Civil Engineering Reference
In-Depth Information
For the beam element of Figure P4.5, compute the reaction force and moment at
node 1. Compute the maximum bending stress assuming beam height is
2
h
. How
does the stress value compare to the maximum stress obtained by the strength of
materials approach?
4.6
Repeat Problem 4.5 using two equal length elements. For this problem, let
E
4.7
=
0
.
1
in.
4
,
L
=
30
×
10
6
psi,
I
z
=
10
in.,
q
o
=
10
lb/in.
Consider the beam shown in Figure P4.8. What is the minimum number of
elements that can be used to model this problem? Construct the global nodal load
vector corresponding to your answer.
4.8
P
q
o
L
3
L
3
L
3
Figure P4.8
4.9
What is the justification for writing Equation 4.36 in the form of Equation 4.37?
4.10-4.15
For each beam shown in the associated figure, compute the deflection at
the element nodes. The modulus of elasticity is
E
=
10
×
10
6
psi and the
cross section is as shown in each figure. Also compute the maximum bending
stress. Use the finite element method with the minimum number of elements
for each case.
500 lb
10 in.
30 in.
2 in.
1 in.
Figure P4.10
10 lb/in.
0.5 in.
0.5 in.
10 in.
10 in.
Figure P4.11
45 N/m
40 mm
30 mm
0.3 m
0.3 m
10 mm
Figure P4.12
