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7/26/2019 gsgdgdgdagadgd
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Headed stud shear connector for thin ultrahigh-performance concrete
bridge deck
Jee-Sang Kim a, Jongwon Kwark b, Changbin Joh b, Sung-Won Yoo c, Kyoung-Chan Lee d,a Seokyeong University, 16-1 Jungneung-Dong, Sungbuk-gu, Seoul 136-704, Koreab Korea Institute of Civil Engineering and Building Technology, 283 Goyangdae-ro, Ilsangseo-gu, Goyang-si, Gyeonggi-do 411-712, Koreac Woosuk University 66 Daehak-ro, Jincheon-eup, Chungcheongbuk-do 365-803, Koread Korea Railroad Research Institute, 176 Cheoldobangmulgwan-ro, Uiwang-si, Gyeonggi-do 437-757, Korea
a b s t r a c ta r t i c l e i n f o
Article history:
Received 4 November 2014
Accepted 4 February 2015
Available online xxxx
Keywords:
Headed stud
Shear connector
Ultrahigh-performance concrete
Composite beam
Bridge slab deck
Ultrahigh-performance concrete (UHPC) provides much higher compressive and tensile strength than
conventional concrete. UHPC is advantageous for use as a bridge slabdeck owing to its higher strength, stiffness,
and durability. One drawback, however, is the fact thatthe joint region connectingthe deck and girder generally
has a thicker cross-section to ensure proper shear connection, which hinders making the overall UHPC deck
thinner and lighter. In addition, the shear strength of stud shear connectors embedded in UHPC slab has not
been veried to be the same as that in a conventional concrete deck. This study investigates a stud shear
connector embedded in a UHPC deck through 15 push-out tests. The ultimate strength of the stud and relative
slips are measured. The test parameters were chosen to prove the feasibility of a thinner slab. The stud aspect
ratio, overall height-to-diameter, and cover thickness on top of the stud head requirement are also examined
to verify the existing geometrical constraints specied in the AASHTO LRFD and Eurocode-4 design codes for
UHPC decks. It was shown that the aspect ratio can be reduced from 4 to 3.1 without loss of shear strength of
the stud, and the cover could be reduced from 50 mm to 25 mm without causing a splitting crack at the UHPC
slab. However, the required ductility demand, 6 mm, was not realized in all cases. Therefore, the stud shear
connectors in a UHPC deck should be designed according to the elastic criterion.
2015 Elsevier Ltd. All rights reserved.
1. Introduction
Ultrahigh-performance concrete (UHPC) is an advanced composite
material consisting of a high-strength matrix andbers. It offers signif-
icantly superior compressive (N150MPa) andtensile strength (N5 MPa)
compared to conventional concrete, as well as higher modulus of
elasticity (N40 GPa)[1]. It is typically made from a mixture of Portland
cement, silica fume, ller, ne aggregate, high-range water reducer,
water, and steelbers.
UHPC is being increasingly used worldwide in various components
of civil infrastructure. In particular, many studies have investigated its
application to bridgecomponents such as girders, decks,and connection
joints owing to its higher strength, stiffness, and durability. Many
studies have investigated the use of UHPC as a deck slab component.
Saleem et al.[2,3]developed a low-prole UHPC deck system as an
alternative to an open-grid steel deck. Coreslab Structures Inc. devel-
oped a wafe-shaped UHPC panel that wasinstalled in a bridge in Little
Cedar Creek, Wapello County, Iowa, US[4], and Aaleti and Sritharan
[57] investigated the structural behavior and proposed a design
guide for this panel system, including connections.
Efforts have also been made to develop a hybrid beam that
comprises an FRP girder strengthened with a layer of UHPC slab on
top. Chen and El-Hacha[810]used 9.5-mm-diameter GFRP studs to
join the hollow-box FRP girder and a 53-mm-thick UHPC layer on top.
Nguyen et al.[11,12]developed a hybrid composite beam comprising
an FRP I-girder topped with a precast UHPC slab, which uses M16
bolts as shear connectors with an epoxy bonding. The UHPC slab was
50 mmthick,and thebolt wasembedded to a depthof 35mm, resulting
in only 15 mm of cover on top of the bolt head and stud height-to-
diameter aspect ratio of 2.2. This cover thickness and aspect ratio do
not satisfy the values of 50 mm and 4, respectively,specied in existing
design codes.
A UHPC bridge deck can feasibly have a thinner cross-section than a
conventional concrete deck, as shown in previous studies[512]. How-
ever, the joint region connecting the deck and the steel girder should
have thickness comparable to that in the conventional case to ensure
that shear connectors can be properly installed and embedded in the
deck in order to conform to existing designcodes. Forexample, two pre-
viously developed UHPC deck systems have joint connections with
thicknesses of 127 mm (5 in.)[2,3]and 203 mm (8 in.) [4,5], which
are no less than that of a conventional concrete deck. Because the
Journal of Constructional Steel Research 108 (2015) 2330
Corresponding author. Tel.: +82 31 460 5391; fax: + 82 31 460 5364.
