Estimate the load, F that is required to cause fracture for length, / - 2.14 m using 2 points Lagrange Polynomial.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
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
(i)
Estimate the load, F that is required to cause fracture for length, /= 2.14 m
using 2 points Lagrange Polynomial.
Transcribed Image Text:(i) Estimate the load, F that is required to cause fracture for length, /= 2.14 m using 2 points Lagrange Polynomial.
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