The formula to calculate the Number of Degrees of Freedom in Kinematic Chain as Per Kutzbach Criterion is:
\[ n = 3 \cdot (L_n - 1) - 2 \cdot j - h \]
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 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 parts 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.
Let's assume the following values:
Using the formula:
\[ n = 3 \cdot (5 - 1) - 2 \cdot 7 - 2 = -4 \]
The Number of Degrees of Freedom is -4.
| Number of Links | Number of Joints | Number of Higher Pairs | Degrees of Freedom |
|---|---|---|---|
| 3 | 7 | 2 | -10.000000000000000 |
| 3.1 | 7 | 2 | -9.699999999999999 |
| 3.2 | 7 | 2 | -9.399999999999999 |
| 3.3 | 7 | 2 | -9.100000000000000 |
| 3.4 | 7 | 2 | -8.799999999999999 |
| 3.5 | 7 | 2 | -8.499999999999998 |
| 3.6 | 7 | 2 | -8.199999999999999 |
| 3.7 | 7 | 2 | -7.899999999999999 |
| 3.8 | 7 | 2 | -7.599999999999998 |
| 3.9 | 7 | 2 | -7.299999999999997 |
| 4 | 7 | 2 | -6.999999999999996 |
| 4.1 | 7 | 2 | -6.699999999999999 |
| 4.2 | 7 | 2 | -6.399999999999999 |
| 4.3 | 7 | 2 | -6.100000000000001 |
| 4.4 | 7 | 2 | -5.800000000000001 |
| 4.5 | 7 | 2 | -5.500000000000004 |
| 4.6 | 7 | 2 | -5.200000000000003 |
| 4.7 | 7 | 2 | -4.900000000000006 |
| 4.8 | 7 | 2 | -4.600000000000005 |
| 4.9 | 7 | 2 | -4.300000000000008 |
| 5 | 7 | 2 | -4.000000000000007 |
| 5.1 | 7 | 2 | -3.700000000000010 |
| 5.2 | 7 | 2 | -3.400000000000009 |
| 5.3 | 7 | 2 | -3.100000000000012 |
| 5.4 | 7 | 2 | -2.800000000000011 |
| 5.5 | 7 | 2 | -2.500000000000014 |
| 5.6 | 7 | 2 | -2.200000000000014 |
| 5.7 | 7 | 2 | -1.900000000000016 |
| 5.8 | 7 | 2 | -1.600000000000016 |
| 5.9 | 7 | 2 | -1.300000000000018 |
| 6 | 7 | 2 | -1.000000000000018 |
| 6.1 | 7 | 2 | -0.700000000000021 |
| 6.2 | 7 | 2 | -0.400000000000020 |
| 6.3 | 7 | 2 | -0.100000000000023 |
| 6.4 | 7 | 2 | 0.199999999999978 |
| 6.5 | 7 | 2 | 0.499999999999975 |
| 6.6 | 7 | 2 | 0.799999999999976 |
| 6.7 | 7 | 2 | 1.099999999999973 |
| 6.8 | 7 | 2 | 1.399999999999974 |
| 6.9 | 7 | 2 | 1.699999999999971 |
| 7 | 7 | 2 | 1.999999999999972 |