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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
1 Action on bridges
Content:
1 permanent actions 2 traffic loads 3 temperature actions
variable actions 4 wind actions
Standard basis:
- Eurocode: BS EN 1990: Basis of structural design (EC 0)
BS EN 1991-1: Actions on structures (EC 1, part 1)
BS EN 1991-1-4: Wind actions
BS EN 1991-1-5: Thermal actions
BS EN 1991-1-7: Accidental actions
BS EN 1991-2: Traffic loads on bridges (EC 1, part 2)
BS EN 1992-1: Actions on structures (EC 2)
+ BS EN 199x/NA National Annexes
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
2 Action on bridges
- BS EN 1990, Annex A2, Table A2.1: y -factors for road
bridges
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
3 Action on bridges
- BS EN 1990, Table A2.4(A): partial factors (EQU)
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
4 Action on bridges
- BS EN 1990, Table A2.4(B): partial factors (STR/GEO)
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
5 Types of actions (EN 1990:2002, 4.1.1)
- permanent actions (G): self-weight of structures (g)
fixed equipment and road surfacing (Dg)
settlement (Ds)
- variable actions (Q): imposed loads (q)
temperature (DT)
wind loads
- post tensioning: with and without bond
- accidental actions (A): impact from vehicles on bridge
superstructure or piers
heavy wheel loads on pavements
impact on caps and safety barriers
- seismic actions
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
6 1 permanent actions (G)
- permanent loads from self weight of the components and
building materials are to be taken
from EN 1991-1
settlement (Ds)
- they basically belong to the permanent actions, but must be
arranged unfavourably
as variable action
- probably settlement: Dsm = 1 cm (SLS)
- possible settlement: Dsk = 1 cm (ULS)
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
7 2 Traffic Loads on bridges (EN 1991-2)
General
- Field of application: loaded lengths less than 200 m (For very
long loaded lengths, see
National Annex)
- 3 steps of load assumptions:
I Traffic load models
Vertical forces: LM1, LM2, LM3, LM4
Horizontal forces: braking and acceleration, centrifugal,
transverse
II Groups of loads
gr1a, gr1b, gr2, gr3, gr4, gr5
characteristic, frequent and quasi-permanent values
III Combination with actions other than traffic actions
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
8 Divisions of the carriageway into notional lanes
- Carriageway width w
width measured between kerbs (height more than 100 mm
recommended value)
or between the inner limits of vehicle restraint systems
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
9 Divisions of the carriageway into notional lanes
- Number and width of notional lanes (Tab. 4.1)
example: w = 11 m
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
10 Load models (vertical loads)
The specified load models do not describe actual loads.
The recommended values of the load models in EN 1991-2 are
chosen and adapted to
correspond with the actions of traffic in the year 2000.
- Load model 1
Concentrated and distributed loads (main model general and local
verifications)
- Load model 2
single axle load (semi-local and local verifications)
- Load model 3
Set of special vehicles (general and local verifications)
- Load model 4
Crowd loading (general verifications)
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
11 Load model 1 (EN 1991-2, 4.3.2)
- For the determination of general effects, the tandems travel
centrally along the axes of
notional lanes
- For local verifications, a tandem system should be applied at
the most unfavourable location
DIN EN 1991-2
/NA
Qik [kN]
qik [kN/m]
Qi Qik [kN]
qi qik [kN/m]
Lane 1 300 9,0 300 12,0
Lane 2 200 2,5 200 6,0
Lane 3 100 2,5 100 3,0
More Lanes 0 2,5 - 3,0
remaining
area
0 2,5 - 3,0
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
12 Load model 1 (EN 1991-2, 4.3.2)
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Chair of Modelling and Simulation of Structures Actions on
bridges
13 Load model 2
- single axle load Qak with Qak equal to 400 kN
Recommended value: Q = Q1
(see National Annex)
Load model 3
- Where relevant, models of special vehicles should be
defined
Load model 4
- Crowd loading, if relevant, uniformly distributed load (which
includes dynamic amplification)
equal to 5 kN/m
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
14 Dispersal of concentrated loads (EN 1991-2, 4.3.6)
a) Pavement and concrete slab
1 Wheel contact pressure
2 Pavement
3 Concrete slab
4 Middle surface of concrete slab
b) Pavement and orthotropic deck
1 Wheel contact pressure
2 Pavement
3 Bridge floor
4 Middle surface of the bridge floor
5 Transverse member
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
15 HORIZONTAL FORCES : Braking and acceleration (EN 1991-2,
4.4.1)
- should be calculated as a fraction of the total maximum
vertical loads
corresponding to the Load Model 1 likely to be applied on Lane
Number 1
- For Lane 1: Qlk= 360 + 2.7 L L length of the deck
Centrifugal forces (4.4.2)
- r horizontal radius of curvature of the carriageway centreline
[m]
- Qv total maximum weight of vertical concentrated loads of the
tandem systems of LM1
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
16 Groups of traffic loads
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
17 Fatigue load models (EN 1991-2, 4.6)
- Fatigue Load Model 3 (single vehicle model)
- Highway bridge with two lanes in each direction and a high
proportion of truck
- model consists of four axles
- weight of each axle is equal to 120 kN
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
18 Collision forces on piers / supporting members (EN 1991-2,
4.7.2)
- Forces due to the collision of abnormal height or aberrant
road vehicles with piers or
with the supporting members of a bridge should be taken into
account.
- The regulations of EN 1991-1-7
Collision forces on decks
- Impact loads from road under bridges according to DIN EN
1991-1-7:2010-12, 4.3.2 are to
consider only the check of position stability of the
superstructure
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
19 Actions from vehicles on the bridge (EN 1991-2, 4.7.3)
- Vehicle on footways and cycle tracks
- Impact forces on kerbs
- Impact forces on safety barriers
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
20 Thermal actions (EN 1991-1-5)
- Daily and seasonal changes will result in variations of the
temperature distribution within
individual elements of a structure
- The temperature distribution may be split into the following
four essential constituent
components:
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
21 Thermal actions
- For bridges, constant and linear temperature component is to
consider only
- Outside air temperature between Tmax = +37C and Tmin =
-24C
- Setup temperature T0 usually average value with T0 = +10C
- max. Variations in the pos. / neg. temperature component
DTN,pos = Te,max T0 DTN,neg = T0 Te,min
- Total variation in the temperature constant proportion
DTN = Te,max Te,min = DTN,pos DTN,neg
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
22 Thermal actions
- bridge decks are grouped in 3 types
- For bridge generally: the constant and linear temperature
components is considered only
- Table 6.1: Recommended values of linear temperature difference
component
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
23 Thermal actions
- Example: Top warmer: 8 cm pavement ksur = 0,82 DTM,heat = 15 C
0,82 = 12,3 C
Bottom warmer: independent of pavement ksur = 1,0 DTM,cool = -8
C 1,0 = -8 C
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B a u h a u s - U n i v e r s i t t W e i m a r
Chair of Modelling and Simulation of Structures Actions on
bridges
24 Wind actions (EN 1991-1-4, section 8)
- the wind distribution depends on the height of bridge and
height over ground