• The radial displacement pressure vessel across the thickness (inner radius a=125mm, outer radius b=200mm) follows a differential equation d'u 1 du u dr?'r dr r In a condition of internal pressure, the displacement of inside (r=a and outside r=b) should be set as 0.0968275mm and 0.0769240 mm respectively. (a) Illustrate the cross-section of the pressure vessel and the boundary condition of the displacement. Next, illustrate the 1 dimensional model of across the thickness if divided by four nodes with the same distance (four equidistance nodes).
• The radial displacement pressure vessel across the thickness (inner radius a=125mm, outer radius b=200mm) follows a differential equation d'u 1 du u dr?'r dr r In a condition of internal pressure, the displacement of inside (r=a and outside r=b) should be set as 0.0968275mm and 0.0769240 mm respectively. (a) Illustrate the cross-section of the pressure vessel and the boundary condition of the displacement. Next, illustrate the 1 dimensional model of across the thickness if divided by four nodes with the same distance (four equidistance nodes).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:The radial displacement pressure vessel across the
thickness (inner radius a=125mm, outer radius
b=200mm) follows a differential equation
d'u 1 du
u
+
dr?
r dr r?
In a condition of internal pressure, the displacement of inside (r=a and
outside r=b) should be set as 0.0968275mm and 0.0769240 mm
respectively.
(a) Illustrate the cross-section of the pressure vessel and the boundary
condition of the displacement. Next, illustrate the 1 dimensional
model of across the thickness if divided by four nodes with the same
distance (four equidistance nodes).
(b) Determine the radial displacement profile using the Finite
Difference
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

