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2. Beam (structure) - Wikipedia

   en.wikipedia.org/wiki/Simply_supported

   In engineering, beams are of several types: [2] Simply supported – a beam supported on the ends which are free to rotate and have no moment resistance. Fixed or encastré (encastrated) – a beam supported on both ends and restrained from rotation. Overhanging – a simple beam extending beyond its support on one end.

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. Timoshenko–Ehrenfest beam theory - Wikipedia

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

   Simply supported beams: The displacement is zero at the locations of the two supports. The bending moment M x x {\displaystyle M_{xx}} applied to the beam also has to be specified. The rotation φ {\displaystyle \varphi } and the transverse shear force Q x {\displaystyle Q_{x}} are not specified.

5. Deflection (engineering) - Wikipedia

   en.wikipedia.org/wiki/Deflection_(engineering)

   The deflection at any point, , along the span of a center loaded simply supported beam can be calculated using: [1] = for The special case of elastic deflection at the midpoint C of a beam, loaded at its center, supported by two simple supports is then given by: [ 1 ] δ C = F L 3 48 E I {\displaystyle \delta _{C}={\frac {FL^{3}}{48EI}}} where

6. 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 ...

7. Structural engineering - Wikipedia

   en.wikipedia.org/wiki/Structural_engineering

   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) simply supported (fixed against vertical translation at each end and horizontal translation at one end only, and able to rotate at the supports)