While shear friction is a convenient tool,
the observed failure mechanism does not meet the basic
assumptions of shear-friction theory.
Assessment of CPCI researchprogram failure modes
An assessment of the possible failure modes, including
steel failure, can demonstrate which failure mode controls
the capacity of the Cazaly hanger. Ratios of test-to-pre-
dicted failure loads were tabulated to provide a means for
comparison of the various failure modes. Table 1 presents
the summary results.
The test specimens used throughout the 1965 CPCI re-
search program on hanger connections included stirrups,
some of which can be considered anchorage reinforcement.
The shear stirrup/anchorage reinforcement began 3 in. (75
mm) from the ends of the beams. This spacing effectively
qualifies as anchor reinforcement placement according to
Fig. RD.6.2.9 in ACI 318-08 appendix D.4 The longitudinal
flexural reinforcement for the majority of the CPCI test
specimens consisted of four no. 9 (29 mm) reinforcing bars.
Failure modes, assuming the steel components of the hang-
er control the ultimate load on the test specimen, produced
test-to-predicted values less than one. This indicates thatthe strap and the top bar are stronger than the concrete-
breakout capacity. That is, predicted concrete capacity
greatly underestimates the test load. The test results are
consistent with the approach of designing the bar and strap
to have capacity greater than the concrete capacity.
The remaining failure calculations in Table 1 consider
the failure modes of the original shear-friction concept,
concrete breakout due to shear, concrete breakout due to
tension, and yielding or ultimate strength of the anchor
reinforcement. The shear stirrups in the vicinity of the
connection meet the requirements of ACI 318-08 appendix
Figure 11. Concrete ailure is shown or a Canadian PCI specimen with two bottomdowels.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
12/26 11PCI Journal|Fal l 2010
The authors considered this second stirrup close enough to
contribute to the anchor-reinforcement capacity. Therefore,
the calculations use a minimum of two shear stirrups, each
with two legs, for the anchor reinforcement. The CPCIreport does not record the stirrup yield stress or ultimate,
so the prediction calculations are based on an assumed 60
ksi (420 MPa) yield stress. At the time of the CPCI tests,
it is equally possible that a 40 ksi (275 MPa) yield stress
could have been used. The original paper does not provide
this information.
Figure 12 plots the test-to-predicted ratios for the CPCI
test data. Any data that fall below the horizontal line of
1.0 mean that the prediction of capacity is unconserva-
tive; any data that plot above the 1.0 line imply that the
prediction is conservative. The closer to the 1.0 line,
D4 for anchor reinforcement, which allows the strength of
the anchor reinforcement to be used in the analysis of the
strength of this failure mode. The anchor reinforcement
strength also exceeds the concrete-breakout strengths inshear or tension so that if cracking occurs the anchor steel
is activated.
Consistent with ACI 318-08, the shear reinforcement
used for this calculation was the number of stirrups within
a distance of half the strap depth from the centerline of
the strap. For most of the test specimens, this provision
permits at least two stirrups to be used for the anchor-
reinforcement-capacity calculation. For seven of the
specimens, one stirrup falls completely within the specified
range and the second stirrup falls just beyond half of the
strap-depth limit.
Table 1. Test-to-predicted ailure loads or selected Canadian PCI specimens
Specimenf'c,
psi
Vtest,
kip
Concrete
breakout:
tension
Concrete
breakout: shear
Anchor
reinforcementShear friction
Bending of top
barStrap failure
Vpredict,
kip
Vtest
Vpredict
Vpredict,
kip
Vtest
Vpredict
Vpredict,
kip
Vtest
Vpredict
Vpredict,
kip
Vtest
Vpredict
Vpredict,
kip
Vtest
Vpredict
Vpre-
dict,
kip
Vtest
Vpredict
P-1-B 8040 18.2 5.66 3.22 5.99 3.04 17.60 1.03 12.61 1.44 26.67 0.68 30.00 0.61
P-2-A 8040 17.3 5.66 3.06 5.99 2.89 17.60 0.98 12.61 1.37 26.67 0.65 30.00 0.58
P-3-A 8040 14.4 5.66 2.55 5.99 2.40 17.60 0.82 12.61 1.14 26.67 0.54 30.00 0.48
P-4-A 8040 16.7 5.66 2.95 5.99 2.79 17.60 0.95 12.61 1.32 26.67 0.63 30.00 0.56
T-1-1 4910 33.5 8.44 3.97 9.41 3.56 32.00 1.05 29.17 1.15 47.62 0.70 62.50 0.54
T-1-2 4910 33.8 8.44 4.00 9.41 3.59 32.00 1.06 29.17 1.16 47.62 0.71 62.50 0.54
T-3-5 5430 39.3 8.88 4.43 9.89 3.97 32.00 1.23 29.17 1.35 47.62 0.83 62.50 0.63
T-5-9 5630 43.4 9.04 4.80 10.07 4.31 32.00 1.36 29.17 1.49 47.62 0.91 62.50 0.69
T-5-10 5630 36.5 9.04 4.04 10.07 3.62 32.00 1.14 29.17 1.25 47.62 0.77 62.50 0.58
T-7-14 7160 44.3 10.19 4.35 11.83 3.75 32.00 1.38 35.06 1.26 47.62 0.93 62.50 0.71
T-9-17 6375 46.7 9.62 4.86 8.54 5.47 32.00 1.46 29.56 1.58 47.62 0.98 62.50 0.75
T-11-22 7280 47.5 10.50 4.52 11.46 4.15 32.00 1.48 29.21 1.63 47.62 1.00 65.00 0.73
T-12-23 7220 39.9 10.46 3.82 11.41 3.50 32.00 1.25 29.21 1.37 30.30 1.32 65.00 0.61
A-2-3 5820 35.3 8.68 4.06 9.67 3.65 32.00 1.10 27.57 1.28 47.62 0.74 62.50 0.56
T-13-26 5240 50.3 8.72 5.77 9.72 5.18 32.00 1.57 29.17 1.72 47.62 1.06 62.50 0.80
Average 4.78 4.64 1.35 1.48 0.78 0.65
Standard deviation 2.46 2.27 0.51 0.55 0.25 0.21
Coecient o variation 0.51 0.49 0.37 0.37 0.32 0.32
Note: f 'c = compressive strength o concrete; Vpredict= shear orce predicted rom theory; Vtest= shear orce obtained in experimental program.
