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  2. Conjugate beam method - Wikipedia

    en.wikipedia.org/wiki/Conjugate_beam_method

    This beam has the same length as the real beam and has corresponding supports as listed above. In general, if the real support allows a slope, the conjugate support must develop shear; and if the real support allows a displacement, the conjugate support must develop a moment. The conjugate beam is loaded with the real beam's M/EI diagram.

  3. Theorem of three moments - Wikipedia

    en.wikipedia.org/wiki/Theorem_of_three_moments

    The moment M1, M2, and M3 be positive if they cause compression in the upper part of the beam. (sagging positive) The deflection downward positive. (Downward settlement positive) Let ABC is a continuous beam with support at A,B, and C. Then moment at A,B, and C are M1, M2, and M3, respectively.

  4. Influence line - Wikipedia

    en.wikipedia.org/wiki/Influence_line

    Figure 1: (a) This simple supported beam is shown with a unit load placed a distance x from the left end. Its influence lines for four different functions: (b) the reaction at the left support (denoted A), (c) the reaction at the right support (denoted C), (d) one for shear at a point B along the beam, and (e) one for moment also at point B. Figure 2: The change in Bending Moment in a ...

  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. Structural engineering - Wikipedia

    en.wikipedia.org/wiki/Structural_engineering

    A beam may be defined as an element in which one dimension is much greater than the other two and the applied loads are usually normal to the main axis of the element. Beams and columns are called line elements and are often represented by simple lines in structural modeling. cantilevered (supported at one end only with a fixed connection)

  7. Tied-arch bridge - Wikipedia

    en.wikipedia.org/wiki/Tied-arch_bridge

    Like for multi-span continuous beam bridges the tying chord continually spans over all piers. The arches feet coincide (fuse) at the bridge piers. A good visual indication are shared supports at the piers. Dynamic loads are distributed between spans. This type may be combined with the shouldered tied-arch design discussed above.

  8. Scientists Think They've Figured Out How to Build a Real-Life ...

    www.aol.com/scientists-think-theyve-figured...

    The quest for a real life tractor beam continues, with a 2-micrometer-thick silicon light bender. The silicon metasurface changes a solid beam into a triple spiral one that can pick up particles.

  9. Timoshenko–Ehrenfest beam theory - Wikipedia

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

    The two equations that describe the deformation of a Timoshenko beam have to be augmented with boundary conditions if they are to be solved. Four boundary conditions are needed for the problem to be well-posed. Typical boundary conditions are: Simply supported beams: The displacement is