1 / 11

Lecture 2 : Castigliano’s Energy Theorems

Lecture 2 : Castigliano’s Energy Theorems. Hans Welleman. F a. F b. F c. F x. u a. u b. u x. u c. Castigliano. Use Maxwell’s notation :. Differentiate the Work to a specific force, e.g. F x :. Elaborate …. Maxwell :. Result:. Castigliano’s 2nd theorem. Castigliano.

corbin
Télécharger la présentation

Lecture 2 : Castigliano’s Energy Theorems

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lecture 2 : Castigliano’sEnergy Theorems Hans Welleman

  2. Fa Fb Fc Fx ua ub ux uc Castigliano Work and Energy methods

  3. Use Maxwell’s notation : Differentiate the Work to a specific force, e.g. Fx: Work and Energy methods

  4. Elaborate … Work and Energy methods

  5. Maxwell : Result: Castigliano’s 2nd theorem Work and Energy methods

  6. Castigliano • Work done by external loads Aext is stored in the strain energy Ev • Differentiate the strain energy to a force at location x to find the displacement u at x Work and Energy methods

  7. F EI wmax 0,5 l 0,5 l Example Work and Energy methods

  8. Strain Energy in terms of the load Work and Energy methods

  9. Steps of the solution strategy • Castigliano : differentiate EV to a force. • EV is integral of the square of the moment distribution • so …. differentiate after integration … IS THIS SMART TO DO ?? Work and Energy methods

  10. Smart help Work and Energy methods

  11. Castigliano • Second theorem • First theorem Work and Energy methods

More Related