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Basic Design Rules For Glass Design |
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Frank Heyder, Consulting Engineer, Berlin,
Germany
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Structural glass
tends to influence modern architecture more and more. Following are
some basic design rules for the glass design.
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1. Redundant construction
as basic rule
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Glass can always break,
even if designed properly. Or, more scientific, the initial energy to
break glass is very low, even a minor accident may destroy this
material. Glass structures must be designed redundantly, so if
one glass part brakes, the rest of the structure (either steel or also
glass parts) will still be safe, may be with a reduced level of
safety. Therefore, glass construction are mostly secondary or tertiary
structural elements (in term of structural hierarchy of a building),
i.e. parts of the building envelope, but not parts of the main primary
structure.
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The understanding of
aspect of reduced safety after glass failure is the vital
element of glass design. This case can be assessed by means of
analysis, but mostly by experiments.
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2. Loads
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The imposed loads for
glass are the same as for any cladding detail. Main loads are wind,
snow and own weight, the national codes of practice ought to be used.
Care should be taken to consider the increased wind loads at corners
of buildings. High-rise buildings or buildings with unusual forms may
require a detailed wind assessment with wind channel research.
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3. Support forces and
bending moments
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Since glass is typically
used as plates with linear or punctual supports, bending moments and
support reactions can easily be obtained by using simple FEM programs
with plate elements or by literature with tabulated values for
plates. The approach with the linear-elastic theory (Kirchhoff-theory)
is always a good way because its at safe side. Deflections more than
plate thickness indicate the limit of that theory, i.e. nonlinear
calculation could here yield lower stresses, but that effort is
actually seldom required.
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For the allowable stress
approach the forces and bending moments need no load factors
included.
Most FEM programs give you already the stresses in both direction and
the principal stresses. Please note that due to glass crack
mechanism the principal tension stress will lead to the crack,
so this maximum value ought to be compared with the allowable stress.
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Laminated glass (made
from layers of same thickness) ought to be modeled as one layer,
imposed the reduced load = real load divided by the number of layers.
The shear composite effect ought to be neglected, since its not sure,
especially with long-term-loads and under high temperature the PVB
foil tend to creep.
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4. Allowable stresses (as
currently applied in Germany)
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Following are the values
for maximum allowable stresses (they include already a global safety
factor of 2.4 against 5%-quantil value for breaking) have been applied
for numerous projects with the approval of building authorities:
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| Glass |
Allowable stress |
Comment |
| ESG = Safety glass |
50 N/mm² |
also in laminated glass, but
without considering shear between layers |
| ESG = Safety glass |
30 N/mm² |
if imprinted at tension side |
| TVG = Heat strengthened Glass |
29 N/mm² |
also in laminated glass, but
without considering shear between layers |
| TVG = Heat strengthened Glass |
18 N/mm² |
if imprinted at tension side |
| Float vertical |
18 N/mm² |
(slope up to 10° to the vertical
allowed) |
| Float horizontal |
00 N/mm² |
In overhead glazing forbidden |
| Float horizontal in insolating
glass units |
12 N/mm² |
only applicable for upper glass in
insulating glass units, the lower glass must be a laminated glass |
| laminated glass (VSG) from Float,
horizontal |
15 N/mm² |
stresses have to be calculated
without shear between layers |
| laminated glass (VSG) from Float,
vertical |
22.5 N/mm² |
stresses have to be calculated
without shear between layers |
| laminated glass (VSG) from Float |
25 N/mm² |
for calculations of rest safety of
the survived one layer when the other glass sheet is already
destroyed |
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5. Comments
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With "Laminated safety
glass" is meant : Glass, laminated with PVB foil. Other glass
with acrylic compound have to be especially approved by the building
authority. The thickness of the PVB foil may affect the rest safety
after break of one layer. Typical PVB foil thicknesses are 0.38mm,
0.76 mm and 1.52 mm. Glass that must withstand pedestrian load by
cleaners has to have at least a 0.76 mm foil. Glass for regular use as
pedestrian area is usually at least a 4-layer composite glass.
Safety glass (ESG) is fully thermically prestressed glass, which
breaks in small smooth pieces. It is used as car glass as well.
Thermally / heat strength glass (TVG) is like the safety glass
thermally prestressed, but less than safety glass. It breaks like
normal float glass, but has higher allowable stresses. Being
laminated, TVG has the best redundant safety properties, i.e. even if
broken no parts fall down and the broken laminate acts like a carpet
between supports and has still astonishing loadbearing capacities.
Therefore, laminates from TVG became first choice for engineered
glazing meanwhile.
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All stresses are to
compare with major tension stresses. Experiments have shown that
in-plane stresses lead earlier to failure than plate stresses due
to bending, so for the maximum allowable stress for in-plane loads
(shear panel loads) 90% of the values above should be taken.
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Punctual fittings
consider much more detail knowledge. The common way is to test the
actual fitting type with the glass type and find experimentally the
maximum break load. Common fittings allow break forces perpendicular
to plane of about 5 to 15 kN (pull-out-test). If you have a typical
glass of 1.35 x 2.7 m and a wind load of lets say 1 kN/m², each
fitting will have to carry 0.91 kN, which gives to 5 kN ultimate load
an overall safety factor of about 5. Those reserves vapor with
horizontally glass, where own weight and snow are imposed, so more
fittings and/or such with large washers may have to be used.
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Punctual fittings for
in-plane-loads (e.g. load-bearing glass fins with bolted supports)
are much more special. Some fitting manufacturer have fitting types in
stock for those purposes. As a thumb rule you can obtain the average
stress in the glass hole by stress = bolt force /(glass thickness * hole diameter) . This value
should not reach more than 1/3 of the allowable glass stress written
above. The reason is that - in difference to steel, glass is not
ductile, so stress peaks in the hole cannot plastify away, and tend
to crack the glass very early. For that type of connection,
experiments are strongly recommended. For laminated glass with drilled
holes I just remember for the known problem, that the drilled holes
of the layers cannot be placed exactly side by side, so some special
knowledge is required to tackle this problem.
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The glass itself always
ought to be supported in plane statically determined to avoid forces
due to temperature.
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For insulating glass
of small (below 1,2 m) edge size, an additional stress component due
to the pressure change inside the insulating gas volume must be
considered.
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Deflection of
glass is limited to 1/100 ... 1/200 of span. Actually, in terms of
breaking the deflection does not matter at all, because due to the low
Youngs modulus glass bends astonishing wide before breaking. I
suggest to choose the design deflection limit keeping in mind the
elasticity of the joint sealing material to obtain watertight
sealings. More important is the deflection of the steel substructure
of the glass. The allowable substructure movement can be checked by
FEM analysis too.
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6. Reduced safety after
break of redundant glass parts
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For an first analytical
assessment, loads can be reduced as following:
- wind or snow loads reduced to about 66%... 75% (approximately the
maximum wind value in 2 years, instead of the maximum value in 50
years which gives the standard wind and snow load of the codes of
practice)
- global safety factor at material resistance side reduced to 1.6
(instead of 2.4), in other words, the allowable glass stresses may be
factored by 1.5 An analysis with those parameter will give a first
answer if the glass dimension is viable at all.
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7. Glass and lateral
stability
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In general, glass should
not serve as lateral stabilization member. Actually, in most cases the
load bearing capacity of glass is sufficient for lateral stability
members. But, a sudden failure of the glass could lead to a chain
reaction collapse of those members who lost its lateral bracing, and
the whole of the building could fail. The second reason is, that
lateral bracings require a tight fit to the structure, but glass ought
to be supported without tight fit so temperature can work without
adding additional force to the glass.
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