166 



REPORT 1867. 



FIRST SERIES OF EXPERIMENTS. 



TKANSYEESE STRAIN. 



Experiment I. — Bar of Steel fi-om Messrs. John Brown & Co., Sheffield. 

 Dimension of bar -97 inch square. Length between supports 4 feet 

 6 inches. Mark on bar, " B 1." 



Results of Ea'p. I. 



Here the weight («>) corresponding to the limit of elasticity is 960 lbs., 

 and the corresponding deflection (2) is 1-307. See formulae of reduction, 

 p. 105. 



By formula (6). — The mean value of the deflection for unity of pressure 

 and section (D^) = -0012048. 



By formula (7). — The mean value of the modulus of elasticity (E) 

 = 32,672,000. 



By formula (2). — The mqdulus of elasticity (E) corresponding to 112 lbs. 

 pressure = 33,047,000. ' 



By formula (8). — Work of deflection (U) up to the limit of elasticity 

 = 52-280. 



By formula (9)-. — Work of deflection (m) for unity of section = 55-563. 



By formula (12). — Value of C, the unit of working strength = 6-326 

 tons. 



