610 



Dr. C. Chree: Applications of 

 Table V. — Largest values of slopes. 



Bar. 



Value 

 of*. 



a 1= 



•5774 



10 



A {'. 



B {?> 



B '{? 

 0{? 



4-310 +272 +161 



+132 +U6 4-69 



+ 144 +126 +75 



+120 +106 +62 



[0] -23-38 -55 -288 -619 



+77 +23 [0] [-25] [-285] -619 



[0] -10 -16 -24 -123 -264 



+33 +10 [0] [-11] [-122] -264 



[0] -11 



+36 +11 



[0] -9 



+30 +9 



■17 -26 -134 -2S7 

 [0] [-12] [-132] -287 



15 -21 -112 

 [0] [-10] [-110] 



240 

 240 



For the value *5 of a/ 1 the slopes at the end and at d , = x 1 

 are always numerically equal but of opposite sign. 



Also, as may be seen from formula (79), the slope at the 

 end, numerically considered, is exactly twice as great when 

 the bar is supported at the ends as when it is supported 

 at the middle. 



Even in bar the slope at the ends changes (algebraically) 

 to the extent of 6' as the supports are moved from under the 

 centre to under the ends. 



§ 33. Table VI. gives for some of the typical bars the 

 values of x-Jl and of ^ — i. e. the distance from the centre 

 of the points where the largest slope is found — for repre- 

 sentative values of a/L 



Table YI. 



Values of s-Jl, 



and also of 



SB\ (in centimetres). 







a ?= -5 



vf3 



•6 -8 



10 



Bar. 

 A. .r, = 



•3333 

 17-42 



•3933 

 2056 



•4472 -7746 

 23-37 40-48 



10 



5226 



B&B'. *, = 



1700 



2006 



22-81 39 51 



5100 



0. x 1 = 



1682 



19-85 



22-57 39-09 



5046 



D. x, = 



20-33 



23-99 



27-28 47-25 



610 



"When a/l is less than *5 the greatest slope, it will be remem- 

 bered, is found at the end of the bar. 



