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ON THE EFFECTS OF CIRCULAR BOLT PATTERNS ON THE ...

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CHAPTER 7<br />

7. SUMMARY, C<strong>ON</strong>CLUSI<strong>ON</strong>, AND RECOMMENDATI<strong>ON</strong>S<br />

7.1 Summary<br />

The behaviors of the extended end-plate connections with both circular and square bolt pattern<br />

configuration under static and cyclic loads are investigated. One hundred eighty two three-dimensional<br />

nonlinear finite element models were developed and analyzed by using Abaqus 6.10-1 finite element<br />

software. A comprehensive test matrix was developed to investigate the effectiveness of various<br />

geometric parameters on the overall behavior of the connections. The parametric study conducted in this<br />

research included seven bolt diameters, six end-plate thicknesses, three beam sizes, and two different<br />

bolt pattern configurations bases on most commonly used range of variables .<br />

The combined hardening plasticity model was used in order to model the behavior of the Grade-50<br />

hot-rolled steel elements during the monotonic and cyclic loading. Isotropic hardening was used to model<br />

the material properties of the high strength steel bolts.<br />

Small sliding surface-to-surface was considered for all the contacts. The welds were assumed to be<br />

rigid and modeled by tie-contact algorithm. The frictional surfaces accompanied by tangential force were<br />

modeled by tangential-contact algorithm. The surface contact between the end-plate and column was<br />

modeled by frictional contact using penalty stiffness.<br />

To validate the numerical results obtained from the finite element analysis, the results obtained from<br />

three full-scale experimental T-Stubs tests and five semi-rigid connections tests were collected. The<br />

numerical models for each specimen was developed using the corresponding geometric and material<br />

values. A close agreement between the numerical results and the experimental results were reported.<br />

The regression analysis was conducted on the numerical results obtained from the finite element<br />

analysis and the equations were developed to predict and model the hysteresis behavior of the extended<br />

end-plate connections. The dependant variables i.e. moment capacity of the connection at yield (My),<br />

139

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