1-35 introduction to structural glass
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7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 15
Note 35 Level 1
991290
March 2014
TheStructuralEngineer38
Technical Guidance Note
Technical
Glass has been in use for more than 5 500
years with the earliest examples being
from Egypt in the form of coloured jewellery
and small vessels to store liquids Glass
manufacture was further developed by the
Romans (Figure 1) who were the first to use it
as a glazing material It was very rare to have
glazing in households during the Roman
era being considered highly prestigious
The manufacture of glass changed little
during the Iron Age and it wasnrsquot until the
19th century that technology developed to
the point where large glass panes could be
created This led to its wholesale adoption
as a cladding material in the 1970s but its
use as a structural material is even more
recent
This is one of the reasons why a Eurocode
has yet to be created for the design of
structural glass elements It was in the 1990s
that the first steps towards a European wide
code of practice began with the release
of prEN 14174 which eventually became
prEN 16612 This is a draft methodology for
determining the bending strength of glass
using limit state theory and forms the basis
of this technical guidance note
Glass behaviour
Glass does not yield like timber and steel asit is a brittle material Its failure is diffi cult to
Introduction to
structural glassIntroduction
As with all materials the design of structural glass elements requires a good
understanding of how the material behaves when placed under load Glass is a
very strong material but also extremely brittle This key attribute causes it to
fail suddenly as it cannot yield unlike more traditional materials such as steel
and timber This fact presents unique challenges to structural engineers when
designing structural elements to be made from glass
This technical guidance note is an introduction to glass as a structuralmaterial It aims to describe glass in terms of its properties how it reacts when
subjected to various forces and the methods currently being explored and
adopted by structural engineers when designing structural glass elements
Much of the guidance written here reflects what is provided in the recently
published Institution guide Structural use of glass in buildings second edition
ICONLEGEND
983127
983127 Applied practice
983127 Further reading
983127 Web resources
Glass as astructural material
Glass as a
structural material
predict once it begins to fracture
This behaviour has been borne out from
destructive tests carried out on 6mm thick
sheets of annealed glass using the test
method described in EN 1288-2 Glass
in building Determination of the bending
strength of glass Coaxial double ring test on
flat specimens with large test surface areas
The results shown in Figure 2 show howunpredictable the failure of glass is
With glassrsquos inability to yield stress
concentrations around connections are
of great concern as they can become the
primary cause of failure To further illustrate
this point Figure 3 shows the stressstrain
curve of steel and glass This indicates how
steel extends beyond its plastic limit yet still
manages to maintain its structural integrity
whereas glass will instantly fail as soon as itexceeds its elastic limit
983118 Figure 1Roman glass vessels
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 25
wwwthestructuralengineerorg
39
Another behavioural aspect of glass
elements is that they typically deflect more
than their own thickness This requires the
adoption of large deflection theory when
designing structural glass elements which is
an unfamiliar approach to most Historically
stresses in glass have erroneously been
expressed as if small deflection theory were
valid using ad hoc methods leading to the
correct thickness This gave rise to the use
of unrealistic allowable stresses and typically
led to the oversizing of glass elements by
making them thicker than they needed to be
Quoted design stresses for use with small
deflection theory will be larger than realistic
design stresses used with large deflection
theory This is described diagrammatically in
Figure 4
Glass typesThere is actually only one core type of
soda-lime glass basic annealed It is from
this glass that all other forms are derived
as they are essentially panes of basicannealed glass that are treated during or
after the manufacturing process In order
of characteristic strength (low to high) the
forms of glass are
bull wired glass
bull patterned glass
bull annealed (or basic annealed) glass
bull heat-strengthened (or semi-tempered)
glass
bull thermally-toughened (also referred to as
heat-toughened fully-toughened and fully-
tempered) glass
bull chemically-toughened (also referred to as
chemically-tempered) glass
bull laminated glass
What follows is a very brief description of
each For a more detailed explanation refer
to Chapter 2 of Structural use of glass in
buildings second edition
Wired glass
Wired glass has a welded mesh that has
been laid into the glass while in its semi-
molten state It is sometimes thought of as
stronger than basic annealed glass because
the wires are thought to act as a form of
reinforcement In fact the opposite is true as
the wires act as crack inducers that weaken
the glass However they do provide greater
post-breakage strength as the wires reduce
the risk of glass panes falling from their
supports
Patterned glass
Patterned glass is manufactured by passing
float glass between two rollers (which is why
it was formerly known as lsquorolled glassrsquo) one
of which forms an impression or pattern in
the glass It is very diffi cult to ascertain the
base thickness (and therefore the strength)
of patterned glass This is due to the varying
thickness of patterned glass panes as well
as sandblasting and other causes of flaws
that tend to be found in the material Due
to this uncertainty the draft methodology
text prEN 16612 advises a factor of 075 beapplied to stress limits for this type of glass
If however the minimum thickness at any
section is known and the quality of the glass
itself is of a reasonable standard then it
can be used as a base against which the full
stress capacity can be applied
Basic annealed glass
Commonly made using the Float Process and
hence sometimes referred to as lsquofloat glassrsquo it
is made from silica sand soda ash limestone
and salt cake These are blended together
into a cullet which includes recycled broken
glass and heated in a furnace to 1 500ordmC
until it becomes molten glass This is then fed
