Structural Analysis (Aero 103)
Post Title. 11/24/2010
 
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Elasticity:

When exerting a force on an isotropic material , the deformation of its dimensions is proportional to the exerted force .

There are Two Types of deformations:

1. Elastic: the material gains back its original shape

2. Plastic: the deformation is permanent.

T=F/A

Hooke's Law: A Law stating that, in a linear system, the restoring force is proportional to the displacement of the body, acting in a direction as to restore equilibrium.

Where

F = restoring force [N]

k = spring constant [Nm-1]

x = elongation of material [m]



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Hook’s law:

The exerted force on a body is directly proportional with the change in its length.

F=kΔX E=KLo/A


Generalized hook’s law:

εx=Tx/E-σTy/E-σTz/E                               

εy=1/E [Ty-σ(Tx+Tz)]

εz=1/E [Tz-σ(Ty+Tz)]




For More Information See also :

This Document is from Mit Physics department and its free to view ,
Author : H.Frank Morrison

 


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