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International RILEM Conference on Materials, Systems and Structures in Civil Engineering
Conference segment on Service Life of Cement-Based Materials and Structures
22-24 August 2016, Technical University of Denmark, Lyngby, Denmark
These formulae can be used to determine the impact force factor (k
r
), which is based on the
return periods and consequences of changing operations, such as speeds or wheel/rail defects
[15].
Limit states concept is a more logical entity for use as the design and analysis approach for
prestressed concrete sleepers, in a similar manner of Australian Standard AS3600 [3]. It
considers both strength and serviceability. Over time, the concrete sleepers experience diverse
traffic loads from operational activities, and may have damage and cracks, also resulting in an
additional time-dependent loss in prestress level [17-19]. However, previous studies have not
thoroughly investigated the deterioration and residual strength of concrete sleepers [20]. This
study thus investigates the remaining life of railway prestressed concrete sleepers after a
period of service life through a variety of structural testing programs. It experimentally
investigates the remaining service life of railway prestressed concrete sleepers considering
limit states design concept. The ageing railway concrete sleepers from various operational
environments have been investigated. This paper presents the nominal reserve capacity of the
old prestressed concrete sleepers from previous experimental investigations aimed at
proposing a rational method for evaluating the remaining life of concrete sleepers.
2. Limit states of railway concrete sleepers
According to Leong [15], Australian railway organisations would condemn a sleeper when its
ability to hold top of line or gauge is lost. It is also found that this practice is actually adopted
in most of railway industries worldwide. Those two failure conditions can be reached by the
following actions:
abrasion at the bottom of the sleeper causing loss of top
abrasion at the rail seat location causing a loss of top
severe cracks at the rail seat causing the ‘anchor’ of the fastening system to move and
spread the gauge
severe cracks at the midspan of the sleeper causing the sleeper to ‘flex’ and spread the gauge
severe degradation of the concrete sleeper due to alkali aggregate reaction or some similar
degradation of the concrete material.
Since abrasion and alkali aggregate reaction are not structural actions causing failure
conditions, only severe cracking leading to sleeper’s inability to hold top of line and gauge
will be considered as the failure criteria defining a limit state related to the operations of a
railway system. A challenge in the development of a limit states design concept for
prestressed concrete sleepers is the acceptance levels of the structural performances under
design load conditions. Infinite fatigue life of sleepers cannot be retained after allowing
cracks under impact loads. Therefore, the general principles for reliability for structures, and
indicates that limit states can be divided into the following two categories:
1.
ultimate limit states, which correspond to the maximum load-carrying capacity or, in
some cases, to the maximum applicable strain or deformation;
2.
serviceability limit state, which concerns the normal use and service life (fatigue and
deformation).
Leong [15] suggested three limiting conditions would be relevant to the design of railway
concrete sleeper:
139
International RILEM Conference on Materials, Systems and Structures in Civil Engineering
Conference segment on Service Life of Cement-Based Materials and Structures
22-24 August 2016, Technical University of Denmark, Lyngby, Denmark
Ultimate Limit State
A single once-off event such as a severe wheel flat that generates an impulsive load capable
of failing a single concrete sleeper. Failure under such a severe event would fit within failure
definitions causing severe cracking at the rail seat or at the midspan. The single once-off
event will be based on the probabilistic analysis of train load spectrums recorded over several
years or for a suitable period (generally at least a year as to obtain the good representative of
track forces over its lifetime under various train/track conditions). The load magnitude of the
ultimate event for ultimate limit state design of sleepers depends on the significance or
importance level of the railway track. It should be noted that in some cases when the load
frequency distributions can only be obtained from the long-term track force measurements,
the ultimate design loads are usually taken to be the 95 percent fractiles, and hence have a 5
percent probability of being exceeded [19].
Damageability (or Fatigue) Limit State
A time-dependent limit state where a single concrete sleeper accumulates damage
progressively over a period of years to a point where it is considered to have reached failure.
Such failure could come about from excessive accumulated abrasion or from cracking having
grown progressively more severe under repeated loading impact forces over its lifetime. In
sleeper design perspective, the lifetime can be specified by the design service life of the
sleepers (e.g. 30, 50, or 100 years) or from the expected train/track tonnage (or how many
load cycles expected for the track infrastructure, e.g. 10, 50, or 100 million cycles). The
loading ranges for the fatigue life prediction vary on the load frequency distribution as shown
in Figure 2 (the load frequency data recorded for a year). Using the data in Figure 2 for
fatigue life prediction of sleepers is applicable whereas the actual life must be longer than
design life. Alternatively, if the sleeper is to be designed for 50 year service life under 28ton
axle load, the loading range for the fatigue life consideration can be obtained from Equation 1
plus the wheel load of 140kN, which is up to 540 kN [15]. Using a statistical analysis, the
number of axles or cycles of each loading range can be achieved for the cumulative fatigue
damage. Based on previous example, it shows likelihood that there is only 1 time that the
sleeper experiences the dynamic load of 540 kN over the sleeper design life of 50 years. Once
the numbers of cycle in each loading range (e.g. 105-115 kN, 535-545 kN range) are
obtained, the cumulative fatigue damage can be calculated using the endurance limits of
materials or generic fatigue design codes (e.g. European Code, CEB Model code, etc.). Such
damage should not result in any failure condition described earlier.
Serviceability Limit State
This limit state defines a condition where sleeper failure is beginning to impose some
restrictions or tolerances on the operational capacity of the track, for example, prestressing
losses, sleeper deformations (shortening and camber), track stiffness, etc. The failure of a
single sleeper (in track system) is rarely if ever a cause of a speed restriction or a line closure.
However, when there is failure of a cluster of sleepers, an operational restriction is usually
applied until the problem is rectified. Recently, this serviceability limit state has extensively
applied to the methodology for retrofit and replacement of sleepers made of different material
properties in the existing aged track systems. For example, the deteriorated timber sleeper
tracks have been replaced by new concrete/steel sleepers through a suitable spacing
arrangement as to provide a similar track modulus or stiffness to the existing one. This