Uncertainties in an
engineering system can be mainly attributed to ambiguity and vagueness in
defining the variables and parameters of the system and their relations. This
gives rise to problems in structural reliability analysis which can endanger
structural safety.
Structural safety and
structural reliability are the most important aspects that have to be taken
into consideration when any engineer undertakes the design of a structure. The problem is all
the more aggravated in the field of civil engineering because of the uncertain
nature of the materials used in building construction.
Materials like sand and aggregates are natural materials which vary widely in
their origin, and hence exhibit widely different physical parameters of size
and strength that are necessary for determining the strength of a structure.
Other materials like cement and reinforcing bars are made of materials whose
strengths are more correctly known and reliable, but in any design the final
strength acceptable can come from the weakest parts of the materials used in
any combination. This uncertainty makes it all the more imperative that the
structural safety and structural reliability of a structure be correctly
assessed. Buildings that use metals for their structural requirements are
easier to design for safety and reliability because of the very determinate
nature of the materials that are used. Factors of safety in such structures are
generally much lower as such structures are assessed to be more reliable.
It is necessary that the
capacity of a structure to carry loads that are likely to be imposed on it are
determined to a fair degree of accuracy. This will ensure that the structure
remains safe during its lifetime and use. While superimposed loads are normally
based on acceptable standards that have been established from observed usage,
some structures may have to cater to unexpected loads due to misuse, natural
conditions like snow, hurricanes, and earthquakes. Design factors do take into
consideration snow, wind, and earthquakes, based on standard observations or
statistics collected in any particular area. But Nature is unpredictable and
can cause snowstorms, wind speeds, or earthquakes that are far in excess of
those observed up to a particular date. This does however become a statistic
for future designers to contend with, but the present structure then has to
rely on the factor of safety that the designer of the structure has considered.
When the factor of safety is
considered as a ratio of the absolute strength or structural capacity to the
load that is actually applied, this will indicate the reliability of that
particular design. Most countries have imposed their own standards for factor
of safety and these are enshrined in laws, standards, and specifications that
are derived by their own institutions. This is however a minimum that has to be
included in the design and is no real indication of the reliability, which is
more concerned with absolute capacity to actual load ratios. Designs where the
safety or reliability factor is the same as the design safety factor, as
required by standards or laws laid down, will be economical designs. Structures
where the reliability factor is much higher than the design safety factor would
be referred to as being over engineered and would probably be structures that
are very heavy and costlier.
Using the factor of safety in
design to ensure structural safety and structural reliability does not,
however, guarantee the safety of a structure. This safety can only come about
when the standards of supervision of construction and quality and strength of
materials used are of the required standards assumed in the design. The factor
of safety can also get compromised when maintenance is lax and the structure is
allowed to deteriorate without the proper protection.
Structural reliability is
defined as the ability of a structure to perform its functions as envisaged by
the designer. It also indicates the resistance to failure that the structure
has and, in case of failure, its ability to fail without any disastrous
consequences. Reliability means that a structure exists without failure, but
when design factors are manipulated to very large extents to completely rule
out failure, costs and feasibility can be limiting factors that influence a
designer. All reliability factors have to take into consideration that a
structure will only be under certain conditions, and if conditions start
existing that have not been considered, the structural reliability of a
building can be in great danger.
Compared to other engineering
disciplines, structural engineering has learnt a lot from mistakes. It is
rather unfortunate that most of these have been caused by failures that have
been in the public arena and therefore widely publicized. While a number of
such failures have been caused by unforeseen natural or manmade disasters, the
fact that they have taken place has led to structural engineers having to deal
with a lot of negative publicity
Any design of a structure
requires that the many uncertainties that are there in the loading, properties
of the materials used, and other aspects of the geometry of a structure be
taken into account .This is normally done by assuming conservative values and
factors of safety that allows the determination of the required design. While
such a method of deterministic design will yield a safe design that will be
largely conservative, the results may produce structures that are heavy and
costly. Structural engineering has a very heavy reliance on analysis and
computation because of the scale and uniqueness of such works. Allowable stress
was the principle for structural design and assumptions that structures behaved
elastically.
The new field that tackles
reliability in structures is being developed around a concept that the
uncertainties in strengths and loads can be modeled using
the theories of probability. The basic notion is summed up by the premise that
structural failure occurs when the structural action is greater than the
structural resistance. Modeling these two
factors of action and resistance as random variables and the probability of the
limit state that induces failure, can be computed where the resistance becomes
less than the structural action.
The required strength has to
be less than the designed strength to ensure structural safety. Required
strength is estimated by performing structural analysis of a structure when it
is subjected to the designed loads. The design strength is arrived at by using
the principles of structural mechanics where the dimensions of the structure
and the strengths of the materials used play a part.
The use of probabilistic
structural design has led to structures that are lighter and could therefore be
classified as environmentally friendly, as they consume fewer materials and
other scarce resources.