Find a mathematical expression for each of the following

Assignment Help Mechanical Engineering

Reference no: EM13627571

Imagine a thin cylinder of initial internal diameter Do, initial wall thickness to and initial fixed length (fixed by two side walls) Lo is bulging slowly by increasing internal fluid (oil) pressure till it becomes unstable (plastic instability) and bursts. Consider this as a plane stress problem (through-thickness stress is zero). The radius of the circular arc of the cylinder wall (due to plastic bulging) is R and the final dimensions of the cylinder at the crown/pole (mid-length) at instability are Df, Tf and Lf (= Lo). Find a mathematical expression for each of the following: Effective True Stress considering plane stress conditions Effective True strain considering true stress conditions; and simplify this expression using Volume Constancy assumption. Internal pressure Pi at instability Assume that at the onset of plastic instability the internal pressure is maximum.

Reference no: EM13627571

Questions Cloud

The output of the generator has a peak emf of 20 v and the : a circuit consists of an ideal ac generator a 25 microf capacitor and an 90? resistor all connected in series. the

Calculate the speed of an iceberg driven by wind on its : calculate the speed of an iceberg driven by wind on its exposed not submerged surface. model the iceberg as a cylinder

Determine the velocity of cylinder b positive if down : at time t 0 the velocity of cylinder a is 0.38 ms down. by the methods of this article determine the velocity of

A cosmic ray particle travels directly over a soccer field : a cosmic ray particle travels directly over a soccer field from one goal line to the other at a speed of 0.522c. if the

Find a mathematical expression for each of the following : imagine a thin cylinder of initial internal diameter do initial wall thickness to and initial fixed length fixed by two

What would happen if you place a 1m by 2 m sheet of : what would happen if you place a 1m by 2 m sheet of aluminum extruded and place it on the roof of your car driving at

Light of wavelength 455 nm is incident on a narrow slit the : light of wavelength 455 nm is incident on a narrow slit. the diffraction pattern is viewed on a screen 3.11 m from the

Using a 001 significance level test the inspectors claim : the acme bacon company distributes bacon in packages labelled 500 grams. an inspector randomly selects 49 of these

The compressed liquid water enters the desuperheater at : a desuperheater is a steady-flow adiabatic mixing process that mixes superheated water vapor with colder liquid water

User Account

All Pages