1 psi = 6.895 kPa; 1 kip = 4.448 kN.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
13/26Fal l 2010 |PCI Journal2
anchor reinforcement is the best of the conservative
prediction models.
the better the prediction equation. However, the results
in Table 1 and Fig. 12 suggest that the strength of the
Figure 12. Test-to-predicted ratios are given or the Canadian PCI Cazaly hanger test program. Note: 1 psi = 6.895 kPa.
Figure 13. This modied Cazaly hanger was used in University o Wyoming tests.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
14/26 11PCI Journal|Fal l 2010
University of Wyomingtest series
To supplement the 1965 CPCI research program, several
new tests were conducted on shallow members using mod-
ified Cazaly hangers (Fig. 13). These hangers differ from
the original Cazaly hanger in that the strap is not a closed
loop and a hollow steel tube is used for the top bar instead
of solid bar stock. This design precludes the need to thread
prestressing strand through a closed loop, allowing easier
member fabrication.
The modified design used two separate steel straps, which
curve away from the centerline of the hanger at their bottom
The anchor reinforcement model has an average test-to-
predicted ratio of 1.35, a standard deviation of 0.51, and
coefficient of variation of 0.37. If the ultimate strength of
the anchor steel were known, the authors believe that the
average test-to-prediction ratio would be very close to 1.
Therefore, the anchor reinforcement model is a reasonable
predictor of strength for the 1965 CPCI Cazaly hanger
test specimens. With the anchor reinforcement capacity
exceeding the concrete-breakout capacity, the concrete-
breakout crack serves as the means of activation of the
anchor steel. The crack pattern observed in Fig. 11 is con-
sistent with the anchor reinforcement transferring the end
shear load to the Cazaly hanger after the concrete cracks.
Table 2. Test-to-predicted ailure loads or University o Wyoming test specimens
Specimen f'c, psi Vtest, kip
Concrete breakout: tension Concrete breakout: shear
Vpredict, kipVtest
VpredictVpredict, kip
Vtest
Vpredict
BS 17 N-L 6500 21.8 18.71 1.16 15.14 1.44
BS 17 N-R 6500 21.8 21.84 1.00 19.30 1.13
BS 17 S-L 6500 24.8 21.84 1.13 19.30 1.28
BS 17 S-R 6500 24.8 18.71 1.32 15.14 1.63
BS 34 N-L 6500 20.6 13.17 1.56 10.40 1.98
BS 34 N-R 6500 20.6 13.17 1.56 10.40 1.98
BS 34 S-L 6500 28.0 23.32 1.20 20.31 1.38
BS 34 S-R 6500 28.0 19.88 1.41 16.05 1.75
FS-143 N 6000 25.3 12.95 1.95 10.53 2.40
Average 1.37 1.66
Standard deviation 0.29 0.41
Coecient o variation 0.21 0.24
Note: f 'c = compressive strength o concrete; Vpredict = shear orce predicted rom theory; Vtest = shear orce obtained in experimental program.
1 psi = 6.895 kPa; 1 kip = 4.448 kN.
Figure 14. These photographs show the test specimens and loading system or the University o Wyoming specimens. Note: 1 kip = 4.448 kN.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
15/26Fal l 2010 |PCI Journal4
Evaluation ofPCI Design Handbook
shear friction method for CPCIspecimens
The PCI Design Handbookdesign equations were ap-
plied to the 1965 CPCI research specimens to calculate the
capacity of the Cazaly hanger (Table 6). The phi factors
were all taken as 1.0 for these calculations to allow a directcomparison of predicted and test results. The results are
in the form of test-to-predicted failure-load ratios for the
same specimens reviewed in Table 1. Figure 15 plots the
ratio of the test failure loadtopredicted failure load for the
each specimen based on the three PCI Design Handbook
design checks of section 6.10.1. The solid line in the plot
represents a unity ratio of test-to-predicted failure loads.
Points lying above the line indicate that the predictor is
conservative, whereas points below the line indicate an
unconservative predictor.
The plot in Fig. 15 shows that when the least-squares line
is drawn through the test-to-predicted data for each failure
mode, all prediction equations are unconservative, some by
30%. This indicates that the PCI Design Handbookcapaci-
ties overpredicted the hanger capacity based on the 1965
CPCI research program test database. The points in Fig.
15 representing the shear-friction design capacity indicate
that this computation is the least-conservative predictor of
Cazaly hanger capacity. The PCI Industry Handbook Com-
mittee is addressing this situation.
Evaluation of CPCI specimenconcrete-breakout strength
The strength of each test specimen from the 1965 CPCI
research program database is also compared with the
concrete-breakout predictions of ACI 318-08 appendix
D4 in Table 1. The predictions are based on an uncracked
concrete condition. Figure 12 shows the test-to-predicted
ratios for the concrete-breakout models in shear and ten-
sion. Figure 12 also compares the capacity of the anchor
reinforcement with the tested failure load for the 1965
CPCI specimens.
