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Cantilever beam case study

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Beam , in engineering, originally a solid piece of timber, as a beam of a house, a plow, a loom, or a balance. In building construction , a beam is a horizontal member spanning an opening and carrying a load that may be a brick or stone wall above the opening, in which case the beam is often called a lintel see post-and-lintel system. The load may be a floor or roof in a building , in which case the beam is called a floor joist or a roof joist. In a bridge deck the lightly loaded longitudinal beams are the stringers; the heavier, transverse members are called floor beams.
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Everything You Should Know About Cantilever Beams

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The Timoshenko—Ehrenfest beam theory was developed by Stephen Timoshenko and Paul Ehrenfest [1] [2] [3] early in the 20th century. The resulting equation is of 4th order but, unlike Euler—Bernoulli beam theory , there is also a second-order partial derivative present. Physically, taking into account the added mechanisms of deformation effectively lowers the stiffness of the beam, while the result is a larger deflection under a static load and lower predicted eigenfrequencies for a given set of boundary conditions. The latter effect is more noticeable for higher frequencies as the wavelength becomes shorter in principle comparable to the height of the beam or shorter , and thus the distance between opposing shear forces decreases. Rotary inertia effect was introduced by Bresse [6] and Rayleigh. If the shear modulus of the beam material approaches infinity—and thus the beam becomes rigid in shear—and if rotational inertia effects are neglected, Timoshenko beam theory converges towards ordinary beam theory. In static Timoshenko beam theory without axial effects, the displacements of the beam are assumed to be given by.
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Timoshenko–Ehrenfest beam theory

It is widely-used for a number of applications. Enter the beam width and depth to lookup the approximate weight per foot : Enter the type of beam, span, and weight to calculate. Crunch the numbers for your next project!
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