Civil Engineering Reference
In-Depth Information
y
2
3
Plane strain
Centroid
E= 1000.
u
= 0.25
1.0
1
4
x
20
°
Displacement
= 0.015
1.5
Figure 5.41
7. The rectangular 8-node element shown in Figure 5.42 has a unit weight of
γ
and is
subjected to gravitational loading. Compute the equivalent vertical nodal load
F
corner
at node 1.
If it can be assumed that the equivalent loads due to gravity result in all corner loads
equalling
F
corner
and all mid-side loads equaling
F
mid
−
side
, deduce also the value
of
F
mid
−
side
.
(Ans:
F
corner
=
abγ/
12,
F
mid
−
side
=−
abγ/
3)
γ
gravitational
body load
F
mid-side
F
corner
F
corner
h
F
mid-side
F
mid-side
x
b
Node 1
F
corner
F
mid-side
F
corner
a
Figure 5.42