Civil Engineering Reference
In-Depth Information
y
t
(
)
2
(
)
2
3
2
4
3
y
h
ybEE
f
φ− φ−
y
EE
f
h
y
c
c
2
2
2
2
MbE
=φ +φ−
bE
c
b
c
cn
cs
cs
s
s
3
2
2
4
4
4
2
3
c
c
0
c
2
3
2
y
h
y
h
y
+
bf
+ −+φ+φ−
bf
cy bE
bE
c
c
c
2
s
2
s
2
2
3
2
2
y
t
2
2
(
)
(
)
bE
φ
bE
φ
h
bE
E
φ− φ−
bE
E
h
cs
3
cs
2
c
2
24
c
2
2
3
=
y
+
cy
y
cy
t
t
st
s
t
3
2
2
16
f
12
f
2
c
c
bf
bf
h
h
cy b E
φ
cb E
φ
c
2
c
2
2
s
3
2
s
3
+
c
y f
+
cc bf
+
y
t
c
c
t
t
2
2
2
2
3
3
b Eh
φ
b Eh
φ
2
s
2
2
s
2
+
cc
cy
t
22
22
while the section curvature φ= ε
ccu
, the M cn expression may be written as
s
c
2
(
)
2
(
)
bE
E
ε
bE
ε
E
c
2
ccu
c
2
ccu
4
3
M
=−
y
+
y
cn
t
t
16
f
c
3
c
c
(
)
2
2
(
)
bE
E
ε
h
bE
ε
E
h
c
2
ccu
3
c
2
ccu
2
cy
+
cy
t
t
12
f
c
2
2
c
2
c
bf
h
bE
bE
h
c
2
2
2
2
y f
− −+ε +ε
cy
c
cc
t
c
t
ccu
ccu
2
2
3
2
2
bf
h
c
2
+
c f
+
cc
(7.86)
c
2
2
as stated earlier, when the circular section was discussed in Section 7.3.1.1:
c = d
for point B
(7.87)
ε
ε+ε
ccu
cd
=
for point C
(7.88)
ccu
sy
ε
t
ccu
yc
t
=
(7.89)
ε
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