### Abstract

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 × 10^{-2} m and 1.05 × 10^{-2} m, and prismatic length, l is 9.845 × 10^{-2} m, respectively. The mechanical properties of the torsional shaft such as shear modulus, G, Young modulus, E, yield point, _{σYield}, are considered as 8.02 × 10^{11} Pa, 2.07 × 10 11 Pa, 4.14 × 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.

Original language | English |
---|---|

Pages (from-to) | 3043-3052 |

Number of pages | 10 |

Journal | Australian Journal of Basic and Applied Sciences |

Volume | 4 |

Issue number | 8 |

Publication status | Published - Aug 2010 |

### Fingerprint

### Keywords

- Exact solution
- FEM
- Pure torsional shaft

### ASJC Scopus subject areas

- General

### Cite this

*Australian Journal of Basic and Applied Sciences*,

*4*(8), 3043-3052.

**Exact and numerical solution of pure torsional shaft.** / Yani, Irsyadi; M A, Hannan; Basri, Hassan; Scavino, E.

Research output: Contribution to journal › Article

*Australian Journal of Basic and Applied Sciences*, vol. 4, no. 8, pp. 3043-3052.

}

TY - JOUR

T1 - Exact and numerical solution of pure torsional shaft

AU - Yani, Irsyadi

AU - M A, Hannan

AU - Basri, Hassan

AU - Scavino, E.

PY - 2010/8

Y1 - 2010/8

N2 - 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 × 10-2 m and 1.05 × 10-2 m, and prismatic length, l is 9.845 × 10-2 m, respectively. The mechanical properties of the torsional shaft such as shear modulus, G, Young modulus, E, yield point, σYield, are considered as 8.02 × 1011 Pa, 2.07 × 10 11 Pa, 4.14 × 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.

AB - 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 × 10-2 m and 1.05 × 10-2 m, and prismatic length, l is 9.845 × 10-2 m, respectively. The mechanical properties of the torsional shaft such as shear modulus, G, Young modulus, E, yield point, σYield, are considered as 8.02 × 1011 Pa, 2.07 × 10 11 Pa, 4.14 × 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.

KW - Exact solution

KW - FEM

KW - Pure torsional shaft

UR - http://www.scopus.com/inward/record.url?scp=78650268222&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650268222&partnerID=8YFLogxK

M3 - Article

VL - 4

SP - 3043

EP - 3052

JO - Australian Journal of Basic and Applied Sciences

JF - Australian Journal of Basic and Applied Sciences

SN - 1991-8178

IS - 8

ER -