What does your textbook say?praveenpandiyan said:sorry. J represent torsional constant. its the resistance to torsion. I am i correct ? ..or how can i use area here to calculate variation in resistance. bit confued :(
Don't thank me so soon. I was wrong about it. The shear strain in the shaft is rdθ/dz. If you use this to determine the shear stress, and then the torsional moment, you find that it's the polar moment of inertia that is the thing that comes into play (as you said), not the cross sectional area (as I had said). So your were right in the first place. Senior Moment. Sorry about that.praveenpandiyan said:well .torsion for solid shaft , i have torsion eqn T/J=G*tete/L=shear stess/R
but i found finally its torsional stiffness k=T/twist that provide solution. if not i need to do some ground work myself .thanks chester
It seems well covered here: http://www.engineeringtoolbox.com/torsion-shafts-d_947.htmlpraveenpandiyan said:ok. i get that . so my area of solid shaft = .55*A(hollow ).. but resistance depends on polar moment of inertia right? .
j(solid)=pi/32(D)4 .if I am not wrong .. then does my shaft resistance decreasce?.
The diameter of a solid hollow shaft is directly proportional to its torsional resistance, meaning that a larger diameter will result in a higher resistance to torsion. This is because a larger diameter allows for a greater distribution of stress and can withstand higher levels of torque.
There are several benefits to using a solid hollow shaft for torsion resistance. These include a higher strength-to-weight ratio, increased stiffness, and better fatigue resistance. Additionally, solid hollow shafts are more cost-effective and easier to manufacture compared to other types of torsion-resistant shafts.
The material of a solid hollow shaft plays a crucial role in its torsional resistance. Generally, materials with higher shear moduli, such as steel and titanium, provide better torsional resistance compared to materials with lower shear moduli, such as aluminum and plastic. Additionally, the material's microstructure and heat treatment can also affect the shaft's torsional resistance.
There are several factors that can cause a solid hollow shaft to fail under torsional stress. These include excessive torque, fatigue, and material defects. Additionally, improper design or manufacturing processes can also lead to failure. It is essential to carefully consider these factors when designing and selecting a solid hollow shaft for torsion resistance.
The design of a solid hollow shaft can be optimized for maximum torsional resistance by considering several factors. These include selecting the appropriate material and diameter, optimizing the shaft's geometry, and incorporating features such as keyways or splines to distribute stress more evenly. Finite element analysis can also be used to simulate different loading conditions and optimize the design accordingly.