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P Pe Pe
x y y z z , (1.16)
F J J
z y
or
P e y e
1 y z z , (1.17)
2
F i z 2 i y
J J y
where i z , i – radii of inertia of the cross section
z y
F F
of the rod.
Determine the position of the neutral line. For this equated
to zero right-hand side of the expression (1.17):
P e y e z
1 y z 0 .
F i z 2 i 2 y
P
As 0 , then
F
e y e
1 y z z 0 . (1.18)
i 2 i 2
z y
Expression (1.18) is the equation of the neutral axis. It can
be represented as the equation of the line in segments
y z
1,
a b
where
2
i
a y z ,
н
e y
, (1.19)
2
i н
b z
н
e z
this segments that cuts off the neutral line on the coordinate axes
(fig. 1.8).
Analyzing the formula (1.19), we see:
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