ch07solutions

ch07solutions - Problem 7.1[2 Problem 7.2[2 Problem 7.3[2...

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Problem 7.1 [2]
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Problem 7.2 [2]
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Problem 7.3 [2] Given: Equation for beam Find: Dimensionless groups Solution: Denoting nondimensional quantities by an asterisk L x x L I I t t L y y L A A = = = = = * * * * * 4 2 ω Hence * * * * * 4 2 x L x I L I t t y L y A L A = = = = = ω Substituting into the governing equation 0 * * * 1 * * * 4 4 4 4 2 2 2 2 = + x y LI L EL t y A L L ω ρ The final dimensionless equation is 0 * * * * * * 4 4 2 2 2 2 = + x y I L E t y A ω ρ The dimensionless group is 2 2 ω ρ L E
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Problem 7.4 [2]
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Problem 7.5 [4]
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