) relationships to describe how sections behave once the material yields. This is critical for determining the ultimate strength of real-world steel and concrete structures. 5. Apply to Design Specifications
The mathematical core involves the differential equations of equilibrium for a deflected member. For an elastic beam-column, the governing equation is:
You can find this volume available at J. Ross Publishing for approximately $59.95.
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 (
PPu+CmMMu(1−P/Pe)≤1.0the fraction with numerator cap P and denominator cap P sub u end-fraction plus the fraction with numerator cap C sub m cap M and denominator cap M sub u open paren 1 minus cap P / cap P sub e close paren end-fraction is less than or equal to 1.0 ✅ Summary
) effects where axial loads amplify initial moments as the member deflects. 2. Formulate Governing Equations