Elements of Matrix and Stability Analysis of Structures------khanna
Part-I
*Statical Indeterminacy *Degree of freedom *Solution of
equations *Sign convention *Energy method for establishing stiffness
matrics *Equivalent joint loads *Computation of reactions
Part-II
*Basic
concepts of matrix analysis of structures *Deflections of determinate
structures *Statically indeterminate system *Stress due to lack of fit
and temperature *Displacement method of analysis *Direct stiffness
method *Frames with sloping members *Grid analysis *Stiffness matrix
through potential energy *Unstable elements *Conventional Rayleigh-Ritz
Method (CRRM-1908) *Improved Rayleigh-Ritz Method (IRRM-1994)
*Additional information on Rayleigh-Ritz Method *Central deflection of
simply supported beams *Central deflection of fixed beams *Special
problems
Part-III
*Introduction *The Euler columns *Simple
stability problems *Generation of shape functions *Double integration
method *Single integration method(1997) *Centre of gravity method
*Method of weighted moment of interia *Lower bound solution for
non-prismatic euler columns *Upper bound solution for euler columns
*Work method for euler columns *Moment integration concept *Method of
successive approximation *Timoshenko's energy method *Applications of
potential energy concepts columns (1998) *Stodola’s method *Questions
and answers in Structural engineering *Auxiliary stability functions
*Distinct stability functions *Solved exercises
