Determine the radial and circumferential stresses, Mechanical Engineering

Determine the radial and circumferential stresses:

The internal & external diameters of a thick hollow cylinder are 80 mm & 120 mm respectively. This is subjected to an external pressure of 40 N/mm2 and an internal pressure of 120 N/mm2. Determine the circumferential stress at the external & internal surfaces and determine the radial & circumferential stresses at the mean radius.

Solution

We know that

σr  =  b /r2 - a r

Thus, at r = 40, σr = 120 N/mm2, and at r = 60, σr = 40 N/mm2. Putting these values, we obtain

120 = (b/402) - a

And 40 =   (b /602) - a

On solving out , we get a = 25 and b = 230400. Circumferential stress is provided by,

σh  = b/r 2  + a

Therefore, at r = 40, σ h  = (230400/402) + 24 = 168 N/mm2

at r = 60,  σ  = (230400 /602 )+ 24 = 88 N/mm2

At the mean radius, i.e. (40 + 60)/2  = 50 mm .

Radial stress = (230400/502 ) - 24 = 68.16 N/mm2 , and

Circumferential stress = (230400/502) + 24 = 116.16 N/mm2 .

Posted Date: 1/21/2013 2:25:28 AM | Location : United States







Related Discussions:- Determine the radial and circumferential stresses, Assignment Help, Ask Question on Determine the radial and circumferential stresses, Get Answer, Expert's Help, Determine the radial and circumferential stresses Discussions

Write discussion on Determine the radial and circumferential stresses
Your posts are moderated
Related Questions
Compute the centroidal moment of inertia: Compute the centroidal moment of inertia of a thin homogeneous bar AB of length l and having a mass of m kg Solution The mass


what are the limitations of group technology and life cyle issues in group technology

causes and remedy of coldshut,misruns,shirnkage cavity,microporosity,metal penetration,mismatch

Compute the maximum bending moment: A simply supported beam of 7 m length carries point loads 2 kN, 4 kN and 6 kN at distances of 1 m, 2 m & 4 m from the fixed end respectivel

describe advantages of limitation and effect of cold working?

Binomial distribution: Let X follow a binomial distribution with parameters n = 4 and p = 0.5. Tabulate P ( ¦X - μ¦ ≥ k ) and σ 2 /k 2 for k = 1,2,3,4,5 and verify that Cheby

Copper-Nickel Alloys Complete solubility arises between nickel and copper. All alloys have same microstructure and may be cold or hot worked. Cupro-nickel also termed as Ge

which book is prefferable for plant maintenance?