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2009501436_&igrave;œ&nbsp;&ecirc;&acute;‘&igrave;„&nbsp;_hw#4

# 2009501436_ìœ ê´‘ì„ _hw#4

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Home Work. #5 Problem Set 2.4 2.4.9) (Recommended) If a tree has five nodes in a line(four edges), answer the questions in Worked Example 2.5A Sol) -->-- -->-- -->-- -->-- ⑤ ② 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 A - - = - - , ˜) ' 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 T A - - = - - (1) 1 1 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 1 2 T A A - - - = - - - - - (2) ( ) T reduced K A A = grounding node 1 1 1h ) μ ª * . 2 1 0 0 1 2 1 0 0 1 2 1 0 0 1 1 T K A A - - - = = - - - (3) 1 1 ( ) T K A A - - = matlab ˆ) μ ª* . 1 1 1 1 1 1 2 2 2 1 2 3 3 1 2 3 4 K - = (4) eigenvalues of K matlab ˜) μª* K eigenvalues 3.5321, 2.3473, 1, 0.1206 λ = (5) det(K) matlab det(K) h 'μª det( ) 1 K = 2009-04-15

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Home Work. #5 Problem Set 2.4 2.7.2) Truss B has 7bars and n = 2N – r = 10 – 8 unknown displacements. What motion solves Au=0 ? By adding one bar, can A become square and invertible?
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