Paper No.01-_________
PERFORMANCE OF W-BEAM SPLICES
by
Malcolm H. Ray
Associate Professor
Worcester Polytechnic Institute
Chuck A. Plaxico
Associate Research Engineer
Worcester Polytechnic Institute
Klas Engstrand
Graduate Research Assistant
Worcester Polytechnic Institute
Corresponding Author:
Malcolm H. Ray
Department of Civil and Environmental Engineering
Worcester Polytechnic Institute
100 Institute Road
Worcester, MA 01609-2280
508-831-5340
508-831-5808 (Fax)
[email protected]
Word count: 5143
To be presented at the:
80th Annual Meeting of the
Transportation Research Board
Washington, D.C.
January 2001
Worcester Polytechnic Institute
Department of Civil and Environmental Engineering
100 Institute Road
Worcester, Massachusetts 01609-2280
PERFORMANCE OF W-BEAM SPLICES
Malcolm H. Ray
Chuck A. Plaxico
Klas Engstrand
ABSTRACT
Structural failure of post-and-beam w-beam guardrails during impact is sometimes due to the rupture of the w-beam
rail where two sections are spliced together with bolts. This paper summarizes a study of the mechanics of failure of
the splice connection. The causes of rupture are identified and a design alternative is formulated that will reduce the
likelihood of rupture of the splice connection. The tensile forces in the w-beam rail and the mode of deformation of
the splice connection during impact were critical factors considered in the study. The results of full-scale crash
tests, laboratory tests and finite element analysis indicate that relocating splices to mid-span locations would greatly
reduce the chance of observing a rupture of the guardrail in full-scale crash tests as well as real-world collisions.
KEYWORD
Roadside safety, guardrails, splices, splice rupture, Report 350, crash testing, simulation.
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INTRODUCTION
Splices in post-and-beam w-beam guardrails where two w-beam elements are connected are sometimes the
point of structural failure during impact. W-beam guardrails are connected by overlapping the ends and clamping
them together using eight 16-mm diameter bolts and nuts. The splice connections in most guardrail and guardrail
terminal systems are located at the guardrail posts so the loading experienced by the splice is a combination of the
axial guardrail tension, torsion in the guardrail section about its longitudinal axial as well as lateral bending due to
displacements of the posts. The purpose of this paper is to explore the mechanics of the W-beam splice connection
in typical collisions. The behavior of splices is examined using laboratory component tests, finite element analysis
and full-scale crash tests. The cause of typical splice failures is determined and a simple design change to reduce
the likelihood such failures is recommended. While splice failures occasionally occur on all types of w-beam
guardrail systems, the weak-post w-beam guardrail system is the specific focus of this investigation. Weak-post
systems generally experience larger rail deflections in an impact so the axial force in the guardrail and the bending
stresses in the splice should be maximized for this type of system. While the weak-post w-beam guardrail is the
focus, the results of this study can be applied to any w-beam guardrail system since the same type of behavior is
believed to occur is all such similar splice connections.
LITERATURE REVIEW
Guardrail ruptures occurring at a splice have been observed for a wide variety of w-beam barrier types including
strong-post w-beam guardrails, weak-post w-beam guardrails, w-beam guardrail terminals and w-beam transitions.
(1)(2)(3)(4) The recent crash testing literature was searched to find examples of guardrail rupture and splice failure.
Unfortunately, when a guardrail ruptures during a full-scale crash test it is often difficult to determine the cause.
Such failures are usually not well documented in the test report since they were unexpected. The guardrail tension,
for example, is rarely known since it is not a typical test procedure to measure the rail tension. While there are
probably other examples of guardrail rupture, the cases discussed below are believed to be reasonably typical of
splice failure in general.
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Kilareksi et al reported the results of a fullscale crash test involving a 2000-kg pickup truck
striking a weak-post w-beam guardrail at 100 km/hr
and 25 degrees.(1) The guardrail ruptured at a splice
location downstream of the vehicle prior to the vehicle
being redirected. The maximum dynamic deflection
just prior to the guardrail rupture was 1.5m.
Buth et al reported the results of a full-scale
crash test involving a strong-post w-beam guardrail
with larger than standard blockout.(2) A 2000-kg
pickup truck struck the barrier at 100 km//hr and 25
degrees. The rupture occurred downstream of the
vehicle which penetrated the guardrail system. A
photograph of the rupture guardrail is shown in the top
portion of Figure 1. Coupons cut from the guardrail
were used to perform standard ASTM A370 tensile
tests to determine if the material satisfied the
requirements of AASHTO M-180.(5) The material
exceeded all the requirements for M-180 guardrail
material. Fortunately, strain gauges had been included
on the up and downstream ends of the guardrail so the
maximum tension prior to the rupture was known to be
130 kN.