onto a tin bath and controlled heating allows
the glass to flow into a uniform thickness
The molten glass is then slowly cooled within
an annealing lehroven The speed at which
the glass passes through the lehr defines
its thickness Basic annealed glass has no
intentional locked in stresses and breaks into
large shards when it fails
Heat-strengthened glass
Also known as lsquopartially toughenedrsquo or
lsquosemi-temperedrsquo this type begins life as
basic annealed glass which is then heated
to approximately 620ordmC It is then quenched
by jets of cooled air This has the effect of
cooling and solidifying the surface before
the interior has a chance to cool As the
interior cools it tries to shrink and goes
into tension This is opposed by an equal
compression in the quenched surfaces The
maximum thickness of heat-strengthened
glass is around 10-12mm due to the way in
which it is manufactured Its mode of failure
is similar to that of basic annealed glass ie
large shards
Thermally-toughened glass
Thermally-toughened glass is sometimes
called lsquofully temperedrsquo although it must be
borne in mind that the strength range is
different depending on the term adopted
Its creation follows a similar process to that
of heat-strengthened glass but with morepronounced and effective locked-in stresses
983118 Figure 4Large deflection theory vs simple deflection theory
983118 Figure 3 Stressstrain curves for steel and float glass Figure 2
Test results of failed annealed glass panes 6mm thick
Results of 740 tests on 6mm annealed glass using EN 1288-2 test methodsamples were from nine European factories
N u m
b e r o f r e s u l t s
Breakage stress Nmm2
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 35
Note 35 Level 1
991290
March 2014
TheStructuralEngineer40
Technical Guidance Note
Technical
In Europe the surface compressive stress
ranges of thermally toughened glass are
usually between 80 and 150Nmm2 When
thermally-toughened glass fails it breaks into
small fragments commonly referred to as
lsquodicersquo (Figure 5)
Chemically-toughened glass
A different pattern of stresses can be
achieved by chemical toughening in which
the composition of the surface of the glass
is altered This is achieved by dipping the
panes into electrolysis baths in which the
sodium ions on the surface of the glass are
exchanged for potassium ions which are
30 bigger (Figure 6)
The two key advantages of this process
over thermal toughening are that there is
minimal deformation during the toughening
process and thinner sheets of glass can
be toughened The disadvantage is a much
thinner surface compressive layer which is
likely to be less resistant to surface damage
than the thicker layer produced by thermal
toughening It is also significantly more
expensive than thermal toughening
Laminated glass
Laminating is a process in which two or more
pieces of glass are bonded by means of a
viscoelastic interlayer to give redundancy
post breakage The six materials that are
used for the interlayer are
bull polyvinyl butyral (PVB)
bull thermoplastic polyurethane (TPU)
bull ethyl vinyl acetate (EVA)
bull polyester (PET)
bull resins (such as acrylic)
bull ionoplast
The interlayer can be from 038 - 6mm thick
and usually comes in multiples of 038mm
for PVB Though two layers of glass is the
most common arrangement more than 25
layers have been successfully bonded in an
assembly over 100mm thick
Laminates can incorporate many
thicknesses and combinations of glass
types to give a range of products with
the required selection of mechanical and
optical properties Other materials such
as polycarbonates can be included Basic
annealed heat-strengthened and toughened
glass can all be laminated
The structural behaviour of laminated glass
depends on the type(s) of glass used and
the properties of the interlayer Generally
for the PVB and resin interlayer materials
short-term out-of-plane loads can be
resisted by both leaves acting compositely
Due to creep in the interlayer long-term
out-of-plane loads are generally considered
to act non-compositely with the loads being
shared by each leaf in proportion to their
relative stiffnesses (Figure 7) This however
is not the case with laminated glass that
has an ionoplast interlayer Such panels
exhibit some composite action even during
long-term loading conditions although their
strength is diminished somewhat This is due
to the stiffness of the ionoplast interlayer
decreasing over time
Material propertiesThe material properties for all types of glass
are as follows
bull Density = 2 500kgm3
bull Youngrsquos modulus = 70 000Nmm2
bull Poissonrsquos ratio = 022
The characteristic strength of glass
increases if it is pre-stressed The values
provided in Table 1 are based on a single
pane of glass
The coeffi cient of thermal expansion of
glass depends on its chemical composition
In basic annealed glass additives such as
alkalines can vary the coeffi cient from
8-9 10-6K-1 Borosilicate glass has a
coeffi cient of 3-5 10-6K-1 and purer silicone
dioxide glass (ie fused silica or quartz
glass) has lower values around 5 10-7K-1
this makes it useful in the construction of
cooking surfaces such as ceramic hobs
Design criteriaDraft methodology for determining the
design strength of glass (prEN 16612) is
based on applying material factors on theglass itself and coeffi cients that address the983118
Figure 6Section through toughened glass showing comparison
between stresses in thermal and chemical processes
983118 Figure 7 Section through laminated glass indicating bending
stress within plies for short-term and long-term conditions
983123 Figure 5Broken thermally-toughened glass
There is actuallyonly one core typeof soda-lime glass
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 45
wwwthestructuralengineerorg
41
load duration and the way in which the glass
has been manufactured The fundamental
tenet of the draft methodology is that the
applied bending stress ( E ULSd) must not
exceed the design bending strength ( Rd)
With the guidance being based on limit state
theory partial factors must be applied to
actions For permanent actions the partial
factor (c g) is 135 Partial factors for variable
actions (cq) are based on EN 1990-1 and are
summarised in Table 2
The calculation of the design strength is
based on the design characteristic strength
for basic annealed glass ( f gd) and is
determined using the following equation
where
f gk is the characteristic strength of basic
annealed glass (45Nmm2)
kmod is the factor for load duration (Table 3)
ksp is the factor for glass surface profile
(Table 4)
