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  2. Theorem of three moments - Wikipedia

    en.wikipedia.org/wiki/Theorem_of_three_moments

    The three moment equation expresses the relation between bending moments at three successive supports of a continuous beam, subject to a loading on a two adjacent span with or without settlement of the supports.

  3. Castigliano's method - Wikipedia

    en.wikipedia.org/wiki/Castigliano's_method

    Castigliano's method for calculating displacements is an application of his second theorem, which states: If the strain energy of a linearly elastic structure can be expressed as a function of generalised force Q i then the partial derivative of the strain energy with respect to generalised force gives the generalised displacement q i in the direction of Q i.

  4. Macaulay's method - Wikipedia

    en.wikipedia.org/wiki/Macaulay's_method

    The starting point is the relation from Euler-Bernoulli beam theory = Where is the deflection and is the bending moment. This equation [7] is simpler than the fourth-order beam equation and can be integrated twice to find if the value of as a function of is known.

  5. Shear and moment diagram - Wikipedia

    en.wikipedia.org/wiki/Shear_and_moment_diagram

    Shear and Bending moment diagram for a simply supported beam with a concentrated load at mid-span. 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.

  6. Influence line - Wikipedia

    en.wikipedia.org/wiki/Influence_line

    The bending moment diagram and the influence line for bending moment at the centre of the left-hand span, B, are shown. In engineering, an influence line graphs the variation of a function (such as the shear, moment etc. felt in a structural member) at a specific point on a beam or truss caused by a unit load placed at any point along the ...

  7. Moment (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Moment_(mathematics)

    In mathematics, the moments of a function are certain quantitative measures related to the shape of the function's graph.If the function represents mass density, then the zeroth moment is the total mass, the first moment (normalized by total mass) is the center of mass, and the second moment is the moment of inertia.

  8. The Asian Way to Make Peanut Butter Cookies 10x Better - AOL

    www.aol.com/asian-way-peanut-butter-cookies...

    How to Make Miso Peanut Butter Cookies. Adding miso to peanut butter cookie dough or any dessert batter is relatively straightforward. Simply whisk the miso into the peanut butter until well ...

  9. Conjugate beam method - Wikipedia

    en.wikipedia.org/wiki/Conjugate_beam_method

    (0) real beam, (1) shear and moment, (2) conjugate beam, (3) slope and displacement The conjugate-beam methods is an engineering method to derive the slope and displacement of a beam. A conjugate beam is defined as an imaginary beam with the same dimensions (length) as that of the original beam but load at any point on the conjugate beam is ...