SUMMARY
The discussion focuses on calculating the required diameter of a brass torsion shaft subjected to a torque of 25 kNm, with an allowable shear stress of 100 MPa and a shear modulus of elasticity of 39 GPa. The length of the shaft is 2 m, and the allowable angle of twist is 0.10 rad. The correct formula to use is J = TL / Gθ, where J is the polar moment of inertia. The initial calculation of a 7mm diameter was incorrect due to algebraic errors in applying the torsion formula.
PREREQUISITES
- Understanding of torsion in solid shafts
- Familiarity with shear stress and shear modulus concepts
- Knowledge of polar moment of inertia (J) calculation
- Basic algebra for manipulating equations
NEXT STEPS
- Review the derivation of the polar moment of inertia for circular shafts
- Study the relationship between torque, shear stress, and angle of twist in torsion
- Learn about the properties of materials, specifically brass, in mechanical applications
- Practice solving torsion problems using different values for torque and material properties
USEFUL FOR
Mechanical engineers, students studying mechanics of materials, and professionals involved in shaft design and analysis will benefit from this discussion.