c MA is the material partial factor for basic
annealed glass (16)
Load duration has a significant impact
on structural glass elements due to the
microscopic flaws on its surface As loads
are applied to glass elements these flaws
can grow and cause cracking to the point
of overall failure of the glass In recognition
of this coeffi cient kmod has been developed
within prEN 16612 that is always applied
when determining the design strength of
glass Table 3 is a list of values for kmod with
increasing typical load duration periods
The coeffi cient ksp concerns what post-
treatment the glass panersquos surface may have
received prior to installation The values for
this coeffi cient are listed in Table 4
When considering pre-stressed glass
(ie heat-strengthened and toughened)
an additional expression is installed into
the equation for determining the design
strength of basic annealed glass
where
kv is the factor derived from the method of
strengthening of the glass (Table 5)
f bk is the characteristic bending strength of
pre-stressed glass (Table 6)
c Mv is the material partial factor for surfacepre-stressed glass (12)
f k k f
mod
g d
M A
sp g k
c=
Table 1 Characteristic strength of common types of glass
Glass type Characteristic strength (Nmm2)
Basic annealedwired 45
Heat-strengthened 70
Toughened 120
Table 3 Values for kmod
Duration Example kmod
5 seconds Single gust 100
30 seconds Domestic balustrade load 0895 minutes Workplacepublic balustrade load 077
10 minutes Multiple gust (storm) 074
30 minutes Maintenance access 069
5 hours Pedestrian access 060
1 week Snow load short-term 048
1 month Snow load medium-term 044
3 months Snow load long-term 041
50 years Permanent (eg self-weight and altitude
pressure)
029
Table 4 Values for ksp
Type of glass As produced Sandblasted
Float 10 06
Drawn sheet 10 06
Enamelled float or drawn sheet 10 06
Patterned 075 045
Enamelled patterned 075 045
Polish wired 075 045
Patterned wired 06 036
Table 5 Values for kv
Manufacturing process Strengthening factor kv
Horizontal toughening 10
Vertical toughening 06
Table 6 Values for f bkBase type Values of f bk of pre-stressed glass (Nmm2)
Thermally-toughened Heat-strengthened Chemically-toughened
Sheet float 120 70 150
Patterned 90 55 100
Enamelled float 75 45 -
Enamelledpatterned
75 45 -
( ) f
k k f k f f
mod
g d M A
sp g k
M v
v b k g k
c c= +
-
Table 2 Partial factors for variable actions (cq) on structural glass elements
Type of element Partial factor for variable actions (cq)
Primary structure 15
Secondary structure 13
Infill panel 12
Low risk infill panel 11
An infill panel whose failure would not cause injury
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 55
Note 35 Level 1
991290
March 2014
TheStructuralEngineer42
Technical Guidance Note
Technical
Eurocode 0
Applied practice
British Standards Institution (2013)
1330281354 DC BS EN 16612 Glass
in building Determination of the load
resistance of glass panes by calculation
and testing (draft for public comment)
London BSI
British Standards Institution (2000)
BS EN 1288-22000 Glass in building
Determination of the bending strength
of glass Coaxial double ring test on flat
specimens with large test surface areas
London BSI
British Standards Institution (2002) BS
EN 19902002 Basis of Structural Design
London BSI
Glossary andfurther reading
Cullet ndash crushed glass that is ready to
be melted as part of the manufacturing
process of float glass
Enamel ndash A glassy material which is
melted into the surface of the base glass
at high temperatures to form a ceramic
coating
Float glass ndash Glass which has been
manufactured by floating the molten
glass on a bed of molten tin until it sets
producing a product with surfaces which
are flat and parallel
Interlayer ndash The material used to bind
plies of glass together in laminated glass
Eurocode 0
Web resources
The Institution of Structural Engineers library
wwwistructeorgresources-centrelibrary
Pre-stressed glass ndash method of
re-heating basic annealed glass that
introduces a surface compressed stress
thus making it stronger in bending
Further ReadingThe Institution of Structural Engineers
(2014) Structural use of glass in buildings
second edition London The Institution of
Structural Engineers
In Technical Guidance Note No 9 (Level 2) lsquoDesigning a reinforced concrete retaining wallrsquo (The Structural Engineer January 2014) the worked example
contained errors which impact on the calculation of the bearing stress under the wall base
bull In Figure 3 the location point about which the wall rotates should have been positioned at the level of the base slab and not at the bottom of the heelbeam (see revised version below)
bull The surcharge should have been included in the bearing stress calculation which equates to an additional 30kNm of unfactored load being applied to
the section of the base below the surcharge
bull The corrected pivot point results in a revised calculated design bearing stress under the base of the wall of 22606 kNm2 (maximum) and 5119 kNm2
(minimum) Therefore there is no resulting tension between the soil and the base of the wall
Errata
Incorrect pivot point asused in original Figure 3
Assumedexcavation
Corrected pivot point at toe
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7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 25
wwwthestructuralengineerorg
39
Another behavioural aspect of glass
elements is that they typically deflect more
than their own thickness This requires the
adoption of large deflection theory when
designing structural glass elements which is
an unfamiliar approach to most Historically
stresses in glass have erroneously been
expressed as if small deflection theory were
valid using ad hoc methods leading to the
correct thickness This gave rise to the use
of unrealistic allowable stresses and typically
led to the oversizing of glass elements by
making them thicker than they needed to be
Quoted design stresses for use with small
deflection theory will be larger than realistic
design stresses used with large deflection
theory This is described diagrammatically in
Figure 4
Glass typesThere is actually only one core type of
soda-lime glass basic annealed It is from
this glass that all other forms are derived
as they are essentially panes of basicannealed glass that are treated during or
after the manufacturing process In order
of characteristic strength (low to high) the
forms of glass are
bull wired glass
bull patterned glass
bull annealed (or basic annealed) glass
bull heat-strengthened (or semi-tempered)
glass
bull thermally-toughened (also referred to as
