×
INTELLIGENT WORK FORUMS
FOR ENGINEERING PROFESSIONALS

Log In

Come Join Us!

Are you an
Engineering professional?
Join Eng-Tips Forums!
  • Talk With Other Members
  • Be Notified Of Responses
    To Your Posts
  • Keyword Search
  • One-Click Access To Your
    Favorite Forums
  • Automated Signatures
    On Your Posts
  • Best Of All, It's Free!
  • Students Click Here

*Eng-Tips's functionality depends on members receiving e-mail. By joining you are opting in to receive e-mail.

Posting Guidelines

Promoting, selling, recruiting, coursework and thesis posting is forbidden.

Students Click Here

Jobs

Energy equation and change in potential energy of a column?

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.

RE: Energy equation and change in potential energy of a column?

Physics, Parts I and II by Halliday, J. Wiley.

RE: Energy equation and change in potential energy of a column?

"bending energy" for "vertical column" axially loaded = none ?

Quando Omni Flunkus Moritati

RE: Energy equation and change in potential energy of a column?

(OP)
Thank you for the reply, both of you.

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?

heard of L/EA ? (the stiffness of an axially loaded rod (or column)

Quando Omni Flunkus Moritati

RE: Energy equation and change in potential energy of a column?

(OP)
Thank you rb1957.
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
?

Red Flag This Post

Please let us know here why this post is inappropriate. Reasons such as off-topic, duplicates, flames, illegal, vulgar, or students posting their homework.

Red Flag Submitted

Thank you for helping keep Eng-Tips Forums free from inappropriate posts.
The Eng-Tips staff will check this out and take appropriate action.

Reply To This Thread

Posting in the Eng-Tips forums is a member-only feature.

Click Here to join Eng-Tips and talk with other members!


Resources