Theory of Machines: Unit I: Kinematics of Mechanisms

Grashof's law

Kinematics of Mechanisms - Theory of Machines

Grashof's law states that for a planar four-bar mechanism, the sum of the shortest and longest links must be less than or equal to the sum of the lengths of two other links, if there is to be continuous relative rotation between two members.

GRASHOP'S LAW

Law: Grashof's law states that for a planar four-bar mechanism, the sum of the shortest and longest links must be less than or equal to the sum of the lengths of two other links, if there is to be continuous relative rotation between two members.

Let

s = Length of the shortest link,

l = Length of the longest link, and

p and q = Lengths of the other two links.

Then, according to Grashof's law, one of the links (i.e., shortest link) will rotate continuously relative to other three links, only when


The four-bar chain that satisfies the Grashof's law is known as Grashof's chain.

If this inequality is not satisfied, no link will make a complete rotation relative to other three links. The four-bar chain that does not satisfy the Grashof's law is known as non- Grashof chain.

Theory of Machines: Unit I: Kinematics of Mechanisms : Tag: : Kinematics of Mechanisms - Theory of Machines - Grashof's law