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Introduction to Stiffness Analysis

11 The Stiffness method of Analysis is the basis of all commercial structural Analysis of this chapter will be development of Stiffness equations that only take into account bending deformations, , ignore axial member, slope-deflection the Stiffness method of Analysis , we write equilibrium equationsin terms of unknown joint (node) Introduction to Stiffness Analysis2displacements. The number of unknowns in the Stiffness method of Analysis is known as the degree of kinematic indeterminacy, which refers to the number of node/ joint displacements that are unknown and are needed to describe the displaced shape of the major advantageof the Stiffness method of Analysis is that the kinematic degrees of freedom are and Terminology3 Positive Sign Convention:Counterclockwise moments and rotations along with transverse forces and displacements in the

restrained, i.e., the identified displacements in step 1 all equal zero. 3. Calculate the member fixed-end forces in this kinematically restrained state at the nodes/ joints of the restrained structure due to the member applied loads. Tables of member fixed-end forces due to member loads for the kinematically restrained members are available ...

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