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Grashof Law: Can this linkage act as a Double Crank Mechanism? Video Lecture | Theory of Machines (TOM) - Mechanical Engineering
FAQs on Grashof Law: Can this linkage act as a Double Crank Mechanism? Video Lecture - Theory of Machines (TOM) - Mechanical Engineering
| 1. Can the Grashof Law be used to determine if a linkage can act as a Double Crank Mechanism? |  |
Ans. No, the Grashof Law is used to determine the mobility of a four-bar linkage, which means it determines whether the linkage can move through a complete cycle or not. It does not specifically determine if the linkage can act as a Double Crank Mechanism, which requires both the input and output links to rotate continuously.
| 2. What is the Grashof Law and how does it apply to linkages? | |
Ans. The Grashof Law is a criterion used to determine the mobility of a four-bar linkage. It states that for a four-bar linkage to have mobility, the sum of the lengths of the shortest and longest links must be smaller or equal to the sum of the lengths of the remaining two links. If this condition is satisfied, the linkage can move through a complete cycle.
| 3. Can a linkage satisfy the Grashof Law and still not act as a Double Crank Mechanism? | |
Ans. Yes, a linkage can satisfy the Grashof Law and still not act as a Double Crank Mechanism. The Grashof Law only determines the mobility of the linkage, which means it determines whether the linkage can move through a complete cycle or not. However, to act as a Double Crank Mechanism, the linkage must have both the input and output links rotating continuously, which is not solely determined by the Grashof Law.
| 4. Is the Grashof Law applicable to linkages with more than four links? | |
Ans. No, the Grashof Law is specifically applicable to four-bar linkages. It is not directly applicable to linkages with more than four links. However, the concept of mobility can still be applied to more complex linkages, but it may require additional analysis and criteria beyond the Grashof Law.
| 5. Can the Grashof Law be used to determine the transmission angle of a linkage? | |
Ans. No, the Grashof Law is not used to determine the transmission angle of a linkage. The Grashof Law focuses on the mobility of the linkage, while the transmission angle relates to the angular relationship between the input and output links of the linkage. The transmission angle is influenced by the dimensions and geometry of the linkage, and it requires a separate analysis.
Text Transcript from Video
ABCD is a 4-bar mechanism the length of
the link a B is 100 millimeters bc is
200 millimeters CD is 150 millimeters
and AD is 175 millimeters kindess
linkage act as a double crank mechanism
pause this video and give it a thought
let's walk through the solution
the length of the shortest link is 100
millimeters and that of the longest link
is 200 millimeters the length of the
other two links is 150 millimeters and
175 millimeters therefore the sum of the
lengths of the shortest during the
largest link equals 300 millimeters and
the sum of the lengths of the other two
links equals 325 millimeters
clearly the sum of the lengths of the
shortest link and the largest link is
less than the sum of the lengths of the
other two links and hence the given
linkage satisfies the grashof criterion
so yes this linkage can act as a double
crank mechanism for that we will need to
ground the shortest link which is a B in
the given linkage
the link a B is 100 millimeters bc is
200 millimeters CD is 150 millimeters
and AD is 175 millimeters kindess
linkage act as a double crank mechanism
pause this video and give it a thought
let's walk through the solution
the length of the shortest link is 100
millimeters and that of the longest link
is 200 millimeters the length of the
other two links is 150 millimeters and
175 millimeters therefore the sum of the
lengths of the shortest during the
largest link equals 300 millimeters and
the sum of the lengths of the other two
links equals 325 millimeters
clearly the sum of the lengths of the
shortest link and the largest link is
less than the sum of the lengths of the
other two links and hence the given
linkage satisfies the grashof criterion
so yes this linkage can act as a double
crank mechanism for that we will need to
ground the shortest link which is a B in
the given linkage
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