Civil Engineering Reference
In-Depth Information
1200 lb
30 in.
20 lb/in.
2
1500 in.
lb
3
30 in.
1
Figure P4.21
a.
The global stiffness matrix.
b.
The global load vector.
c.
The displacement components of node 2.
d.
The reaction forces and moments at nodes 1 and 3.
e.
Maximum stress in each element.
Repeat Problem 4.21 for the case in which the connection at node 2 is a
pin joint.
4.22
The frame structure shown in Figure P4.23 is the support structure for a hoist
located at the point of application of load
W
. The supports at
A
and
B
are
completely fixed. Other connections are welded. Assuming the structure to be
modeled using the minimum number of beam-axial elements:
4.23
W
A
B
Figure P4.23
a.
How many elements are needed?
b.
What is the size of the assembled global stiffness matrix?
c.
What are the constraint (boundary) conditions?
d.
What is the size of the reduced global stiffness matrix after application of the
constraint conditions?
e.
Assuming a finite element solution is obtained for this problem, what steps
could be taken to judge the accuracy of the solution?
