Civil Engineering Reference
In-Depth Information
10
10
10
Figure 5.39
5. Derive the equivalent nodal force
F
5
that is one of the equivalent nodal forces
required to model a linear triangular distributed load varying from one to zero as
shown in Figure 5.40. Given that
F
4
=
L/
3 what must
F
3
be equal to?
Ans:
F
3
=
0
,F
4
=
L/
3
,F
5
=
L/
6
1.0
F
3
F
5
F
4
L
L
Figure 5.40
6. The 4-node element shown in Figure 5.41 is fixed on three sides and subjected to the
indicated fixed displacement at the free node. Estimate the stresses at the centroid of
the element assuming plane strain conditions.
σ
x
σ
y
τ
xy
6
.
66
4
.
96
Ans:
=
−
3
.
50
