Description
Determine the deflection of a cantilever beam under a torque applied to its free end. The beam has a length of 100" and a rectangular cross section of dimensions 2"X1".
The material is nonlinear elastic (defined by a stress-strain curve).
File Name
Browse to drive
letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS
version\samples\Simulation
Examples\Verification\Nonlinear_Static_6.SLDPRT and open the
file.
Material Model
Nonlinear elastic. The material has the following stress-strain curve:
| Stress (psi) |
Strain |
| 0 |
0 |
| 3E3 |
0.001 |
| 60.003E6 |
2.001 |
Material Properties
Poisson's ratio = 0.
Restraints and Loads
The bar is fixed at one end and a torque is applied at the other end as follows:
Results
| Deflection at free end (inch) |
Linear elasticity range
(Torque = 2000 lb-in) |
Nonlinear elasticity range
(Torque = 7000 lb-in) |
| Theory |
-4.9998 |
-7.5156 |
| SOLIDWORKS Simulation |
-4.9738 |
-7.437 |
The theoretical solution is based on thin beam theory.