heat-toughened fully-toughened and fully-
tempered) glass
bull chemically-toughened (also referred to as
chemically-tempered) glass
bull laminated glass
What follows is a very brief description of
each For a more detailed explanation refer
to Chapter 2 of Structural use of glass in
buildings second edition
Wired glass
Wired glass has a welded mesh that has
been laid into the glass while in its semi-
molten state It is sometimes thought of as
stronger than basic annealed glass because
the wires are thought to act as a form of
reinforcement In fact the opposite is true as
the wires act as crack inducers that weaken
the glass However they do provide greater
post-breakage strength as the wires reduce
the risk of glass panes falling from their
supports
Patterned glass
Patterned glass is manufactured by passing
float glass between two rollers (which is why
it was formerly known as lsquorolled glassrsquo) one
of which forms an impression or pattern in
the glass It is very diffi cult to ascertain the
base thickness (and therefore the strength)
of patterned glass This is due to the varying
thickness of patterned glass panes as well
as sandblasting and other causes of flaws
that tend to be found in the material Due
to this uncertainty the draft methodology
text prEN 16612 advises a factor of 075 beapplied to stress limits for this type of glass
If however the minimum thickness at any
section is known and the quality of the glass
itself is of a reasonable standard then it
can be used as a base against which the full
stress capacity can be applied
Basic annealed glass
Commonly made using the Float Process and
hence sometimes referred to as lsquofloat glassrsquo it
is made from silica sand soda ash limestone
and salt cake These are blended together
into a cullet which includes recycled broken
glass and heated in a furnace to 1 500ordmC
until it becomes molten glass This is then fed
onto a tin bath and controlled heating allows
the glass to flow into a uniform thickness
The molten glass is then slowly cooled within
an annealing lehroven The speed at which
the glass passes through the lehr defines
its thickness Basic annealed glass has no
intentional locked in stresses and breaks into
large shards when it fails
Heat-strengthened glass
Also known as lsquopartially toughenedrsquo or
lsquosemi-temperedrsquo this type begins life as
basic annealed glass which is then heated
to approximately 620ordmC It is then quenched
by jets of cooled air This has the effect of
cooling and solidifying the surface before
the interior has a chance to cool As the
interior cools it tries to shrink and goes
into tension This is opposed by an equal
compression in the quenched surfaces The
maximum thickness of heat-strengthened
glass is around 10-12mm due to the way in
which it is manufactured Its mode of failure
is similar to that of basic annealed glass ie
large shards
Thermally-toughened glass
Thermally-toughened glass is sometimes
called lsquofully temperedrsquo although it must be
borne in mind that the strength range is
different depending on the term adopted
Its creation follows a similar process to that
of heat-strengthened glass but with morepronounced and effective locked-in stresses
983118 Figure 4Large deflection theory vs simple deflection theory
983118 Figure 3 Stressstrain curves for steel and float glass Figure 2
Test results of failed annealed glass panes 6mm thick
Results of 740 tests on 6mm annealed glass using EN 1288-2 test methodsamples were from nine European factories
N u m
b e r o f r e s u l t s
Breakage stress Nmm2
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 35
Note 35 Level 1
991290
March 2014
TheStructuralEngineer40
Technical Guidance Note
Technical
In Europe the surface compressive stress
ranges of thermally toughened glass are
usually between 80 and 150Nmm2 When
thermally-toughened glass fails it breaks into
small fragments commonly referred to as
lsquodicersquo (Figure 5)
Chemically-toughened glass
A different pattern of stresses can be
achieved by chemical toughening in which
the composition of the surface of the glass
is altered This is achieved by dipping the
panes into electrolysis baths in which the
sodium ions on the surface of the glass are
exchanged for potassium ions which are
30 bigger (Figure 6)
The two key advantages of this process
over thermal toughening are that there is
minimal deformation during the toughening
process and thinner sheets of glass can
be toughened The disadvantage is a much
thinner surface compressive layer which is
likely to be less resistant to surface damage
than the thicker layer produced by thermal
toughening It is also significantly more
expensive than thermal toughening
Laminated glass
Laminating is a process in which two or more
pieces of glass are bonded by means of a
viscoelastic interlayer to give redundancy
post breakage The six materials that are
used for the interlayer are
bull polyvinyl butyral (PVB)
bull thermoplastic polyurethane (TPU)
bull ethyl vinyl acetate (EVA)
bull polyester (PET)
bull resins (such as acrylic)
bull ionoplast
The interlayer can be from 038 - 6mm thick
and usually comes in multiples of 038mm
for PVB Though two layers of glass is the
most common arrangement more than 25
layers have been successfully bonded in an
assembly over 100mm thick
Laminates can incorporate many
thicknesses and combinations of glass
types to give a range of products with
the required selection of mechanical and
optical properties Other materials such
as polycarbonates can be included Basic
annealed heat-strengthened and toughened
glass can all be laminated
The structural behaviour of laminated glass
depends on the type(s) of glass used and
the properties of the interlayer Generally
for the PVB and resin interlayer materials
short-term out-of-plane loads can be
resisted by both leaves acting compositely
Due to creep in the interlayer long-term
out-of-plane loads are generally considered
to act non-compositely with the loads being
shared by each leaf in proportion to their
relative stiffnesses (Figure 7) This however
is not the case with laminated glass that
has an ionoplast interlayer Such panels
exhibit some composite action even during
long-term loading conditions although their
strength is diminished somewhat This is due
to the stiffness of the ionoplast interlayer
decreasing over time
Material propertiesThe material properties for all types of glass
are as follows
bull Density = 2 500kgm3
bull Youngrsquos modulus = 70 000Nmm2
bull Poissonrsquos ratio = 022
The characteristic strength of glass
increases if it is pre-stressed The values
provided in Table 1 are based on a single