E-mail addresses:[email protected](J.-S. Kim),[email protected](J. Kwark),
[email protected](C. Joh),[email protected](S.-W. Yoo),[email protected](K.-C. Lee).
http://dx.doi.org/10.1016/j.jcsr.2015.02.001
0143-974X/ 2015 Elsevier Ltd. All rights reserved.
Contents lists available atScienceDirect
Journal of Constructional Steel Research
https://www.researchgate.net/publication/254593292_Alternatives_to_Steel_Grid_Bridge_Decks?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265277498_Ultra-High-Performance_Concrete_Bridge_Deck_Reinforced_with_High-Strength_Steel?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/264824216_Design_of_Ultrahigh-Performance_Concrete_Waffle_Deck_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/251542995_Behaviour_of_hybrid_FRP-UHPC_beams_in_flexure_under_fatigue_loading?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/251669986_Behaviour_of_hybrid_FRP-UHPC_beams_subjected_to_static_flexural_loading?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/256968708_Damage_tolerance_and_residual_strength_of_hybrid_FRP-UHPC_beam?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/262673201_Flexural_Behavior_of_Hybrid_Composite_Beams?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265291523_Hybrid_Fiber-Reinforced_Polymer_Girders_Topped_with_Segmental_Precast_Concrete_Slabs_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/264824216_Design_of_Ultrahigh-Performance_Concrete_Waffle_Deck_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265291523_Hybrid_Fiber-Reinforced_Polymer_Girders_Topped_with_Segmental_Precast_Concrete_Slabs_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/254593292_Alternatives_to_Steel_Grid_Bridge_Decks?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265277498_Ultra-High-Performance_Concrete_Bridge_Deck_Reinforced_with_High-Strength_Steel?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==http://dx.doi.org/10.1016/j.jcsr.2015.02.001http://dx.doi.org/10.1016/j.jcsr.2015.02.001http://dx.doi.org/10.1016/j.jcsr.2015.02.001mailto:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]://dx.doi.org/10.1016/j.jcsr.2015.02.001http://www.sciencedirect.com/science/journal/0143974Xhttps://www.researchgate.net/publication/254593292_Alternatives_to_Steel_Grid_Bridge_Decks?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/254593292_Alternatives_to_Steel_Grid_Bridge_Decks?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/264824216_Design_of_Ultrahigh-Performance_Concrete_Waffle_Deck_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/264824216_Design_of_Ultrahigh-Performance_Concrete_Waffle_Deck_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265291523_Hybrid_Fiber-Reinforced_Polymer_Girders_Topped_with_Segmental_Precast_Concrete_Slabs_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265291523_Hybrid_Fiber-Reinforced_Polymer_Girders_Topped_with_Segmental_Precast_Concrete_Slabs_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/251542995_Behaviour_of_hybrid_FRP-UHPC_beams_in_flexure_under_fatigue_loading?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/251542995_Behaviour_of_hybrid_FRP-UHPC_beams_in_flexure_under_fatigue_loading?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/256968708_Damage_tolerance_and_residual_strength_of_hybrid_FRP-UHPC_beam?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/256968708_Damage_tolerance_and_residual_strength_of_hybrid_FRP-UHPC_beam?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/262673201_Flexural_Behavior_of_Hybrid_Composite_Beams?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/262673201_Flexural_Behavior_of_Hybrid_Composite_Beams?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/251669986_Behaviour_of_hybrid_FRP-UHPC_beams_subjected_to_static_flexural_loading?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/251669986_Behaviour_of_hybrid_FRP-UHPC_beams_subjected_to_static_flexural_loading?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265277498_Ultra-High-Performance_Concrete_Bridge_Deck_Reinforced_with_High-Strength_Steel?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265277498_Ultra-High-Performance_Concrete_Bridge_Deck_Reinforced_with_High-Strength_Steel?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==http://www.sciencedirect.com/science/journal/0143974Xhttp://dx.doi.org/10.1016/j.jcsr.2015.02.001mailto:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]://dx.doi.org/10.1016/j.jcsr.2015.02.001http://crossmark.crossref.org/dialog/?doi=10.1016/j.jcsr.2015.02.001&domain=pdf7/26/2019 gsgdgdgdagadgd
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thinnest sections of the UHPC deck are 32 mm (1.25 in.) [2,3]and
63.5 mm (2.5 in.) [47], a shear connection requires a signicantly
thick UHPC deck; this goes against the design objective of reducing
the self-weight and lowering the prole of the deck. This study investi-
gates the structural behavior of stud shear connectors embedded in
UHPC decks of various thicknesses and conrms the validity of existing
design codes for this application.
Since 1960, composite structures have been widely used owing to
their structural ef
ciency. They typically consist of a steel girder andconcrete deck that transfers shear force through suitable shear connec-
tors such as angles, channel sections, headed studs, and perforated ribs.
Headed studs are used most commonly owing to their simple and quick
installation using a stud-welding gun and superior ductility than other
types of shear connectors.