As illustrated in Fig. 12, concrete breakout determined
from tension or shear alone significantly underpredictedthe strength for the hangers in all cases. Because all
specimens considered in this 1965 CPCI database included
anchorage reinforcement, test-to-predicted failure-load
ratios for an anchorage-reinforcement-failure model were
also calculated for all test specimens. The data plotted in
Fig. 12 for the anchorage-reinforcement predictions lead
to the conclusion that anchor reinforcement governs the
capacity of these specimens and must be included in the
PCI Design Handbookdesign procedure. A comparison of
the results presented in Fig. 12 and 15 demonstrates that
the shear-friction model is not a reliable predictor of the
capacity of the shallow Cazaly hanger. Reevaluation of
ends. These are referred to as J-straps. The bottom-dowel
bar may be welded to the bottom of the J-strap or just before
the strap bend starts. The bottom-dowel bar welded to the
strap adds additional anchorage to the J-strap and prevents
the strap from rotating out of the concrete (Fig. 3).
The University of Wyoming (UW) tests were designed to
study the behavior and failure of wide, shallow sectionswith Cazaly hangers. Five full-scale test specimens (BS-
17, BS-34, FS-143, FS-143A, FS-143B) were fabricated
and tested at the Rocky Mountain Prestress facility in
Denver, Colo. The test procedure placed fixed weights on
the specimens and used the cranes internal-load sensors
as instrumentation for partial loads during testing. The test
member was placed in such a manner that the cantilevered
top bar of the Cazaly hanger rested on a large hollow
structural section (HSS) tube, with steel shims used to level
the test members. The clearance between the bottom of the
member and the ground varied from 4 in. to 6 in. (100 mm
to 150 mm). The test setup is illustrated in Fig. 14 with
the photo on the right showing one of the fixed-weight test
blocks being placed.
Load application was achieved using 9-ton (18 kip or 80 kN)
concrete blocks. A crane picked up the blocks and set them
down on nominal 6 in. 6 in. (150 mm 150 mm) timber
cribbing. The timber cribbing was used to avoid placing the
test weights directly on the Cazaly hanger hardware or the
projecting lifting devices.
The first loading block was set on the test end of the
member with the cribbing beneath the block. Then a second
block was set at the same level at the opposite end of thespecimen. The process was repeated until four total blocks
were placed on the specimen. A fifth block, as well as the
sixth block if needed, was slowly lowered onto the test
end of the specimen in 1 kip or 2 kip (4.5 kN or 9.0 kN)
increments until failure. Shear loads on the connectors
were computed from the final static loading of the concrete
blocks and the self-weight of the test specimen. Table 2 con-
tains the test results and predictions, while Tables 3 through
5 contain the source information for the UW specimens.7
Tests conducted by UW with modified open straps demon-
strated that the crack begins at the bottom of the strap evenfor the case where the bottom-dowel anchors were above the
bottom of the strap. Therefore, if the bottom dowels were
placed slightly above the bottom of the strap, the distance to
the bottom of the strap was used as the embedment distance
for calculations.
Analysis of test results
The following sections examine the test database results
from the perspective of the PCI Design Handbookand the
ACI 318-08 CCD.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
16/26 11PCI Journal|Fal l 2010
second part, N-L for example, refers to the north end of
the member and the left hanger. In some cases, the hangers
are not completely symmetrical in the member, hence thedual identification. The difference in capacity between the
left and right anchors reflects the asymmetric placement.
In actuality, the lowest-strength hanger would fail first, but
the individual values are provided for comparison. Table 2
presents the results of concrete-breakout-testtopredicted
capacities due to tension and due to shear on the UW speci-
mens using uncracked concrete-breakout capacities calcu-
lated using Eq. (1) and (5). Note that these are the calculated
5% fractile loads accounting for edge and spacing effects.
The results in Table 2 and Fig. 16 suggest that the strength
can be estimated for the Cazaly hanger using either the
all of the design equations in the PCI Design Handbookis
suggested because Fig. 15 shows the trend of all predic-
tion models to be unconservative. The inclusion of anchorreinforcement as a design check predicts a conservative
strength for most of the specimens.
Evaluation of UW specimen
concrete-breakout strength
Initial UW tests were conducted without the inclusion
of anchor reinforcement, allowing assessment of a pure
concrete-breakout failure. The UW test specimens each
contained four Cazaly hangers, two at each end of a beam.
The first part of the test-specimen identification, BS 17,
for example, refers to the test specimen itself, while the
Table 3. Summary o hanger properties or University o Wyoming test specimens
Specimenf'c
Top bar Strap
L L1 L2 e b d f t h' h h" s
psi in. in. in. in. in. in. in. in. in. in. in. in.
