False


The given statement is false. Flexibility coefficients do not depend upon the loading of the primary structure.


Flexibility coefficients are used in the analysis of indeterminate structures. They represent the flexibility or deformability of the structure under different loading conditions. The flexibility coefficients are determined by the geometry and material properties of the structure, not by the loading conditions.


Flexibility coefficients are influenced by the following factors:

1. Geometry of the Structure: The shape, size, and configuration of the structure affect its flexibility coefficients. For example, a longer beam will have higher flexibility coefficients compared to a shorter beam.

2. Material Properties: The mechanical properties of the materials used in the structure, such as elasticity, modulus of elasticity, and Poisson's ratio, influence the flexibility coefficients. Stiffer materials will have lower flexibility coefficients.

3. Boundary Conditions: The boundary conditions at the supports of the structure also affect the flexibility coefficients. Different types of support conditions, such as fixed, pinned, or roller supports, will result in different flexibility coefficients.

4. Structural Stiffness: The overall stiffness of the structure, which depends on the arrangement and connection of its members, affects the flexibility coefficients. A more rigid structure will have lower flexibility coefficients.

5. Loading Conditions: While loading conditions do not directly determine the flexibility coefficients, they do affect the response of the structure. The flexibility coefficients are used in combination with the loading conditions to calculate the displacements, reactions, and internal forces in the structure.


In summary, flexibility coefficients are determined by the geometry and material properties of the structure, as well as the boundary conditions and structural stiffness. Loading conditions do not directly influence the flexibility coefficients.