How do I calculate the axial deformation of a member given force and dimensions?

[princejan7]

---Quote---
*1. Homework Statement *

http://postimg.org/image/yrbu7a0vb/

*2. Homework Equations *

e(elongation of a member) = (Force * Length)/(Area * Young's Modulus)


*3. The Attempt at a Solution *


Is the force P distributed so that the force on each bar is P/3 so that F2 would be (14/3)?


How do I use that value and the elongation equation to find the width of the gap?
I'm not sure what the relationship should be


thanks

 

[NascentOxygen]

In (a), the centre column just avoids contact with the beam, leaving the two outer columns to support the entire force P.

 

[haruspex]

Is the force P distributed so that the force on each bar is P/3 so that F2 would be (14/3)?

In part a)? No. When the gap is only just closed, there is not yet any force on the central pillar.
This is a question about bending moments and beam deflection. I don't see where elongation comes in before part b).

 

[NascentOxygen]

This is a question about bending moments and beam deflection.

I don't think it is. I read it as the rigid beam does not bend.

 

[haruspex]

I don't think it is. I read it as the rigid beam does not bend.

You're right - sorry. I completely misread it.