BS 17 N-L 6500 22 13.25 5.75 2.875 6 3 0.75 0.313 11 8.5 7.25 3
BS 17 N-R 6500 22 13.25 5.75 2.875 6 3 0.75 0.313 11 8.5 7.25 3
BS 17 S-L 6500 22 13.25 5.75 2.875 6 3 0.75 0.313 11 8.5 7.25 3
BS 17 S-R 6500 22 13.25 5.75 2.875 6 3 0.75 0.313 11 8.5 7.25 3
BS 34 N-L 6500 22 13.25 5.75 2.875 6 3 0.75 0.313 13 10.5 9.25 3
BS 34 N-R 6500 22 13.25 5.75 2.875 6 3 0.75 0.313 13 10.5 9.25 3
BS 34 S-L 6500 22 13.25 5.75 2.875 6 3 0.75 0.313 13 10.5 9.25 3
BS 34 S-R 6500 22 13.25 5.75 2.875 6 3 0.75 0.313 13 10.5 9.25 3
FS-143 N 6000 22 13.25 5.75 2.875 6 3 0.75 0.313 11 8.5 7.25 3
Note: ab= embedment length o bottom dowel; b= width o top bar in Cazaly hanger; bd= width o beam in University o Wyoming test; d= dis-
tance rom extreme compression ber to centroid o longitudinal tension reinorcement or depth o top bar in Cazaly hanger; db= reinorcement bar
diameter; dp= depth o prestress strand in University o Wyoming tests; e= eccentricity to applied load in University o Wyoming test hanger; f=
concrete cover in ront o hanger strap; f 'c = compressive strength o concrete; h= depth rom bottom o top bar to bottom o strap in Cazaly hangeror Canadian PCI specimens, depth rom top o beam to center o bottom anchor or use in PCI equations; h'= depth o embedment o J-strap; h"=
depth o embedment o dowel reinorcement rom top o concrete; L= length o top bar in University o Wyoming tests; L'= length o beams in Uni-
versity o Wyoming tests; L1 = distance rom centerline o strap to end o top bar in University o Wyoming tests; L2 = distance rom centerline o strap
to cantilever end o top bar in University o Wyoming tests; n.a. = not applicable; s= width o strap in Cazaly hanger; s1 = center-to-center spacing o
J-straps in University o Wyoming hanger specimens; se = hal the distance o center-to-center spacing o interior J-straps o two individual hangers in
University o Wyoming specimens; sc = edge spacing rom centerline o J-strap in University o Wyoming hanger specimens. 1 in. = 25.4 mm;
1 psi = 6.895 kPa; 1 kip = 4.448 kN.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
17/26Fal l 2010 |PCI Journal6
breakout capacity.
If concrete-breakout capacity is
insufficient to resist design loads,
add anchor reinforcement for the
required strength per ACI 318-08
section D.5.2.9.
If space is not adequate for anchor
reinforcement, increase the section
size.
5. Design the top bar for bending caused by
the ultimate load with = 0.9.
6. Design the strap(s) to yield at 133% of
the ultimate load with = 0.9.
7. Design the bottom dowel(s) to prevent
strap rotation in the event that the cantile-
ver bar bends at the top weld.
Once the concrete-breakout capacity in shear
is found, the components of the hanger can
be sized. The design procedure for the top bar
and the hanger strap(s) is already included in
the PCI Design Handbooksixth edition.5 The
bottom dowel(s) shall be designed to prevent
strap rotation in the event that the cantilever
bar bends at the top weld.
hf
VA
a
y
udowel
= (7)
where
a = distance from ultimate beamshear
load to centerline of strap
Adowel = area of bottom dowels in Cazaly
hanger
h = depth to bottom dowel from the cen-terline of cantilever bar
fy = yield strength of bottom dowel
Vu = ultimate factored shear load
Strap rotation can only occur if the bottom
dowel fails and the plastic moment capacity
of the top bar is exceeded. The calculation
assumes that the total restraining force will
be carried by the bottom dowel. Because the
cantilever retains its plastic moment capac-
concrete breakout in tension or shear when no anchor reinforcement is
present. The statistical mean and coefficient of variation for these code
equations are comparable to the Anderson-Meinheit6 data, further argu-
ing that this is similar behavior.
The tension breakout capacity used the recommendations of ACI 318-08
appendix D4 without any adjustment for the area of the base of the J- or
U-strap. Without calibration-test data, the authors did not apply ACI 318-08 recommended corrections for the larger head area. Inclusion of a larger
bearing-area correction should increase the tensile breakout capacity,
making the calculation more conservative. The shear-breakout capacity
depends on the embedment of the shear stud e. The only guidance in
ACI 318-08 on the maximum length ofe is that e/da must be less than
8. Therefore, the PCI Design Handbookformulation for shear-breakout
capacity is recommended for design. The bottom dowel does, however,
prevent the tension strap from rotating outward and is, therefore, a neces-
sary part of the design.
The UW test specimens identified an additional case to consider in the
Cazaly hanger design. Specimens were made with the hanger straps
terminating just above the prestressing strand. In those instances, the
end of the member experienced a premature failure when a splitting
crack appeared due to the prestress transfer to the concrete. The test
was aggravated by a splitting tension at the member end along the line
of the prestressing strands (Fig. 17). A lateral, bursting tension stress is
induced in the concrete as a result of prestressing-force transfer into the
concrete in the beam. The bursting tension initiated premature cracking
along the plane of the strand. Without the Cazaly hanger strap confin-
ing the strand, the cracks propagated through the width of the member.
Members that failed in that fashion suggest that a provision requiring
the hanger strap to be extended below the prestressing strand or to in-
clude the splitting tensile zone be included in the design provisions.
Recommendeddesign guidelines
This study suggests updates to the PCI Design Handbookfor the Cazaly
hanger. The principal revision is the inclusion of a CCD check for the
hanger based on the concrete-breakout strength of an anchor in shear
using the PCI Design Handbookheaded-stud shear-breakout design.5
The top bar, strap(s), and bottom dowel(s) of the Cazaly hanger would
then be designed based on the ultimate design load. The recommended
design process is the following:
1. Assume hanger depth consistent with the member depth and a barlength such that the statics results in a force of 1.33Tu in the hanger.
2. Verify that the termination of the hanger strap is not in the splitting
tension zone of the beam web.
3. Compute the concrete-breakout capacity in shear as the nominal
capacity of the connection with = 0.75.
4. Add anchor reinforcement.
If concrete-breakout capacity is sufficient to resist design
loads, add anchor reinforcement for 100% of the concrete-
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
18/26 11PCI Journal|Fal l 2010
As previously stated, the welds in connections should be
stronger than the joined components of the connection to
ity to augment the dowel restraint, no is needed on thebottom-dowel capacity.