Mak and Menges report the results of a fullscale test involving a 2000-kg passenger car striking a
Figure 1.
Mini-MELT (i.e., a MELT terminal modified for use
Typical splice failures from full-scale
crash tests.(2)(3)(4)
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with a weak-post w-beam guardrail) at 100 km/hr and 25 degrees.(3) During the impact the guardrail ruptured
downstream of the vehicle allowing the vehicle to penetrate the system. The maximum dynamic deflection just
before the rupture was 0.30 m. The ruptured guardrail is shown in the middle portion of Figure 1.
Lastly, Mak et al reported the results of a full-scale test of the MELT-2 guardrail terminal.(4) In a test
involving an 820-kg small car striking the second post at 100 km/hr and 15 degree, the w-beam guardrail ruptured at
a downstream splice. The dynamic deflection of the system near the rupture location was 0.53 m. The ruptured
guardrail is shown in the lower portion of Figure 1.
These examples illustrate several interesting points. First, whenever material from a ruptured guardrail has
been subjected to tensile tests, the tests have confirmed that the material satisfies the minimum requirements of
AASHTO M-180. This indicates that guardrail rupture is not usually caused by defective or substandard material.
Second, in every case where it could be determined, the rupture occurred downstream of the vehicle. The
rupture usually occurs in front of, rather than behind the vehicle as might be expected. Also, in the one case where
the guardrail was instrumented with upstream strain gauges, the rail tension was no more the 130 kN, a relatively
modest guardrail tension considering the yield strength of the w-beam section is 356 kN. Similarly, the dynamic
deflections when noted were usually modest and failures have been observed with both large and small vehicles.
The moderate rail tension, small lateral deflections and location of the failures suggest that the ruptures are not
caused by exceeding the tensile capacity of the rail.
Third, as shown by the photographs in Figure 1, the tear always passes through at least one splice hole and
usually the bottom, downstream hole is located on the tear-line. Often, as shown in the top and bottom portions of
Figure 1, the tear line starts at the bottom downstream hole and progresses at an angle away from the downstream
row of splice holes.
The examples found in the literature suggest that splice failures cannot be adequately explained by material
deficiencies or axial rail capacity. The cause of these failures appear to be much more complex and a better
understanding of the splice performance is necessary.
UNIAXIAL SPLICE PERFORMANCE
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Axial tension is one possible mechanism
Table 1. Maximum rail tension and dynamic deflection in
tests with the weak-post w-beam guardrail.
for failure of the guardrail splice. A recent series
of full-scale crash tests of the weak-post w-beam
Test
guardrail is summarized in Table 1.(6)(7)(8)(9)
473750-1
473750-2
473750-3
473750-4
The largest rail tension was 326 kN under test 3-11
NCHRP
Test
Condition
3-11
3-11
3-11
3-10
Maximum
Tension
(kN)
275
326
231
112
Maximum
Deflection
(m)
1.60
1.86
2.12
1.03
Ref.
(6)
(7)
(8)
(9)
conditions (i.e., a 2000-kg pickup truck striking
the barrier at 100 km/hr and 25 degrees). Since a weak-post guardrail experiences large lateral deflections, this
value should represent a reasonable upper bound for the tension experienced by guardrail in the standard test 3-11
conditions.
A series of laboratory experiments were performed to determine the axial capacity of guardrail splices and
the typical failure mechanisms. Uniaxial tension tests of full-scale splice sections were performed using the 1,780
kN load tester shown in Figure 2 in WPI’s Structural Mechanics Impact Laboratory. Special grips, shown in the
bottom left portion of Figure 2, were fabricated and attached to 610-mm long sections of guardrail. Two sections
of guardrail were spliced together using the standard splice holes, bolts and nuts. The splice was pulled axially by
the load tester until the splice could no longer support load.
The results of the three
axial tests are shown in Table 2.
The maximum axial force was
always at least 400
kN and the splice displacement was
always less than 25 mm. The
Table 2. Quasi-static uniaxial tension test results for a guardrail splice.
