The figure shows a vertical rod of length L pinned on top. A force F directed vertically downwards acts on the free end of the rod resulting in the elongation of the rod by a factor delta. The parameters of the rod are A and E.

For axial members, the relationship between the internal force in the member and the member's deformation can be expressed as:

δ=FLAE

where δ= deformation, F= internal force, L= length, A= area, and E= elastic modulus. This relationship is termed the force-deformation relationship.

Force-deformation relationships can be written for rods (1) and (2) as:

δ1=F1L1A1E1         δ2=F2L2A2E2