Transcript
Element Load Vector
Classic Bending Theory gives us the following sign convention.
Kateri Gilliland [email protected]
Wed: 12 Noon- 1:00pm Thurs: 2:00pm - 3:00pm
Michael Au Yeung [email protected]
Tue: 2:00pm - 3:00pm Wed: 2:00pm - 3:00pm
Boundary Conditions
Boundary Conditions Displacements =
X stress distributions =
Distributed Load
Mechanical work due to distributed loads: Equivalent Work at nodes for distributed loads: where F1q , F2q are the equivalent forces at nodes 1 and 2. Substituting the discretized displacement function, the work integral is:
v1 = v3 = 0.
2
3
4
5
6
0
0
U
U
U
U
U
2
3
4
5
6
0
0
U
U
U
U
U
Solving the 5x5 matrix gives us.