The static strength of studshear connectors was originally evaluated
based on Ollgaard et al.s[13]early experimental work. They showed
that the static strength of a stud shear connector is controlled by two
different failure mechanisms: surroundingconcrete crushing failure, re-
lated to concretes compressive strength,fc0
, and shearing failure of the
shank of the stud, related to the studs ultimate tensile strength,Fu. The
smaller value between the two different mechanisms controls the
designshearstrengths of a stud shear connector. TheAASHTO LRFD pro-
vision 6.10.10.4.3[14]de
nes the design static strength of a stud shearconnector,Qr, as
Qr scQn sc0:5Asc
ffiffiffiffiffiffiffiffiffiffif
0
cEc
q sc FuAsc 1
where the resistancefactor,sc, is taken as 0.85. Eurocode-4 [15] denes
the design static shear strength, PRd, as
PRd 0:29d
2ffiffiffiffiffiffiffiffiffiffif
0
cEc
q
v
0:8 FuAscv
2
where thepartial factor,v, is taken as 1.25, and an aspect ratio factor,,
which depends upon the stud height-to-diameter ratio, hsc/d, istakenas
0.2(hsc/d+ 1) for 3 hsc/d 4 and 1 forhsc/d 4.
Differentdesigncodes have differentresistance or partial factors. How-ever, they are similar in that the left-hand side terms of Eqs. (1) and (2)
refer to concrete crushing failure in terms of the surrounding concrete
strength (fc' ) and modulus of elasticity (Ec) but not themechanical prop-
erty of the embedded stud. Furthermore, the right-hand side terms of
Eqs. (1) and (2) refer to stud shank failure in terms of the ultimate ten-
sile strength (Fu) of the stud but not the mechanical propertyof the sur-
rounding concrete. The concrete crushing failure controls when the
compressive strength of the concrete is low or moderate, and the stud
shank failure does when the strength is high. The threshold between
the two failure modes usually lies at a concrete compressive strength
of 3040 MPa.
Considering that the compressive strength of UHPC exceeds
150 MPa, the stud shank failure mode obviously always controls the
static strength of the stud shear connector. Ollgaard et al.[13]reported
that the concrete strength of their specimens was 1835 MPa. There-
fore, the validity of existing design codes for stud shear connectors
should be conrmed for UHPC applications because it provides much
higher concrete strength than before.
Geometrical constraints are another important issue with regard to
UHPC decks in that they must be as thin as possible to reduce their
weight and construction costs. The constraints of existing design codes
may result in a UHPC deck with a thicker cross-section at the joint re-
gion between the deck and the girder. The thickness of wafe deck
panels [47] is 63.5 mm at the thinnest region between ribs but
200 mm at the joint region. Saleem[2,3]developed a low-prole deck
system that is as thin as 31 mm between ribs but is 125-mm-thick at
the joints. This study investigates a joint region with a thickness of
only 75 mm to overcome the stocky joint region resulting when apply-
ing a current design code to the shear connectors embedded in a UHPC
deck.
Therst geometrical constraint is the aspect ratio between the over-
all stud height and the shank diameter. The AASHTO LRFD[14]and
Eurocode-4[15]design codes require an aspect ratio of at least fourand three, respectively. The second constraint is the concrete cover
thickness over the stud head to prevent a longitudinal splitting crack
on top of the shear connector. The AASHTO LRFD provision 6.10.10.1.4
[14]regulates that the clear depth of the concrete cover over the top
of a shear connector should not be less than 50 mm and should pene-
trate at least 50 mm into the concrete deck. For example, when using
the most common diameter of 17 mm for a stud for a bridge deck and
Table 1
Push-out test specimens.
Specimen
group
Deck
thickness
(mm)
Stud shear connector Cover
thickness
(mm)
EA
Height
(mm)
Diameter
(mm)
Aspect ratio
(height/diameter)
Normal 150 100 22 4.5 50 3
UHPC-I 150 100 22 4.5 50 3
UHPC-II 100 65 16 4.1 35 3
UHPC-III 100 50 16 3.1 50 3
UHPC-IV 75 50 16 3.1 25 3
Fig. 1.Push-out specimen dimensions.
24 J.-S. Kim et al. / Journal of Constructional Steel Research 108 (2015) 2330
https://www.researchgate.net/publication/254593292_Alternatives_to_Steel_Grid_Bridge_Decks?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265277498_Ultra-High-Performance_Concrete_Bridge_Deck_Reinforced_with_High-Strength_Steel?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/264824216_Design_of_Ultrahigh-Performance_Concrete_Waffle_Deck_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/264824216_Design_of_Ultrahigh-Performance_Concrete_Waffle_Deck_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/254593292_Alternatives_to_Steel_Grid_Bridge_Decks?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265277498_Ultra-High-Performance_Concrete_Bridge_Deck_Reinforced_with_High-Strength_Steel?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/254593292_Alternatives_to_Steel_Grid_Bridge_Decks?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/254593292_Alternatives_to_Steel_Grid_Bridge_Decks?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/264824216_Design_of_Ultrahigh-Performance_Concrete_Waffle_Deck_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/264824216_Design_of_Ultrahigh-Performance_Concrete_Waffle_Deck_for_Accelerated_Bridge_Construction?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265277498_Ultra-High-Performance_Concrete_Bridge_Deck_Reinforced_with_High-Strength_Steel?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/265277498_Ultra-High-Performance_Concrete_Bridge_Deck_Reinforced_with_High-Strength_Steel?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==7/26/2019 gsgdgdgdagadgd
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when following the AASHTO LRFD design code[13], the deck thickness
should be at least four times the diameter plus 50 mm cover, for a thick-
ness of at least 118 mm. This is one reason why the composite joint is
chunky.
