Civil Engineering Reference
In-Depth Information
8. The global stiffness matrix for the problem shown in Figure 5.43 is given by
α
12
.
5
12
.
575
[
K
]
m
=
Derive the missing term
α
and hence compute the displacement of the loaded node.
Ans:
α
=
50,
δ
x
=−
0
.
017,
δ
y
=−
0
.
010
1,2
0,0
Plane strain
E=100
u
=0
1
0,0
1,2
45
o
2
P=
√
2
Figure 5.43
9. Compute the equivalent nodal loads for the uniform distributed loading applied over
one half of one side of the 8-node quadrilateral element shown in Figure 5.44.
Ans:
F
5
=−
6,
F
6
=
48,
F
7
=
30,
3
5
4
6
2
6
q=24
1
8
7
8
Figure 5.44
10. The third member of the triangular family has 10 nodes as shown in Figure 5.45.
Set up the system of simultaneous equations that would enable you to derive the
shape function
N
10
in local coordinates for this element. Do not attempt to solve the
equations.
