This text serves as the definitive reference for understanding how combined loads affect the strength and stability of structural members before considering the three-dimensional complexities of lateral-torsional buckling found in Volume 2.
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 (
The mathematical core involves the differential equations of equilibrium for a deflected member. For an elastic beam-column, the governing equation is:
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
) effects where axial loads amplify initial moments as the member deflects. 2. Formulate Governing Equations
You can find this volume available at J. Ross Publishing for approximately $59.95.