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Virtual work is the total work done by the applied forces and the inertial forces of a mechanical system as it moves through a set of virtual displacements. When considering forces applied to a body in static equilibrium, the principle of least action requires the virtual work of these forces to be zero.
Structural dynamics. Structural dynamics is a type of structural analysis which covers the behavior of a structure subjected to dynamic (actions having high acceleration) loading. Dynamic loads include people, wind, waves, traffic, earthquakes, and blasts. Any structure can be subjected to dynamic loading.
Rayleigh–Ritz method. The Rayleigh–Ritz method is a direct numerical method of approximating eigenvalues, originated in the context of solving physical boundary value problems and named after Lord Rayleigh and Walther Ritz . It is used in all applications that involve approximating eigenvalues and eigenvectors, often under different names.
Website. https://nptel.ac.in/. The National Programme on Technology Enhanced Learning (NPTEL) is an Indian e-learning platform for university-level science, technology, engineering, and mathematics (STEM) subjects. NPTEL is the largest e-repository in the world of courses in engineering, basic sciences and selected humanities and management ...
Hardy Cross method. The Hardy Cross method is an iterative method for determining the flow in pipe network systems where the inputs and outputs are known, but the flow inside the network is unknown. [1] The method was first published in November 1936 by its namesake, Hardy Cross, a structural engineering professor at the University of Illinois ...
Euler–Bernoulli beam theory (also known as engineer's beam theory or classical beam theory) [1] is a simplification of the linear theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams. It covers the case corresponding to small deflections of a beam that is subjected to lateral ...
In a new study, which examined the structural integrity of white matter in superagers using diffusion imaging, researchers explain how these individuals may preserve their cognitive abilities.
Dunkerley’s formula (approximation) The whirling frequency of a symmetric cross section of a given length between two points is given by: where: E = Young's modulus, I = second moment of area , m = mass of the shaft, L = length of the shaft between points. A shaft with weights added will have an angular velocity of N (RPM) equivalent as follows: