enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Deflection (engineering) - Wikipedia

    en.wikipedia.org/wiki/Deflection_(engineering)

    In this case, the equation governing the beam's deflection can be approximated as: = () where the second derivative of its deflected shape with respect to (being the horizontal position along the length of the beam) is interpreted as its curvature, is the Young's modulus, is the area moment of inertia of the cross-section, and is the internal ...

  3. 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.

  4. Bending moment - Wikipedia

    en.wikipedia.org/wiki/Bending_moment

    Computing the moment of force in a beam. An important part of determining bending moments in practical problems is the computation of moments of force. Let be a force vector acting at a point A in a body. The moment of this force about a reference point (O) is defined as [2]

  5. Euler–Bernoulli beam theory - Wikipedia

    en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory

    Besides deflection, the beam equation describes forces and moments and can thus be used to describe stresses. For this reason, the Euler–Bernoulli beam equation is widely used in engineering, especially civil and mechanical, to determine the strength (as well as deflection) of beams under bending.

  6. Bending - Wikipedia

    en.wikipedia.org/wiki/Bending

    Direct tensile stress, applicable to steel elements, and is at the lower region of the beam. These last two forces form a couple or moment as they are equal in magnitude and opposite in direction. This bending moment resists the sagging deformation characteristic of a beam experiencing bending. The stress distribution in a beam can be predicted ...

  7. 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.

  8. Direct integration of a beam - Wikipedia

    en.wikipedia.org/wiki/Direct_integration_of_a_beam

    Direct integration is a structural analysis method for measuring internal shear, internal moment, rotation, and deflection of a beam. Positive directions for forces acting on an element. For a beam with an applied weight (), taking downward to be positive, the internal shear force is given by taking the negative integral of the weight: = ()

  9. Sandwich theory - Wikipedia

    en.wikipedia.org/wiki/Sandwich_theory

    Bending of a sandwich beam. The total deflection is the sum of a bending part w b and a shear part w s Shear strains during the bending of a sandwich beam. Let the sandwich beam be subjected to a bending moment and a shear force . Let the total deflection of the beam due to these loads be .