150 Mr Love, Note on Kirchhoff’s theory of the [Nov. 28, 
According to the principles previously explained u, v, w are 
ou 
negligible compared with ape and thus these six equations 
reduce to ia 
Ou 
Ag had, ee ea 
a =—-—KZ+T2# 
On aaa erel 1 
Ow 
ae = Me + HY, : 
Re MeniME MMU en Wi charagiar Pere >>: (7). 
and By a ene 
Ov 
Gens Tas eae 
ow 
oy = No + KY 
¢ Ou Ou Kale 
Since ent Oyen? and similarly for v and w, we deduce 
T,=0 
Tg iO) irieciets sioleater id eplestelsiee so eee (8). 
kK, +rA,=0 
Integrating equations (7) we obtain 
U=U,— KY2Z+ A 2H + 0,0 + oy 
V= Uy KYZ — ZL GY 1 \inene nee (9), 
W=W,— $r,0 + Key + 4K,y" 
where u,, v,, W, are functions of z, and we have put 7,, 7,=0 and 
NGS lee 
2 1 
The six strains are 
