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.


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
Determine maximum stress and modulus of elasticity:  A composite of glass fibres and epoxy has all of fibres laid along the length and is needed to carry a stress of 12 MPa. T

(a) Reduce expression for the net pressure and depth of centre of pressure in case of an inclined plan surface submerged in a fluid. (b) Derive Euler's equation of motion along

Q. Inspection of Flange assembly? Flanges shall be clean and free of old gasket fragments, scratches, burrs, pits, etc. if needed, the flange surfaces shall be cleaned with a s

Find out the reactions at hinge: A board ABCD is held in position as shown in Figure by a cable BE and a hinge at A. If the weight of the board is 5 kN, find out the reactions

Compute the coefficient of friction at block: The frame shown in Figure rotates about a vertical axis. The coefficient of friction under block A is 0.4. Compute the coefficien

Find out the impact-force: A mass of 3 kg ball freely falls from a height of 2 metres on an anvil, & rise 0.5 metre after the blow. If the duration of impact is (1/50) th   of

a. Objectives Observe vibration first hand Calculate natural frequency and damping coefficient observe changes as a result of temperature and material b. Backg

Navy divers are called to rescue a group of office workers trapped in a basement under floodwater in Leeds, UK. The only access to the basement is via a 1.5 x 1.5 m horizontal hatc

Illustrate the GKS system The user communicates with the graphic system via his program. The GKS system is embedded in the user program by an application-oriented layer and a l