An arched spaceframe can also be constructed so that its outer grid layer is staggered

relative to its inner grid like a conventional planar spaceframe.  Four examples are

shown here.  In each case the unit cell is unstable but the cylinder built from it is stable

and conforms to the equation M = 3 J.

.

Example 1:  [two-way large square (LS) grid staggered over two-way rectangle (REC) grid]

.

barrel_vault.jpg

 

spaceframe_cylinder.jpg

Fig. 276 - Arched spaceframes - 1

◄  barrel vault

cylinder  ►

 

(static demonstration models)

click image to enlarge

.

spaceframe_cylinder.jpg

◄  Fig. 277 - Unit cell - 1

water_wheel.jpg

M = 17    J = 8

17 < 3 ( 8 ) - 6, need + 1 M

LT (red, orange), IT (blue)

Fig. 278 - Water wheel  ►

(scale visualization model)

click image to enlarge

.

Example 2:  [two-way large square (LS) grid staggered over two-way rectangle (REC) grid]

.

barrel_vault.jpg

 

spaceframe_cylinder.jpg

Fig. 279 - Arched spaceframes - 2

◄  barrel vault

cylinder  ►

 

 

.

spacefraem_cylinder.jpg

◄  Fig. 280 - Unit cell - 2

microwave_relay

M = 17    J = 8

17 < 3 ( 8 ) - 6, need + 1 M

RT (purple, blue), IT (orange)

Fig. 281 - Deep space

microwave relay  ►

.

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Page 150 - Building stability - Barrel vaults and cylinders

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