Question

A thick-walled steel cylinder with internal diameter = 16 mm and external diameter = 24 mm is subjected to a gradually increasing internal pressure P.

I.   Using accurate formulation, determine the value of P and sketch the distribution of radial, tangential and maximum shear stresses when:
a.   The material of the cylinder first commences to yield.
b.   Yielding progressed to mid-depth of the cylinder wall (at D= 20 mm ).
c.   The material of the cylinder suffers complete collapse (fully plastic).
II.   Compare the results obtained from part I (a, b and c) with those obtained when a linear stress distribution throughout the wall thickness is assumed.
III.   Assuming linear stress distribution, calculate and sketch the residual stress distribution, giving all values of significant stresses, when the acting pressure in part II-b ( yielding to D= 20 mm )is applied and then removed.

The yield strength of the material is 600 MPa.

Please provide the full equations and the right answers and I also provide the right final answers to you.

Question 5 A thick-walled steel cylinder with intemal diameter 16 mm and external diameter 24 mm is subjected to a gradually increasing internal pressure P I. Using accurate formulation, determine the value of P and sketch the distribution of radial, tangential and maximum shear stresses when: a. The material of the cylinder first commences to yield. b. Yielding progressed to mid-depth of the cylinder wall (at D- 20 mm C. The material of the cylinder suffers complete collapse (fully plastic) I Compare the results obtained from part I (a, b and c) with those obtained when a linear stress distribution throughout the wall thickness is assumed I. Assuming linear stress distribution, calculate and sketch the residual stress distribution, giving all values of significant stresses, when the acting pressure in part l-b ( yielding to D-20 mm )is applied and then removed The yield strength of the material is 600 MPa (20 Marks) Question 5-Answer Xonins ar 166 Ia b) P3 225.5 MPa E Linear Distibution k22. 13 Pa c) Pe=240 MPa L.ed 218. 12 APa intern-A pressure ELASTIC' AL Y and addby simple s ps tion PCA Ca.- P 4 ar-

Answer 1

0- Given data di 6 m Comm en ce to yield P05-an) 600 xTT x 326 50 20 cylinder wall CD:20mm) au 16 2- 2. 2D.mm. 150구20 3- 1yx1680 120 MpA

Ye sicu utimat7 G at cella p se Jins 20 MPA