Exact and Numerical Solution of Pure Torsional Shaft

Based on the exact and numerical analysis on complex structure, we analyzed characteristic of maximum shear stress on boundary cross sectional that is closest from centrepoint of torsion (Gravity Centre). This paper deals with the comparison of exact and numeric solution on pure torsion shaft which holds torsion 2,5 Nm, dimension is major axis, a and minor axis, b are 1.2375 x 10-2 m and 1.05 x 10-2 m, and prismatic length, l is 9.845 x 10-2 m, respectively. The mechanical properties of the torsional shaft such as shear modulus, G, Young modulus, E, yield point, aYidi^ are considered as 8.02 x 1011 Pa, 2.07 x 10 11 Pa, 4.14 x 108 Pa, respectively. The Poisson and Hardening ratio are as 0.29 and 800, respectively. It is found that the exact and finite element analysis have the same characteristic of maximum shear stress on boundary cross sectional that are closest from centre point of torsion i.e. gravity of the centre. This comparative study explored the exact simulation and numerical simulation by FEM has the divergent deviation to maximum shear stress