What remains unchanged over time?
Things that are convenient are not changed or investigated! That's how they remain constant, timelessly...
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What remains unchanged over time?
Things that are convenient are not changed or investigated! That's how they remain constant, timelessly...
What
about Lateral Torsional Buckling (LTB) of our structures?
Lateral Torsional Buckling (LTB) is the
deformation experienced by a beam with generally unrenstrained ends.
Causes: The applied loads away from its longitudinal axis. It then undergoes both lateral displacement and bending.
Steel beams with "unrestrained" ends are beams whose compression flange is free to move (or shift) in the lateral direction and also to bend. If we are referring to a simply supported beam, then its compression flange is, of course, the upper flange. As this flange deforms laterally, the flange in tension tends to hold the beam in a straight configuration and thus generates "restoring" forces due to the lateral bending of the beam.
However, these forces alone are not sufficient to hold the beam in a straight configuration. The resistance of the beam to LTB is therefore determined by both the restoring forces and the lateral component of the tensile forces in the tensioned flange of the beam.
Design Provisions: The desired restraint can be fully achieved by the composite action of a concrete deck. Partial restraint can be achieved by the use of intermediate beams. Sufficiently sized and appropriately placed bracing may also be used.
The links between philosophy, scientific freedom and democracy
Generating prime numbers
The Bauhaus movement and its influence today
What
may this year's Nobel Prizes in Physics mean?
Who and why were
they awarded?
Have you heard? The 2022 Nobel Prize in Physics
was awarded jointly to Alain Aspect, John F. Clauser and Anton Zeilinger.
All three laureates received the prize because
of their fundamental contributions to quantum mechanics, relating to
experiments with entangled/coupled, photons. These experiments showed that
information can be transmitted directly over infinite distances, known as
quantum teleportation.
What is Bell's
theorem?
The prize winners' experiments follow what is
known as Bell's theorem. In simple terms, according to this theorem, what is
attempted is to measure whether quantum mechanics approximates Newtonian mechanics,
which is based on events that occur on a local scale (e.g. two balls colliding,
after the collision they only affect each other) or whether, for example, the
particles used in an experiment can be influenced by other particles that may
be located at extremely large distances.
Bell's theorem argues that if certain
predictions of quantum theory are correct, then our world is non-local.
"Non-local" means that there are interactions between events that are
far apart in space and very close together in time. What does this mean? Quite
simply it means that if the quantum approximation is correct then events are
connected even by signals moving at the speed of light. This theorem was proved
in 1964 by John Stewart Bell and over the last few decades has been the subject
of extensive analysis, debate and development by both experimental and
theoretical physicists. The relevant predictions of quantum theory were first
convincingly confirmed by the experiment of Aspect and his collaborators in
1982. Since then they have been confirmed many times. In the context of the
predictions of Bell's theorem, the experiments prove that our world is
non-local. This conclusion is very surprising, given that non-locality seems -
without being 100% sure - not to be predicted by Einstein's theory ofrelativity.
Is quantum
non-locality incompatible with Einstein's relativity?
Here is an important issue, then! Is
non-locality incompatible with fundamental relativity? To attempt to answer
this question one has to face a significant difficulty: What does it mean that
a theory can be characterized as fundamentally relativistic? It may seem
strange that such a difficulty exists for scientists today. For example, one
might think that Maxwell's Einsteinian electromagnetism is a fundamentally
relativistic theory, whereas Newtonian mechanics is not. Obviously, for many
theories of physics it is indeed straightforward to label them as fundamentally
relativistic or not. However, there is a way to show that it is not easy to
precisely formulate the notion of a "fundamentally relativistic
theory", and as far as theories of quantum phenomena are concerned things
are not clear; no scientist today seems to know what a fundamentally
relativistic theory should look like in the quantum world.
Conclusion
We may summarily say that it remains unclear
exactly what "fundamental relativity" means or requires. Therefore,
whether Bell's theorem and related experiments can be compatible with
fundamental relativity remains largely an open question and no one, even after
this year's Nobel Prizes in Physics, could say with certainty that non-locality
is incompatible with Einsteinian relativity.