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ts. nd cx + d for L/2 < x < L -wise linear approximation, in this case for 2 segments. Write a generic onding to a piece-wise linear approximation resulting from dividing the gth L/N. Show that in the limit for N → o the approximate potential ent on the implications of your result. 400 N, q = 100 N/m, L = 2 m, A = 0.0003 m², E = 70 GPa, and v t 3 to create and plot the solution for N = 50 in Python. Include the L

ts. nd cx + d for L/2 < x < L -wise linear approximation, in this case for 2 segments. Write a generic onding to a piece-wise linear approximation resulting from dividing the gth L/N. Show that in the limit for N → o the approximate potential ent on the implications of your result. 400 N, q = 100 N/m, L = 2 m, A = 0.0003 m², E = 70 GPa, and v t 3 to create and plot the solution for N = 50 in Python. Include the L

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Please dont answer if you dont answer the whole problem, and can use only python for coding 

Problem 1 Consider the bar depicted in Figure 1. 1. Derive the corresponding expression for the elastic potential. 2. Use the Rayleigh-Ritz method to find approximate solutions considering the following approximate displace- ment fields. Comment on your results. (a) û = ax + b (b) й — ах? + ba + c (c) û = ax3 + bx2 + cx + d (d) û = ax + b for 0 < x < L/2 and cx + d for L/2 < x < L 3. The last case is what we call a piece-wise linear approximation, in this case for 2 segments. Write a generic expression for the potential corresponding to a piece-wise linear approximation resulting from dividing the bar into N identical segments of length L/N. Show that in the limit for N → ∞ the approximate potential converges to the exact one. Comment on the implications of your result. 4. For the particular case where P 100 N/m, L = 0.3, use your expression from part 3 to create and plot the solution for N = 50 in Python. Include the = 400 N, q 2 m, A = 0.0003 m2, E = 70 GPa, and v source code. L Figure 1: Schematics for problem 1
Transcribed Image Text:Problem 1 Consider the bar depicted in Figure 1. 1. Derive the corresponding expression for the elastic potential. 2. Use the Rayleigh-Ritz method to find approximate solutions considering the following approximate displace- ment fields. Comment on your results. (a) û = ax + b (b) й — ах? + ba + c (c) û = ax3 + bx2 + cx + d (d) û = ax + b for 0 < x < L/2 and cx + d for L/2 < x < L 3. The last case is what we call a piece-wise linear approximation, in this case for 2 segments. Write a generic expression for the potential corresponding to a piece-wise linear approximation resulting from dividing the bar into N identical segments of length L/N. Show that in the limit for N → ∞ the approximate potential converges to the exact one. Comment on the implications of your result. 4. For the particular case where P 100 N/m, L = 0.3, use your expression from part 3 to create and plot the solution for N = 50 in Python. Include the = 400 N, q 2 m, A = 0.0003 m2, E = 70 GPa, and v source code. L Figure 1: Schematics for problem 1
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