Simply Supported Beam Q: Is It Possible?

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A beam resting on two rollers is considered simply supported, allowing vertical reactions at both supports but only a horizontal reaction at one. To prevent horizontal movement, one end is typically fixed, which can be a pinned support if it remains free to rotate. When analyzing deflection, boundary conditions such as w(0) = w(L) = 0 are necessary, along with conditions for the slope of the beam under load. However, the slope at the supports will not be zero since the beam can rotate there. Overall, the discussion clarifies the characteristics and conditions of simply supported beams in statics.
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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