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
Explain modified Rankine cycle in detail with T-S and p-v diagrams. Explain Carnot cycle in detail with P-V and T-S diagram, and also write down expression for work ratio, therm

(a) Illustrate governing Mechanism of Francis turbine. (b) Derive a mathematical expression for work done and efficiency of Francis runner. (c) Write differences between Kapl

how can we calcute the length of dip tube and what are its effects on cyclone efficiency if we change its length


a) Draw a diagram of a simple carburettor and briefly explain its function. b) What are the basic characteristics of fuels for CI engines.

write the assumption made in derivetion of shear stress produced in circular shaft subjected to torsion

Q. Determination of Wind-Induced Forces on Pressure Vessels? ASCE does not provide the complete methodology needed to account for wind-induced forces on common appurtenances to

Create Visual Basic function ffactor(Re, rr) that calculates the Darcy-Weisbach friction factor in a pipe or duct, where Re is the Reynolds No. and rr is the relative roughness, us

Q. Can you implement Compatibility test ? This test indicates the decrease in height of a mass of sand in a specimen tube with respect to its original height, under the actio

Under the action of constant force, a 2kg block moves such that its position x as a function of time is given by X=t^3/3 ,where x in meters and t in sec , the workdone by force in