24 



Mr. J. Morrow. On the Distribution of [Oct. 27, 



Distribution of Stress in Beams. 



Assuming, as in the Coulomb-St. Venant theory, that the rela- 

 tions which hold between direct stress and lateral strain in tensile 

 and compressive tests are, at the lower loads, the same as those 

 which obtain between the stresses parallel to the axis of a beam 

 and the corresponding strains at right-angles to that direction, the 

 distribution of stress over the cross-section of a beam may be inferred 

 from the' observed lateral strains. 



Fig. 6. 



/ 



Thus, Table III gives the differences of scale readings measuring 

 the lateral displacements in the first cast-iron beam. In Table X we 

 have the total scale differences due to the different loads. This has 

 been obtained directly from Table III by addition ; and for the zero 

 readings it has been supposed that from — J ton the displacements 

 would follow the same law as those between \ and \ ton. The actual 

 lateral strains are then calculated as in Table XI. They are given 



