Beam theory | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-30

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Euler%E2%80%93Bernoulli_beam_theory


00:00:57 1 History
00:02:01 2 Static beam equation
00:04:37 2.1 Derivation of bending moment equation
00:10:34 3 Dynamic beam equation
00:17:16 3.1 Free vibration
00:21:07 3.1.1 Example: Cantilevered beam
00:26:29 3.1.2 Example: unsupported (free-free) beam
00:28:25 4 Stress
00:28:46 4.1 Simple or symmetrical bending
00:32:31 4.2 Maximum stresses at a cross-section
00:34:26 4.3 Strain in an Euler–Bernoulli beam
00:34:47 4.4 Relation between curvature and beam deflection
00:37:57 4.5 Stress-strain relations
00:39:11 5 Boundary considerations
00:40:46 6 Loading considerations
00:44:05 7 Examples
00:47:40 7.1 Three-point bending
00:50:07 7.2 Cantilever beams
00:52:26 7.3 Statically indeterminate beams
00:54:54 8 Extensions
00:55:06 8.1 Large deflections
00:55:34 9 See also
00:55:48 10 Notes
00:59:40 11 References
01:01:21 12 External links
01:01:35 0
01:01:52 L
01:02:13 L
01:03:23 0
01:03:37 0
01:03:54 L
01:07:12 Examples
01:07:21 Three-point bending
01:08:33 Cantilever beams
01:09:22 Statically indeterminate beams
01:10:47 Extensions
01:11:59 Large deflections
01:25:21 See also



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SUMMARY
=======
Euler–Bernoulli beam theory (also known as engineer's beam theory or classical beam theory) 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 for small deflections of a beam that are subjected to lateral loads only. It is thus a special case of Timoshenko beam theory. It was first enunciated circa 1750, but was not applied on a large scale until the development of the Eiffel Tower and the Ferris wheel in the late 19th century. Following these successful demonstrations, it quickly became a cornerstone of engineering and an enabler of the Second Industrial Revolution.
Additional analysis tools have been developed such as plate theory and finite element analysis, but the simplicity of beam theory makes it an important tool in the sciences, especially structural and mechanical engineering.