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2. Euler–Bernoulli beam theory - Wikipedia

   en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory

   Euler–Bernoulli beam theory can also be extended to the analysis of curved beams, beam buckling, composite beams, and geometrically nonlinear beam deflection. Euler–Bernoulli beam theory does not account for the effects of transverse shear strain. As a result, it underpredicts deflections and overpredicts natural frequencies.

3. Euler's critical load - Wikipedia

   en.wikipedia.org/wiki/Euler's_critical_load

   Using the free body diagram in the right side of figure 3, and making a summation of moments about point x: = + = where w is the lateral deflection. According to Euler–Bernoulli beam theory , the deflection of a beam is related with its bending moment by: M = − E I d 2 w d x 2 . {\displaystyle M=-EI{\frac {d^{2}w}{dx^{2}}}.}

4. K-factor (metallurgy) - Wikipedia

   en.wikipedia.org/wiki/K-factor_(metallurgy)

   The K-factor is the bending capacity of sheet metal, and by extension the forumulae used to calculate this. [1] [2] [3] Mathematically it is an engineering aspect of geometry. [4] Such is its intricacy in precision sheet metal bending [5] (with press brakes in particular) that its proper application in engineering has been termed an art. [4] [5]

5. Macaulay's method - Wikipedia

   en.wikipedia.org/wiki/Macaulay's_method

   Macaulay's method (the double integration method) is a technique used in structural analysis to determine the deflection of Euler-Bernoulli beams.Use of Macaulay's technique is very convenient for cases of discontinuous and/or discrete loading.

6. 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.

7. Four-point flexural test - Wikipedia

   en.wikipedia.org/wiki/Four-point_flexural_test

   In the 4-point bending test, the specimen is placed on two supports and loaded in the middle by a test punch with two loading points. This results in a constant bending moment between the two supports. Consequently, a shear-free zone is created, where the specimen is subjected only to bending.