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  2. Influence line - Wikipedia

    en.wikipedia.org/wiki/Influence_line

    An influence line for a given function, such as a reaction, axial force, shear force, or bending moment, is a graph that shows the variation of that function at any given point on a structure due to the application of a unit load at any point on the structure. An influence line for a function differs from a shear, axial, or bending moment diagram.

  3. Müller-Breslau's principle - Wikipedia

    en.wikipedia.org/wiki/Müller-Breslau's_principle

    This means if the influence line for a reaction is asked for, simply start by pretending the beam is no longer attached to the reaction in question and is free to rotate about the other support. If the influence line for a moment is desired, pretend the point in question is a hinge and the subsequent two sides can rotate about their supports.

  4. Newmark's influence chart - Wikipedia

    en.wikipedia.org/wiki/Newmark's_influence_chart

    Newmark's Influence Chart is an illustration used to determine the vertical pressure at any point below a uniformly loaded flexible area of soil of any shape. This method, like others, was derived by integration of Boussinesq's equation for a point load.

  5. Betti's theorem - Wikipedia

    en.wikipedia.org/wiki/Betti's_theorem

    Betti's theorem, also known as Maxwell–Betti reciprocal work theorem, discovered by Enrico Betti in 1872, states that for a linear elastic structure subject to two sets of forces {P i} i=1,...,n and {Q j}, j=1,2,...,n, the work done by the set P through the displacements produced by the set Q is equal to the work done by the set Q through the displacements produced by the set P.

  6. Influence diagram - Wikipedia

    en.wikipedia.org/wiki/Influence_diagram

    An influence diagram (ID) (also called a relevance diagram, decision diagram or a decision network) is a compact graphical and mathematical representation of a decision situation. It is a generalization of a Bayesian network , in which not only probabilistic inference problems but also decision making problems (following the maximum expected ...

  7. As Musk gains influence, questions hover over US probes into ...

    www.aol.com/news/musk-gains-influence-questions...

    Musk has touted his newfound influence and given specific examples of how he might use it. ... Prosecutors have grappled with demonstrating that Musk and Tesla crossed a line from legal ...

  8. File:Muller-Breslau Principle - Influence Lines.JPG - Wikipedia

    en.wikipedia.org/wiki/File:Muller-Breslau...

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  9. This Nighttime Habit Could Be A Key Indicator Of Dementia ...

    www.aol.com/lifestyle/nighttime-habit-could-key...

    "There is an established line between individuals with dysfunctional or inadequate sleep and dementia," says W. Christopher Winter, MD, a neurologist and sleep medicine physician with ...