learning from failures in timber structures...learning from failures in timber structures dr. eva...
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Learning from failures
in timber structures
Dr. Eva Frühwald Hansson, Div. of Structural Engineering, LTH
Timber Engineering PhD course 2017
Outline
• Failure – error ?
• Why learning from failures ?
• Research projects
– Nordic Study (until 2007)
– Swedish Collapses during winter 2009/2010
• Explicit cases
• What can we learn from failures?
Definition of failure (1)
• Failure is a deviation from the status quo.
• Failure is not meeting target expectations.
• Failure is any secondary defect.
Definition of failure (2)
Ultimate limit state
• Risk for human life, negative effect on safety and performance of structure
– Direct collapse of structures
– Local cracking
– Crushing
– degradation
Serviceability limit state
• No consequence for safety of structure
– Vibrating floors
– Excessive deformations
– Moisture movements
– Mould and fungi
Why should we learn from previous
failures / collapses ?
Hypothesis:
All failures are caused by human errors.
• Errors of knowledge (inadequate training in relation to tasks)
• Errors of performance (non-professional performance, carelessness)
• Errors of intent (consciously taking short-cuts and risks to save time/money)
Should be possible to prevent failures
[Kaminetzky]
Learning from failures
Education and training are the only effective
ways to minimize failures.
The training of an engineer, architect or
contractor should provide an understanding not
only of the best solutions that may be adopted,
but also of practices that should be avoided.
(Kaminetzky, 1991)
Previous studies: common failure causes• Concrete
– material quality
– work execution
– structural design and detailing (joints, openings, supports,…)
• Steel– insufficient temporary bracing during construction
– errors in design / construction mainly of connections and details
– deficient welding
– excessive flexibility and non redundant design
– Vibration induced failures
– stability type failures
– fatigue and brittle failure
– corrosion damage
• Timber– inadequate behavior of joints
– effects of moisture exposure (imposed strains, shrinkage)
– poor durability performance
– inadequate bracing of structural system
– inadequate performance of material and products
– inadequate appreciation of load
Previous studies: common failure causes• Concrete
– material quality
– work execution
– structural design and detailing (joints, openings, supports,…)
• Steel– insufficient temporary bracing during construction
– errors in design / construction mainly of connections and details
– deficient welding
– excessive flexibility and non redundant design
– Vibration induced failures
– stability type failures
– fatigue and brittle failure
– corrosion damage
• Timber– inadequate behavior of joints
– effects of moisture exposure (imposed strains, shrinkage)
– poor durability performance
– inadequate bracing of structural system
– inadequate performance of material and products
– inadequate appreciation of load
Level of safety in timber structures
• Is the level of safety adequate for timber structures
compared to other materials?
– Implementation of Eurocode 5 (national application rules)
– Spectacular collapses of timber structures in Europe
Swedish-Finnish project 2005-2007
• Research questions investigating collapsed buildings
– Reasons for failure?
– Which type of components are most prone to failure?
– Which failure modes are most frequent?
– What can be done to avoid or reduce failures?
Survey of failure cases(Swedish-Finnish survey)
• 4 partners
• 127 cases – literature
– own investigations
• Only cases implying risk for human lives are included (ULS)!
report1. Introduction
2. Experiences from previous
failure investigations
3. Present survey of failure
cases - methodology
4. Results and interpretation
of the information collected
5. How can we learn from
previous failures
6. Summary and conclusions
Annexe– Overview failure cases
and classification
– 127 cases, 1-2 pages / case
example
Classification of error types causing failure
1. Wood material performance
2. Manufacturing errors in factory
3. Poor manufacturing principles
4. On-site alterations
5. Poor principles during erection
6. Poor design / lack of design with respect to mechanical loading
7. Poor design / lack of design with respect to environmental actions
8. Overload in relation to building regulations
9. Other / unknown reasons
Materials & products
Construction work
Design/planning
Codes
Multiple failure types: estimate of the weight of each failure type
Failure cause (127 cases)Wood material performance 1%
Manufacturing errors in factory 5%
Manufacturing principles 4%
Design
(mechanical loading)
42%
Design (environmental
actions) 11%
On-site alterations
12%
Poor principles
during erection 16%
Overload / codes 4%
Other / unknown 5%
Failure cause (127 cases)
Design / planning
53%
Construction work
27%
Overload / codes 4%
Unknown / other 5%Materials and products
11%
Type of buildings
in percentage of cases
Public 51
Industrial 23
Agricultural 7
Apartment 8
Other / unknown 11
• NOTE: Failure surveys in general can not be seen as representative for the general population of structures (cover up of mistakes is common, random sampling is impossible)
0
10
20
30
40
50
60
70
80
90
100
sp
an
[m
]
Span
16% < 10 m
84% > 10 m
25 m
Age at failure
0
5
10
15
20
25
0 1 2 3 4 5 6-10 11-15 16-20 21-25 26-30 31-35 36-40
age /years
% o
f f
ailu
res
0 1 2 3 4 5 6-10 11-15 16-20 21-25 26-30 31-35 36-40
years
0
15
10
5
20
25
% o
f fa
ilure
s
Type of structural elements that failed
in percentage of cases
beam 47
truss 34
bracing 29
joint 23
arch 8
column 4
frame 2
dowel-type 57
punched metal plate 10
glued 7
other 27
Correlated with typical structural elements?!