pane of glass
The coeffi cient of thermal expansion of
glass depends on its chemical composition
In basic annealed glass additives such as
alkalines can vary the coeffi cient from
8-9 10-6K-1 Borosilicate glass has a
coeffi cient of 3-5 10-6K-1 and purer silicone
dioxide glass (ie fused silica or quartz
glass) has lower values around 5 10-7K-1
this makes it useful in the construction of
cooking surfaces such as ceramic hobs
Design criteriaDraft methodology for determining the
design strength of glass (prEN 16612) is
based on applying material factors on theglass itself and coeffi cients that address the983118
Figure 6Section through toughened glass showing comparison
between stresses in thermal and chemical processes
983118 Figure 7 Section through laminated glass indicating bending
stress within plies for short-term and long-term conditions
983123 Figure 5Broken thermally-toughened glass
There is actuallyonly one core typeof soda-lime glass
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 45
wwwthestructuralengineerorg
41
load duration and the way in which the glass
has been manufactured The fundamental
tenet of the draft methodology is that the
applied bending stress ( E ULSd) must not
exceed the design bending strength ( Rd)
With the guidance being based on limit state
theory partial factors must be applied to
actions For permanent actions the partial
factor (c g) is 135 Partial factors for variable
actions (cq) are based on EN 1990-1 and are
summarised in Table 2
The calculation of the design strength is
based on the design characteristic strength
for basic annealed glass ( f gd) and is
determined using the following equation
where
f gk is the characteristic strength of basic
annealed glass (45Nmm2)
kmod is the factor for load duration (Table 3)
ksp is the factor for glass surface profile
(Table 4)
c MA is the material partial factor for basic
annealed glass (16)
Load duration has a significant impact
on structural glass elements due to the
microscopic flaws on its surface As loads
are applied to glass elements these flaws
can grow and cause cracking to the point
of overall failure of the glass In recognition
of this coeffi cient kmod has been developed
within prEN 16612 that is always applied
when determining the design strength of
glass Table 3 is a list of values for kmod with
increasing typical load duration periods
The coeffi cient ksp concerns what post-
treatment the glass panersquos surface may have
received prior to installation The values for
this coeffi cient are listed in Table 4
When considering pre-stressed glass
(ie heat-strengthened and toughened)
an additional expression is installed into
the equation for determining the design
strength of basic annealed glass
where
kv is the factor derived from the method of
strengthening of the glass (Table 5)
f bk is the characteristic bending strength of
pre-stressed glass (Table 6)
c Mv is the material partial factor for surfacepre-stressed glass (12)
f k k f
mod
g d
M A
sp g k
c=
Table 1 Characteristic strength of common types of glass
Glass type Characteristic strength (Nmm2)
Basic annealedwired 45
Heat-strengthened 70
Toughened 120
Table 3 Values for kmod
Duration Example kmod
5 seconds Single gust 100
30 seconds Domestic balustrade load 0895 minutes Workplacepublic balustrade load 077
10 minutes Multiple gust (storm) 074
30 minutes Maintenance access 069
5 hours Pedestrian access 060
1 week Snow load short-term 048
1 month Snow load medium-term 044
3 months Snow load long-term 041
50 years Permanent (eg self-weight and altitude
pressure)
029
Table 4 Values for ksp
Type of glass As produced Sandblasted
Float 10 06
Drawn sheet 10 06
Enamelled float or drawn sheet 10 06
Patterned 075 045
Enamelled patterned 075 045
Polish wired 075 045
Patterned wired 06 036
Table 5 Values for kv
Manufacturing process Strengthening factor kv
Horizontal toughening 10
Vertical toughening 06
Table 6 Values for f bkBase type Values of f bk of pre-stressed glass (Nmm2)
Thermally-toughened Heat-strengthened Chemically-toughened
Sheet float 120 70 150
Patterned 90 55 100
Enamelled float 75 45 -
Enamelledpatterned
75 45 -
( ) f
k k f k f f
mod
g d M A
sp g k
M v
v b k g k
c c= +
-
Table 2 Partial factors for variable actions (cq) on structural glass elements
Type of element Partial factor for variable actions (cq)
Primary structure 15
Secondary structure 13
Infill panel 12
Low risk infill panel 11
An infill panel whose failure would not cause injury
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 55
Note 35 Level 1
991290
March 2014
TheStructuralEngineer42
Technical Guidance Note
Technical
Eurocode 0
Applied practice
British Standards Institution (2013)
1330281354 DC BS EN 16612 Glass
in building Determination of the load
resistance of glass panes by calculation
and testing (draft for public comment)
London BSI
British Standards Institution (2000)
BS EN 1288-22000 Glass in building
Determination of the bending strength
of glass Coaxial double ring test on flat
specimens with large test surface areas
London BSI
British Standards Institution (2002) BS
EN 19902002 Basis of Structural Design
London BSI
Glossary andfurther reading
Cullet ndash crushed glass that is ready to
be melted as part of the manufacturing
process of float glass
Enamel ndash A glassy material which is
melted into the surface of the base glass
at high temperatures to form a ceramic
coating
Float glass ndash Glass which has been
manufactured by floating the molten
glass on a bed of molten tin until it sets
producing a product with surfaces which
are flat and parallel
Interlayer ndash The material used to bind
plies of glass together in laminated glass
Eurocode 0
Web resources
The Institution of Structural Engineers library
wwwistructeorgresources-centrelibrary
Pre-stressed glass ndash method of
re-heating basic annealed glass that
introduces a surface compressed stress
thus making it stronger in bending
Further ReadingThe Institution of Structural Engineers
(2014) Structural use of glass in buildings
second edition London The Institution of
Structural Engineers
In Technical Guidance Note No 9 (Level 2) lsquoDesigning a reinforced concrete retaining wallrsquo (The Structural Engineer January 2014) the worked example
contained errors which impact on the calculation of the bearing stress under the wall base
bull In Figure 3 the location point about which the wall rotates should have been positioned at the level of the base slab and not at the bottom of the heelbeam (see revised version below)
bull The surcharge should have been included in the bearing stress calculation which equates to an additional 30kNm of unfactored load being applied to
