Energy equation and change in potential energy of a column?
Energy equation and change in potential energy of a column?
(OP)
I am looking for an expression for bending energy and for the change in potential energy coming from the selfweight of a vertical circular solid column, or maybe from vertical point load on top of it.
Any ideas where I could find these?
Thank you.
Any ideas where I could find these?
Thank you.





RE: Energy equation and change in potential energy of a column?
RE: Energy equation and change in potential energy of a column?
Quando Omni Flunkus Moritati
RE: Energy equation and change in potential energy of a column?
It should be "potential" energy, instead of "bending". Terribly sorry about that. So "an expression for potential energy and for the change in potential energy coming from the selfweight/or point load on top of the column" is the right sentence.
@Buggar. Thanks.
I found a preview of a book "Fundamentals of Physics Extended 9th edition" by authors Halliday, Resnik. Could that be it?
It has a chapter 8 "potential energy and conservation of energy" (in part I). This is a page 171 preview:
But this equation is a classical example of a block attached to a spring.
How could that be applied to a rod, column under compression?
RE: Energy equation and change in potential energy of a column?
Quando Omni Flunkus Moritati
RE: Energy equation and change in potential energy of a column?
So I could use the general expression for elastic potential energy? :
U(x) = (1/2) * k * x^2
k = (A*E)/L
U(x) = (1/2) * ((A*E)/L) * x^2
?
So that's the expression for elastic potential energy of axially loaded column?
The change in potential energy would be the derivative of upper expression:
U'(x) = 2 * (1/2) * ((A*E)/L) * x
U'(x) = ((A*E)/L) * x
?