Failure modes
in percentage of cases
• instability 30
• bending failure 15
• tension failure perp. to grain 11
• shear failure 9
• drying cracks 9
• excessive deflection 7
• tension failure 5
• corrosion of fasteners / decay 4
• withdrawal of fasteners 3
• compression (buckling) 2
• other / unknown 21
Timber, steel and concrete buildings:
failure causes
Failure cause[in % of cases]
Timber [own survey]
Steel [Oehme, Vogt]
Concrete [Brand, Glatz ]
Design / planning 53 35 40
Construction work 27 25 40
Maintenance / reuse 35
material 11
other 9 5 20
difficult to compare – definition of categories, number of cases etc.
Question: Are engineers better at designing
steel and concrete structures !?
How can we learn from previous failures?
human errors
Errors of intentErrors of knowledge Errors of performance
improved
training and
education
more efficient
Quality
Assurance (QA)
more efficient
Quality Assurance
(QA) ?
53 % design / planning
27 % construction work
Training & education
• Should focus on technical aspects which are typical causes for failure
• Training of engineers and control in the design / planning phase most important (most errors!)
• Training & education measurements– Lectures on good and bad examples for students / practicing
engineers
– Database on good / bad examples
– Certain technical aspects
– …
Learning from each others mistakes
Training & education: examples for issues to be emphasized
• Bracing to avoid instability both during construction and in the finished structure
• Situations with risk for perpendicular to grain tensile failure (joints, double-tapered beams, curved beams,…)
• Consideration of moisture effects
• Design of joints
• Estimation of loading conditions
• Estimation of real behavior of the structure
Training & education:
building site professionals
• Increasing the competence of building site professionals
– Professional training
– Assigned training / certified personnel to perform
certain tasks
– Continuous courses and seminars
• External quality control by impartial and certified
personnel
Collapses in Sweden
winter 2009/2010/2011
• Snowy winter
• Many collapses during
january/february 2010
Number of collapses
per municipality
Reported collapses
Winter 2009/2010
Nu
mb
er
of co
llap
ses
Collapses in Sweden during winter 2009/2010/2011
• Swedish government assigned Boverket (National Board of
Housing, Building and Planning) to investigate the reasons for
collapses
• Investigation was carried out by SP (Technical Research Institute of
Sweden)
• Parallel projects with common focus with other financers
– SLU (Swedish Agricultural University)
– Skanska Teknik
• The three projects were coordinated and resulted in a common
report, which was published in may 2011 (reported to the
government): Roof collapses winter 2009/2010 and 2010/2011 –
reasons and proposals for actions
Report: Roof collapses winter 2009/2010 and 2010/2011
– reasons and proposals for actions; Carl-Johan Johansson, Camilla Lidgren, Christer Nilsson, Roberto Crocetti
Contents
1. Introduction
2. Description of snow and weather conditions
3. Collapses in SP database (statistics, collapse reasons)
4. Experience from earlier snowy winters / other publications
5. Boverkets snowloads and form factors
6. Weaknesses and critical factors in different roof constructions (dependent on structural material)
7. Calculation errors and calculation programs
8. Building permit process
9. Construction and procurement
10. Special consideration of agricultural buildings
11. Interviews with suppliers
12. Conclusions and proposals for action
Collapses in Sweden
winter 2009/2010/2011
• About 3500 damages reported to insurance companies
• 180 collapses in SP database (167 + 13)
• 37 cases investigated thoroughly
Type of building and structural material
Structural material42 % steel
47 % timber
11 % glulam
Type of building number %
Sportinghalls, icerinks, eventhalls 14 8
Riding halls 6 4
Schools 2 1
Shops 5 3
Industrial buildings 4 2
Storage buildings 22 13
Agricultural buildings 65 38
Other 52 31
Sum 170 100
18%
Public buildings
SpanN
um
ber
of colla
pses
Span [m]
Roof inclination
arch
Num
ber
of colla
pses
Roof inclination [degrees]
Age of Structure (year of completion)
-1919 1930ies 1950ies 1970ies 1990ies 2010-
Num
ber
of colla
pses
1920ies 1940ies 1960ies 1980ies 2000-2009
Snowy winter 1976-1977
Observations regarding snow loads• Not more snow than in the code (1 exeption)
• No occasional thawing; wind from north/east during the wholesnowing period led to large snowdriftinghighly nonsymmetrical snowloads
• Nonsymmetrical snow loads even for roofs with low inclination(not at all in Swedish standard; non-symmetry larger than in Eurocode)
• Measured snow load on roof equals snow load on ground(in the standard, a form factor of 0.8 is used?!)
