Technical Papers
Feb 17, 2015

Incorporated Strength Capacity Technique for Limit Load Evaluation of Trusses and Framed Structures under Constant Loading

Publication: Journal of Structural Engineering
Volume 141, Issue 11

Abstract

To overcome the difficulties encountered by the elastic modulus adjustment procedures applied to the ultimate bearing capacity analysis of framed structures under combined action of both constant and varying live loads, an efficient incorporated strength capacity technique is proposed in this work. A new structural analysis model is developed with totally different distributions of loads and resistance from the original model by incorporating the constant load effects into the sectional strength capacity of components in framed structures. The element bearing ratio (EBR) is defined according to the modified structural model on the basis of the generalized yield function of spatial beam element. The uniformity of the EBR is presented in terms of the EBR distribution characteristics, on the basis of which the reference EBR (REBR) is defined as a dynamic threshold to identify the highly stressed elements with the EBR greater than the REBR. Subsequently, an adaptive strategy of elastic modulus adjustment is presented for the ultimate bearing capacity analysis of framed structures under combined action of constant and live loading by means of the principle of deformation energy conservation. Three numerical examples including both trusses and framed structures are presented to demonstrate the applicability and accuracy of the proposed methodology.

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Acknowledgments

The financial support from the National Natural Science Foundation of China (51168003, 51368006), the Major Project of Guangxi Natural Science Foundation (2012GXNSFEA053002), Guangxi Natural Science Foundation (2010GXNSFD169008, 2013GXNSFBA019237), and Research Program of Science and Technology of Guangxi Higher Education (2013YB009) is gratefully acknowledged. The use of the ANSYS 12.0 software through an educational license is also acknowledged.