The Eurocode-4 provision 6.6.5.1[15]regulates that the surface of a
connector should not extend less than 30 mm clear above the bottom
reinforcement, and provision 6.6.5.2 regulates that the cover should
not be less than that required for reinforcement adjacent to the same
surface of concrete. As the UHPC deck does not always enclose rein-
forcement, applying the cover thickness given in the Eurocode-4 design
code[15]is not possible.
The UHPC material provides much higher strength and durability
[1], and therefore, the deck thickness can be much less than when
using conventional concrete. However, this may not be the case at the
deck girderjoint owing to thegeometrical constraints forthe embedded
shear connectors to ensure the transfer of the longitudinal shear force.
This study investigates the static strength and behavioral validity of
stud shear connectors for a thin UHPC solid slab deck.
Several factors limit the use of stud shear connectors in a thin UHPC
deck slab. The rst is concern over whether the stud shear connector
embedded in UHPC provides equivalent static strength compared to
that in conventional concrete. The second is concern related to the geo-
metrical properties; the installation of stud shear connectors is subject
to geometrical constraints such as the height-to-diameter ratio and
cover thickness over the stud head, and existing design codes may
not, in fact, allow the use of stud shear connectors for thin deck slabs.
The last is concern over the ductility provided by stud shear connec-
torsbecause the strengthof the surrounding concrete is muchhigherthan that of conventional concrete such that the structural behavior
may differ from stud shear connectors embedded in conventional
concrete.
2. Experimental program
Shear connectors at a exural composite member resist the relative
slip occurringat theinterface between the girder and the slab deck. The
best way to measure the static strength of the shearconnectors is a ex-
ural beam test under a distributed load. However, to reducethe cost and
time, a direct push-out test is generally used instead. The experiment in
this study follows a standard test procedure given in the Eurocode-4-1-
1 design code[16].Five groups of specimensNormal and UHPC-I to UHPC-IVare pre-
pared, as listed inTable 1, and three specimensA, B, and Care pre-
pared for each group. The key variables of the test program are the
deck thickness and resulting stud aspect ratio and cover. The Normal
case has specimens with a conventional reinforced concrete slab for cal-
ibrating the test setup and for the purpose of comparison. The UHPC-I
case has identical dimensions to the Normal case and differs only in
that the deck is made of UHPC instead of conventional concrete. Both
the Normal and the UHPC-I specimens have the same thickness as the
conventional concrete deck, and the stud shear connector satises the
given geometrical constraints: aspect ratio of at least four and cover of
at least 50 mm. UHPC-II and UHPC-III specimens have 100-mm-thick
decks. The cover on top of the stud in UHPC-II specimens is 35 mm
thick, which is less than the requirement. UHPC-III specimens satisfy
the cover requirement; however, the aspect ratio is only 3.1, which is
less than the required value of four. UHPC-IV specimens have the thin-
nest slab, which is only 75 mm thick, and its cover thickness and aspect
ratio of 25 mm and 3.1, respectively, do not satisfy the requirements.
The specimens are prepared for a two-face push-out test. Four studs
are welded at eachface, as shown in Fig. 1. These headed studs meet the
Type B requirements specied in AWS.D 1.1[17], namely, minimum
yield strength of 350 MPa and minimum tensile strength of 450 MPa,
and they are welded on the ange using a conventional stud-welding
gun. In this study, studs with two different diameters are used:
22 mm for Normal and UHPC-I groups and 16 mm for the other groups,
as shown inTable 1. The stud diameters are chosen according to the
thickness of the deck to meet the requirement of aspect ratio of four;
Normal and UHPC-I groups have 150-mm-thick slabs and the other
groups have thinner slabs. The tensile and shear strength properties ofheadedstuds were testedfrom a direct tension anddouble-shearguillo-
tine tests. The direct tension test xture used for this purpose was sim-
ilar to that suggested in AWS D1.1-2000[17]. A double-shear guillotine
Table 2
UHPC mixture.
w/b ratio Cement Silica
fume
Filler Fine
aggregate
Water
reducer
Steel
ber
0.07 1.0 0.25 0.3 1.1 0.016 16.5 mm 1%
19.5 mm 1%
Fig. 2.UHPC casting in horizontal position.
120mm
FL
FR
BR
BL
100mm
Back
Front Transverse
Displacement
Fig. 3.Displacement measurement plan.
25J.-S. Kim et al. / Journal of Constructional Steel Research 108 (2015) 2330
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test was conducted on the middle third of the stud shank to determine
the steel shear strength; this test was conducted using an apparatus
similar to that used by Anderson and Meinheit[18].
