Civil Engineering Reference
In-Depth Information
3
hb
h
It
Ay
2
bh
12
A
=
zz
=
=
y
′
bh b
'
3
24
bh
b
bh h
3
It
Az
2
bh
12
yy
A
=
=
=
z
′
'
3
24
For a rectangle, the shear areas are both two-thirds the cross-sectional
area.
Example 5.13
Shear area
Determine the shear area
A
z
for the T-shaped section shown in Figure 5.15.
The centroid and the centroidal moment of inertia are found using the
moment of area principles.
∑
∑
=
()
+
()
()
Az
A
2126 12 213
2122
z
=
=
950
.
in
′
+=
()
+
()
−
3
()
+
()
−
3
212
12
212956
12 2
12
(
)
+
2
(
)
2
∑
2
I
=
I
Ad
.
12 29513
.
y
y
z
4
=
884 0
. in
12"
z
2"
y
12"
2"
Figure 5.15.
Example 5.13 Shear area.