Test
Maximum
Maximum
Failure
Axial Force Displacement Mechanism
(kN)
(mm)
9912201
438
¶
Bolt heads pulled through holes
0001171
408
22.9
Bolt heads pulled through holes
0003221
409
24.1
Bolt heads pulled through holes
¶ Test interrupted due to grip fixture failure. Fixture was repaired and
strengthened and the test resumed. Subsequent tests were performed
using the stronger grips.
failure mechanism in all three
cases, shown in the right portion of Figure 2, was that the bolts rotated and the head of the bolt pulled through the
splice slot. While the guardrail material did tear in the longitudinal direction, there was no evidence of a tear in the
lateral direction.
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Figure 2.
Uniaxial tension test setup and typical splice failure mode.
The failure mechanisms shown for the laboratory tests in Figure 2 are of a very different nature than those
observed in full-scale crash tests illustrated in Figure 1. To the authors’s knowledge, a failure mechanism like that
observed in the laboratory tests has never been observed in a full-scale crash test. The axial load required to
produce failure in the uniaxial laboratory test was always above 400 kN yet the maximum axial load in weak-post
w-beam guardrail collisions was always less than 326 kN. These laboratory tests indicate that guardrail ruptures are
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not caused by exceeding the axial capacity of the guardrail cross-section. In fact, the guardrail only uses 80 percent
of its tensile capacity in a typical weak-post w-beam guardrail test with a 2000-kg pickup truck. The cause of splice
failures is, therefore, unlikely to be related to the axial capacity of the guardrail.
MULTI-AXIAL SPLICE PERFORMANCE
Finite Element Model of the Splice
The loads and deformations in the splice
caused during full-scale impacts are very
complex and it was not possible to
conduct laboratory tests that would
replicate such behavior. In order to
investigate the performance of the splice
connection under loading conditions
similar to those in a crash event, the
finite element software LS-DYNA was
used to analyze a submodel of the
weak-post w-beam guardrail consisting
of a single guardrail post and two wFigure 3.
beam rails spliced together with eight
Components of the finite element model of a weak-post
w-beam guardrail splice.
bolts and nuts, as shown in Figure 3.
The preprocessor Truegrid (version 1.4.0) was used to generate the various constituents of the finite element model
of the splice connection and guardrail post, including the geometry and mesh of all the parts, as well as the springs,
dampers, load curves and material definitions of the model.(10) The geometry of the w-beam was created in
Truegrid using the dimensions specified in the AASHTO-AGC-ARTBA Highway Barrier Hardware Guide.(11)
The mesh of the w-beam consisted of 50 elements through the cross-section, which made it easy to accurately model
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the shape of the w-beam. To facilitate the modeling process, the region around the bolt holes in the w-beam rail
were modeled separately. This made it possible to generate a more refined mesh around the edge of the holes
without adversely affecting the density of the mesh throughout the rest of the w-beam model and unnecessarily
increasing the required run time. It was necessary to use a “fine” mesh around the splice holes in order to obtain
accurate stress and strain measurements (i.e., magnitudes and distributions) in these critical regions of the model.
A mesh sensitivity study was conducted to determine the optimum mesh density for modeling the bolt holes in the
splice. LS-DYNA is a nonlinear, explicit finite element program, thus the time-step used in the analysis is affected
by the size of the element (i.e., smaller element requires a smaller time-step), thus a mesh too fine would be very
computationally demanding and would make the model impractical to use. The mesh of the bolt holes that was used
in the study is shown in Figure 3. The bolts and nuts in the splice connection were modeled as rigid materials since
the deformations of these components are very small compared to the deformations of the bolt holes in the w-beam
on which the bolts bear during loading. Although material properties of the bolts and nuts were modeled crudely,
the geometry of these components were very important to the model since they affect how the load is transferred
through the splice connection. The geometry of the bolts were modeled precisely according to the dimensions
specified in the AASHTO-AGC-ARTBA Highway Barrier Hardware Guide.(11) Figure 3 shows the model of the
bolt and nut assembly. The nut was clamped onto the bolt using spring and dashpot elements, thereby clamping the
two w-beam sections together.
All the deformable components of the guardrail model are steel and were modeled using a piecewise linear stressstrain curve with isotropic plasticity (material type 24 in LS-DYNA). The material properties of the w-beam and
guardrail post used in the simulation were obtained from a study performed by Wright and Ray.(12) The material
properties for the components correspond to AASHTO M-180 and AASHTO M-183 steel, respectively.(5) Strainrate effects were not included in the analysis and no failure conditions were specified for the elements in the model.
The failure mechanism in LS-DYNA material model 24 uses the effective plastic strain as failure condition. When
the effective plastic strain reaches a certain value the deviatoric stresses in the element are set to zero, effectively
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removing the element from the model. This failure mechanism is mesh sensitive, therefore, a specific value of the
maximum effective plastic strain has to be set for each mesh.
