Question

Q1 (a) The elongation data of one slender bar is shown in Table Q1(a). Table Q1(a): Elongation of bar as a function of time Time, t (sec) Elongation, I (mm) 5 A + 104 10 A + 112 15 A + 123 20 A + 135 25 A + 146 Note: The value of A is the last three digit of your matrix number (i) Analyse the value of the elongation at $t = 12$ sec using a second order Lagrange polynomial. (5 marks) (ii) Analyse the value of the elongation at $t = 12$ sec using a third order Lagrange polynomial. (5 marks) (iii) Find the absolute relative approximate error $|\epsilon_a|$ obtained between the results from the second with third order polynomial. (2 marks)

          Q1 (a)
The elongation data of one slender bar is shown in Table Q1(a).
Table Q1(a): Elongation of bar as a function of time
Time, t (sec)	Elongation, I (mm)
5	A + 104
10	A + 112
15	A + 123
20	A + 135
25	A + 146
Note: The value of A is the last three digit of your matrix number
(i)
Analyse the value of the elongation at $t = 12$ sec using a second order Lagrange
polynomial.
(5 marks)
(ii)
Analyse the value of the elongation at $t = 12$ sec using a third order Lagrange
polynomial.
(5 marks)
(iii)
Find the absolute relative approximate error $|\epsilon_a|$ obtained between the results
from the second with third order polynomial.
(2 marks)

Q1 (a)
The elongation data of one slender bar is shown in Table Q1(a).
Table Q1(a): Elongation of bar as a function of time
Time, t (sec) Elongation, I (mm)
5 A + 104
10 A + 112
15 A + 123
20 A + 135
25 A + 146
Note: The value of A is the last three digit of your matrix number
(i)
Analyse the value of the elongation at t = 12 sec using a second order Lagrange
polynomial.
(5 marks)
(ii)
Analyse the value of the elongation at t = 12 sec using a third order Lagrange
polynomial.
(5 marks)
(iii)
Find the absolute relative approximate error || obtained between the results
from the second with third order polynomial.
(2 marks)

Added by William M.

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