Figure 6.21 shows two bodies, A and B, connected by four linear springs. The springs are at their natural positions when there is no force applied to the bodies. The displacements x¡ and x2 of the bodies under any applied force can be found by minimizing the potential energy of the system. Find the displacements of the bodies when forces of 1000lb and 2000 lb are applied to bodies A and B, respectively, using Newton's method. Use the starting vector, X1 = {0}; Hint: Potential energy of the system = strain energy of springs – potential of applied loads where the strain energy of a spring of stiffness k and end displacements x¡ and x, is given by k(x2 – x1)² and the potential of the applied force, F¡, is given by x; F; .
Figure 6.21 shows two bodies, A and B, connected by four linear springs. The springs are at their natural positions when there is no force applied to the bodies. The displacements x¡ and x2 of the bodies under any applied force can be found by minimizing the potential energy of the system. Find the displacements of the bodies when forces of 1000lb and 2000 lb are applied to bodies A and B, respectively, using Newton's method. Use the starting vector, X1 = {0}; Hint: Potential energy of the system = strain energy of springs – potential of applied loads where the strain energy of a spring of stiffness k and end displacements x¡ and x, is given by k(x2 – x1)² and the potential of the applied force, F¡, is given by x; F; .
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
Related questions
Question
100%
Transcribed Image Text:200 Ib/in.
100 Ib/in.
В
www
ww
A
300 Ib/in.
2000 Ib.
1000 Ib.
400 Ib/in.
x1
x2
Figure 6.21 Two bodies connected by springs.
Transcribed Image Text:6.5 Figure 6.21 shows two bodies, A and B, connected by four linear springs. The springs are
at their natural positions when there is no force applied to the bodies. The displacements
xị and x2 of the bodies under any applied force can be found by minimizing the potential
energy of the system. Find the displacements of the bodies when forces of 1000lb and
2000 lb are applied to bodies A and B, respectively, using Newton's method. Use the
starting vector, X1 = {8}. Hint:
Potential energy of the system = strain energy of springs – potential of applied loads
where the strain energy of a spring of stiffness k and end displacements x¡ and x2 is
given by k(x2 – x)² and the potential of the applied force, Fi, is given by x; F;.
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
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The