Graduate Thesis Or Dissertation
 

Experimental verification and nonlinear modeling of truss-plate joints by Runge-Kutta numerical technique

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  • The growing use of light-frame wood trusses in the residential and commercial construction has generated the need for general analysis procedures for predicting deformations and ultimate load of truss-plate joints, which are the basis for accurate evaluation of structural performance and design of complete truss assemblies. This dissertation was aimed at developing such a model. The developed model incorporates mechanisms of load transfer from one wood member through the truss plate and into another wood member and predicts the load-deflection trace and ultimate load. It treats plate teeth as beams on elastic foundation and applies Runge-Kutta numerical analysis to solve the governing differential equations. The nonlinear response of the foundation is accounted for by a linear step-by-step procedure. Additional theoretical investigation consisted of using an existing program to perform finite element analysis of plate joints to determine the interaction of plate teeth arranged in columns or in rows. This analysis showed some interaction among teeth in columns and none among teeth in rows. To develop data for model verification, tests were performed on joints made of Douglas-fir lumber and 20-gauge truss plates with die-punched teeth -for various grain and plate orientations. Foundation moduli of test joints were obtained by embedment testing under compression loads. Comparisons between theoretical and experimental load-deflection traces show acceptable agreement. Ultimate load was accurately predicted for specimens which failed as a result of tooth withdrawal, but not for either plate failure or wood failure perpendicular-to-grain, neither of which was included in the model. Possible future model improvements should consist of incorporating these two failure modes and a mechanism associated with moment transfer through plate joints.
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