Nonlinear Solution of Steel Arch Supports

Abstract:

Steel arch supports are used widely in long workings in coal and ore mines. Their displacements are in difficult conditions often comparable with the size of the structure. Changes in the geometry of whole arch support including changes in the shape of a rod cross-section require geometric and physical nonlinear solutions. The paper is focused on methods for the geometric and physical nonlinear analyses of unyielding steel arch supports which are consisting of rolled open cross-sections. These methods are based on the knowledge of effective flexural rigidity which is defined as the function of acting internal forces. The direct stiffness method was used to solution first, but this method has some computational limitations. The modified force method was used for calculation as the second computational variant. This method can be successfully applied when the displacements are large. The results of the numerical analyses are compared with the values which have been experimentally obtained using strain-stress test of unyielding steel arch supports.

• Periodical: Key Engineering Materials (Volume 713)
• Pages: 119-122
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.713.119
• Online since: September 2016
• Authors: Lenka Koubova*, Petr Janas, Martin Krejsa
• Keywords: Direct Stiffness Method, Effective Flexural Rigidity, Geometric Nonlinearity, Nonlinear Solution, Physical Nonlinearity, Secant Method, Steel Arch Supports, Virtual Unit Moments

References

[1] P. Grochol: Assessment of the functional properties of the profiles K-21, K-24 and P-28. Tech. Rep. B 00575, Ostrava, Czech Republic (1996). (in Czech).

[2] P. Janas, I. Kolos and R. Fojtik: Classification of steel mine support sections as per EC3 classification. Advanced Materials Research, Vol. 969 (2014) 63-66, DOI: 10. 4028/www. scientific. net/AMR. 969. 63.

DOI: 10.4028/www.scientific.net/amr.969.63

[3] P. Janas, L. Koubova and M. Krejsa: Load carrying capacity of steel arch reinforcement taking into account the geometrical and physical nonlinearity. Applied Mechanics and Materials, Vol. 821 (2016).

DOI: 10.4028/www.scientific.net/amm.821.709

[4] Z. Kala and J. Kala: Variance-Based Sensitivity Analysis of Stability Problems of Steel Structures using Shell Finite Elements and Nonlinear Computation Methods. In: Proceedings of the 2nd WSEAS International Conference on Engineering Mechanics, Structures and Engineering Geology (2009).

DOI: 10.1063/1.3636974

[5] P. Kotes and J. Vican: Recommended Reliability Levels for the Evaluation of Existing Bridges According to Eurocodes. Structural Engineering International, Vol. 23, Issue 4 (2013) 411-417, DOI: 10. 2749/101686613X13627351081678.

DOI: 10.2749/101686613x13627351081678

[6] K. Kotrasova, I. Grajciar, E. Kormanikova: Dynamic Time-History Response of Cylindrical Tank Considering Fluid - Structure Interaction Due to Earthquake. Applied Mechanics and Materials, Vol. 617 (2014).

DOI: 10.4028/www.scientific.net/amm.617.66

[7] J. Kralik: Safety of nuclear power plants against the aircraft attack. Applied Mechanics and Materials, Vol. 617 (2014) 76-80, DOI: 10. 4028/www. scientific. net/AMM. 617. 76.

DOI: 10.4028/www.scientific.net/amm.617.76

[8] M. Major and I. Major: Acceleration wave in a thin segmental hyperelastic rod. Archives of Civil and Mechanical Engineering, Vol. 10, Issue 1 (2010) 59-67, ISSN: 1644-9665.

DOI: 10.1016/s1644-9665(12)60130-7

[9] A. Markopoulos, P. Janas and J. Podesva: Effective bending stiffness of TH-29 profile. In: Proceedings of the conference New Trends in Statics and Dynamics of Building, Slovak University of Technology in Bratislava (2010).

[10] L. Randyskova and P. Janas: Non-Linear Solution of Steel Arc Reinforcement with Influence of Passive Forces. Transactions of the VSB – TUO, Civil Engineering Series, Vol. 11, Issue 1 (2011) 1–6, ISSN: 1804-4824, DOI: 10. 2478/v10160-011-0012-0.

DOI: 10.2478/v10160-011-0012-0