• Large differences in snow depth for large roofs
earlier
now
Reasons for collapse (37 cases)
Structural material Errors in
/ lack of
design
Errors in
material /
compo-
nent
Lack of
main-
tenance
Errors on
building
site
Other
(e.g.
snow
load)
Steel
(beam, frame, arch)
8 1 - 3 5
Glulam
(beam, frame)
3 2 - 4 3
Timber
(framework/lattice)
5 1 2 4 3
Sum 16 4 2 11 11
% 43 11 5 30 30
Nordic study (2007) % 53 11 * 27 9
No statistics for whole sample (170 cases) available
Reasons for failure in collapsed timber
and glulam structures
• Timber structures
– Missing stabilizing elements
– Rot (lack of maintenance)
– Purlin as gerber system – very sensitive to varying loading in different spans
• Glulam structures
– Risk for lateral buckling neglected
– Cracks in tension rod (steel quality)
– Missing anchor plate in tension rod connection
– Tension failure in tension rod
– Wrong detailing of tension rod connection
Critical aspects in glulam structures
Example 1: error on building site
Three-hinged frame, tension rod
Anchor plate dimensions
115x 55x 25 mm3
Missing anchor plate leading to
the nut being drawn through
the glulam beam
Collapse after 18 years
Critical aspects in glulam structures
Example 2: error of design
Eccentricity between tension rod
connection and steel column
high tension stresses
perpendicular to grain
High shear stresses
120 240 240
90
Dubbel dragstångAnkarbricka
Limträ balk
Upplagsplåt
(stålpelare)
15
6
Modelled by Henrik Danielsson,
Structural Mechanics, Lund University
Critical aspects in glulam structures (general)as presented in the report
GOOD / BETTER BAD / WORSE
Notched beams
Holes
Too short support length for
inclined beams
Luftspalt
(min 15mm)
GOOD / BETTER BAD / WORSE
Cut lamellae for tapered
beams
Tension perpendicular to
grain in special beams
Loose ridge
Screw
Reinforce-
ment
”HELA” LAMELLER SNEDSKURNA LAMELLERUrtag
Lös
nock
C
Critical aspects in glulam structures (general) as presented in the report
GOOD / BETTER BAD / WORSE
Design of joints
Primary / secondary
beam
Loading perpendicular to
the grain
Största delen av fästdon
ovanpå primärbalkens
neutrallager
Critical aspects in glulam structures (general) as presented in the report
Agricultural buildings
• Special rules for agricultural buildings
– No building permit required
– 15% higher capacity of nailed connections
• 63 collapsed agricultural buildings in SP database
• Building material
– 70% Timber framework
– 10% Timber traditional 2-storey building
– 5% Glulam
– 15% Steel
Agricultural buildings - Age (year of completion)
-19 30-39 50-59 70-79 90-99 10-
20-29 40-49 60-69 80-89 00-09
Num
ber
of colla
pses
Agricultural buildings – Design
• Difficult to say whether there was any design at all or who did the design
• ”in some cases the design was right which does not help much ifother parts are wrongly designed or are missing…”
• Timber framework: stabilizing elements are often missing (missingin design or error on building site)
• Purlins often designed as continuous beams, but built as singlespan beams – purlins have too low capacity and cannot reallystabilize the building against buckling and lateral torsional buckling
Agricultural buildings – loads
• Snowload often highly non-symmetric
• Non-symmetric snowload due to snow removal, leading to collapse
in one case
• Many buildings close to each other – snow from roofs with high
inclination slides down on roofs with lower inclination low
inclination roof should be designed to withstand 50% of the other
roofs snowload
Agricultural buildings – reasons for collapse (10 cases)
Structure
TF = timber
framework
T2 = timber
2-storey
Span
[m]
Inclination
[degr.]
