Reference numberRR/15/334
TitleReferee's report by Augustus Edward Hough Love, on a paper 'On an approximate solution for the bending of a beam of rectangular cross-section under any system of load, with special reference to points of concentrated or discontinuous loading' by Louis Napoleon George Filon
Date12 July 1902
DescriptionSectional Committee: Mathematics

Recommended for publication in Philosophical Transactions. The parts of the paper that relate to a comparison of the author's solutions with [Adhémar Jean Claude Barré] de Venant's solution of the cantilever problem stand in need of revision. It desirable to condense the mathematical printing by making all short unnumbered formula or equations run on in the text. All the illustrations should be reproduced. It is a very important paper, no problem of discontinuous loading of a beam of finite section had been resolved before. The author has adapted his general solution to the numerical computation of a number of interesting special cases. The discovery of these general and special solutions of the equations of elastic equilibrium marks a distinct advance in the application of the mathematical theory of elasticity to practical problems.

He notes that the discussion on pages 32 and 33 of the paper seem to require modification. Compares the problem as considered on pages 26-37 with results obtained by Saint Venant for another problem, with the use of small diagrams. The author seems to have gone out of his way on pages 32-33, and on page 132, to set up against each other two methods of formulating the same theory which are essentially identical, neither of them having any real bearing upon the problem with which Filon is concerned. If the discussion on pages 32-33 is to be retained Love suggests how it might be rearranged. He details a few small improvements that might be made in points of detail, for instance requests for clarification with reference to equations on particular pages of the manuscript.

[Published in Philosophical Transactions A, 1903].

Endorsed on verso as received 14 July 1902.
Physical descriptionStandardised form (type A) and note on paper
Digital imagesView item on Science in the Making
Access statusOpen
Related materialDOI: 10.1098/rsta.1903.0014
Related records in the catalogueRR/15/335
Fellows associated with this archive
NA7994Love; Augustus Edward Hough (1863 - 1940)1863 - 1940
NA1233Filon; Louis Napoleon George (1875 - 1937)1875 - 1937
Add to My Items

    Collection highlights

    Browse the records of some of our collections, which cover all branches of science and date from the 12th century onwards. These include the published works of Fellows of the Royal Society, personal papers of eminent scientists, letters and manuscripts sent to the Society or presented at meetings, and administrative records documenting the Society's activities since our foundation in 1660.

    The Royal Society

    The Royal Society is a Fellowship of many of
    the world's most eminent scientists and is the
    oldest scientific academy in continuous existence.
    Registered charity number 207043

    Website design ©CalmView


    + 44 207 451 2500
    (Lines open Mon-Fri, 9:00-17:00. Excludes bank holidays)

    6-9 Carlton House Terrace, London SW1Y 5AG

    Email Us →


    Subscribe to our newsletters to be updated with the
    latest news on innovation, events, articles and reports.

    Subscribe →

    © CalmView