Determine the change in diameter, Mechanical Engineering

Determine the change in diameter:

A thin spherical shell of 1.8 m diameter is 10 mm thick. This is filled with a liquid so that the internal pressure is 1 N/mm2. Determine the change in diameter if the Young's

Modulus of the material is 2 × 105 N/mm2 and Poisson's ratio is 0.3.

Solution

Diameter of the shell, d = 1.8 m = 1800 mm.

 Thickness, t = 10 mm.

Internal pressure, p = 1 N/mm2.

∴ Hoop stress, σh  = pd /4t = 1 × 1800/4 × 10 = 45 N/mm2

∴ Hoop strain, ε h = (σh /E )(1 - v) = (45/2 × 105) (1 - 0.3) = 1.575 × 10- 4

∴ Increase in diameter = εh × d

= 1.575 × 10- 4 × 1800 = 0.2835 mm

Posted Date: 1/21/2013 2:06:45 AM | Location : United States







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

Write discussion on Determine the change in diameter
Your posts are moderated
Related Questions
Sialons Mixture of silicon nitride, aluminium nitride and alumina is hot pressed to acquire a product largely called as sialon. In the resulting product the structure has part

What is Data Unification To optimize the UPR data structures, during design we study the semantics of each data type of the supported CAD systems and identify data types that a

Q. Hot Service Insluation Thicknesses? Hot Service Insluation Thicknesses are specified based on the following design criteria: • Average Annual Climatic Conditions:

Oil Gun: This is used to supply fluid oil to chassis lubrication (Figure). Figure : Oil Gun

First Law for closed system undergoing cycle: In accordance to first law, when a closed system undergoes thermodynamic cycle, the net heat transfer is equal to network transfe

The crate A of weight W=27lb is being pulled to the right by the winch at B. The crate starts at x=0 and is pulled a total distance 15ft over the rough surface for which the coeffi

Impulse, Momentum, Work and Energy: As a part of summary, you can remember various important principles in terms of following equations.  (i)        Impulse-Momentum equati

Batch Furnaces: An insulated, the heating system, chamber for placing the job, and a door or various doors for placing the job in place are the necessity of these furnaces. T

I have a bevel gear and shaft and I want to know the maximum load that can be applied on it. also I have no information about it, what kind of information is needed for this calcul

Question 1 A metal rod has a diameter of 8.74 mm and supports a load of 24.6 kN. Calculate the value of true stress on the rod. The diameter was measured with the load already a