Question based on spring elements

Question: In the figure given below we have a system of spring elements. We need to find the equivalent spring constant of this system?

Solution: Lets start solving this problem

• First find the equivalent of springs k1 and k3 (both are in parallel). Therefore the equivalent spring will be 2k1 and 2k3.
• Then find the equivalent of 2k1, 2k3 and k2 (they are in series). Lets say equivalent is keq.
• Now k4 and keq are in parallel, means they will get added and after that their equivalent is in series with spring k5.

I am also providing my solution below Thanks