Table 2provides details of the mixture of the UHPC. Steel bers of
two different lengths, 16.5 and 19.5 mm, are mixed together with 1%
volume each. The UHPC is designed for a characteristic compressive
strength of 180 MPa, the measured minimum strength was 200 MPa;
measured minimum tensile strength was 18 MPa, and the measured
modulus of elasticity was 4.5 105 MPa. The measured compressive
strength of the Normal specimen group was 35 MPa.
Steel sections used for simulating a steel girder have width, depth,
web thickness,andange thickness of 300, 300, 10, and 15 mm, respec-
tively. UHPC cannot easily be cast in the vertical direction, and the cast-ing direction may affect the test result. Therefore, the steel section is cut
at themiddle ofthe web inthe longitudinaldirection and the caston top
of a ange to simulate theeld application casting direction, as shown
in Fig.2. Thespecimens were steam-cured andthe initialcuring temper-
ature was 40 C, and it was increased by 10 C every hour up to 90 C.
Steam-curing was done for three days and the temperature was gradu-
ally decreased at the end of the curing process. After curing, the push-
out specimens were prepared with two separate faces bolted together
at the cut section of the web using an M24 high-tension bolt.
The prepared specimens were loaded using a 2000 kN universal test
machine. Assuming stud shank failure from Eq. (1), thefailure load was
expected to be 1368 kN considering eight studs for each specimen. Ac-
cording to the Eurocode-4-1-1 design code[16], cyclic loads were ap-
plied to stabilize the specimen and break the bond between the steelsection and thedeck. The cyclic load was5%40% of the expected failure
loadwith loading speed of 0.82 kN/s. After cyclicloading, the specimens
were loaded constantly by increasing the displacement control at a
speed of 0.005 mm/s until failure.
The relative slips between the steel section and the slab deck are
measured using four LVDTs located 120 mm apart from the top ofeach slab, as shown inFig. 3. To ensure avoiding the separation of the
slab from the steel section, lateral supporting bars are installed at the
top and bottom of the specimen, and any possible separation is moni-
tored using two LVDTs located outward of each slabs, as shown in Fig. 4.
3. Test results and discussions
3.1. Stud tensile and double shear test on bare stud specimens
Table 3summarizes the measured tension and shear test results, in
which theresulting values for the shear test were divided by two to ob-
tain resisting force for one shear surface. The tensile yield and ultimate
strength of each of these steels exceeds the AWS D1.1-2000 [17]
requirements of 350 and 450 MPa, respectively. Fig. 5 shows the
strainstress curve obtained from the tension test. Yielding behavior
was clearly observed for the tensile test. On the other hand, the guillo-
tine test results do not show a clear yield or proportional limit, as
shown inFig. 6. The typical failure of a stud loaded in double shear is
shown inFig. 7.
The ratio of the measured shear strength to the measured tensile
strength is 0.80 and 0.82, and the ratio to the nominal tensile strength
(450 MPa) is 0.87 and 0.85, for the16 mm and 22 mmstuds, respective-
ly. This value is larger than that of 0.65 obtained by Anderson and
Meinheit[18]. The higher ratio appears attributable to the fact that the
xture holding stud for double shear does not fully restrain the stud
specimen, which eventually involves additional bending other than di-
rect shearing load. In reality, a shear studexperiences a combined action
of shearing and bending. It is difcult to estimate the exact contributionof the two different mechanical behaviors. To evaluate shearing resis-
tance only, the stud head should be fully restrained in the vertical as
well as the horizontal directions to eliminate the bending action.
3.2. Ultimate strength and initial stiffness of stud embedded in UHPC deck
Themost important dataobtained from the push-out test arethe ap-
plied ultimate load at failure. The resulting ultimate failure load (Pmax)
and relative slips are analyzed by the procedure given in the
Eurocode-4-1-1 design code [16], which denes the characteristic resis-
tance (PRk) as the minimum failure load is reduced by 10%. The slip ca-
pacity of a specimen (u) is taken as themaximum slip measured at the
characteristic load level. The characteristic slip capacity (uk) is takenas
Fig. 4.Push-out test setup and lateral supporting bars.
Table 3
Stud tension and Guillotine test result.
Stud
diameter
[mm]
Tension test Guillotine test
(per interface)
Yield
force
[kN]
Yield
stress
[MPa]
Ultimate
force [kN]
Ultimate
stress [MPa]
Ultimate
force [kN]
Ultimate
stress
[MPa]
16 77 384 97 484 78 390
22 141 372 177 466 145 380
0
100
200
300
400
500
0 0.02 0.04 0.06 0.08 0.1
S
tress[MPa]
Strain
16 mm
22mm
Fig. 5.Direct tension test result on bare stud specimens.
