Effects of Distributed Load on the Static Behaviour of tile Parabolic Arches

분포하중이 포물선 아치의 정적 거동에 미치는 영향

  • 박근수 (전남대학교 대학원, 금광기업(주)) ;
  • 조진구 (전남대학교 농과대학, 농업과학기술 연구소)
  • Published : 2003.03.01

Abstract

This study aims to investigate the effect of partially distributed loads on the static behavior of parabolic arches by using the elastic-plastic finite element model. For this purpose, the vertical, the radial, and the anti-symmetric load cases are considered, and the ratio of loading range and arch span is increased from 20% to 100%. Also, the elastic-visco-plastic analysis has been carried out to estimate the elapse time to reach the stable state of arches when the ultimate load obtained by the finite element analysis is applied. It is noted that the ultimate load carrying capacities of parabolic arches are 6.929 tf/$m^2$ for the radial load case, and 8.057 tf/$m^2$ for the vertical load case. On the other hand, the ultimate load is drastically reduced as 2.659 tf/$m^2$ for the anti-symmetric load case. It is also shown that the maximum ultimate load occurs at the full ranging distributed load, however, the minimum ultimate loads of the radial and vortical load cases are obtained by 2.336 tf/$m^2$, 2.256 tf/$m^2$, respectively, when the partially distributed load is applied at the 40% range of full arch span.

Keywords

References

  1. Austin, Walter J., et al.,1982, Numerical Bending Analysis of Arches, Journal of the structural division, ASCE, Vol 108, No. ST4, pp.849-867
  2. Cho, Jin Goo, 1997, Static and Dynamic Analysis of Reinforced Concrete Axisymmetric Shell on the Elastic Foundation(III), Journal of the Korean Society of Agricultural Engineers, 39(3) : 72-82. (in Korean)
  3. Cho, Jin Goo, 2001, Dynamic Behavior of the Plane Circular Arches with the Shape Imperfections, Journal of the Korean Society of Agricultural Engineers, 43 (3) : 85-93. (in Korean)
  4. Cho, Jin Goo, Keun Soo Park, 2001, Effects of Partially Distributed Step Load on Dynamic Response of the Plane Circular Arches, Journal of the Korean Society of Agricultural Engineers, 43(4) : 89-96. (in Korean)
  5. Cho, Jin Goo, Keun Soo Park, 2002, The Ultimate Load Capacity of the Parabolic Arches by the Elasto-plastic Model, Journal of the Korean Society of Agricultural Engineers, 44(3) : 1-8. (in Korean)
  6. Howard B. Harrison, 1963, In-Plane Stability of Parabolic Arches, Journal of the structural division, ASCE, Vol. 108, No. ST1., pp.195-205
  7. Komatsu, Sadao and Tatsuro Sakimoto, 1977, Ultimate Load Carrying Capacity of Steel Arches, Journal of the structural division, ASCE, Vol. 103, No. ST12, pp.2323-2336
  8. Mondkar and Powell, G. H.1977, Finite Element Analysis of Nonlinear Static and Dynamic Response, International Journal for Numerical Methods in Engineering, Vol. 11, pp.499-520
  9. Owen, D. R. J. and E. Hinton, 1980, Finite elements in plasticity
  10. Park, Jin Hwan, Woo Sung Jung, Kwang Sung Woo, 1999, The Ultimate Load Capicity of Plates by Elastic-Perfectly Plastic Model, Journal of Computational Structural Engineering Institute of Korea, 12(1) : 1-14. (in Korean)
  11. Santathadaporn, S., and Chen, W. F., 1980, Analysis of Biaxially Loaded Columns, Friz Engineering Laboratory Report No.331.12, Leihigh University, Bethlehem, Pa., Sept
  12. Zienkiewicz O. C.: The finite element method (3/e), pp.450-606, 1977