the section of the base below the surcharge
bull The corrected pivot point results in a revised calculated design bearing stress under the base of the wall of 22606 kNm2 (maximum) and 5119 kNm2
(minimum) Therefore there is no resulting tension between the soil and the base of the wall
Errata
Incorrect pivot point asused in original Figure 3
Assumedexcavation
Corrected pivot point at toe
![Page 3: 1-35 Introduction to Structural Glass](https://reader035.vdocuments.site/reader035/viewer/2022081722/5695d3f11a28ab9b029fb74a/html5/thumbnails/3.jpg)
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 35
Note 35 Level 1
991290
March 2014
TheStructuralEngineer40
Technical Guidance Note
Technical
In Europe the surface compressive stress
ranges of thermally toughened glass are
usually between 80 and 150Nmm2 When
thermally-toughened glass fails it breaks into
small fragments commonly referred to as
lsquodicersquo (Figure 5)
Chemically-toughened glass
A different pattern of stresses can be
achieved by chemical toughening in which
the composition of the surface of the glass
is altered This is achieved by dipping the
panes into electrolysis baths in which the
sodium ions on the surface of the glass are
exchanged for potassium ions which are
30 bigger (Figure 6)
The two key advantages of this process
over thermal toughening are that there is
minimal deformation during the toughening
process and thinner sheets of glass can
be toughened The disadvantage is a much
thinner surface compressive layer which is
likely to be less resistant to surface damage
than the thicker layer produced by thermal
toughening It is also significantly more
expensive than thermal toughening
Laminated glass
Laminating is a process in which two or more
pieces of glass are bonded by means of a
viscoelastic interlayer to give redundancy
post breakage The six materials that are
used for the interlayer are
bull polyvinyl butyral (PVB)
bull thermoplastic polyurethane (TPU)
bull ethyl vinyl acetate (EVA)
bull polyester (PET)
bull resins (such as acrylic)
bull ionoplast
The interlayer can be from 038 - 6mm thick
and usually comes in multiples of 038mm
for PVB Though two layers of glass is the
most common arrangement more than 25
layers have been successfully bonded in an
assembly over 100mm thick
Laminates can incorporate many
thicknesses and combinations of glass
types to give a range of products with
the required selection of mechanical and
optical properties Other materials such
as polycarbonates can be included Basic
annealed heat-strengthened and toughened
glass can all be laminated
The structural behaviour of laminated glass
depends on the type(s) of glass used and
the properties of the interlayer Generally
for the PVB and resin interlayer materials
short-term out-of-plane loads can be
resisted by both leaves acting compositely
Due to creep in the interlayer long-term
out-of-plane loads are generally considered
to act non-compositely with the loads being
shared by each leaf in proportion to their
relative stiffnesses (Figure 7) This however
is not the case with laminated glass that
has an ionoplast interlayer Such panels
exhibit some composite action even during
long-term loading conditions although their
strength is diminished somewhat This is due
to the stiffness of the ionoplast interlayer
decreasing over time
Material propertiesThe material properties for all types of glass
are as follows
bull Density = 2 500kgm3
bull Youngrsquos modulus = 70 000Nmm2
bull Poissonrsquos ratio = 022
The characteristic strength of glass
increases if it is pre-stressed The values
provided in Table 1 are based on a single
pane of glass
The coeffi cient of thermal expansion of
glass depends on its chemical composition
In basic annealed glass additives such as
alkalines can vary the coeffi cient from
8-9 10-6K-1 Borosilicate glass has a
coeffi cient of 3-5 10-6K-1 and purer silicone
dioxide glass (ie fused silica or quartz
glass) has lower values around 5 10-7K-1
this makes it useful in the construction of
cooking surfaces such as ceramic hobs
Design criteriaDraft methodology for determining the
design strength of glass (prEN 16612) is
based on applying material factors on theglass itself and coeffi cients that address the983118
Figure 6Section through toughened glass showing comparison
between stresses in thermal and chemical processes
983118 Figure 7 Section through laminated glass indicating bending
stress within plies for short-term and long-term conditions
983123 Figure 5Broken thermally-toughened glass
There is actuallyonly one core typeof soda-lime glass
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 45
wwwthestructuralengineerorg
41
load duration and the way in which the glass
has been manufactured The fundamental
tenet of the draft methodology is that the
applied bending stress ( E ULSd) must not
exceed the design bending strength ( Rd)
With the guidance being based on limit state
theory partial factors must be applied to
actions For permanent actions the partial
factor (c g) is 135 Partial factors for variable
actions (cq) are based on EN 1990-1 and are
summarised in Table 2
The calculation of the design strength is
based on the design characteristic strength
for basic annealed glass ( f gd) and is
determined using the following equation
where
f gk is the characteristic strength of basic
annealed glass (45Nmm2)
kmod is the factor for load duration (Table 3)
ksp is the factor for glass surface profile
(Table 4)
c MA is the material partial factor for basic
annealed glass (16)
Load duration has a significant impact
on structural glass elements due to the
microscopic flaws on its surface As loads
are applied to glass elements these flaws
can grow and cause cracking to the point
of overall failure of the glass In recognition
of this coeffi cient kmod has been developed
within prEN 16612 that is always applied
when determining the design strength of
glass Table 3 is a list of values for kmod with
increasing typical load duration periods
The coeffi cient ksp concerns what post-
treatment the glass panersquos surface may have
received prior to installation The values for
this coeffi cient are listed in Table 4
When considering pre-stressed glass
(ie heat-strengthened and toughened)
an additional expression is installed into
the equation for determining the design
strength of basic annealed glass
where
kv is the factor derived from the method of
strengthening of the glass (Table 5)
f bk is the characteristic bending strength of
pre-stressed glass (Table 6)
