606 



Dr. C. Chree : Applications of 

 Table I. 



Types of Bars A 



(cm. 2 ) 



(cm. 4 ) 



B. 



C. 



5-226 



•782 



1-509 

 •5213 



2-771 



•9832 



D. 



E (grammes wt. per cm. 2 ) |9x 10 8 ;2l4xl0 7 925xl0 t 



w (grammes) ;44'4 



p ! 8-5 



I (cm) ! 52-26 



0-67 



067 



(W 3 /Ewk 2 )x10 3 1 900 



(wl 3 /Ew K °~) 2 xlO 5 ! 8-11 



H (=beight of C.G. above 1 

 supports) (cm.) J 



h (=. height of divided sur- j 

 face above C.G.) (cm ) ... j 



Z11X ±U' 



yzo x iu j 



3235 



24-71 



21-5 



8-9 



51-0 



50-46 



1-00 



1-118 



o-oo 



0-882 



3-847 



3-491 



1-480 



1-219 



1-087 



•3S05 

 9x10* 

 9-24 

 8-5 

 61-0 

 1-025 

 5-0 

 612 

 3-75 



1-383 

 •685 

 9x10* 

 11-76 

 8-5 

 •15-0 

 1075 

 6-8 

 1-74 

 0305 



In Table 1. I have taken for E the value given by Broch. 

 The value quoted by Benoit, apparently for the same metres, 

 is somewhat less, viz. 197 x 10 7 . Calling a bar of type B but 

 of this lower value of Young's modulus B', the values of 

 10 8 (wZ s /Eo)« 2 ) and of 10 5 x [icP/Ecofc 2 ) 2 for B' are respectively 

 4-179 and 1*746. 



§ 29. Table 1L— calculated from (67) and (68)— gives the 

 increment in the length of bars of the several types due 

 respectively to an increase of 1 atmosphere in the surrounding 

 pressure, and to the reaction of the supports when the 

 bars are in air. The minus sign denotes shortening. The 

 values of Poisson's ratio being unknown, rj is tentatively 

 given the values 1/4 and 1/3. 



Table II. (Unit = 0-001 mm. = 1 p.) 



Change of length of bar 

 due to 



1 atmosphere f V ="'-5... 

 pressure. j 7] = .£ _ 



reaction of f ^ = - 25 



supports, j 1) = .>j 



Types. 



A. 



B. 



B'. 



-0-27 

 -0-18 



+ ■0028 

 +•0037 



C. 



D. 



-0-70 

 -0-47 



+ 0030 



+ 0039 



E. 



-0-60 

 -0-40 



+ 0017 

 + •0022 



-0-25 

 -0-16 



+ -0020 

 + •0034 



-0-56 



-0-38 



+ •0027 

 + •0036 



-0-52 

 -0-35 



