Find out change in diameter, Mechanical Engineering

Find out change in diameter:

A cylindrical shell, 0.8 m in a diameter and 3 m long is along with 10 mm wall thickness. If the shell is subjected into an internal pressure of 2.5 N/mm2, find out

(a) change in diameter,

(b) change in length, and

(c) change in volume.

Take E = 200 GPa and Poisson's ratio = 0.25.

Solution

Diameter of the shell, d = 0.8 m = 800 mm.

Thickness of the shell, t = 10 mm.

Internal pressure, p = 2.5 N/mm2.

Hoop stress,

σh  = pd/ 2t

= 2.5 × 800/(2 × 10 ) = 100 N/mm2

Longitudinal stress,

σl  =  pd /4t

 = 2.5 × 800/(4 × 10) = 50 N/mm2

Hoop strain, εn = E (σh  - ε σl ) =( 1/(2 × 105))  (100 - 0.25 × 50)

= 4.375 × 10- 4

Longitudinal strain, εl  = E (σl  - ν σh ) = 2 × 105  (50 - 0.25 × 100)

= 1.25 × 10- 4

Change in volume /Original volume = 2εh  + εl  = 2 × 4.375 × 10- 4  + 1.25 × 10- 4

= 10 × 10- 4  = 10- 3

Increase in diameter = Hoop strain × Original diameter

4.375 × 10- 4 × 800 = 0.35 mm

Enhance in length = Longitudinal strain × Original length

1.25 × 10- 4 × 3000 = 0.375 mm

Increase in internal volume = =( δv/ v )× Original length

 Original volume =( π d 2 /4 )× l = (π /4)× 8002 × 3000 = 1507 × 106  mm3

Increase in volume = 10- 3 × 1507 × 106 = 1507 × 103 mm3

Posted Date: 1/21/2013 2:21:36 AM | Location : United States







Related Discussions:- Find out change in diameter, Assignment Help, Ask Question on Find out change in diameter, Get Answer, Expert's Help, Find out change in diameter Discussions

Write discussion on Find out change in diameter
Your posts are moderated
Related Questions
Maintenance Operations: The maintenance operations cover various activities such as: (a) making good rain cuts in embankment, (b) clearing the side ditches of vegetatio

Find out ratio of  upper end area to lower end area  of bar of uniform strength Sol : The figure given to us shows a bar subjected to external tensile load P. If bar had be

Homogeneous and isotropic material: A homogeneous material implies that elastic properties like modulus of elasticity and Poisson's ratio of material are same everywhere in

Calculate Drilling Speed and Machining Time Calculate the drilling speed if a 50 mm dia hole of 60 mm depth is to be drilled in a M.S. component. The feed rate is 0.2652 and M

CONSTRUCTIO N FEATURES : Comprises of a water drum which is connected to two headers at the front and back ends. The headers are connected by large number of water tubes which

Evaluate the angle - block impends down the plane: What should be value of the angle shown in the figure so that the motion of the 90N block  impends down the plane? The coe

Q. Safety from Corrosive Chemicals? Safety showers and eyewash stations shall be provided in areas where corrosive chemicals are stored and handled. They should be located so t

What is The Tunnel Diode and the Current Regulator Diode?

Heat Dissipation : During clutch application, large amount of heat is generated. The rubbing surfaces should have sufficient area and mass to absorb the generated heat. The proper

DIFINE AS INERTIA