Basic HTML Version
dy
tan8
= -
8
Di fferential 2
.,j'
l~
d8
dx
dx
dy
dx
2
d y
2
dx
t\'ll~lVl~mlllf1lmtJmJ~UU'll!H
8
i1';lU'lnl~mllJUl1
ds
~m
'1
~~fflmllJln~~ln
nn~~1umu m~::l.1'fh
ds
=
pd8
~l
P
'~Ufffii'llv~ri1UM~
d8
d8
=- ~-
P
ds
2
l1lV
d
y
P
dx
2
~ln'l:~1'll!Nf1l1~~~V
(Flexure Formula)
~::M
i
y
M
H'I1U~l
-
= -
dx
2
EI
Z
d
y
EI.-
Z
=
M
dx
dx
M
P
EI
(2.15)
fflJf1l~ifl~UfflJf1lHl1llJH~n';N'IIV~ri1U lA'~(j~l1~u'llv~mu ~l
EI
m11Un11
Flexural
Rigidity
'IIv~mu 1~UtJn~H~'~1
EI
~::~~~mW~mllJU11'11V~mUH.;t\'lltJ~Uu'jjil~'II11~mUl1lV
ltJ~lm11141 vi~1UlvHm~u1riu~1
EI
~::'h;~~~
~ll~ l
toke Int egrute
~::'1.1
dy
EI-
=
fMd x
+
C\
dx
.
.
toke Integrate
5n111j~~f~l11~::i.1'
ElfdY
HMdx.dx+ C\x+C
2
Ely
(2. 16)
(2.17)
(2.18)
28