Structural Engineering

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5.4Flexure 115


b


y


x


h


Y


X


A = bh


x =


b


2


y =


h


2


Ix =


bh


3


12


Iy =


hb


3


(^12) b’
b
h h’
x
y
X
Y
A = bhb
0
h
0
x =
b
2
y =
h
2
Ix =
bh
3
b
0
h
03
12
Iy =
hb
3
h
0
b
03
12
h
b
Y
X
y
a
A =
h(a+b)
2
y =
h(2a+b)
3(a+b)
Ix =
h
3
(a
2
+4ab+b
2
36(a+b)
h
b
x
X
y
c
Y A =
bh
2
x =
b+c
3
y =
h
3
Ix =
bh
3
36
Iy =
bh
36
(b
2
bc+c
2
)
X
Y
r
A = r
2


d
2
4
Ix=Iy =
r
4
4


d
4
64
X
Y
t r A = 2 rt=dt
Ix=Iy = r
3
t=
d
3
t
8
b
b
a a
X
Y
A = ab
Ix =
ab^3
3
Iy =
ba^3
4
Table5.3:SectionProperties

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