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

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✖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.ⓘ Number of links in a kinematic chain [L_n]			+10% -10%
✖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.ⓘ Number of joints in a kinematic chain [j]			+10% -10%
✖Number of higher pairs in a kinematic chain is a constraint that requires a curve or surface in the moving body to maintain.ⓘ Number of higher pairs in a kinematic chain [h]			+10% -10%

✖Number of degree of freedom for plane mechanism is the number of independent parameters that define its configuration or state.ⓘ Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion [n]

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Formula

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

Formula

`"n" = 3*("L"_{"n"}-1)-2*"j"-"h"`

Example

`"-4"=3*("5"-1)-2*"7"-"2"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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
n = 3*(L_n-1)-2*j-h
This formula uses 4 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Number of links in a kinematic chain: 5 --> No Conversion Required
Number of joints in a kinematic chain: 7 --> No Conversion Required
Number of higher pairs in a kinematic chain: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = 3*(L_n-1)-2*j-h --> 3*(5-1)-2*7-2

Evaluating ... ...

n = -4

STEP 3: Convert Result to Output's Unit

-4 --> No Conversion Required

FINAL ANSWER

-4 <-- Number of degree of freedom for plane mechanism

(Calculation completed in 00.004 seconds)

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< 5 Simple Mechanism Calculators

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

Go 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

Total Number of Instantaneous Centers in Mechanism

Go Total number of instantaneous centers in a mechanism = Number of links in a kinematic chain*(Number of links in a kinematic chain-1)/2

Number of Joints in Kinematic Chain when Higher Pair is also Present

Go Number of joints in a kinematic chain = 3*Number of links in a kinematic chain/2-2-Number of higher pairs in a kinematic chain/2

Number of Joints in Kinematic Chain

Go Number of joints in a kinematic chain = 3*Number of links in a kinematic chain/2-2

Number of Links in Kinematic Chain

Go Number of links in a kinematic chain = 2*Number of pairs in a kinematic chain-4

Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion 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
n = 3*(L_n-1)-2*j-h

What does the degree of freedom mean?

Degrees of Freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.

What is Kutzbach criterion for degree of freedom of plane mechanism?

The Kutzbach criterion, which is similar to Gruebler's equation, calculates the mobility. In order to control a mechanism, the number of independent input motions must equal the number of degrees of freedom of the mechanism.

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

Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion calculator 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 calculate 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 calculate Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion using this online calculator? To use this online calculator for Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion, enter Number of links in a kinematic chain (L_n), Number of joints in a kinematic chain (j) & Number of higher pairs in a kinematic chain (h) and hit the calculate button. Here is how the Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion calculation can be explained with given input values -> -4 = 3*(5-1)-2*7-2.

FAQ

What is Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion?

Number of degrees of freedom in kinematic chain as per Kutzbach criterion is the number of independent parameters that define its configuration or state and is represented as n = 3*(L_n-1)-2*j-h or 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. 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, 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 & Number of higher pairs in a kinematic chain is a constraint that requires a curve or surface in the moving body to maintain.

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

Number of degrees of freedom in kinematic chain as per Kutzbach criterion is the number of independent parameters that define its configuration or state is calculated using 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 calculate Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion, you need Number of links in a kinematic chain (L_n), Number of joints in a kinematic chain (j) & Number of higher pairs in a kinematic chain (h). With our tool, you need to enter the respective value for Number of links in a kinematic chain, Number of joints in a kinematic chain & Number of higher pairs in a kinematic chain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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