c Mv is the material partial factor for surfacepre-stressed glass (12)
f k k f
mod
g d
M A
sp g k
c=
Table 1 Characteristic strength of common types of glass
Glass type Characteristic strength (Nmm2)
Basic annealedwired 45
Heat-strengthened 70
Toughened 120
Table 3 Values for kmod
Duration Example kmod
5 seconds Single gust 100
30 seconds Domestic balustrade load 0895 minutes Workplacepublic balustrade load 077
10 minutes Multiple gust (storm) 074
30 minutes Maintenance access 069
5 hours Pedestrian access 060
1 week Snow load short-term 048
1 month Snow load medium-term 044
3 months Snow load long-term 041
50 years Permanent (eg self-weight and altitude
pressure)
029
Table 4 Values for ksp
Type of glass As produced Sandblasted
Float 10 06
Drawn sheet 10 06
Enamelled float or drawn sheet 10 06
Patterned 075 045
Enamelled patterned 075 045
Polish wired 075 045
Patterned wired 06 036
Table 5 Values for kv
Manufacturing process Strengthening factor kv
Horizontal toughening 10
Vertical toughening 06
Table 6 Values for f bkBase type Values of f bk of pre-stressed glass (Nmm2)
Thermally-toughened Heat-strengthened Chemically-toughened
Sheet float 120 70 150
Patterned 90 55 100
Enamelled float 75 45 -
Enamelledpatterned
75 45 -
( ) f
k k f k f f
mod
g d M A
sp g k
M v
v b k g k
c c= +
-
Table 2 Partial factors for variable actions (cq) on structural glass elements
Type of element Partial factor for variable actions (cq)
Primary structure 15
Secondary structure 13
Infill panel 12
Low risk infill panel 11
An infill panel whose failure would not cause injury
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 55
Note 35 Level 1
991290
March 2014
TheStructuralEngineer42
Technical Guidance Note
Technical
Eurocode 0
Applied practice
British Standards Institution (2013)
1330281354 DC BS EN 16612 Glass
in building Determination of the load
resistance of glass panes by calculation
and testing (draft for public comment)
London BSI
British Standards Institution (2000)
BS EN 1288-22000 Glass in building
Determination of the bending strength
of glass Coaxial double ring test on flat
specimens with large test surface areas
London BSI
British Standards Institution (2002) BS
EN 19902002 Basis of Structural Design
London BSI
Glossary andfurther reading
Cullet ndash crushed glass that is ready to
be melted as part of the manufacturing
process of float glass
Enamel ndash A glassy material which is
melted into the surface of the base glass
at high temperatures to form a ceramic
coating
Float glass ndash Glass which has been
manufactured by floating the molten
glass on a bed of molten tin until it sets
producing a product with surfaces which
are flat and parallel
Interlayer ndash The material used to bind
plies of glass together in laminated glass
Eurocode 0
Web resources
The Institution of Structural Engineers library
wwwistructeorgresources-centrelibrary
Pre-stressed glass ndash method of
re-heating basic annealed glass that
introduces a surface compressed stress
thus making it stronger in bending
Further ReadingThe Institution of Structural Engineers
(2014) Structural use of glass in buildings
second edition London The Institution of
Structural Engineers
In Technical Guidance Note No 9 (Level 2) lsquoDesigning a reinforced concrete retaining wallrsquo (The Structural Engineer January 2014) the worked example
contained errors which impact on the calculation of the bearing stress under the wall base
bull In Figure 3 the location point about which the wall rotates should have been positioned at the level of the base slab and not at the bottom of the heelbeam (see revised version below)
bull The surcharge should have been included in the bearing stress calculation which equates to an additional 30kNm of unfactored load being applied to
the section of the base below the surcharge
bull The corrected pivot point results in a revised calculated design bearing stress under the base of the wall of 22606 kNm2 (maximum) and 5119 kNm2
(minimum) Therefore there is no resulting tension between the soil and the base of the wall
Errata
Incorrect pivot point asused in original Figure 3
Assumedexcavation
Corrected pivot point at toe
![Page 4: 1-35 Introduction to Structural Glass](https://reader035.vdocuments.site/reader035/viewer/2022081722/5695d3f11a28ab9b029fb74a/html5/thumbnails/4.jpg)
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 45
wwwthestructuralengineerorg
41
load duration and the way in which the glass
has been manufactured The fundamental
tenet of the draft methodology is that the
applied bending stress ( E ULSd) must not
exceed the design bending strength ( Rd)
With the guidance being based on limit state
theory partial factors must be applied to
actions For permanent actions the partial
factor (c g) is 135 Partial factors for variable
actions (cq) are based on EN 1990-1 and are
summarised in Table 2
The calculation of the design strength is
based on the design characteristic strength
for basic annealed glass ( f gd) and is
determined using the following equation
where
f gk is the characteristic strength of basic
annealed glass (45Nmm2)
kmod is the factor for load duration (Table 3)
ksp is the factor for glass surface profile
(Table 4)
c MA is the material partial factor for basic
annealed glass (16)
Load duration has a significant impact
on structural glass elements due to the
microscopic flaws on its surface As loads
are applied to glass elements these flaws
can grow and cause cracking to the point
of overall failure of the glass In recognition
of this coeffi cient kmod has been developed
within prEN 16612 that is always applied
when determining the design strength of
glass Table 3 is a list of values for kmod with
increasing typical load duration periods
The coeffi cient ksp concerns what post-
treatment the glass panersquos surface may have
received prior to installation The values for
this coeffi cient are listed in Table 4
When considering pre-stressed glass
(ie heat-strengthened and toughened)
an additional expression is installed into
the equation for determining the design
strength of basic annealed glass
where
kv is the factor derived from the method of
strengthening of the glass (Table 5)
f bk is the characteristic bending strength of
pre-stressed glass (Table 6)
c Mv is the material partial factor for surfacepre-stressed glass (12)
f k k f
mod
g d
M A
sp g k
c=
Table 1 Characteristic strength of common types of glass
Glass type Characteristic strength (Nmm2)
Basic annealedwired 45
Heat-strengthened 70
Toughened 120
Table 3 Values for kmod
Duration Example kmod
5 seconds Single gust 100