The 4-node Belytschko-Tsay element in LS-DYNA, which is a very simple, computationally cost-effective element,
was used to model the guardrail post and much of the w-beam. The 4-node Hughes-Liu element was used to model
the region around the bolt holes due to the large deformations that occur in these regions. Five integration points
were used through the thickness of all the thin shell elements to obtain a more accurate stress distribution through
the thickness of the elements. The model consisted of 44,000 shell elements making up the w-beam and post and
18,000 solid elements making up the bolts and nuts. The time-step required for analysis was 0.8 microseconds as
was controlled by elements near the edge of the bolt holes.
In a related study, a finite element model of the G2 guardrail was developed and used to simulate a full-scale crash
test that was conducted by the Texas Transportation Institute.(13) The splice connections in the full-scale simulation
were not modeled in detail due to exorbitant computational requirements of such an analysis, rather, they were
modeled using nonlinear springs that simply clamp the w-beam sections together and provide limited slip of the
connections. The w-beam was attached to the post using the nodal rigid body spot weld option in LS-DYNA with a
failure condition set to fail at a tensile load of 21 kN corresponding to the average failure load of the 7.94 mm
diameter A307 bolt connection used in a standard G2 post-rail connection.(13)(14) That model produced results that
closely matched those from the full-scale test until the point where the guardrail ruptured in the test.
Since the displacements and loads of the w-beam in the full-scale simulation were similar to those of the full-scale
test, the displacement-time history of the w-beam cross-section at specific locations up-stream and down-stream of
the splice connection that failed was used as boundary conditions in the submodel. The displacement-time histories
were applied directly to the ends of the w-beam in the submodel analysis in order to simulate realistic loading
conditions and, thereby, obtain realistic behavior in the splice connection. The full-scale simulation from which the
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loads were collected and the methodology of how these loads were applied to this sub-model, as well as the material
properties and post-ground interaction are discussed in detail elsewhere.(13)
Results of the Submodel Analysis
The rail displaced longitudinally upstream relative to the study section due to large lateral deflections in the impact
event. The post was twisted as it bent back allowing the sharp edge of the twisted post to come in contact with the
back layer of W-beam, as shown in figure 4. When the post-rail connection failed the w-beam started to slide up
against the edge of the post flange and eventually pulled over the top of the post. As the rail is being bent around
the post, stress concentrations develop on the back layer of w-beam around the column of bolts on the down-stream
side of the splice connection (figure 4). The stresses in the front layer of W-beam, however, were much lower than
those in the back layer and showed little indication of a potential for rupture, as shown in figure 5. The high
stresses in the back layer were relieved by flattening out the W-beam at the stress concentration. A plastic hinge was
developed at the cross-section through the four right splice bolts and the W-beam was somewhat folded around the
post at this location.
The plastic hinge is clearly visible in figure 4 which shows the effective plastic strain in the back layer of the
guardrail. The sharp edge of the post flange is pressed against the back layer of w-beam at the lower edge of the rail
where the effective plastic strain is considerably high. It is probable that a tear would be initiated at this point in a
crash event. A plastic hinge always follows a path through the highest stresses and strains as it propagates through
material. Based on that fact, the most probable path for a tear to propagate through the cross-section of the back
layer of W-beam was predicted from the finite element analysis and is sketched in figure 4. The tear is most likely
to follow a path close to, or through, the four splice holes on the down-stream side of the splice connection in the
back layer of w-beam.
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Figure 4.
Figure 5.
Effective plastic strains in the back layer of w-beam in a guardrail
splice showing the formation of a plastic hinge (front layer of wbeam is transparent).
Von Mises stress contour plot
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A simple yet very effective means of minimizing the chance of a guardrail rupture is to relocate the splice to the
mid-span of the guardrail. In a related study finite element analysis was used to verify that relocating the splice to
mid-span between the posts would result in much less complicated stresses and strains in the splice connection and
would greatly reduced the likelihood of splice rupture.(13)(14) This design alternative was implemented in a
modified G2 guardrail system for the Pennsylvania Department of Transportation. Full-scale crash tests were
conducted on the system under NCHRP Report 350 test level 3 conditions. The splice connection performed well
and the system passed all safety and structural adequacy requirements of Report 350.(8)(9)
CONCLUSIONS
W-beam guardrail splice failures are usually caused by the complex multi-axial state of strain experienced
by the splice when it is located near a guardrail post. The splice experiences axial tension resulting from the
interaction with the vehicle as well as torsion and bending strains caused by the post. When subjected to these
multidirectional loads, stress concentrations develop around the bolt holes in the back layer of w-beam in the splice
connection and this often results in a small fracture or tear in those locations. Once a tear is initiated, the tension in
the rail may cause the tear to propagate through the whole w-beam section causing the guardrail to rupture
completely.
