3. The forces in three members of a framework are F,, F2 and F2. They are related by the simultaneous equations shown below: 4F, + 2.8F, + 2.8F, = 5.6 4.2F, – 1.4F, + 5.6F3 = 35.0 2F, + 2.8F, – 1.4F3 = -5.6 Find the values of F,, F2 and F, up to four significant figures using the following methods: a. Determinants b. Cramer's rule C. Gaussian elimination
3. The forces in three members of a framework are F,, F2 and F2. They are related by the simultaneous equations shown below: 4F, + 2.8F, + 2.8F, = 5.6 4.2F, – 1.4F, + 5.6F3 = 35.0 2F, + 2.8F, – 1.4F3 = -5.6 Find the values of F,, F2 and F, up to four significant figures using the following methods: a. Determinants b. Cramer's rule C. Gaussian elimination
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:3. The forces in three members of a framework are F1, F2 and F3. They are related by the simultaneous
equations shown below:
4F, + 2.8F2 + 2.8F, = 5.6
4.2F, – 1.4F2 + 5.6F, = 35.0
2F, + 2.8F, – 1.4F3 = -5.6
Find the values of F,, F2 and F, up to four significant figures using the following methods:
a. Determinants
b. Cramer's rule
c. Gaussian elimination
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