E12 : Eigenvalue Analysis of a simply supported beam
- Harika Inanc (Unlicensed)
- Gokhan Alkan (Unlicensed)
Owned by Harika Inanc (Unlicensed)
A simply supported beam is analyzed to determine the fundamental frequency. Determine the fundamental frequency.
Analysis Type
2-D eigenvalue analysis (X-Z plan)
Unit System
in, lbf
Dimension
Length 80in
Element
Beam element
Material
Modulus of elasticity E = 30.0×10^6psi
Weight density γ = 0.281 lbf/in^3
Sectional Property
Rectangular cross-section: b = 2 in, h = 2 in
Boundary Condition
Node 1, 5: Constrain DX and DZ
Analysis Case
Eigenvalue analysis
App
Object Link : https://openbrim.org/objidymyvks7hfy993hllthc.project
Library
Object Link : https://openbrim.org/objid4rrxuzza7lcslvnwzvsqo.libobj
References
Thomson, W. T., (1965). “Vibration Theory and Application”, Prentice Hall, Englewood Cliffs, N. J.
| Theoretical | MIDAS | OpenBrim | Percent Difference (MIDAS vs Theoretical) | Percent Difference (OpenBrim vs Theoretical) | ||
|---|---|---|---|---|---|---|
| Mode 1 | Frequency (Hz) | 28.766 | 28.759 | 28.7451 | 0.02% | 0.07% |
| Period (sec) | 0.0348 | 0.035 | 0.0348 | 0.6% | 0% |