Euler's critical load (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Euler's critical load" in English language version.

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archive.org

  • Euler, Leonard (1744). Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes sive solutio problematis isoperimetrici latissimo sensu accepti [A method of finding curved lines enjoying the maximum-minimum property, or the solution of the isoperimetric problem in the broadest sense] (in Latin). Geneva, Switzerland: Marc Michel Bousquet et Cie. pp. 267–268. From pp. 267-268: "37. Quae ante de specie prima sunt annotata inservire possunt viribus columnarum dijudicandis. […] contra vero si pondus P fuerit majus, columna incurvationi resistere non poterit." (37. Those [things] which have been noted before about the first type can serve in judging the strength of columns. So let the column AB be placed vertically on the base A, bearing the load P. For if the column is already arranged in such a way that it cannot slide [away] from the load P, [then] if [the load] will have been too great, there will be nothing else to fear except the bending of the column; in this case, therefore, the column may be regarded as endowed with elasticity. Therefore let the absolute elasticity of the column = Ekk, and its height AB = 2f = a; and [in] §25 above [p. 261] we have seen that the required bending force on this column or the minimum [load that is required to bend this column] = ππ Ekk/4ff = ππ Ekk/aa. Thus, unless the load P being carried is greater than Ekk/aa, absolutely no bending will have to be feared; but on the other hand, if the load P will have been greater, the column will not be able to resist bending.)

asme.org

asmedigitalcollection.asme.org

doi.org

mechanicalc.com

  • "Column Buckling | MechaniCalc". mechanicalc.com. Retrieved 2020-12-27.

myindialist.com

engineering.myindialist.com

usyd.edu.au

web.aeromech.usyd.edu.au

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