A "solid guide" to this volume must highlight its transition from elastic theory to inelastic behavior. The authors use the Moment-Curvature-Thrust (
). The key distinction is the interaction between these forces, leading to "P-delta" ( Theory of Beam-Columns, Volume 1: In-Plane Beha...
The book establishes the theoretical foundation for beam-columns, which differ from pure beams or columns because they must resist both axial force ( ) and bending moment ( A "solid guide" to this volume must highlight
EId4ydx4+Pd2ydx2=q(x)cap E cap I d to the fourth power y over d x to the fourth power end-fraction plus cap P d squared y over d x squared end-fraction equals q open paren x close paren EIcap E cap I is the flexural rigidity. is the axial compressive load. is the transverse loading. 3. Analyze In-Plane Stability is the axial compressive load
Mmax=M01−PPecap M sub m a x end-sub equals the fraction with numerator cap M sub 0 and denominator 1 minus the fraction with numerator cap P and denominator cap P sub e end-fraction end-fraction M0cap M sub 0 is the primary moment and Pecap P sub e is the Euler buckling load ( 4. Evaluate Plastic and Inelastic Behavior
) effects where axial loads amplify initial moments as the member deflects. 2. Formulate Governing Equations