Verification and Expansion of Single-Degree-of-Freedom Transformation Factors for Beams Using a Multi-Degree-of-Freedom Non-linear Numerical Analysis Method

Author

Takayuki Yokoyama, California Polytechnic State University, San Luis ObispoFollow

DOI: https://doi.org/10.15368/theses.2011.196
Available at: https://digitalcommons.calpoly.edu/theses/638

Date of Award

11-2011

Degree Name

MS in Architecture - Architectural Engineering

Department/Program

Architecture

Advisor

Graham Archer

Abstract

The single-degree-of-freedom (SDOF) transformation factors as tabulated in John Biggs’ textbook (Biggs 1964) are accepted as the equivalent factors for simplifying and analyzing a component's response to blast. The study validates the stiffness and mass transformation factors through multi-degree-of-freedom (MDOF) numerical methods. After validating the transformation factors, the MDOF numerical method is used to create new stiffness and mass transformation factors for loading cases not already included in Biggs’ textbook.

The validated factors, as well as the newly developed factors are used in SDOF analyses. The deflections from the SDOF responses accurately predict the MDOF responses as long as the component behaves elastically; however, the deflections diverge when inelastic behavior is involved. The diverged deflections indicate that the SDOF inelastic response analysis method can be improved.