Question

The equivalent stiffness of two springs of stiffness $S_{1}and{S}_2$ joined in series is given by

• A. $\frac{S_1{S}_2}{S_1+S_2}$
• B. $\frac{S_1/S_2}{(S_1+S_2)}$
• C. $S_1+S_2$
• D. $S_1{S}_2$

Answer 1

The correct option is A $\frac{S_1{S}_2}{S_1+S_2}$

Series and parallel combination of spring :

(i) Parallel combination:
$If{S}_{1}and{S}_{2}isstiffness,then$


$S_{eq}=S_1+S_2$


(ii) Series combination:

$\frac{1}{S_{eq}}=\frac{1}{S_1}+\frac{1}{S_2}$

$\Rightarrow S_{eq}=\frac{S_1{S}_2}{S_1+S_2}$