Structural Engineering and Mechanics

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Closed-form solutions on bending of cantilever twisted Timoshenko beams under various bending loads

  • Chen, Wei-Ren (Department of Mechanical Engineering, Chinese Culture University)
  • Received : 2008.11.13
  • Accepted : 2009.12.18
  • Published : 2010.05.30
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Abstract

Keywords

References

  1. Carnegie, W. (1957), "Static bending of pre-twisted cantilever blading", Proc. Inst. Mech. Eng., 171, 873-894. https://doi.org/10.1243/PIME_PROC_1957_171_071_02
  2. Gimena, F.N., Gonzaga, P. and Gimena, L. (2009), "Structural matrices of a curved-beam element", Struct. Eng. Mech., 33, 307-323. https://doi.org/10.12989/sem.2009.33.3.307
  3. Reddy, J.N. (1986), Applied Functional Analysis and Variational Methods in Engineering, McGraw-Hill Book Co., Singapore.
  4. Rosen, A. (1991), "Structural and dynamic behavior of pretwisted rods and beams", Appl. Mech. Rev., 44, 483-515. https://doi.org/10.1115/1.3119490
  5. Subrahmanyam, K.B., Kulkarni, S.V. and Rao, J.S. (1980), "Static bending of pretwisted cantilever blading", Proceedings of the Indian Society of Theoretical and Applied Mechanics Twenty-Fourth Congress, Kharagpur.
  6. Tufekci, E. and Arpaci, A. (2006), "Analytical solutions of in-plane static problems for non-uniform curved beams including axial and shear deformations", Struct. Eng. Mech., 22, 131-150. https://doi.org/10.12989/sem.2006.22.2.131

Cited by

  1. Green's functions of the forced vibration of Timoshenko beams with damping effect vol.333, pp.6, 2014, https://doi.org/10.1016/j.jsv.2013.11.007
  2. Parametric Studies on Bending of Twisted Timoshenko Beams Under Complex Loadings vol.28, pp.01, 2012, https://doi.org/10.1017/jmech.2012.23