26 J.-S. Kim et al. / Journal of Constructional Steel Research 108 (2015) 2330
https://www.researchgate.net/publication/274274961_Design_Criteria_for_Headed_Stud_Groups_in_Shear_Part_1_-_Steel_Capacity_and_Back_Edge_Effects?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/274274961_Design_Criteria_for_Headed_Stud_Groups_in_Shear_Part_1_-_Steel_Capacity_and_Back_Edge_Effects?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/274274961_Design_Criteria_for_Headed_Stud_Groups_in_Shear_Part_1_-_Steel_Capacity_and_Back_Edge_Effects?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/274274961_Design_Criteria_for_Headed_Stud_Groups_in_Shear_Part_1_-_Steel_Capacity_and_Back_Edge_Effects?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==7/26/2019 gsgdgdgdagadgd
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the minimum test value ofu was reduced by 10%. Table 4 shows
detailed test results for each specimen.
Because the concrete failure mode never controls the shear connec-
torembeddedin UHPC, theultimate strength of studshearconnectors is
obtained asAscFuaccording to the AASHTO LRFD design code[14] if the
effect of the resistance factor is excluded.Fig. 8shows the curve of nor-
malized applied forces toAscFuand relative slip. Considering the ulti-
mate tensile strength, Fu, of the stud material (450 MPa) and the
shank diameter of the stud (22 mm) for UHPC-I, the tensile strength
of a UHPC-I specimen is expected to be at least 171 kN. For UHPC-II, -
III, and -IV specimens, the minimum tensile strength is expected to be
90 kN considering a stud diameter of 16 mm. The Eurocode-4 design
codes[15],given by Eq.(2), evaluate the ultimate strength to be 20%
smaller than that evaluated by the AASHTO LRFD design code [13]. In
Eq. (2), when excluding the effect of the partial factor, the expected ten-
sile strengths are 137 kN for Normal and UHPC-I and 72 kN for others.
The ratios between the measured stud characteristic shear strength
(PRk) from the push-out tests and measured ultimate tensile strength
(Pu_test) from the direct tension test and those expected from the
AASHTO LRFD[14] and Eurocode-4 [15]design codes are listed in
Table 5. The shear strength of the stud in the Normal specimen group
is almost identical to that from the design code Eq. (2)of Eurocode-4
[15]. From this observation, it can be said that the test setup used in
the experimental program is reasonable.
First, it should be noted that the measured ultimate strength of a
stud shear connector does not show signicant difference in all cases
but the Normal one. This suggests that the slabthickness does not affect
the strength of the stud shear connector. In particular, despite the
Eurocode-4 design code[15], Eq.(2)species reduced static strength
of the stud for a small aspect ratio; however, this is not the case for a
UHPC slab deck. The UHPC-II and -IV cases, which do not satisfy the
cover thickness requirement specied in the AASHTO LRFD designcode[14], did not show any splitting crack.
The measured static strengths of the stud shear connector embed-
ded in the UHPC are 2%13% higher than the nominal tensile strength
of the stud itself, and they correspond to the AASHTOLRFD designequa-
tion [14]. They are evaluated 27%42% more conservatively if the
Eurocode-4 design equation [15] is applied. Therefore, the shear
strength of stud shear connector in UHPC is adequate to be evaluated
in accordance with the AASHTO LRFD[14]rather than the Eurocode-4
[15]design code.
The initial stiffness of stud shear connectors is assumed innite ac-
cording to the strength design concept. In reality, they show some initial
slip in the early loading stage owing to surrounding concrete cracking
and stud deforming. The initial stiffness is calculated from the relative
slip between 10% and 40% of the ultimate load, as shown in Table 6.
The average stiffness of Normal specimens is 336 kN/mm for single
studs, and UHPC-I specimens show the highest stiffness of 762 kN/mm.
UHPC-III specimens have a stiffness of 736 kN/mm, which is comparable
to that of UHPC-I specimens. UHPC-II and UHPC-IV specimens have
slightly smaller stiffnesses (598 and 538 kN/mm, respectively) than
UHPC-I and UHPC-III.
Oehlers and Coughlan[19] proposed an equation for estimating ini-
tial shear stiffness from 116 push-out tests:
Ksi Pmax=d 0:160:0017f0
c
3
where the initial stud stiffness (Ksi) is obtained from the shear stud
strength (Pmax), diameter of stud (d), and concrete compressive
strength (fc).
0
100
200
300
400
500
0 2 4 6 8 10 12
Stress[MPa]
Displacement [mm]
16mm
22mm
Fig. 6.Guillotine double shear test result for bare stud specimens.
Fig. 7.Typical failure of stud after guillotine double shear test.
Table 4
Push-out test results for single stud.
Specimens Pmax[kN] PRk[kN] u[mm] uk[mm]
Normal A 158 130 15.68 9.80
B 148 13.56
C 145 10.89
UHPC-I A 198 174 7.66 5.16
B 193 5.73
C 212 7.18
UHPC-II A 123 103 4.98 3.62
B 120 4.02
C 114 4.21
UHPC-III A 105 92 4.84 4.36
B 103 5.93
C 111 5.64
UHPC-IV A 109 98 5.42 4.54
B 109 5.04
C 117 5.18
27J.-S. Kim et al. / Journal of Constructional Steel Research 108 (2015) 2330
https://www.researchgate.net/publication/256401392_The_shear_stiffness_of_stud_shear_connectors_in_composite_beams?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/256401392_The_shear_stiffness_of_stud_shear_connectors_in_composite_beams?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==7/26/2019 gsgdgdgdagadgd
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Applying Eq.(3)to the Normal specimen group provides an initialstiffness of 68 kN/mm, which is signicantly less than the test results.