Table 4. ACI 318-08 appendix D calculations or concrete breakout due to tension on University o Wyoming specimens
SpecimenConcrete-breakout strength of anchor in tension
hef 1.5hef ca, min ca, max ANco ANc Nb ed,N c,N Ncb
in. in. in. in. in.2 in.2 kip n.a. n.a. kip
BS 17 end 1 let 8.5 12.8 2.25 5.6 650.3 269.63 48.0 0.75 1.25 18.71
BS 17 end 1 right 8.5 12.8 2.25 5.6 650.3 314.63 48.0 0.75 1.25 21.84
BS 17 end 2 let 8.5 12.8 2.25 5.6 650.3 314.63 48.0 0.75 1.25 21.84
BS 17 end 2 right 8.5 12.8 2.25 5.6 650.3 269.63 48.0 0.75 1.25 18.71
BS 34 end 1 let 10.5 15.8 2.25 2.25 992.3 213.75 65.8 0.74 1.25 13.17
BS 34 end 1 right 10.5 15.8 2.25 2.25 992.3 213.75 65.8 0.74 1.25 13.17
BS 34 end 2 let 10.5 15.8 2.25 5.7 992.3 378.45 65.8 0.74 1.25 23.32
BS 34 end 2 right 10.5 15.8 2.25 2.6 992.3 322.65 65.8 0.74 1.25 19.88
FS-143 8.5 12.8 2.25 2.75 650.3 194.25 46.1 0.75 1.25 12.95
Note:ANc = projected concrete ailure area o a single anchor or group o anchors;ANco= projected concrete ailure area o a single anchor i not limited
by corner or edge infuences; ca,max = maximum distance rom center o an anchor strap to edge o concrete; ca,min = minimum distance rom center
o an anchor strap to edge o concrete; hef = eective embedment depth o anchor; n.a. = not applicable; Nb = basic concrete-breakout strength in
tension o a single anchor in cracked concrete; Ncb = nominal concrete-breakout strength in tension o a single anchor; c,N= actor used to modiy
tensile strength o anchors based on presence or absence o cracks in concrete; ed,N= actor used to modiy tensile strength o anchors based on
proximity to edges o concrete member. 1 in. = 25.4 mm; 1 kip = 4.448 kN.
Table 5. ACI 318-08 appendix D calculations or concrete breakout due to shear on University o Wyoming specimens
SpecimenConcrete-breakout strength of anchor in shear
ca1 ca2 da e c,V AVco AVc Vb ed,V Vcb
in. in. in. in. n.a. in.2 in.2 kip n.a. kip
BS 17 end 1 let 8.5 2.6 0.5 20 1.4 325.1 269.6 20.68 0.76 18.28
BS 17 end 1 right 8.5 5.6 0.5 20 1.4 325.1 314.6 20.68 0.83 23.31
BS 17 end 2 let 8.5 5.6 0.5 20 1.4 325.1 314.6 20.68 0.83 23.31
BS 17 end 2 right 8.5 2.6 0.5 20 1.4 325.1 269.6 20.68 0.76 18.28
BS 34 end 1 let 10.5 1.75 0.5 20 1.4 496.1 213.8 28.39 0.73 12.56
BS 34 end 1 right 10.5 1.75 0.5 20 1.4 496.1 213.8 28.39 0.73 12.56
BS 34 end 2 let 10.5 5.7 0.5 20 1.4 496.1 378.5 28.39 0.81 24.52
BS 34 end 2 right 10.5 2.6 0.5 20 1.4 496.1 322.7 28.39 0.75 19.38
FS-143 8.5 2.75 0.5 20 1.4 325.1 194.3 19.87 0.76 12.71
AVc = projected concrete ailure area or an anchor or group o anchors considering limitations due to size o the member in which anchor is located;
AVco = projected concrete ailure area o a single anchor i not limited by corner or edge infuences; ca1 = distance rom center o anchor shat to edge
o concrete in one direction, taken in the direction o the applied shear; ca2 = distance rom the center o the anchor to the edge perpendicular to ca1;
da= outside diameter o anchor; Vb = basic concrete-breakout strength in shear o a single anchor in cracked concrete; Vcb = predicted shear capacity
using PCI ormulation (Eq. [5]); e = load-bearing length o interior cantilever or use in PCI equations; c,V= actor used to modiy shear strength o
anchors based on presence or absence o cracks in concrete; ed,V= actor used to modiy shear strength o anchors based on proximity to edges o
concrete member. 1 in. = 25.4 mm; 1 kip = 4.448 kN.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
19/26Fal l 2010 |PCI Journal8
fy = 36 ksi (250 MPa) (strap)
fy = 46 ksi (320 MPa) (HSS tube)
futa = 90 ksi (620 MPa)
Zyy = 5.56 in.3 (91,000 mm3)
Vu = 6.7 kip (29.8 kN)
= 0.75 (for concrete breakout)
Solution
From statics, the tensile force on the strap is Tu = 1.33Vu
= 1.33(6.7 kip) = 8.91 kip (39.7 kN).
avoid a brittle fracture of the weld. Therefore, at a mini-
mum, the weld between the strap and the bar should be
designed to resist the maximum possible load that the strap
can transfer to the weld. This will ensure that the hanger
will never be critical at the weld.
Example
The proposed design methodology is demonstrated here
through a design example using a modified J-strap Cazaly
hanger in a 12-in.-wide (300 mm) shallow beam (Fig. 18).
