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  2. 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.

  3. Macaulay's method - Wikipedia

    en.wikipedia.org/wiki/Macaulay's_method

    Simply supported beam with a single eccentric concentrated load. An illustration of the Macaulay method considers a simply supported beam with a single eccentric concentrated load as shown in the adjacent figure. The first step is to find . The reactions at the supports A and C are determined from the balance of forces and moments as

  4. Moment distribution method - Wikipedia

    en.wikipedia.org/wiki/Moment_distribution_method

    The traditional engineer's sign convention is not used in the calculations of the moment distribution method although the results can be expressed in the conventional way. In the BMD case, the left side moment is clockwise direction and other is anticlockwise direction so the bending is positive and is called sagging.

  5. Structural engineering theory - Wikipedia

    en.wikipedia.org/wiki/Structural_engineering_theory

    Strength depends upon material properties. The strength of a material depends on its capacity to withstand axial stress, shear stress, bending, and torsion.The strength of a material is measured in force per unit area (newtons per square millimetre or N/mm², or the equivalent megapascals or MPa in the SI system and often pounds per square inch psi in the United States Customary Units system).

  6. Direct integration of a beam - Wikipedia

    en.wikipedia.org/wiki/Direct_integration_of_a_beam

    Simply supported beam with a constant 10 kN per meter load over a 15m length. Take the beam shown at right supported by a fixed pin at the left and a roller at the right. There are no applied moments, the weight is a constant 10 kN, and - due to symmetry - each support applies a 75 kN vertical force to the beam. Taking x as the distance from ...

  7. Structural load - Wikipedia

    en.wikipedia.org/wiki/Structural_load

    A structural load or structural action is a mechanical load (more generally a force) applied to structural elements. [1] [2] A load causes stress, deformation, displacement or acceleration in a structure. Structural analysis, a discipline in engineering, analyzes the effects of loads on structures and structural elements.

  8. Beam (structure) - Wikipedia

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

    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). Its mode of deflection is primarily by bending , as loads produce reaction forces at the beam's support points and internal bending moments , shear ...

  9. Load path analysis - Wikipedia

    en.wikipedia.org/wiki/Load_path_analysis

    a): load paths based on U* index; b): von Mises stress distribution [2] In the image to the right, a structural member with a central hole is placed under load bearing stress. Figure (a) shows the U* distribution and the resultant load paths while figure (b) is the von Mises Stress distribution. As can be seen from figure (b), higher stresses ...