30 seconds Domestic balustrade load 0895 minutes Workplacepublic balustrade load 077
10 minutes Multiple gust (storm) 074
30 minutes Maintenance access 069
5 hours Pedestrian access 060
1 week Snow load short-term 048
1 month Snow load medium-term 044
3 months Snow load long-term 041
50 years Permanent (eg self-weight and altitude
pressure)
029
Table 4 Values for ksp
Type of glass As produced Sandblasted
Float 10 06
Drawn sheet 10 06
Enamelled float or drawn sheet 10 06
Patterned 075 045
Enamelled patterned 075 045
Polish wired 075 045
Patterned wired 06 036
Table 5 Values for kv
Manufacturing process Strengthening factor kv
Horizontal toughening 10
Vertical toughening 06
Table 6 Values for f bkBase type Values of f bk of pre-stressed glass (Nmm2)
Thermally-toughened Heat-strengthened Chemically-toughened
Sheet float 120 70 150
Patterned 90 55 100
Enamelled float 75 45 -
Enamelledpatterned
75 45 -
( ) f
k k f k f f
mod
g d M A
sp g k
M v
v b k g k
c c= +
-
Table 2 Partial factors for variable actions (cq) on structural glass elements
Type of element Partial factor for variable actions (cq)
Primary structure 15
Secondary structure 13
Infill panel 12
Low risk infill panel 11
An infill panel whose failure would not cause injury
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 55
Note 35 Level 1
991290
March 2014
TheStructuralEngineer42
Technical Guidance Note
Technical
Eurocode 0
Applied practice
British Standards Institution (2013)
1330281354 DC BS EN 16612 Glass
in building Determination of the load
resistance of glass panes by calculation
and testing (draft for public comment)
London BSI
British Standards Institution (2000)
BS EN 1288-22000 Glass in building
Determination of the bending strength
of glass Coaxial double ring test on flat
specimens with large test surface areas
London BSI
British Standards Institution (2002) BS
EN 19902002 Basis of Structural Design
London BSI
Glossary andfurther reading
Cullet ndash crushed glass that is ready to
be melted as part of the manufacturing
process of float glass
Enamel ndash A glassy material which is
melted into the surface of the base glass
at high temperatures to form a ceramic
coating
Float glass ndash Glass which has been
manufactured by floating the molten
glass on a bed of molten tin until it sets
producing a product with surfaces which
are flat and parallel
Interlayer ndash The material used to bind
plies of glass together in laminated glass
Eurocode 0
Web resources
The Institution of Structural Engineers library
wwwistructeorgresources-centrelibrary
Pre-stressed glass ndash method of
re-heating basic annealed glass that
introduces a surface compressed stress
thus making it stronger in bending
Further ReadingThe Institution of Structural Engineers
(2014) Structural use of glass in buildings
second edition London The Institution of
Structural Engineers
In Technical Guidance Note No 9 (Level 2) lsquoDesigning a reinforced concrete retaining wallrsquo (The Structural Engineer January 2014) the worked example
contained errors which impact on the calculation of the bearing stress under the wall base
bull In Figure 3 the location point about which the wall rotates should have been positioned at the level of the base slab and not at the bottom of the heelbeam (see revised version below)
bull The surcharge should have been included in the bearing stress calculation which equates to an additional 30kNm of unfactored load being applied to
the section of the base below the surcharge
bull The corrected pivot point results in a revised calculated design bearing stress under the base of the wall of 22606 kNm2 (maximum) and 5119 kNm2
(minimum) Therefore there is no resulting tension between the soil and the base of the wall
Errata
Incorrect pivot point asused in original Figure 3
Assumedexcavation
Corrected pivot point at toe
![Page 5: 1-35 Introduction to Structural Glass](https://reader035.vdocuments.site/reader035/viewer/2022081722/5695d3f11a28ab9b029fb74a/html5/thumbnails/5.jpg)
7212019 1-35 Introduction to Structural Glass
httpslidepdfcomreaderfull1-35-introduction-to-structural-glass 55
Note 35 Level 1
991290
March 2014
TheStructuralEngineer42
Technical Guidance Note
Technical
Eurocode 0
Applied practice
British Standards Institution (2013)
1330281354 DC BS EN 16612 Glass
in building Determination of the load
resistance of glass panes by calculation
and testing (draft for public comment)
London BSI
British Standards Institution (2000)
BS EN 1288-22000 Glass in building
Determination of the bending strength
of glass Coaxial double ring test on flat
specimens with large test surface areas
London BSI
British Standards Institution (2002) BS
EN 19902002 Basis of Structural Design
London BSI
Glossary andfurther reading
Cullet ndash crushed glass that is ready to
be melted as part of the manufacturing
process of float glass
Enamel ndash A glassy material which is
melted into the surface of the base glass
at high temperatures to form a ceramic
coating
Float glass ndash Glass which has been
manufactured by floating the molten
glass on a bed of molten tin until it sets
producing a product with surfaces which
are flat and parallel
Interlayer ndash The material used to bind
plies of glass together in laminated glass
Eurocode 0
Web resources
The Institution of Structural Engineers library
wwwistructeorgresources-centrelibrary
Pre-stressed glass ndash method of
re-heating basic annealed glass that
introduces a surface compressed stress
thus making it stronger in bending
Further ReadingThe Institution of Structural Engineers
(2014) Structural use of glass in buildings
second edition London The Institution of
Structural Engineers
In Technical Guidance Note No 9 (Level 2) lsquoDesigning a reinforced concrete retaining wallrsquo (The Structural Engineer January 2014) the worked example
contained errors which impact on the calculation of the bearing stress under the wall base
bull In Figure 3 the location point about which the wall rotates should have been positioned at the level of the base slab and not at the bottom of the heelbeam (see revised version below)
bull The surcharge should have been included in the bearing stress calculation which equates to an additional 30kNm of unfactored load being applied to
the section of the base below the surcharge
bull The corrected pivot point results in a revised calculated design bearing stress under the base of the wall of 22606 kNm2 (maximum) and 5119 kNm2
(minimum) Therefore there is no resulting tension between the soil and the base of the wall
Errata
Incorrect pivot point asused in original Figure 3
Assumedexcavation
Corrected pivot point at toe