Element Load Vector

Classic Bending Theory gives us the following sign convention.

Kateri Gilliland kgillila@uw.edu

Wed: 12 Noon- 1:00pm Thurs: 2:00pm - 3:00pm

Michael Au Yeung wantai@uw.edu

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.