weigh_down
1. [ verb ] be oppressive or disheartening to
Synonyms: weigh_on
Related terms: lighten sadden
2. [ verb ] exert a force with a heavy weight
Synonyms: bear_down press_down_on bear_down_on drag_down
Examples:

"The snow bore down on the roof"

Related terms: press
Similar spelling:   weight_down
  weighed_down
  Weightman
  weighting