Calculated the diameter of an aluninium shaft , Mechanical Engineering

Calculated the diameter of an aluninium shaft:

Calculated the diameter of an aluninium shaft that is designed to store the similar amount of strain energy per unit volume as a 50 mm diameter steel shaft of the similar length. Both shafts are subjected to equivalent compressive axial loads. What shall be the ratio of the stresses set up in the two shafts?

Take Esteel = Es = 201 GN/m2 and Ealuminium = Ea = 67 GN/m2.

Solution

As the strain energy per unit volume of the two shafts is equivalent, we get

1256_Calculated the diameter of an aluninium shaft.png

But we know stress,  σ=  load / area of cross-section

Therefore,

2098_Calculated the diameter of an aluninium shaft1.png

i.e.

60_Calculated the diameter of an aluninium shaft2.png

or ∴

1531_Calculated the diameter of an aluninium shaft3.png

Da  = (3 × (50)4 )1/ 4  = 65.8 mm

The needed diameter of the aluminium shaft is equal to 65.8 mm.

Posted Date: 1/21/2013 6:17:02 AM | Location : United States







Related Discussions:- Calculated the diameter of an aluninium shaft , Assignment Help, Ask Question on Calculated the diameter of an aluninium shaft , Get Answer, Expert's Help, Calculated the diameter of an aluninium shaft Discussions

Write discussion on Calculated the diameter of an aluninium shaft
Your posts are moderated
Related Questions
discuss the main components of computer aided manufacturing

Explain Internal Broaching - Types of Broaching Internal broaching operation is adopted for producing internal surface such as holes, keyways and teeth of an internal gear for

Determine the distance of application of the load: A rigid bar of negligible weight transmits a load W to a combination of 3 springs as illustrated in Figure. The three spring

define the first and second law of thermodynamics.

Illustrate how the Rankine cycle efficiency is improved by the following : a. Lowering the condenser pressure. b. Increasing the pressure of steam. c. Superheating the ste

A semi-elliptical laminated vehicle spring to took a load of 6000 N is to consist of seven leaves 65 mm wide, two of the leaves extending the full length of the spring. The spring

You as design Engineer, Describe how you would decide a suitable factor of safety for the design of a new mechanical elements. Illustrate the importance of aesthetic considerati

Compressive Stress: The stress induced in a body, when subjected to two equal and opposite pushes as shown in figure (a) as a result of which there is an decrease in length

Q. Design Gas Compressors? As gas compressors are often high investment equipment, it makes sense to locate these well away from other equipment to minimize potential fire dama

Clutch cable model: Ensure the cables fitted are of the respective model and not interchanged with other model. Also ensure that the cable is genuine.