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  2. Torsion constant - Wikipedia

    en.wikipedia.org/wiki/Torsion_constant

    The torsion constant or torsion coefficient is a geometrical property of a bar's cross-section. It is involved in the relationship between angle of twist and applied torque along the axis of the bar, for a homogeneous linear elastic bar. The torsion constant, together with material properties and length, describes a bar's torsional stiffness.

  3. Second polar moment of area - Wikipedia

    en.wikipedia.org/wiki/Second_polar_moment_of_area

    Simply put, the polar moment of area is a shaft or beam's resistance to being distorted by torsion, as a function of its shape. The rigidity comes from the object's cross-sectional area only, and does not depend on its material composition or shear modulus. The greater the magnitude of the second polar moment of area, the greater the torsional ...

  4. Torsion (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Torsion_(mechanics)

    Torsion of a square section bar Example of torsion mechanics. In the field of solid mechanics, torsion is the twisting of an object due to an applied torque. [1] [2] Torsion could be defined as strain [3] [4] or angular deformation, [5] and is measured by the angle a chosen section is rotated from its equilibrium position. [6]

  5. Euler–Bernoulli beam theory - Wikipedia

    en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory

    Euler–Bernoulli beam theory (also known as engineer's beam theory or classical beam theory) [1] is a simplification of the linear theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams. It covers the case corresponding to small deflections of a beam that is subjected to lateral ...

  6. Torsion spring - Wikipedia

    en.wikipedia.org/wiki/Torsion_spring

    In a torsion balance the drive torque is constant and equal to the unknown force to be measured , times the moment arm of the balance beam , so () =. When the oscillatory motion of the balance dies out, the deflection will be proportional to the force:

  7. Cavendish experiment - Wikipedia

    en.wikipedia.org/wiki/Cavendish_experiment

    The large weights can be rotated to the other side of the torsion beam (w, w), causing the beam to rotate in the opposite direction. The Cavendish experiment , performed in 1797–1798 by English scientist Henry Cavendish , was the first experiment to measure the force of gravity between masses in the laboratory [ 1 ] and the first to yield ...

  8. 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

  9. Saint-Venant's theorem - Wikipedia

    en.wikipedia.org/wiki/Saint-Venant's_theorem

    In solid mechanics, it is common to analyze the properties of beams with constant cross section. Saint-Venant's theorem states that the simply connected cross section with maximal torsional rigidity is a circle. [1] It is named after the French mathematician Adhémar Jean Claude Barré de Saint-Venant.