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Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion Formula

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Number of degree of freedom for plane mechanism is the number of independent parameters that define its configuration or state. Check FAQs
n=3⋅(Ln-1)-2⋅j-h
n - Number of Degree of Freedom for Plane Mechanism?Ln - Number of Links in a Kinematic Chain?j - Number of Joints in a Kinematic Chain?h - Number of Higher Pairs in a Kinematic Chain?

Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion Example

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Here is how the Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion equation looks like with Values.

Here is how the Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion equation looks like with Units.

Here is how the Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion equation looks like.

2Edit=3⋅(7Edit-1)-2⋅7Edit-2Edit
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Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion Solution

Follow our step by step solution on how to calculate Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion?

FIRST Step Consider the formula
n=3⋅(Ln-1)-2⋅j-h
Next Step Substitute values of Variables
∴ n=3⋅(7-1)-2⋅7-2
Next Step Prepare to Evaluate
∴ n=3⋅(7-1)-2⋅7-2
LAST Step Evaluate
∴n=2

Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion Formula Elements

Variables
Number of Degree of Freedom for Plane Mechanism
Number of degree of freedom for plane mechanism is the number of independent parameters that define its configuration or state.
Symbol: n
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Number of Degree of Freedom for Plane MechanismOpen Variable
Number of Links in a Kinematic Chain
Number of links in a kinematic chain is the total (each part of a machine, which moves relative to some other part) links in a kinematic chain.
Symbol: Ln
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Links in a Kinematic ChainOpen Variable
Number of Joints in a Kinematic Chain
Number of joints in a kinematic chain is a section of a machine which is used to connect one or more mechanical part to another.
Symbol: j
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Number of Joints in a Kinematic ChainOpen Variable
Number of Higher Pairs in a Kinematic Chain
Number of higher pairs in a kinematic chain is a constraint that requires a curve or surface in the moving body to maintain.
Symbol: h
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Number of Higher Pairs in a Kinematic ChainOpen Variable

Other formulas in Simple Mechanism category

​Go Number of Joints in Kinematic Chain
j=3⋅Ln2-2
​Go Number of Joints in Kinematic Chain when Higher Pair is also Present
j=3⋅Ln2-2-h2
​Go Number of Links in Kinematic Chain
Ln=2⋅p-4
​Go Total Number of Instantaneous Centers in Mechanism
N=Ln⋅Ln-12

How to Evaluate Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion?

Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion evaluator uses Number of Degree of Freedom for Plane Mechanism = 3*(Number of Links in a Kinematic Chain-1)-2*Number of Joints in a Kinematic Chain-Number of Higher Pairs in a Kinematic Chain to evaluate the Number of Degree of Freedom for Plane Mechanism, Number of degrees of freedom in kinematic chain as per Kutzbach criterion is the number of independent parameters that define its configuration or state. Number of Degree of Freedom for Plane Mechanism is denoted by n symbol.

How to evaluate Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion using this online evaluator? To use this online evaluator for Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion, enter Number of Links in a Kinematic Chain (Ln), Number of Joints in a Kinematic Chain (j) & Number of Higher Pairs in a Kinematic Chain (h) and hit the calculate button.

FAQs on Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion

What is the formula to find Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion?
The formula of Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion is expressed as Number of Degree of Freedom for Plane Mechanism = 3*(Number of Links in a Kinematic Chain-1)-2*Number of Joints in a Kinematic Chain-Number of Higher Pairs in a Kinematic Chain. Here is an example- 2 = 3*(7-1)-2*7-2.
How to calculate Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion?
With Number of Links in a Kinematic Chain (Ln), Number of Joints in a Kinematic Chain (j) & Number of Higher Pairs in a Kinematic Chain (h) we can find Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion using the formula - Number of Degree of Freedom for Plane Mechanism = 3*(Number of Links in a Kinematic Chain-1)-2*Number of Joints in a Kinematic Chain-Number of Higher Pairs in a Kinematic Chain.
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