244 On the Transverse Str ain, 
T.DXT.A, 
And hence, in the foregoing formula —- a a] 
we have the 
MW gv 
Sum of the forces in acb, o f= * — T, that of the 
a? 
o+l 
SX® 
a’ 
products of theforces X their distances, or 
rYy y wi 
dq ty : 
=T.D, 
SF. v-+l Key 
Skt ge es skane Sa 
ST Xy*3 
a’ L.C 
(when a =a, and y=d). And thisis a gene- 
ral expression for it when the situation of the 
neutral line is given. 
Cor. ist. Ifv=w=o, 
if yYy 
at 
L.C : 
Ff Xa and aye Yy are the sections of tension 
and compression, and fxXz, and fyYy, the 
areas of those sections multiplied by the dis- 
tances of ee centres of gravity, the atrenate 
Whence the strength = 
Sfxee + fsXx X 
strength — and since 
becomes = —2 
“7 a x section of tension ++ L ~. x 
g’ x section of compression _ 
= paees ————_— 
section of compression 
section of tension X 
Le% section tension X (g+g’), where g and 
eS 
ae 
