The stiffness of an axially loaded bar is defined as________(E = modulus of elasticity, A = Area of cross section of bar, L = Length of bar)

Explanation:

Stiffness (k):

It is defined as the ability of the material to resist the deformation of an object.

Stiffness is also defined as the ratio of load applied to the deflection.

\(k= \frac{P}{\delta}\)

Deformation of axially loaded members:

The deformation of a structural member with known geometry and subjected to an axial load can be determined by the equation of the form,

\(\delta = \frac{{PL}}{{AE}}\)

\(\therefore \delta = \frac{P}{{\frac{{AE}}{L}}}\)

\({\frac{{AE}}{L}} = \frac{P}{{\delta}} =k\)

The term \(\frac{{AE}}{L}\) is defined as the stiffness of the bar.

where AE = Axial rigidity and L = Length of member