Given that the fracture occurs when load, F-36,000 N. Justify whether second order Lagrange Polynomial or fourth order Lagrange Polynomial is more accurate in terms of percentage relative error and provide its reason.
Given that the fracture occurs when load, F-36,000 N. Justify whether second order Lagrange Polynomial or fourth order Lagrange Polynomial is more accurate in terms of percentage relative error and provide its reason.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(iii)
Given that the fracture occurs when load, F-36,000 N. Justify whether second
order Lagrange Polynomial or fourth order Lagrange Polynomial is more
accurate in terms of percentage relative error and provide its reason.
Transcribed Image Text:QI (a)
Table Q1(a) shows the experimental values for a PVC pipe with diameter of 0.505
under tensile load. From the experimental works, it was found that fracture occured at
length, /= 2.14 m.
Table Q1(a): Experimental values for a PVC pipe under tensile load.
Length, /
(m)
2.08
2.12
2.2
2.23
Deflection, d
(m)
0.08
0.12
0.2
0.23
Strain, E
(%)
0.04
0.06
0.1
0.115
Stress, P
(Pa)
168,001
178,486
169,998
139,793
Load, F
(N)
33,650
35,750
34,050
28,000
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