Compliance of two serial springs

If two springs are connected end-to-end to one another, i.e. connected in series, the total compliance of the system of springs is the sum of the compliances of each spring.

Conditions:

1. Springs must be Hookean, or linear-response, i.e. obey the Hooke’s law.

Links:

1. Wikipedia.

total_compliance

Total compliance.

Symbol:

c

Latex:

\(c\)

Dimension:

length/force

first_compliance

compliance of the first spring.

Symbol:

c_1

Latex:

\(c_{1}\)

Dimension:

length/force

second_compliance

compliance of the second spring.

Symbol:

c_2

Latex:

\(c_{2}\)

Dimension:

length/force

law

c = c_1 + c_2

Latex:

\[c = c_{1} + c_{2}\]