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  2. Shear and moment diagram - Wikipedia

    en.wikipedia.org/wiki/Shear_and_moment_diagram

    Shear force and bending moment diagrams are analytical tools used in conjunction with structural analysis to help perform structural design by determining the value of shear forces and bending moments at a given point of a structural element such as a beam. These diagrams can be used to easily determine the type, size, and material of a member ...

  3. Euler–Bernoulli beam theory - Wikipedia

    en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory

    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 ...

  4. Stress resultants - Wikipedia

    en.wikipedia.org/wiki/Stress_resultants

    Stress resultants are defined as integrals of stress over the thickness of a structural element. The integrals are weighted by integer powers the thickness coordinate z (or x3 ). Stress resultants are so defined to represent the effect of stress as a membrane force N (zero power in z ), bending moment M (power 1) on a beam or shell (structure).

  5. Microsoft takes aim at Google with launch of new ChatGPT ...

    www.aol.com/finance/microsoft-debuts-chatgpt...

    Microsoft fired its latest salvo against rival Google on Tuesday, debuting a new version of its Bing search engine powered by OpenAI's GPT-4, a more powerful version of its popular ChatGPT natural ...

  6. Bending moment - Wikipedia

    en.wikipedia.org/wiki/Bending_moment

    Bending moment. Shear and moment diagram for a simply supported beam with a concentrated load at mid-span. In solid mechanics, a bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. [1] [2] The most common or simplest structural element subjected ...

  7. Microsoft’s Bing is the first threat to Google’s search ...

    www.aol.com/finance/microsoft-bing-first-threat...

    Wednesday, Feb. 8, 2023. Microsoft is coming for Google's biggest moneymaker. Microsoft ( MSFT) on Tuesday unveiled what could be the biggest threat to Google’s ( GOOG, GOOGL) search empire in ...

  8. Google is reinventing itself for the AI age [Video] - AOL

    www.aol.com/finance/google-reinventing-itself-ai...

    MOUNTAIN VIEW, Calif. — Google ( GOOG, GOOGL) is in the midst of a full-blown AI evolution. On Tuesday, the company announced a flurry of AI products and services during its I/O developer ...

  9. Timoshenko–Ehrenfest beam theory - Wikipedia

    en.wikipedia.org/wiki/Timoshenko–Ehrenfest_beam...

    The Timoshenko–Ehrenfest beam theory was developed by Stephen Timoshenko and Paul Ehrenfest [1] [2] [3] early in the 20th century. [4] [5] The model takes into account shear deformation and rotational bending effects, making it suitable for describing the behaviour of thick beams, sandwich composite beams, or beams subject to high- frequency ...