Why tall columns and loaded ropes fail; ropes in pulley tackle
Slender supports weaken toward the top, and a doubled rope bears more load on its outer side
Leonardo argues that a support set upright against a load — a beam, column or pillar — grows weaker the farther a point lies from its upper end, so that a sufficiently tall pillar would crush its own base to fine dust. He extends the same reasoning to ropes, noting that in a pulley block (taglia) the cord is stretched far more on its outer side than its inner. A marginal figure lettered a c d b measures how the outer line a b of a doubled, loaded rope runs longer than the inner line c d. Sketches of a column, pulley tackle and hanging ropes fill the right margin.
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Upright supports weaken with distance from the top
Supports set perpendicular to the weight of a load — timber, columns, pillars and the like — become weaker the farther they are from their upper extremity. A pillar could be imagined so tall that its own weight would grind its base to fine powder, as an excessive added load would too.
A doubled rope over a pulley bears more on its outer side
A rope doubled to support a weight feels more load on the outside than on the inside, and a thicker rope varies still more. The lettered figure shows how much longer the outer line a b runs than the inner line c d; in a pulley block the cord is likewise stretched more on the outer side, above the sheave (rotella).