However, Shim et al.[20]presented initial stiffness results of large di-
ameter (25 mm and 30 mm) studs from push-out tests, which varied
from about 200 to 400 kN/mm. It can be said that test results for the
Normal specimen group match those of Shim et al. [20]. The results in
this study indicate that a stud embedded in the UHPC provides at least
60% higher stiffness than that in conventional concrete. Based on the re-
sults for UHPC-II and UHPC-IV, the cover thicknessmay affect the initial
stud stiffness: a thicker cover generates higher stud stiffness.
3.3. Aspect ratio of stud
The aspect ratio is another important issue to be considered whenapplying stud shear connectors to a thin deck slab. The AASHTO LRFD
[14] and Eurocode-4[15]design codes require an aspect ratio of at
least four, although the latter allows an aspect ratio of three only if the
strength is reduced, as given in Eq. (2). A UHPC slab deck is advanta-
geous in that the deck slab can be made as thin as possible. Applying a
stud shear connector to a thin slab naturally reduces the stud height,
and the stud diameter should also be smaller to satisfy the aspect ratio
requirement, which requires a greater number of studs and therefore
increased construction time. Considering that the strength of the sur-
rounding concrete in the case of a UHPC deck is much stronger than
that in conventional applications, this study investigates the validity of
a smaller aspect ratio. Aspect ratios of 4.5, 4.1, 3.1, and 3.1 were tested
for each specimen groupUHPC-I to -IV.
The test results do not show any signi
cant difference with changesin theaspect ratio. Thestud shear connectorshowsobvious shearing be-
havior and not bending because of the higher stiffness and strength of
the surrounding concrete. Xu and Sugiura[21]showed that lower con-
crete strength might lead to relatively more obvious bending
deformation with shear deformation in the push direction. In Fig. 9,the fractured cross-section of the stud shows a clean-cut immediately
above the welding area, which means that the shearing behavior is pri-
marily responsible for stud fracture. Therefore, an aspect ratio as low as
3.1, as investigated in this test program, is allowable for the stud shear
connectors embedded in UHPC without a loss of strength.
3.4. Cover thickness on top of stud head
AASHTO LRFD[14]requires a minimum cover thickness of at least
50 mm (2 in.) over the stud head. This makes it difcult to realize a
thin UHPC slab deck, and it could be an overly conservative solution
considering the mechanical properties of UHPC. In this test program,
the cover of UHPC-II and -IV specimens is 35 and 25 mm, respectively.The resulting static strength of UHPC-II and -IV specimens is 12% and
7% higher than that of UHPC-III specimens. Although these specimens
show a ductility issue, the same is also observed in UHPC-III specimens,
whose cover is 50 mm. This ductility issue is therefore considered to be
independent of the cover thickness. The test results show that speci-
mens with shallow covers do not suffer any strength reduction, crack-
ing, and spalling of the cover as seen at the surface of the slab deck.
There is some reduction in the initial stiffness owing to the shallow
cover thickness; however, it remains much larger thanthat of a conven-
tional concrete deck. Therefore, the regulation of the minimum
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 1 2 3 4 5 6AppliedForce/Nominal
UltimateForce[P/Asc
Fu
]
Relative Slip [mm]
UHPC-I-B
UHPC-II-C
UHPC-III-B
UHPC-IV-B
Fig. 8.Curve of normalized applied force with respect to relative slip.
Table 5
Test results compared to shear strength from the direct tension test and design codes.
Specimens PRk/Pu_test PRk/AASHTO [AscFu] PRk/Eurocode [0.8AscFu]
Normal 0.76 0.85 0.99
UHPC-I 1.02 1.06 1.32
UHPC-II 1.10 1.18 1.48
UHPC-III 0.98 1.06 1.32
UHPC-IV 1.03 1.11 1.39
Table 6
Stiffness of a stud shear connector.
Specimens Stiffness [kN/mm] Average stiffnes s [kN/mm]
Normal A 309 336
B 379
C 322
UHPC-I A 754 762
B 714
C 816
UHPC-II A 532 598
B 571
C 689
UHPC-III A 1088 736
B 535
C 585
UHPC-IV A 340 538
B 487
C 788
28 J.-S. Kim et al. / Journal of Constructional Steel Research 108 (2015) 2330
https://www.researchgate.net/publication/223502114_Static_behavior_of_large_stud_shear_connectors?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/223502114_Static_behavior_of_large_stud_shear_connectors?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/271635568_FEM_analysis_on_failure_development_of_group_studs_shear_connector_under_effects_of_concrete_strength_and_stud_dimension?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/223502114_Static_behavior_of_large_stud_shear_connectors?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/223502114_Static_behavior_of_large_stud_shear_connectors?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==https://www.researchgate.net/publication/271635568_FEM_analysis_on_failure_development_of_group_studs_shear_connector_under_effects_of_concrete_strength_and_stud_dimension?el=1_x_8&enrichId=rgreq-dea6df31162844738557512780347604&enrichSource=Y292ZXJQYWdlOzI3MzM5OTM5NDtBUzozMTYxNjE5NDA0OTIyODlAMTQ1MjM5MDI4ODQzMA==7/26/2019 gsgdgdgdagadgd
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thickness of the cover over the stud head can be relaxed to at least
25 mm for a UHPC slab deck.