References

Adibi-Asl, R., Fanous, I. F. Z., and Seshadri, R. (2006). “Elastic modulus adjustment procedures—Improved convergence schemes.” Int. J. Press. Vessels Pip., 83(2), 154–160.
Adibi-Asl, R., and Seshadri, R. (2007). “Local limit-load analysis using m-beta method.” J. Pressure Vessel Technol., 129(2), 296–305.
Alashti, R. A., Rahimi, G. H., and Poursaeidi, E. (2008). “Plastic limit load of cylindrical shells with cutouts subject to pure bending moment.” Int. J. Press. Vessels Pip., 85(7), 498–506.
ANSYS 12 [Computer software]. Ansys, Canonsburg, PA.
ASME(American Society of Mechanical Engineers). (2013). “Section VIII: Rules for construction of pressure vessels.” Division 1, Boiler and pressure vessel code (BPVC), New York.
Chen, L. J., Liu, Y. H., Yang, P., and Cen, Z. Z. (2008). “Limit analysis of structures containing flaws based on a modified elastic compensation method.” Eur. J. Mech. A. Solids, 27(2), 195–209.
Dhalla, A. K., and Jones, G. L. (1986). “ASME code classification of pipe stresses: A simplified elastic procedure.” Int. J. Press. Vessels Pip., 26(2), 145–166.
Fanous, I. F. Z., and Seshadri, R. (2009). “Limit load analysis using the reference volume concept.” Int. J. Press. Vessels Pip., 86(5), 291–295.
Hamilton, R., and Boyle, J. T. (2002). “Simplified lower bound limit analysis of transversely loaded thin plates using generalised yield criteria.” Thin Walled Struct., 40(6), 503–522.
Hamilton, R., Mackenzie, D., Shi, J., and Boyle, J. T. (1996). “Simplified lower bound limit analysis of pressurised cylinder/cylinder intersections using generalised yield criteria.” Int. J. Press. Vessels Pip., 67(2), 219–226.
Jones, G. L., and Dhalla, A. K. (1981). “Classification of clamp-induced stresses in thin-walled pipe.” Proc., ASME Pressure Vessels Piping, Vol. 81, American Society of Mechanical Engineers, New York, 17–23.
Krabbenhøft, K., Lyamin, A. V., and Sloan, S. W. (2007). “Formulation and solution of some plasticity problems as conic programs.” Int. J. Solids Struct., 44(5), 1533–1549.
Lin, Y. H., Yang, L. F., and Zhou, J. J. (2011). “Elastic modulus reduction method for limit analysis of structures under dead load.” J. Guangxi U. (Nat. Sci.), 36(1), 45–53 (in Chinese).
Mackenzie, D., and Boyle, J. T. (1992). “A method of estimating limit loads by iterative elastic analysis. I. Simple examples.” Int. J. Press. Vessels Pip., 53(1), 77–95.
Mackenzie, D., Boyle, J. T., and Hamilton, R. (2000). “The elastic compensation method for limit and shakedown analysis: A review.” J. Strain Anal. Eng., 35(3), 171–188.
Mackenzie, D., Nadarajah, G., Shi, J., and Boyle, J. T. (1993). “Simple bounds on limit loads by elastic finite element analysis.” J. Pressure Vessel Technol., 115(1), 27–32.
Mackenzie, D., Shi, J., and Boyle, J. T. (1994). “Finite element modeling for limit analysis by the elastic compensation method.” Comput. Struct., 51(4), 403–410.
Marin-Artieda, C. C., and Dargush, G. F. (2007). “Approximate limit load evaluation of structural frames using linear elastic analysis.” Eng. Struct., 29(3), 296–304.
Ponter, A. R. S., and Carter, K. F. (1997). “Limit state solutions, based upon linear elastic solutions with a spatially varying elastic modulus.” Comput. Meth. Appl. Mech. Eng., 140(3–4), 237–258.
Seshadri, R. (1995). “Inelastic evaluation of mechanical and structural components using the generalized local stress strain method of analysis.” Nucl. Eng. Des., 153(2–3), 287–303.
Seshadri, R., and Indermohan, H. (2004). “Lower bound limit load determination: the m-beta multiplier method.” J. Pressure Vessel Technol., 126(2), 237–240.
Shi, J., Boyle, J. T., Mackenzie, D., and Hamilton, R. (1996). “Approximate limit design of frames using elastic analysis.” Comput. Struct., 61(3), 495–501.
Tong, R. C., and Wang, X. C. (1997). “Simplified method based on the deformation theory for structural limit analysis—I. Theory and formulation.” Int. J. Press. Vessels Pip., 70(1), 43–49.
Yang, L. F., Li, Q., and Zhang, W. (2014). “Homogeneous generalized yield criterion based elastic modulus reduction method for limit analysis of thin-walled structures with angle steel.” Thin Walled Struct., 80, 153–158.
Yang, L. F., Yu, B., and Ju, J. W. (2012a). “System reliability analysis of spatial variance frames based on random field and stochastic elastic modulus reduction method.” Acta Mech., 223(1), 109–124.
Yang, L. F., Yu, B., and Qiao, Y. P. (2009). “The elastic modulus reduction method for limit load evaluation of framed structures.” Acta Mech. Solida Sin., 22(2), 109–115.
Yang, L. F., Zhang, W., Yu, B., and Liu, L. W. (2012b). “Safety evaluation of branch pipe in hydropower station using elastic modulus reduction method.” J. Pressure Vessel Technol., 134(4), 1–7.
Yang, P., Liu, Y., Ohtake, Y., Yuan, H., and Cen, Z. (2005). “Limit analysis based on a modified elastic compensation method for nozzle-to-cylinder junctions.” Int. J. Press. Vessels Pip., 82(10), 770–776.
Yu, B., and Yang, L. F. (2010a). “Elastic modulus reduction method for limit analysis considering initial constant and proportional loadings.” Finite Elem. Anal. Des., 46(12), 1086–1092.
Yu, B., and Yang, L. F. (2010b). “Elastic modulus reduction method for limit analysis of thin plate and shell structures.” Thin Walled Struct., 48(4–5), 291–298.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 141Issue 11November 2015

History

Received: Jun 11, 2014
Accepted: Dec 9, 2014
Published online: Feb 17, 2015
Discussion open until: Jul 17, 2015
Published in print: Nov 1, 2015

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Authors

Affiliations

Lufeng Yang
Professor, Key Laboratory of Disaster Prevention and Structural Safety of China Ministry of Education, School of Civil Engineering and Architecture, Guangxi Univ., Nanning 530004, China.
Bo Yu, M.ASCE [email protected]
Associate Professor, Key Laboratory of Disaster Prevention and Structural Safety of China Ministry of Education, School of Civil Engineering and Architecture, Guangxi Univ., Nanning 530004, China (corresponding author). E-mail: [email protected]
J. Woody Ju, F.ASCE
Professor, Dept. of Civil and Environmental Engineering, Univ. of California, Los Angeles, CA 90095.

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