Ismail, Thamrin and Hasan, Basri (2007) *Exact And Numerical Solution of Pure Torsion Shaft.* NAE 2007, 5 (1). IC STAR, University of Sumatera Utara, Medan, Indonesia. ISBN 979-96139-6-7

## Abstract

Exact analysis on complex structure often meets with problems since it needs a long complicated mathematical differential solution. Instead of using this, another method called finite element method is introduced i.e. a numerical solution undergone by discretion structure of infinite in to finite element that continuously build mesh. Application of pure torsion on prismatic can be done to a certain part of cross sectional of shaft loaded by torque subject to couple transmission, therefore in its manufacturing and fabrication process, stress analysis is significant factor to take into consideration since one of shaft failures may be caused by excessive stress distribution on some area. The comparison of exact and numeric solution (FEM) on pure torsion shaft which holds torsion 2,5 Nm and whose dimension is major axis (a) and minor axis (b) is 1,2375 x 10-2 m and 1,05 x 10–2 m respectively, and prismatic length (l) = 9,845 x 10-2 m. Mechanical Properties i.e. shear modulus (G), Young modulus (E), yield point (Yield), each 8,02 x 1011 Pa; 2,07 x 10 11 Pa; 4,14 x 108 Pa, respectively and Poisson and Hardening ratio; (= 0,29) and 800. Exact and Finite Element analysis have the same characteristic of maximum shear stress on boundary cross sectional that is closest from centre point of torsion (Gravity Centre). Comparative exact result to FEM has divergent deviation to maximum shear stress

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