0418b - DESIGN OF MACHINERY SOLUTION MANUAL 4-18b-1 !...

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DESIGN OF MACHINERY SOLUTION MANUAL 4-18b-1 ! PROBLEM 4-18b Statement: Scale Figure P4-5b to obtain dimensions for the problem. Find and plot the angular position of links BC and CD and the transmission angle as a function of the angle of wheel W as it rotates through one revolution. Given: Measured link lengths: Wheel W ( AB ) a 10.7 mm . Coupler ( BC ) b 24.5 mm . Rocker ( CD ) c 19.2 mm . Ground link ( AD ) d 41.8 mm . Two argument inverse tangent 2 3 C W A D 4 B atan2 x y , ( ) 0.5 π . return x 0 if atan y x return x 0 > if atan y x otherwise Solution: See Figure P4-5b and Mathcad file P0418b. 1. Check the Grashof condition of the linkage. Condition S L , P , Q , () SL S L PQ P Q "Grashof" return SL PQ if "non-Grashof" return otherwise Condition a d , b , c , ( ) "non-Grashof" = 2. Using the geometry defined in Figure 3-1a in the text, determine the wheel angles (relative to the line AD ) at which links 3 and 4 are in toggle. θ 21 acos a 2 d 2 bc 2 2 a . d . θ 21 93.073 deg = θ 22 360 deg . θ 21 θ 22 266.927 deg = 3. Define one cycle of the input crank: θ 2 93 deg .
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This note was uploaded on 02/06/2012 for the course MEEG 439 taught by Professor Scf during the Spring '11 term at The Petroleum Institute.

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0418b - DESIGN OF MACHINERY SOLUTION MANUAL 4-18b-1 !...

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