Given
fcl = 6500 psi (44.8 MPa)
fy = 60 ksi (420 MPa) (reinforcing bars)
Table 6. Test-to-predicted ailure loads o Canadian PCI specimens using PCI design checks
Specimen f'c, psi Vtest, kip
Concrete breakout:
tension
Concrete breakout:
shearAnchor reinforcement
Vpredict, kipVtest
VpredictVpredict, kip
Vtest
VpredictVpredict, kip
Vtest
Vpredict
P-1-B 8040 18.2 20.30 0.90 26.67 0.68 28.23 0.64
P-2-A 8040 17.3 20.30 0.85 26.67 0.65 28.23 0.61
P-3-A 8040 14.4 20.30 0.71 26.67 0.54 28.23 0.51
P-4-A 8040 16.7 20.30 0.82 26.67 0.63 28.23 0.59
T-1-1 4910 33.5 42.29 0.79 47.62 0.70 55.34 0.61
T-1-2 4910 33.8 42.29 0.80 47.62 0.71 55.34 0.61
T-3-5 5430 39.3 42.29 0.93 47.62 0.83 55.34 0.71
T-5-9 5630 43.4 42.29 1.03 47.62 0.91 55.34 0.78
T-5-10 5630 36.5 42.29 0.86 47.62 0.77 55.34 0.66
T-7-14 7160 44.3 42.29 1.05 47.62 0.93 72.28 0.61
T-9-17 6375 46.7 42.29 1.10 47.62 0.98 56.47 0.83
T-11-22 7280 47.5 43.98 1.08 47.62 1.00 55.34 0.86
T-12-23 7220 39.9 43.98 0.91 30.30 1.32 55.34 0.72
A-2-3 5820 35.3 42.29 0.83 47.62 0.74 55.34 0.64
T-13-26 5240 50.3 42.29 1.19 47.62 1.06 55.34 0.91
Average 0.96 0.78 0.76
Standard deviation 0.31 0.25 0.41
Coecient o variation 0.32 0.32 0.53
Note: The hanger strap provides the lowest predicted strength capacity and is thereore the most critical element. The moment in the top bar and the
dowel are over strength and hence have the lower Vtest/Vpredict. f 'c = compressive strength o concrete; Vpredict = shear orce predicted rom theory;
Vtest = shear orce obtained in experimental program. 1 psi = 6.895 kPa; 1 kip = 4.448 kN.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
20/26 11PCI Journal|Fal l 2010
Figure 16. Test-to-predicted ailure-load ratios are given or concrete breakout on the University o Wyoming tests. Note: 1 kip = 4.448 kN.
Figure 15. Test-to-predicted ailure-load ratios are given or PCI Design Handbookequations. Note: 1 psi = 6.895 kPa.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
21/26Fal l 2010 |PCI Journal0
2. Check the capacity of the top bar.
Mu = 6.7 kip(5.25 in.) = 35.2 kip-in. (3.97 kN-m)
Mn = fy(Zyy) = 0.9(46 ksi)(5.56 in.2) = 230 kip-in.
(26 kN-m) >Mu OK
3. Check the capacity of the straps.
Tu = 1.33Vu= 1.33(9.0 kip) = 12.0 kip (53.4 kN)
Tn = fyAst= 0.9(2)(36 ksi)(3 in. 5/16 in.)
= 60.8 kip (270 kN) > Tu OK
4. Check the capacity of the lower dowels.
Areq =.
.
hf
V a
7.25 in 60 ksi
9.0 kip 5.25 in
y
u =a
akk
(70 mm2)
Adowel = 2 (0.2 in.2) = 0.4 in.2 (258 mm2) > 0.11 in.2 OK
5. Design anchor reinforcement.
Anchor reinforcement strength should be equal to the
shear capacity required within hef/2 of the end of the
beam. Thus, the anchor reinforcement for hef= 11 in.
is
Av = 1.33 Vu/fy = 1.33 6.7/(0.75 60) = 0.20 in.2
(129 mm2)
1. Calculate the concrete-breakout strength in shear using
the PCI Design Handbookshear equations and nota-
tion and assumed hanger embedment depthBED.
The depth to the bottom of the inside of the strap is
used as the effective depth, while any edge distances
are taken from the centerline of the strap:
BED = 11 in.(280 mm)
SED =2
12 616
5-
= 2.84 in.(72.2 mm)
Vco3 = . f BED16 5. .
c
0 5 1 33la k = 32.3 kip (144 kN)
C3 = .BED
SED0 7
3 = 0.446
Ch = Ceva = Cvcr= 1.0
Vc3 = Vco3C3ChCev3Cvcr= (32.3)(0.446)(1)(1)(1)
= 14.4 kip (64.1 kN)
Vc3 = 0.75(14.4) = 10.8 kip(48 kN)
Based on the given concrete properties and dimensions
of the hanger components, the breakout capacity is
10.8 kip (41.4 kN), which is greater than the ultimate
load of 8.9 kip (39.7 kN). Therefore, the hanger break-
out is satisfactory.
Figure 17. The location o the splitting tension zone is shown in the University o Wyoming test specimens.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
22/26 12PCI Journal|Fal l 2010
are analogous to the strap of the Cazaly hanger, though ad-
ditional modeling of the anchor is needed for direct com-
parison. The equations for concrete-breakout capacity in
ACI 318-08, or the PCI Design Handbook, can be applied
directly to the Cazaly hanger, except that the embedment
depth is taken to the bottom of the hanger plate. Thus, the
bottom of the strap is used for determining the embedment
depth and the bottom-dowel anchor prevents the rotation
of the hanger after the concrete has failed. Calculation
using the PCI Design Handbookequations for shear issimpler than using the ACI 318-08 equations for shear.
