Question

A planar four-bar linkage mechanism with 3 revolute kinematic pairs and 1 prismatic kinematic pair is shown in the figure, where AB ⊥ CE and FD ⊥ CE. The T-shaped link CDEF is constructed such that the slider B can cross the point D, and CE is sufficiently long. For the given lengths as shown, the mechanism is

Options :

  1. a Grashof chain with links AG, AB, and CDEF completely rotatable about the ground link FG

  2. a non-Grashof chain with all oscillating links

  3. a Grashof chain with AB completely rotatable about the ground link FG, and oscillatory links AG and CDEF

  4. on the border of Grashof and non-Grashof chains with uncertain configuration(s)

Show Answer

Answer :

a non-Grashof chain with all oscillating links

Solution :

Here all lengths of links are shown
s = 1.5 cm
l = 5 cm
s + l = 1.5 + 5 = 6.5 cm
Sum of other two links:
p + q = 3 cm + 3 cm = 6 cm
s + l > (p + q)

Grashoff’s law is not satisfied, therefore non Grashoff’s chain.
All are oscillating links or triple rocker mechanism.

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