The Engineering Behind an Arc Lamp That Does Not Tip

The Engineering Behind an Arc Lamp That Does Not Tip

An arc lamp is a cantilever. It holds a head out over a sofa with nothing underneath it, and every centimetre of extra reach increases the moment that wants to rotate the whole assembly onto the floor.

Moment is reach times load

The tipping tendency of an arc lamp is the product of the head assembly weight and the horizontal distance from the stem. Lengthen the reach by twenty percent and you increase the overturning moment by about the same proportion, unless the head gets lighter at the same time.

Three ways to answer it

Designers use one or more of these, and you can usually identify which by looking at the product:

  1. Add base mass, ideally low and wide, which raises the resisting moment most efficiently
  2. Shorten the arm and accept less reach
  3. Move the counterweight behind the stem, so the lamp balances against itself

Where the failure actually happens

Not in the middle of the room during normal use, but when someone leans on the sofa arm while standing up, or when the lamp is nudged by a vacuum. Testing that predicts real complaints therefore has to include a horizontal push near head height, not only a static balance check.

Floor surface changes everything

A base that is stable on hardwood slides on a thick pile rug and becomes unstable on a threshold. Feet matter: a small hard foot concentrates load and resists sliding poorly, while a broad soft foot grips but lets the base settle unevenly.

What to ask a supplier

Base diameter and base weight, the distance from stem to head, and whether the design was evaluated with a lateral load applied at head height. Those three numbers tell you more about living with an arc lamp than the height figure on the marketing page.

If a supplier quotes reach but not base weight, they have not thought about stability. That answer is itself informative.

Related reading

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