When attacking with a improvised melee weapon do you add Strenght modifier to the damage?

@JeremyECrawford When attacking with a improvised melee weapon, do you add your str mod to the damage, or does it simply deal 1d4 damage?

— Thomas Conners (@thomas_conners) August 17, 2016

When you attack with a weapon, add your ability mod. to the damage—same mod. used for the attack roll (PH, 196) #DnD https://t.co/ADl5GJmAHm

— Jeremy Crawford (@JeremyECrawford) August 17, 2016