Proving a 2D slider crank mechanism fits the Gruebler's Equation

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SUMMARY

The discussion focuses on proving that a slider crank mechanism adheres to Gruebler's Equation, specifically the formula 3l - 2j - 4 = 0. The user identifies the number of links (l) as 4 and the number of joints (j) as 3, leading to a conclusion that it does not satisfy the equation. Additionally, the user notes that a slider crank mechanism can be considered a type of four-bar mechanism, requiring four vectors for its description, particularly when an offset is present.

PREREQUISITES
  • Understanding of Gruebler's Equation in kinematics
  • Knowledge of slider crank mechanisms
  • Familiarity with four-bar linkage systems
  • Basic principles of mechanical linkages and joints
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  • Study the derivation and applications of Gruebler's Equation
  • Explore the characteristics and analysis of slider crank mechanisms
  • Investigate the properties of four-bar linkages and their classifications
  • Learn about vector representation in mechanical systems
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Mechanical engineering students, kinematics researchers, and professionals involved in the design and analysis of mechanical linkages.

bortonj88
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Homework Statement


Need to prove that a slider crank mechanism fits the Grueblers eqaution, already done for a four bar mechanism no problem, however having some serious problems with the slider crank. If l is the number of links and j is the number of joints


Homework Equations


Grueblers equation is
3l-2j-4=0

The Attempt at a Solution


Looking at a slider crank mechanism, i deduced that l=4 and j=3, however it does not fit the grueblers equation
 
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Slide crank is also a kind of four bar.(You need 4 vector to describe that,if it has offset.)

The block count one. i=4 , j=4 .
 

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