What is the equation for the flexibility factor (f)?

The flexibility factor, often represented as f, is defined as the ratio of the length of a structural member to the product of its modulus of elasticity (E) and its cross-sectional area (A). This relationship captures how much a member will deform under a given load, reflecting its ability to flex or bend.

When formulated as f = L/(EA), L represents the length of the member, E denotes the modulus of elasticity, and A stands for the cross-sectional area. This equation emphasizes that flexibility increases with longer lengths or lower stiffness (represented by the product EA).

In structural engineering, understanding the flexibility factor is crucial for analyzing deflections and designing components that can safely carry applied loads without excessive deformation. This makes the equation for the flexibility factor vital in various engineering applications, particularly in analyzing and design of beams and structural elements.

This explanation underscores the importance of the relationship among length, elasticity, and cross-sectional area in determining a structure's flexibility under load.