1903.] Bending of a Beam of Rectangular Cross-section. 391 



The deviation in the case of the hydrogen thermometer atj'the 

 boiling point of that gas, supposing Callendar's results to be correct, 

 appears relatively small, though the discrepancy is really due to the 

 method of expressing the results, a degree at the lower temperature 

 having a greater thermo-dynamic significance than at the higher 

 temperature. 



The fact that the value of the deviation does not vanish at zero 

 pressure may possibly be due to a tendency of the gaseous molecules to 

 associate. This tendency would be less affected by change of pressure 

 than by change of temperature.* 



" On an Approximate Solution for the Bending of a Beam of 

 Rectangular Cross-section under any System of Load. Addi- 

 tional Note." By L. K Gr. FILON, M.A., D.Sc. Communicated 

 by Dr. C. CHREE, F.R.S. Received September 12, 1903. 



My attention has lately been called by M. Flamant to certain 

 discrepancies in some formulae given by me in a paper recently 

 published under the above title.! 



On investigation I have found that a set of formulae of the paper in 

 question, namely, those of 41, contained several inaccuracies. 



I am unable to account for the introduction of these errors into^the 

 paper, and can only express my great regret that this mistake occurred 

 and that I failed to detect it in time to remedy it before the paper was- 

 finally printed. 



The most important of the final results, those relating to the stresses 

 are, fortunately, correctly given. 



The object of this short note is to give the results of 41 of the 

 paper referred to, in their amended form. 



Equation (111) should read 



The equations following are correct, until we come to (128), which 

 should be 



*--(+*) 



* Ramsay, ' Phys. Soc. Proc.' 



f ' Phil. Trans./ A, vol. 201, pp. 63155. 