Errors
in / lack
of
design
Errors in
material /
component
Lack of
main-
tenance
Errors
on
building
site
Snow
differently
distributed
on roof
compared
to code
Higher
snowload
on roof
compared
to code
when
completed
TF 34/2 10 X
TF 31/2 10 X X X
TF 20/2 14 X X
T2 14 45 X
TF 14 23 X
TF 32/2 15 X X X
Glulam 18 15 X X
TF 15 10 X
TF 16 16 X
Steel 14 14 X X
% 60 10 10 20 60 10
Errors in design / lack of design
Snow distribution on the roof
Danish experience of collapses of agricultural buildings 2010
• Ventilation hoods on the roof lead to snow accumulation on the leeward side
• Insurance company checked 60 buildings, only 9 were OK (freefrom mistakes)
• Typical errors
– Wrong bracing
– missing bracing (sometimes despite notation on the girder whereto place the bracing)
– bracing not tightened
– bracing cut off
– Wrong execution of nailed connections
Interviews with suppliers (steel, steel plates, glulam)
• What type is the collapsed structure – is that type still used or was the design changed?
• Control of design of collapsed structures with old and new codes –difference in some cases due to higher snow loads / non-symmetricsnow loads and use of Eurocode
• Typical errors according to suppliers
– removed tension rods
– corrosion due to lack of maintenance
– new building generating snow pockets
– Notches/holes in glulam beams made on building site (not in the design) information leaflet on holes and notches follows the delivery
– Collapse of steel sheathing above the primary beams due to highbending moment and high support reaction (now designed withlarger safety margin, instructions for snow removal on homepage)
Interviews with suppliers (steel, sheathing, glulam)
• Typical problems according to suppliers
– communication between the different designers (errors in design of stability and supports, information on snow pockets etc)
– Communication between designers and suppliers
– Lack of information from client to supplier difficult to make good design
• Sensitive structures/elements according to suppliers
– Arches
– Gerber systems
– Large deformations
– Fracture at support
Conclusions and proposals for action:
Collapses• Slender roof structures (steel, timber, glulam) have collapsed
• > 60% of collapsed buildings were built from 1980 and on
• Low inclination (in 50% of the cases < 15 degrees)
• Reasons for failure (from thorough study of 37 cases)
– No design /wrong design (including neglected snow pockets): 43%
– Errors on building site: 30%
– Material or component: 11%
– Lack of maintenance: 5%
– Other (including overload of snow): 30%
Conclusions and proposals for action:
Agricultural buildings
• Mostly timber roofs
• Reasons for collapse mostly carelessness and
ignorance
• Often built without competence (do it yourself)
• Often no design at all
• Proposals for action:
– Inform farmers about the responsibility to be commissioner of
a building project by broschures and seminars
– Request from insurance companies that they require control
and supervision
Conclusions and proposals for action:
Snow load and form factors• Value of snow load was increased for 2/3 of places in 2006
(decreased in only few cases)
• Snow load in current standard is plausible
• Form factors
– For roofs with low inclination (<15 degrees), the standard
prescribes symmetrical load, however, in reality the snowload
was highly nonsymmetrical introduction of Eurocode will
improve this, but is that enough?
– Snow load on flat roof = 80% of snow load on ground – WHY?
