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when we have need to know the temperature in a bar about any distance we can use fourier series to know that and then we can apply sufficient temperature.
Torsion is the twisting of an element from one end relative to the other; this causes deviation from its original shape.An application is as follows:Calculating the torsion of a member (say an I-Beam) to determine the maximum load the structure (in this case I-Beam) can handle before failure. In engineering, specifically Civil Engineering, this is extremely applicable.NOTE: Bending moment is NOT the same as torsion.
For the same reasons that numbers are so important to us today as follows:- weights, measurements, stock control, accountancy, censuses, navigation, civil engineering, battle plans, addition, subtraction, division, multiplication .... etc
Oh, dude, statistics in civil engineering is like the secret sauce that makes everything work. It helps engineers analyze data, predict outcomes, and make informed decisions about structures and projects. So, yeah, it's pretty important if you want buildings to stay standing and bridges to not collapse.
the plane- strain conditions in civil engineering is that state in which the strain in one direction is zero as in long retaining walls, strip foundations, ...etc.