distance
it can span for a given load, all other factors being equal. For example,
the model |
of
unit
cell c) should be able to span twice the distance or carry twice the load
of unit cell |
a),
because c) has twice the depth as a) but the same module size. Consequently the depth/ |
module
ratio of c) is twice that of a). As a result the diagonal struts of
cell c) are aligned |
more parallel to a perpendicularly applied load. This reduces the internal
stresses its web |
struts are
subjected to. However, as with truss bridges, there is a limit to
how deep a double |
layer
spaceframe lattice can be before other factors such as the slenderness
ratio of the |
struts,
the dead weight of the structure, and its cost must be taken into account.
Note also |
that
when the depth/module ratio of a Tri-1 unit cell is equal to 0.816, all of
the struts of the |
spaceframe are the same length. That is, it is a standard octet truss. |
. |
Another
factor affecting the load bearing capacity of a spaceframe is how its
perimeter is |
supported. In general, the more support that is given to the
spaceframe's perimeter, the |
longer
it can span, and the greater load it can carry, all other factors being
equal. For |
example,
for a given load, the required depth to span ratio for a spaceframe
entirely |
supported around its perimeter is about one-half of that for one that is
just supported at its |
corners. |
. |
|
Fig. 235 - Tri-1 spaceframes |
 |
with equal spans but |
different depths |
◄ depth = 5.9 cm = .183 |
span 32 cm (all LT) |
|
depth = 2.9 cm = .092 ► |
span
32 cm (all RT) |
|
. |
This is
due to the fact that
the maximum bending moment exerted by a load located mid- |
span of the structure is a
function of its distance from the nearest support, as you saw before |
with
beams and truss bridges. Supporting the entire perimeter of the
spaceframe reduces |
this distance overall compared to just corner supports. |
. |
The
Tri-1 spaceframe is a very efficient design due to its omni-triangulated
geometry that |
minimizes material usage while maximizing its surface area. It is
particularly appropriate |
for
maximum load bearing situations. |
. |
 |
Fig. 236 - Tri-1 spaceframe |
|
structures |
|
◄ offshore oil rig |
band shell ► |
(scale visualization models) |
click image to enlarge |
|
. |
Variations of the Tri-1 spaceframe design are generated by selectively
removing struts from |
the
structure in a regular pattern. Two common examples are Tri-3 and
Tri-5. |
. |
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to Knowhere |
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Page 137
- Building stability - Tri-1 spaceframe |
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