Evaluation of the test results from the CPCI 1965 research
program on hanger connections established that anchor
reinforcement resisted the end shear load after the concrete
cracked in a concrete-breakout mode. If the yield strength
of the anchor reinforcement is used for design, the anchor
reinforcement is an accurate and conservative approach to
finding the capacity of the 1965 CPCI Cazaly hanger test
specimens. The UW tests demonstrated the application
of a concrete-breakout model to accurately and conser-
vatively predict the capacity of the connection in shallow,unreinforced members. This is in contrast to the shear-friction
design currently included within the PCI Design Handbook,5
which overpredicts the capacity of the hanger. A statistical
analysis of the test data for concrete breakout was similar to
the results of the tension breakout strength as conducted by
Anderson and Meinheit6 and further suggests that a strength-
reduction factor of = 0.75 is appropriate for the design. This
is consistent with the methods of ACI 318-08 appendix D.4
Recommendationsfor future work
One no. 4 stirrup (Av = 2 0.20 in.2 = 0.40 in.2 [260
mm2]) is sufficient for anchor reinforcement. The stir-
rup should be located within 51/2 in. (140 mm) of the
center of the strap.
Deep sectionsand strengtheningexisting hangers
This research focused on shallow sections. As the sec-tions become deeper, the breakout strength increases to the
point that the hanger bar or the strap becomes the critical
limiting capacity. Thus, each possible failure mechanism
must be checked for a valid design; however, no key depth
correction is required.
In most applications, the anchor reinforcement comple-
ments the concrete-breakout capacity, which means that
older installations would be safe. If evaluation of an exist-
ing installation results in insufficient capacity, a Cazaly
hanger can be strengthened by through-bolting a plate
above and below the hanger such that the bolts provide theanchor reinforcement.
Conclusion
Testing on full-scale Cazaly hangers revealed that concrete
breakout is the predominant failure mode of the shallow Ca-
zaly hanger under vertical load and that this behavior does not
conform to the originally postulated shear-friction behavior
forming the basis of the longstanding design methodology.
ACI 318-08 appendix D4 specifies methods for CCD of
headed studs in concrete. Headed studs in tension or shear
Figure 18. This sketch shows the Cazaly hanger used in the example problem. Note: HSS = hollow structural section; Vu= ultimate, actored shear load.
1 = 1 in. = 25.4 mm; 1' = 1 t = 0.305 m; #4 = no. 4 = 25 mm.
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
23/26Fal l 2010 |PCI Journal2
Department of Civil and Architectural Engineering,
Laramie, Wyoming.
Notation
a = distance from location of application of load to
location of support reaction for use in Canadian
PCI test setup or distance from support reaction tocenterline of strap for use in PCI equations
ab = embedment length of bottom dowel
Adowel = area of bottom dowels in Cazaly hanger
An = area of upper dowel in Cazaly hanger for use in
PCI Design Handbookequations or projected area
of an insert or group of inserts
ANc = projected concrete failure area of a single anchor
or group of anchors
ANco = projected concrete failure area of a single anchor
if not limited by corner or edge influences
Areq = required area of bottom dowels in Cazaly hanger
to prevent pryout
Ast = area of strap cross section
Av = area of anchor reinforcement
AVc = projected concrete failure area for an anchor or
group of anchors considering limitations due tosize of the member in which anchor is located
AVco = projected concrete failure area of a single anchor
if not limited by corner or edge influences
b = width of top bar in Cazaly hanger
b1 = width of beam containing Cazaly hanger, for use
in PCI equations
bd = width of beam in University of Wyoming test
BED = depth of embedment of the Cazaly hanger
c = clear cover of strap in Cazaly hanger
ca1 = distance from center of anchor shaft to edge of
concrete in one direction, taken in the direction of
the applied shear
ca2 = distance from the center of the anchor to the edge
perpendicular to ca1
ca,max = maximum distance from center of anchor strap to
The calculations, assessments, and recommended design
guidelines presented in this research were calibrated on
work conducted in 1965. The UW test specimens demon-
strated the ability of the CCD approach from ACI 318-08
appendix D4 to predict the capacity of the connection.
However, current test-specimen data are limited and ad-
ditional testing on numerous specimens with a wider range
of hanger depths, as well as different variations of anchorreinforcement, would provide confirmation and better
statistical reliability for todays practice. Additional testing
and calibration would provide greater assurance for the
precast concrete industry and would possibly adjust the phi
factor used for these connections.
Acknowledgments
The UW specimens for this research, as well as assistance
with testing, were provided by Rocky Mountain Prestress
of Denver, Colo., and their input on specimen design and
testing are greatly appreciated. The views and opinions
expressed in this paper are those of the authors and do not
necessarily reflect those of Rocky Mountain Prestress. The
authors also extend their appreciation to John Hanlon, the
members of the PCI Industry Handbook Committee, and
the PCI Technical Activities Council, whose review and
comments improved this paper.
References
1. Slater, W. M. 1966. Canadian Prestressed Concrete
Institutes 1965 Research Program on Hanger Connec-
tions. PCI Journal, V. 11, No. 3 (June): pp. 7282.
2. Ife, J. S., S. M. Uzumeri, and M. W. Huggins. 1968.
Behavior of the Cazaly Hanger Subjected to Vertical
Loading. PCI Journal, V. 13, No. 6 (December): pp.
4866.
3. PCI Industry Handbook Committee. 1985. PCI Design
Handbook: Precast and Prestressed Concrete. MNL-
120. 3rd ed. Chicago, IL: PCI.
4. ACI Committee 318. 2008.Building Code Require-
ments for Structural Concrete (ACI 318-08) and
Commentary (ACI 318R-08). Farmington Hills, MI:American Concrete Institute (ACI).
5. PCI Industry Handbook Committee. 2004. PCI Design
Handbook: Precast and Prestressed Concrete. MNL-
120. 6th ed. Chicago, IL: PCI.