3.5. Ductility of stud
Twostrategies have been used forthe static designof studshearcon-
nectors: elastic and strength designs. The elastic design results in a var-
iable pitch, which is narrower for the high shear zone usually at the end
of beams and wider for the low shear zone usually at the center of the
beam. On the other hand, the strength design concept assumes that all
studs maintain their ultimate strength until failure at the ultimate
state of the entire structure, which results in a constant pitch regardlessof the longitudinal location of the beam. Nowadays, most design codes
are based on the strength design concept. However, the ductility de-
mand should always be guaranteed to ensure the strength design con-
cept. Although the ductility demand can be variable for each structure,
the Eurocode-4 design code[16]requires the characteristic relative
slip (uk) to be at least 6 mm from the push-out test as a criterion for
the ductility demand.
The test results of this study showed that most test specimens, ex-
cept for UHPC-I-A and -C, had unsatisfactory ductility, as listed in
Table 4. Hegger et al. [22] also reported the same conclusions, in
which the characteristic relative slip was 5.7 mm for a shear connector
embedded in high-strength concrete. Therefore, another measure is re-
quired to enhance the ductility of a stud shear connector embedded in a
UHPC. Otherwise, exact composite analysis can provide a more preciseductility demand that may be less than 6 mm for a specic structure.
In such a case, a stud shear connector can be used for a UHPC slab
deck with a constant pitch.
In order to overcome the ductility issue, stud shear connectors in
UHPC can be designed based on the elastic theory instead of the plastic.
The elastic theory, which results in variable stud pitches, provides nar-
row spacing near the support for resisting large shear forces and
wider at the mid-span for smaller shear forces. In contrast, the plastic
theory, which results in a constant pitch across the entire span, is
based on the ductile behavior of the stud. The experiment program in
this study showed that shear studs in UHPC do not meet the ductility
demand, which does not allow the application of the plastic theory.
Therefore, unless the ductility problem is resolved, stud shear connec-
tors in a UHPC should not be designed using the plastic theory with
constant longitudinal pitch; instead, the elastic theory and the resulting
variable longitudinal pitches should be applied.
4. Conclusions
This study investigates the structural performance and validity of
stud shear connectors for a thin UHPC slab deck. The following conclu-
sions can be derived from the test program:
1) The static strength of stud shear connectors embedded in a UHPC is
always controlled by steel failure. This indicates that strength is af-
fected only by the stud diameter and the ultimate strength of the
stud material and not by the surrounding concrete strength if
existing design codes are applied.
2) The test program proves that the actual static strength of shear con-
nectors embedded in a UHPC is greater than that obtained by the
AASHTO LRFD design calculation [14] bya margin of2%13%. There-
fore, the AASHTO LFRD design code [14]can be used to evaluate the
ultimate strength of a stud shear connector in a UHPC. A comparison
withthe Eurocode-4 design code [15] provides a marginof 27%42%,
which may lead to a relatively conservative result.
3) Theaspect ratio of the stud height-to-diameter is limited to at least 4
in existing design codes. The test program in this study proves that
the aspect ratio can be as low as 3.1 because it does not have muchimpact on the structural behavior or performance of stud shear con-
nectors.
4) The cover thickness over the stud head is limited to 50 mm in the
AASHTO LRFD design code[14]. The test program proves that a
cover thickness even as low as 25 mm does not lead to any cracking
or spalling in the UHPC slab deck or reduction in the static strength
of a stud shear connector.
5) According to the Eurocode-4 design code[16], the stud shear con-
nectors should provide a characteristic relative slip of at least
6 mm to guarantee the ductile behavior of the stud. The test result
shows that the stud shear connectors embedded in a UHPC provide
characteristic relative slips of 3.85.3 mm that do not satisfy the re-
quired ductility demand of 6 mm. Therefore, another measure
should be used to resolve this ductility issue in order to use studshear connectors for a thin UHPC slab. Otherwise, an elastic design
should be applied for stud shear connectors for a UHPC deck,
resulting in a variable stud pitch rather than a constant pitch.
6) A UHPC slab deck for composite construction can be as thin as
75 mm using stud shear connectors with a diameter of 16 mm and
height of 50 mm even at the deck girder joint region.
Acknowledgements
This research was supported by a grant (13SCIPA02) from the Smart
Civil Infrastructure Research Program funded by the Ministry of Land,
Infrastructure and Transport (MOLIT) of the Korean Government and
Korea Agency for Infrastructure Technology Advancement (KAIA).
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