A simple yet very effective means of minimizing the chance of a guardrail rupture is to relocate the splice
to the mid-span of the guardrail. When the splice is located at the mid-span, it will experience much less
complicated stresses and strains and will be unlikely to rupture.
REFERENCES
1.
KILARESKI, W. P., M. El-Gindy, B. D. St. John and B. Peacheux, “Type 2 Weak-Post Guardrail
Testing,” Pennsylvania Transportation Institute, Pennsylvania State University, State College, PA
(1999).
2.
BUTH, E. C., R. A. Zimmer and W. L. Menges, “Testing and Evaluation of a Modified G4(1S)
Guardrail with W150x17.0 Steel Blockouts,” Test Report No. 405421-2, Texas Transportation
Institute, Texas A&M University, College Station, TX (1999).
3.
MAK, K. K., R. P. Bligh, W. L. Menges, “Testing and Evaluation of the MELT-2 Terminal,”
Texas Transportation Institute, Texas A&M University, College Station, TX (1996).
Ray et al
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4.
MAK, K. K. and W. L. Menges, “Testing of State Roadside Safety Systems Volume X: Appendix
I – Crash Testing and Evaluation of a Mini-Melt Terminal for a W-Beam, Weak-Post (G2)
Guardrail System,” Texas Transportation Institute, Texas A&M University, College Station, TX
(1996).
5.
AASHTO, “Corrugated Sheet Steel Beams for Highway Guardrails: M-180,” In Standard
Specifications for Transportation Materials and Methods of Sampling and Testing, American
Association of State Highway and Transportation Officials, Washington, D.C. (1990).
6.
BUTH, C. E., W. L. Menges and S. K. Schoeneman, “NCHRP Report 350 Test 3-11 on the
Modified PennDOT Type 2 Guide Rail,” Texas Transportation Institute, Texas A&M University,
College Station, TX (January, 2000).
7.
BUTH, C. E., W. L. Menges and S. K. Schoeneman, “NCHRP Report 350 Test 3-11 on the
Modified PennDOT Type 2 Guide Rail -- Test 2,” Texas Transportation Institute, Texas A&M
University, College Station, TX (February, 2000).
8.
BUTH, C. E., W. L. Menges and S. K. Schoeneman, “NCHRP Report 350 Test 3-11 on the
Modified PennDOT Type 3 Guide Rail -- Test 3,” Texas Transportation Institute, Texas A&M
University, College Station, TX (June, 2000).
9.
BUTH, C. E., W. L. Menges and S. K. Schoeneman, “NCHRP Report 350 Test 3-11 on the
Modified PennDOT Type 2 Guide Rail -- Test 4,” Texas Transportation Institute, Texas A&M
University, College Station, TX (July, 2000).
10.
XYZ, TrueGrid User’s Manual, XYZ Scientific, Livermore, CA (1998)
11.
AASHTO-ARTBA-AGC, “A Guide to Standardized Highway Barrier Hardware,” American
Association of State Highway and Transportation Officials, Washington, D.C. (1995).
12.
WRIGHT, A. E. and M. H. Ray, “Characterizing Guardrail Steel for LS-DYNA3D Simulations,”
Transportation Research Record 1647, Transportation Research Board, Washington, D.C. (1996).
13.
ENGSTRAND, K.E., Improvements to the Weak-Post W-Beam Guardrail, Master’s of Science
Thesis, Worcester Polytechnic Institute, Worcester, MA (2000).
14.
RAY, M.H, Engstrand, K.E., Plaxico, C.A. and McGinnis, R.G., “Improvements to the WeakPost W-Beam Guardrail,” Transportation Research Board Record (In Review), Transportation
Research Board, Washington, D.C. (2001).
ACKNOWLEDGMENTS
This research was funded and administered by the Pennsylvania Department of Transportation with added support
from Connecticut, Virginia, North Carolina and New York. Additional funding was provided by the Federal
Highway Administration through its Center of Excellence in Dyna3D Analysis.
The authors would also like to
thank the people involved with performing the crash tests at Texas Transportation Institute. In particular Ms.
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Wanda Menges and Mr. Gene Buth kindly provided crash test reports, photographs and other data that were used in
this report.
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