MR. L. N. G. FILUN ON AN APPROXLMATP] SOLUTION FOR BENDING A 
12fi 
N ow for the small values of Ijb 
8, = (//6)G,- 
But since = 24 ' 824 , Fg = 7 ‘ 224 , 
increases from the centre outwards. 
when l/h is small So > 28^, and the shear 
This is shown hy the full curve (a) in hg. vi. 
(d) - 
C = oo. 
Fig. vi. 
Sin 
TT/'i 
W//" 
sin 
TTiV 
2</)o will be 
Near the edges y = :t: b, ii I iie small, the terms 
the most important. FEeiice the shear is a. minimum at the centre, increases to a 
high maximum corresponding to a distance trom the edge ec[ual to I approximately, 
and decreases down again to zero. The full curve in tig. vi. has been drawn 
for / = 6/1U. 
As we increase I, these maxima at the sides become smaller and smaller and move 
towards the centre. At the same time the shear at the centre increases. 
When l/b is made indefinitely large it is easily seen that Sq and tend to the 
finite limit Stt/S whereas So and all the others tend to zero. 
Hence, for some value of l/b we must havm S^ — 2Sj. 