6. Anderson, N. S., and D. F. Meinheit. 2006. Design
Criteria for Headed Stud Groups in Shear. Final report.
Chicago, IL: PCI.
7. Joy, W. T. 2008. Concrete Capacity Design of the
Cazaly Hanger. MS thesis. University of Wyoming,
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
24/26 12PCI Journal|Fal l 2010
kc = coefficient for basic concrete-breakout strength in
tension
b = load-bearing length of interior cantilever for use
in PCI equations
e = load-bearing length of anchor for shear
p = bearing length of exterior cantilever for use in PCI
equations
L = length of top bar in University of Wyoming tests
L' = length of beams in University of Wyoming tests
L1 = distance from centerline of strap to end of top bar
in University of Wyoming tests
L2 = distance from centerline of strap to cantilever end
of top bar in University of Wyoming tests
Mn = nominal flexural strength
Mu = ultimate factored moment at section
N = tensile force on insert
Nb = basic concrete-breakout strength in tension of a
single anchor in cracked concrete
Ncb = nominal concrete-breakout strength in tension of a
single anchor
s = width of strap in Cazaly hanger
s1 = center-to-center spacing of J-straps in University
of Wyoming hanger specimens
sc = edge spacing from centerline of J-strap in Univer-
sity of Wyoming hanger specimens
se = half the distance of center-to-center spacing of
interior J-straps of two individual hangers in Uni-
versity of Wyoming specimens
SED = side edge distance to centerline of insert
Tn = nominal tensile strength of hanger strap
Tu = ultimate factored tensile force on hanger strap
V = shear force on insert
Vb = basic concrete-breakout strength in shear of a
single anchor in cracked concrete
Vc3 = PCI shear breakout capacity
edge of concrete
ca,min = minimum distance from center of anchor strap to
edge of concrete
C3 = PCI correction for edge effects
Ccrb = coefficient for cracked section in PCI formulationof tensile capacity of insert
Cev = PCI correction for eccentric load
Ch = PCI correction for thickness
Cvcr = PCI correction if the section is cracked
d = distance from extreme compression fiber to
centroid of longitudinal tension reinforcement or
depth of top bar in Cazaly hanger
da = outside diameter of anchor
db = reinforcing-bar diameter
dp = depth of prestress strand in University of Wyo-
ming tests
e = eccentricity to applied load in University of Wyo-
ming test hanger
f = concrete cover in front of hanger strap
fbu = bearing pressure created by interior cantilever foruse in PCI equations
fcl = compressive strength of concrete
futa = specified tensile strength of anchor steel
fy = yield strength of steel, varies for reinforcement,
strap, top bar
g = gap between member and support, for use in PCI
equations
h = depth from bottom of top bar to bottom of strap
in Cazaly hanger for Canadian PCI specimens or
depth from top of beam to center of bottom anchor
for use in PCI equations
h' = depth of embedment of J-strap
h" = depth of embedment of dowel reinforcement from
top of concrete
hef = effective embedment depth of anchor
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
25/26Fal l 2010 |PCI Journal4
Vcb = predicted shear capacity using PCI formulation
(Eq. [5])
Vco3 = PCI basic shear breakout strength of an insert
Vn = nominal shear strength
Vpredict = shear force predicted from theory
Vtest = shear force obtained in experimental program
Vu = ultimate factored shear load
Zyy = plastic section modulus
= strength-reduction factor
= modification factor reflecting reduced mechanicalproperties of lightweight concrete relative to nor-
malweight concrete of same compressive strength
c,N = factor used to modify tensile strength of anchorsbased on presence or absence of cracks in concrete
c,V = factor used to modify shear strength of anchors
based on presence or absence of cracks in concrete
cp,N = factor used to modify tensile strength of post-installed anchors intended for use in uncracked
concrete without supplementary reinforcement
ed,N = factor used to modify tensile strength of anchors
based on proximity to edges of concrete member
ed,V = factor used to modify shear strength of anchors
based on proximity to edges of concrete member
-
8/3/2019 Concrete Capacity of Cazaly Hangers in Shallow Members
26/26
About the authors
Westin T. Joy is a civil engineer
with the Materials Engineeringand Research Laboratory of the
U.S. Bureau of Reclamation in
Lakewood, Colo.
Charles W. Dolan, FPCI, is the H.
T. Person Professor of Engineer-
ing at the University of Wyoming
in Laramie.
Donald F. Meinheit, FPCI, is an
affiliated consultant with Wiss,
Janney, Elstner Associates Inc. in
Chicago, Ill.
Synopsis
This paper evaluates the behavior of the Cazaly hanger
under vertical load and proposes an additional design
requirement for the connection. In 1965, Canadian PCIinstigated a research program to evaluate the behavior
of the hanger, which led to the shear-friction design
basis for the hanger in the third edition of the PCI
Design Handbook: Precast and Prestressed Concrete.
Current tests show that in shallow sections the hanger
does not follow shear-friction behavior but instead
behaves more closely to a concrete-breakout model.Reassessment of the 1965 specimens revealed shear-
friction to be a poor predictor of capacity in shallow
sections, while the concrete-breakout models provide
conservative predictions. A proposed revision to the
sixth edition of the PCI Design Handbookbased on
concrete-breakout capacity is recommended for Cazaly
hanger design method.
Keywords
Cazaly hanger, design, vertical load.
Review policy
This paper was reviewed in accordance with the
Precast/Prestressed Concrete Institutes peer-review
process.
Reader comments
Please address any reader comments to journal@pci
.org or Precast/Prestressed Concrete Institute, c/o PCI
Journal, 200 W. Adams St., Suite 2100, Chicago, IL
60606. J