Constrained chain - relation between number of joints & links - Theory of Machines - 1

Q.  The equation j = (3/2)n – 2 represents relation between number of joints (L.H.S) and number of links (R.H.S). The chain is constrained if
- Published on 06 Aug 15

a. L.H.S = R.H.S
b. L.H.S < R.H.S
c. L.H.S > R.H.S
d. None of the above

ANSWER: L.H.S = R.H.S

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    Discussion

  • Sravanthi   -Posted on 19 Oct 15
    - In equation j = (3/2)n – 2,

    j = number of joints, n= number of links

    - A W Klein specified a rule called criteria of constraint to determine whether a chain is a structure, kinematic chain or unconstrained chain.

    According to this rule, if

    L.H.S = R.H.S, then the chain is constrained.

    L.H.S > R.H.S, then the chain is locked or is called as structure.

    L.H.S < R.H.S, then the chain is considered as unconstrained.

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