Simply Supported Beam Q: Is It Possible?

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Discussion Overview

The discussion revolves around the concept of a simply supported beam in the context of statics, particularly focusing on whether a beam resting on two rollers qualifies as simply supported. Participants explore the implications of boundary conditions and reactions at the supports.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions if a beam laid on two rollers is considered simply supported.
  • Another participant confirms that it is simply supported but notes that the beam can move horizontally on the rollers and suggests fixing one end to prevent this movement.
  • A participant seeks clarification on boundary conditions for a beam under transverse load, specifically asking if additional conditions are necessary beyond the deflection being zero at the supports.
  • Another participant proposes that the slope of the deflected beam should also be zero under load.
  • In response to the slope condition, a participant reiterates the question of whether the beam remains simply supported.
  • One participant humorously remarks that the beam is simply supported unless the load breaks it, while also noting that the slope will not be zero at the supports since a simply supported beam is free to rotate there.

Areas of Agreement / Disagreement

Participants generally agree on the definition of a simply supported beam but express differing views on the implications of boundary conditions and the behavior of the beam under load. The discussion remains unresolved regarding the necessity of additional boundary conditions.

Contextual Notes

There are unresolved aspects regarding the specific boundary conditions required for a simply supported beam under transverse load, and the implications of the beam's ability to rotate at the supports.

lost_in_space
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hello,

I have got a question concerning statics.

is a beam that is layed onto two rolls (of equal size) simply supported ?

I would be glad if anyone could answer this question.
 
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Yes, although obviously the whole beam can move horizontally on the rollers.

It would be usual to fix one end in some way to prevent this.
If the fixed end is still free to rotate the support is then known as pinned.

In terms of reactions, simply supported means you can have a vertical reaction at each support, but a horizontal reaction at only one of them.

go well
 
Studiot said:
Yes, although obviously the whole beam can move horizontally on the rollers.

It would be usual to fix one end in some way to prevent this.
If the fixed end is still free to rotate the support is then known as pinned.

In terms of reactions, simply supported means you can have a vertical reaction at each support, but a horizontal reaction at only one of them.

go well

Thank you very much. Just to be shure that i got it right:


If a beam (say from x = 0 to x=L) is placed layed on two rolls (located at x= 0 and x= L) and i have transverse load. If w denotes the deflection of the beam i have to impose the

boundary conditions w(0) = w(L) = 0 (are there additional BC necessary ? )
 
You may also want the condition that the slope of the deflected beam will be zero under the load.
 
Studiot said:
You may also want the condition that the slope of the deflected beam will be zero under the load.

yes, but is the beam then simply supported ?

thx.
 
yes, but is the beam then simply supported ?




Yes, unless the load breaks the beam!

The slope will clearly not be zero at the supports, since a simply suported beam is free to rotate there.
 

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