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Just as characters take damage when they fall more than 10 feet, so to do they take damage when they are hit by falling objects. I was using these house rules for 3rd edition and they still work for 5th edition. I would typically allow a character to make a DC 15 DEX saving throw to jump out of the way and take no damage.
Objects that fall upon characters deal damage based on their weight and the distance they have fallen.
For objects weighing 200 pounds or more, the object deals 1d6 points of damage, provided it falls at least 10 feet. Distance also comes into play, adding an additional 1d6 points of damage for every 10-foot increment it falls beyond the first (to a maximum of 20d6 points of damage).
Objects smaller than 200 pounds also deal damage when dropped, but they must fall farther to deal the same damage. Use this table to see how far an object of a given weight must drop to deal 1d6 points of damage.
|Object Weight||Falling Distance||Maximum damage|
|200 lb. or more||10 ft.||20d6|
|100-199 lb.||20 ft.||10d6|
|50-99 lb.||30 ft.||5d6|
|30-49 lb.||40 ft.||4d6|
|10-29 lb.||50 ft.||3d6|
|5-9 lb.||60 ft.||2d6|
|1-4 lb.||70 ft.||1d6|
For each additional increment an object falls, it deals an additional 1d6 points of damage up to the maximum damage. Objects weighing less than 1 pound do not deal damage to those they land upon, no matter how far they have fallen.