Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

# Nonlinear superposition model for the behavior of bolted joints

Part 2: Joints subjected to rotational loading at arbitrary angles to the grain

## Summary

A previously developed model to predict the load-slip relationship for mechanical joints using one bolt subjected to lateral loading (Part 1) was extended to incorporate the rotational resistance of joints containing two bolts. The rotation is about the long axis direction of the bolts, and considers the wood members oriented at arbitrary angles to the grain. The model utilizes nonlinear translational springs to represent the parallel and perpendicular to grain components of the reaction force present on each bolt resisting the applied moment. A series of experiments were conducted to determine the spring constants of bolted joints in axial loading and to verify the predictions of the mathematical model. Bolted joints subjected to a pure rotation were tested using combinations of steel plates and wood side members experiencing bolt reaction forces at various angles of load to grain. The results indicated an excellent agreement between theoretical predictions and experimentally obtained data.

This is a preview of subscription content, log in to check access.

## References

1. Antonides, C. E.; Vanderbilt, M. D.; Goodman, J. R. 1980: Interlayer gap effect on nailed joint stiffness. Wood Fiber 13: 41–46

2. Bodig, J.; Pellicane, P. J.; Mutuku, R. N. 1990: Nonlinear superposition model for the load-slip behavior of bolted joints in lateral load. Wood Sci. Technol. 24: 33–46

3. Foschi, R. O. 1979: Truss plate modelling in the analysis of trusses. Proceedings: Metal Plate Wood Truss Conference, Forest Products Research Society, St. Louis, Missouri1979: 88–97

4. Lightfoot, E.; LeMessurier, A. P. 1974: Elastic analysis of frameworks with elastic connections. J. Struct. Div. ASCE. 100 (ST6): 1297–1309

5. McLain, T. E. 1975: Curvilinear load-slip relations in laterally loaded nailed joints. Ph.D. disseration, Colorado State University, Ft. Collins

6. Monforton, G. R.; Wu, T. S. 1963: Matrix analysis of semi-rigidly connected frames. J. Struct. Div. ASCE. 89, (ST6): 13–42

7. Reardon, G. F. 1971: A structural analysis of frames with semi-rigid joints. Division of Forest Products Technological Paper No. 59. Commonwealth Scientific and Industrial Research Organization, Australia

8. Stone, J. L. 1980: Generalized load-slip curve for nailed connections. M.S. Thesis, Colorado State University, Ft. Collins

9. Suddarth, S. K. 1963: A detailed study of a W-truss made with metal gusset plates. Research Progress Report 50, Agricultural Experiment Station, Purdue University, Lafayette

## Author information

The authors wish to extend thanks to the Colorado State Agricultural Experiment Station for their financial support and to the Fulbright-Hayes Foundation for the educational scholarship and research funding provided to the project

## Rights and permissions

Reprints and Permissions

Pelikane, P.J., Bodig, J. & Mutuku, R.N. Nonlinear superposition model for the behavior of bolted joints. Wood Sci.Technol. 25, 113–123 (1991). https://doi.org/10.1007/BF00226811