Analytical formulation for Beam or Beam

[gskssit]

I want to know the analytical formulation for a beam or bar without crack and with crack subjected to tensile loading through mechanics approach.

 

[SteamKing]

That's a little broad. What specific analytical formulations are you looking for? Stress? Deflection? Crack propagation?

 

[gskssit]

Thank you for replying i want Derivations for all i.e Stress,Deflection,Crack propagation

 

[SteamKing]

PF really isn't the best forum for this. There are a number of sources online to help you. You are talking about material contained in a minimum of two university level courses.

Start with these articles and use google liberally:

http://en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory
http://en.wikipedia.org/wiki/Fracture_mechanics