Engineering

Why a dam is fat at the bottom: water's push grows with depth squared, its tipping with depth cubed

A dam cross-section: water on the left pushes with arrows that grow longer toward the bottom, against a wedge-shaped dam that is widest at its base
30seconds
The 30-second version

A dam is fat at the bottom and slim at the top because water pressure grows with depth, so the push grows with depth squared and the tipping effect with depth cubed.

Drag the water level, switch between a wall and a wedge, and change the base width to see when a dam tips about its toe. Then see why a wedge needs about 40% less concrete than a wall, and how Hoover Dam's 660 ft base fits the same idea.

Deep dive · 5 min
Deep dive · 5 min

More in Engineering

View all →
Why bridges are made of triangles: a square folds, a triangle cannot A square made of four pinned rods folds flat at the slightest push, but a triangle of three rods cannot change shape at all. That one fact is why bridges… Engineering3 min read Why Taipei 101 hangs a 660-tonne ball in its upper floors: the tuned mass damper At the top of Taipei 101 a 660-tonne steel ball hangs in plain view. It is not decoration: it is a tuned mass damper that swings against the building and can… Engineering4 min read Why airliner windows have no corners: stress piles up at the tightest curve Cut a hole in a stretched plate and the force has to squeeze past it, so the metal beside the hole carries far more stress than the rest. For a round hole in a… Engineering5 min read Why steel beams are shaped like an I: the same steel, 25 times stiffer Put a beam across a gap and it sags: the top edge is squeezed, the bottom stretched, and the steel in the middle does almost nothing. That is why girders are… Engineering4 min read Why a stone arch stands without glue: Hooke's upside-down rope A stone arch has no glue, yet it stands for centuries because every block is only ever squeezed. In 1675 Robert Hooke hid the secret in an anagram: as a… Engineering5 min read Why a squeezed ruler bows sideways: Euler's buckling and the hollow tube Squeeze a ruler between your palms and it doesn't crush: it bows sideways and gives way. That's buckling, and it decides how slender a column can be. Euler… Engineering4 min read