The J-frame guns don't have a strain screw, they use a coil mainspring. If the gun was bought used, a previous owner may have monkeyed with said mainspring - your local gunsmith ought to have a factory replacement that can be plugged in in short order. If you're mechanically inclined, you can also order a replacement from Wolff or Wilson Combat, either directly or through Brownells, Midway, etc. and DIY.
If the gun was bought new, try taking the grips off and douching out the insides with GunScrubber - there might be excessive/old oil or grease inside, or possibly accumulated fouling, metal chips or a dust-bunny inside the mechanism. LIGHTLY re-oil(2-3 drops of lube, max) and test-fire. If it still fails to fire with factory ammo(try Federal, good QC and sensitive primers), it's warranty time.