• Proposal for action: investigate form factors for snow load
Conclusions and proposals for action:
Weaknesses of different constructions
• Steel: Slender structures need to be properly stabilized (needs gooddesign and execution)
• Glulam: local stresses (notch, slotted-in plate)
• Nailplate timber roofs: lack of bracing of compressed elements
• Steel arch covered with textile: lack of bracing against lateral buckling
• Roof sheathing: gerbersystems sensitive to nonuniform loading; shouldbe designed in highest safety class (usually in medium); sheathing is often too thin proposal: inform on correct design of sheathing
• Risk for progressive collapse is often neglected
• Proposal for action: formulate a broschure on weaknesses of different roof types (primary/secondary elements, detailing, risk for progressive collapse)
Conclusions and proposals for action:
Design programs
• Many different programs
• Suppliers have own programs
• Programs are based on different models
• Many programs do not consider important load combinations
Conclusions and proposals for action:
How many contractors?
• No difference whether one or several contractors
• Lacks in design and execution
• lack of compentence for some contractors
• Who has overall responsibility when many
contractors?
Conclusions and proposals for action:
Building permit process
• Depending on when the building was erected, different meetings/control plans were needed
• Usually, the meetings were held, control plans were agreed upon – but not specified what is checked in the control plan, no documentation
• Need for a competent person linking all the different contractors, which only have responsibility for their part
• Different checks are missing, e.g. control of effect of snow pockets
• Conclusion: Collapses could not have prevented even if all rules had been followed
• Proposals for action
– Control plan should include more technical information
– One responsible designer / expert needed to put together all pieces
– Reconstruction/extension of buildings: design should include both old and new parts
– Different parts from different suppliers: make sure that the different parts interact correctly
Examples1 – Siemens Arena, Denmark
2 – Jyväskylä Exhibition Hall, Finland
3 – Buckling of trusses
Siemens Arena, Denmark
• Inaugurated February 2002
• Failed January 3, 2003
• 8000 seats
• Building costs: 6 millions Euros
• Calculated cost to rebuild structure:
25% of new price
Martin Hansson, 2004
Siemens Arena – the fish shape
72 m
(double: center to center 10 m)
5 m
about 6.5 m
No diagonals!
R=175 m
R=380 m
Failure
No load at failure
2 out of 12 trusses failed
Failure initiation
The failure joint
Slotted-in steel plates
Failure section
Reduced
section
- Tension failure
The failed cross section
glued-in spacer
block 45x160
160 160 160
533
430
The failed cross section
4 slotted-in 8 mm
steel plates in 10
mm wide slots
160 160 160
533
430
The failed cross section
Dowels 12 mm
160 160 160
533
430
Experts explanation
Early stage estimation not corrected during detailing!
• Area reduction not considered
- depth in bottom chord from 533 to 430 mm
- slots for steel plates
- holes for dowels
160 160 160
533
430
Experts explanation
Early stage estimation not corrected during detailing!
• Moment caused by very stiff connection –assumed as hinged
• Angle between stresses at surface and grain direction
• Used tensile strength about 50% higher than code value
Total effect:
The actual strength in joints was about 25% of the “designed strength”
The actual stresses were 40% higher than the characteristic 5% strength
All trusses will fail sooner or later…
Why those two? the trusses had large knots and low quality glueline glulam quality determined which of the trusses failed
Why just then? Duration of load
Experts explanation
Restauration- cables
Design related causes strength design
environmental actions
Construction related causes Poor principles during construction
Alterations on-site of intended design or products
Deficiency in design rules / codes prediction of capacity
Extreme loading
Causes related to wood material and wood products Inadequate quality of wood material
Poor manufacturing principles for wood products
Manufacturing errors in factory
Causes related to utilisation of the structureMisuse or lack of maintenance of the structure
Other causes
X
(X)
(X)
Jyväskylä Exhibition hall, Finland
• Glulam truss, about 55 meter span
• Inaugurated January 17, 2003
• Failed February 1, 2003 (the day after an
exhibition)
• Number of people in building: 10
• Nobody hurt
Martin Hansson, 2004
Structure
55 m
(center to center 9 m)
4.8 m
Double trusses
The failure
Failure load
• 52 kg/m2 snow load (25 % of design value)
• Failure load = 51% of expected
characteristic 5% capacity
Failure initiation
Failure investigation
Slotted-in steel plate
Dowels (hidden, no inspection!)
Extremely poor manufacturing
of dowel joints• steel plate was placed incorrectly
compared to center line of beams
• Positioning of dowels was poor:
Some not penetrating the steel plate
• Drilled holes varied in depth and
were oversized
• Partly too short embedding length
for dowels
Failure investigation
Slotted-in steel plate
dowel
In failure joint only
7 of 33 dowels
were found !
Inadequate formula in old draft
of Eurocode 5 for block shear
failure. Corrected years before
the incident.
