For the family, make an effort (6)
I believe the answer is:
Here is my best explanation:
This clue is a double definition.
'for the family' is the first definition.
'make an effort' is the second definition.
(Other definitions for strain that I've seen before include "Sift", "Tension and stress", "Melody; filter", "Pass through a filter", "Great effort - sieve", "Tension and exertion", "Muscle injury, put liquid through sieve", "Wrench; melody", "Remove by passing through a filter" and "Pass through a sieve".)