Question
Using the following data, calculate the work done by stretching a spring knowing that W-İ Fdr....
Using the following data, calculate the work done by stretching a spring knowing that W-İ Fdr. Use Simpson's Rules to perform the integration. a) Show all your work and final answer shall have unit with 3 decimal places. (20%) F, (kN)00.01 0.032 0.080.123 0.31 x, (m) 0 0.05 0.10 0.15 0.20 0.25 b) If data is being given as follows, describe in details on how you will use Simpson's rule(s) to solve. Do not write down any equation and do not integrate. (5%) F, (kN) 0 0.01 0.032 0.07 0.15 0.25 0.40 X, (m)0 0.05 0.10 0.150.200.25 0.30
Answers
Given that W = integral^x_0 Fdx. Use simpson's Rules to perform the integration (a)W = delta x/3(y_0 + 4 y_1 + 2 y_2 + 4 y_3 + 2 y_4 + y_5) W = 0.05/3 [0 + 4 times 0.1 + 2 times 0.032 + 4 times 0.08 + 2 times 0.123 + 0.31] W = 0.05/3 times 0.95 W = 0.01633 kNm W = 16.33 Nm.
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