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  2. Müller-Breslau's principle - Wikipedia

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

    The structure is statically determinate. Therefore, all influence lines will be straight lines. Parts (b) and (c) of the figure shows the influence lines for the reactions in the y-direction. Releasing the vertical reaction for A allows the beam to rotate to Δ. Likewise for part (c). Δ is typically taken as positive upwards.

  3. Statically indeterminate - Wikipedia

    en.wikipedia.org/wiki/Statically_indeterminate

    Descriptively, a statically determinate structure can be defined as a structure where, if it is possible to find internal actions in equilibrium with external loads, those internal actions are unique. The structure has no possible states of self-stress, i.e. internal forces in equilibrium with zero external loads are not possible.

  4. Conjugate beam method - Wikipedia

    en.wikipedia.org/wiki/Conjugate_beam_method

    Here the conjugate beam has a free end, since at this end there is zero shear and zero moment. Corresponding real and conjugate supports are shown below. Note that, as a rule, neglecting axial forces, statically determinate real beams have statically determinate conjugate beams; and statically indeterminate real beams have unstable conjugate ...

  5. Influence line - Wikipedia

    en.wikipedia.org/wiki/Influence_line

    R. C. Hibbeler states, in his book Structural Analysis, “All statically determinate beams will have influence lines that consist of straight line segments.” [5] Therefore, it is possible to minimize the number of computations by recognizing the points that will cause a change in the slope of the influence line and only calculating the ...

  6. Structural engineering theory - Wikipedia

    en.wikipedia.org/wiki/Structural_engineering_theory

    A statically indeterminate structure has more unknowns than equilibrium considerations can supply equations for (see simultaneous equations). Such a system can be solved using consideration of equations of compatibility between geometry and deflections in addition to equilibrium equations, or by using virtual work .

  7. Beam (structure) - Wikipedia

    en.wikipedia.org/wiki/Beam_(structure)

    A statically determinate beam, bending (sagging) under a uniformly distributed load. A beam is a structural element that primarily resists loads applied laterally across the beam's axis (an element designed to carry a load pushing parallel to its axis would be a strut or column).

  8. Structural engineering - Wikipedia

    en.wikipedia.org/wiki/Structural_engineering

    A statically determinate simply supported beam, ... Beams and columns are called line elements and are often represented by simple lines in structural modeling.

  9. Truss - Wikipedia

    en.wikipedia.org/wiki/Truss

    When =, the truss is said to be statically determinate, because the (m+3) internal member forces and support reactions can then be completely determined by 2j equilibrium equations, once we know the external loads and the geometry of the truss. Given a certain number of joints, this is the minimum number of members, in the sense that if any ...