hwsol01

hwsol01 - ME 358 Homework Solution 1 Problem 1 The links of...

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ME 358 Homework Solution 1 Problem 1 The links of a planar four-bar linkage are 1, 3, 5 and 5 in long. a) Do these linkages satisfy Grashof’s law? b) Assemble them in all possible combinations and sketch the four inversions of each. Describe each inversion by name, e.g., crank-rocker mechanism or drag-link mechanism. Solution a) q p 5 3 8 6 5 1 l s 5 q , 3 p , 5 l , 1 s + = + = < = + = + = = = = b)
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Problem 2 A crank-rocker linkage has a 100 mm frame, a 25 mm crank, a 90 mm coupler and a 75 mm rocker. Draw the linkage and find the maximum and minimum values of the transmission angle. Locate both toggle positions and record the corresponding crank angles and transmission angles. Solution a) First position (toggle position)
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() () ( ) () () () () () o o 13 . 59 mm 90 mm 25 mm 75 2 mm 100 mm 90 mm 25 mm 75 cos r r r 2 r r r r cos 07 . 40 mm 90 mm 25 mm 100 2 mm 75 mm 90 mm 25 mm 100 cos r r r 2 r r r r cos 2 2 2 2 2 1 3 2 4 2 1 2 3 2 2 4 1 2 2 2 2 2 1 3 2 1 2 4 2 3 2 2 1 1 2 = + + + = + + + = γ = + + + = + + + = θ
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This note was uploaded on 09/14/2008 for the course ME 358 taught by Professor Smith during the Spring '08 term at Stevens.

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hwsol01 - ME 358 Homework Solution 1 Problem 1 The links of...

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