Quotulatiousness

October 31, 2019

A mathematical revolution in late medieval English ship design and construction

Filed under: Britain, History, Technology, Woodworking — Tags: , , , , — Nicholas @ 03:00

In the latest installment of Anton Howes’ newsletter on the Age of Invention, he discusses how geometry and mathematics helped transform late Medieval English shipbuilding:

An English ship of a slightly later period: this is a replica of the Susan Constant at the Jamestown Settlement in Virginia. The original ship was built sometime before 1607 and rented by the Virginia Company of London to transport the original settlers to Jamestown.
Photo by Nicholas Russon, March 2004.

Since about 1500, an Italian and Portuguese method of making ships had come into ever wider use in northern Europe. This was to construct the ship’s skeleton first, and then lay the planking around it. This contrasted with the older “clinker” method, by which the planks were laid from the keel upwards, with each plank slightly overlapping the one below – the rest of the skeleton was filled in later to strengthen it. The new “carvel” method, instead of having overlapping planks, allowed for a smooth hull. But it also required more planning.

The master shipwright had to first design full-sized templates, or frames, which were placed along the keel to determine the width and height of the hull, like cross-sections up and down the length of the ship. To the edges of these frames were then fixed ribbands — long, pliable boards running down the ship’s length. Altogether, the frames and ribbands formed a temporary, basket-like structure, to guide the moulding of the ship’s permanent hull around it.

But calculating the size of the frames at each point was tricky. After the placement of the first few, which might be pre-specified in size, the next ones along were typically determined according to the curve of the ribbands. Calculation was certainly involved, but it took place in the form or marking and adjusting the wood itself. Design and construction both took place in the shipyard, and through the medium of wood.

What Matthew Baker did in the 1570s was to take the design process out of the shipyard, and onto paper. He drew his ships, to scale. And by using pen and paper, with geometry to make such drawings possible, he opened up grand new possibilities for design. His process allowed him to jot down the latest innovations from the Mediterranean, to speculate about the designs of Noah’s ark and the ships of the ancient world, and to cheaply conduct his own experiments. He drew out new designs for frames, using geometry to work out how any variation would affect the overall shape of the hull, as well as its weight and carrying capacity – all at the cost of only time, ink, and paper, and avoiding the huge potential waste of conducting experiments at full scale in wood. His process allowed him to innovate more easily, and even to design new measuring instruments.

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