Failure investigation
• Roof elements constructed as two-span, but support
reactions on trusses designed for single-span (+25%)
• Lateral stability of trusses not sufficient
progressive failure
Design related causes strength design
environmental actions
Construction related causes Poor principles during construction
Alterations on-site of intended design or products
Deficiency in design rules / codes prediction of capacity
Extreme loading
Causes related to wood material and wood products Inadequate quality of wood material
Poor manufacturing principles for wood products
Manufacturing errors in factory
Causes related to utilisation of the structureMisuse or lack of maintenance of the structure
Other causes
X
(X)
Buckling of trusses
Buckling of trusses
Design related causes strength design
environmental actions
Construction related causes Poor principles during construction
Alterations on-site of intended design or products
Deficiency in design rules / codes prediction of capacity
Extreme loading
Causes related to wood material and wood products Inadequate quality of wood material
Poor manufacturing principles for wood products
Manufacturing errors in factory
Causes related to utilisation of the structureMisuse or lack of maintenance of the structure
Other causes
X
What can we learn from failures?
• All materials are different: steel, concrete and
timber have common but also their special
problems and failures types
An engineer good at designing steel and / or
concrete structures is not automatically excellent
at designing timber structures
What can we learn from failures?
Extra education / training should be provided to introduce engineers to the special problems in timber engineering
Implementationdatabase / books on failure cases – learn from each
others mistakes
Handbook/ material for design of timber structures including good and bad solutions, focus on typical problems
Courses in design of timber structures
external control – internal control
Literature
• Kaminetzky: Design and Construction failures - lessons from forensicinvestigations, McGraw-Hill, 1991
• Martin Hansson: presentations on failures in timber structures, 2004
• Accident Investigation Board Finland http://www.onnettomuustutkinta.fi/2601.htm
• http://www.maintenanceresources.com/ReferenceLibrary/FailureAnalysis/FailureModes.htm
• Dröge, Dröge: Schäden an Holztragwerken, Schadenfreies Bauen, Band 28, Fraunhofer IRB Verlag, 2003
• Brand, Glatz: Schäden an Tragwerken aus Stahlbeton, SchadenfreiesBauen, Band 14, Fraunhofer IRB Verlag, 2005
• Oehme, Vogt: Schäden an Tragwerken aus Stahl, Schadenfreies Bauen, Band 30, Fraunhofer IRB Verlag, 2003
• Frühwald et al, 2007: Design of safe timber structures – how can welearn from structural failures in concrete, steel and timber? Division ofStructural Engineering, Lund University, Report TVBK-3053
• Report: Roof collapses winter 2009/2010 and 2010/2011 – reasons and proposals for actions; Carl-Johan Johansson, Camilla Lidgren, Christer Nilsson, Roberto Crocetti; Report 2011:32
• Boverket: Erfarenheter från takras i Sverige vintern 2009/2010. En delredovisning av Boverkets regeringsuppdrag M2010/2276/H
More literature…
• Dietsch, Wolfrum, Winter: Evaluation of wide-span timber structures – results and
recommendations, WCTE 2008
• Winter, Kreuzinger: The Bad Reichenhall ice-arena collapse and the necessary
consequences for wide span timber structures, WCTE 2008
• Dietsch, Merk, Mestek, Winter: Structural safety and rehabilitation of connections in
wide-span timber structures – two exemplary truss systems, WCTE 2008
• Dietsch, Winter: Typische Tragwerksmängel im Ingenieurholzbau und Empfehlungen
für Planung, Ausführung und Instandhaltung, 8. Grazer Holzbau-Fachtagung, 2009
• Blass, Frese: Schadensanalyse von Hallentragwerken aus Holz, Karlsruher Berichte
zum Ingenieurholzbau 16
• Frühwald, Thelandersson, Fülöp, Toratti: Robustness Evaluation of Failed Timber
Structures, COST Action TU0601, Robustness of Structures, 1st Workshop, February
4-5, 2008, ETH Zurich, Zurich, Switzerland
• Frühwald Hansson: Analysis of structural failures in timber structures: Typical causes
for failure and failure modes, Engineering Structures 33 (2011) 2978–2982
• Studiengemeinschaft Holzleimbau e.V.: GUIDELINE FOR A FIRST EVALUATION OF
LARGE-SPAN TIMBER ROOF STRUCTURES