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1. A summary of essential differences between EC2 and BS8110 Prof Tan Kang Hai Email: [email protected] Director of Protective Technology Research Centre (PTRC) School of Civil & Environmental Engineering All the rights of 11 lecture materials belong to Tan Kang Hai 1
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Page 1: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

1. A summary of essential

differences between EC2 and

BS8110

Prof Tan Kang Hai

Email: [email protected]

Director of Protective Technology Research Centre (PTRC)

School of Civil & Environmental Engineering All the rights of 11 lecture materials belong to Tan Kang Hai

1

Page 2: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

Outline

Similarities and differences of BS8110 and EC2

Influence of material behaviour

Basis of design and load combination

Global geometric imperfections

Nonlinear versus linear elastic analysis

Shear design of beams and slabs

Design of columns

Detailing of members

2

Page 3: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

Outline

Similarities and differences of BS8110 and EC2

Influence of material behaviour

Basis of design and load combination

Global geometric imperfections

Nonlinear versus linear elastic analysis

Shear design of beams and slabs

Design of columns

Detailing of members

3

Page 4: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

- Ultimate limit state and serviceability limit state

- Permanent actions, imposed loads and wind loads

- Plane strain assumption for design of beams,

slabs, columns, and walls

- Linear elastic analysis

- Linear elastic analysis with limited distribution

- Plastic analysis

Similarities

of BS8110 and EC2

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

4

Page 5: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

• EC2 is phenomenon-based code unlike the BS8110

• Entire code is based on reliability index

• Based on Model Concrete Code 1978 and 1990

1. Influence of material behaviour

2. Basis of design and load combination

3. Global geometric imperfections

4. Nonlinear versus linear elastic analysis

5. Shear design of beams and slabs

6. Design of columns

7. Detailing of members

Differences

between BS8110 and EC2 Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

5

Page 6: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

Outline

Similarities and differences of BS8110 and EC2

Influence of material behaviour

Basis of design and load combination

Global geometric imperfections

Nonlinear versus linear elastic analysis

Shear design of beams and slabs

Design of columns

Detailing of members

6

Page 7: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

max stress level for idealized curve must be below the max stress

of the schematic diagram for the same area under the curve

(3.15)

The design value of concrete compressive strength fcd is given by:

Where the factor allows for the difference between the

bending strength and the cylinder crushing strength of concrete,

and is the concrete material partial safety factor.

EC2 stress-strain relationships of

concrete under compression

7

ckck

c

ckcccd f

fff 567.0

5.1

85.0

5.1c

Page 8: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

Class 1 Class 2 Class 3

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Table 3.1 Strength and deformation

characteristics for concrete

8

Page 9: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

EC2 stress-strain relationships of

reinforcing steel

k=ft/fy indicates ductility; the greater the k value, the longer is the

plateau or the plastic zone uk.

The design value of the modulus of elastic Es is 200 GPa. In

the ultimate limit state calculation, by taking a partial safety

factor of , design values of yield strength fyd and

yield strain of reinforcing steel are respectively computed as:

9

15.1s

y

yk

yk

yd ff

f 87.015.1

00217.0

1020015.1

105006

3

ss

yk

yE

f

Page 10: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

10

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Table C.1: Properties of reinforcement

Product form Bars and de-coiled

rods

Wire Fabrics Requirement or

quantile value (%)

Class A B C A B C -

Characteristic yield

strength fyk or f0.2k (MPa)

400 to 600

5.0

Minimum value of

k = (ft/fy)k

≥1.05

≥1.08

≥1.15

<1.35

≥1.05

≥1.08

≥1.15

<1.35

10.0

Characteristic strain at

maximum force, (%)

≥2.5

≥5.0

≥7.5

≥2.5

≥5.0

≥7.5

10.0

Bendability Bend/Rebend test -

Shear strength - 0.3 A fyk (A is area of wire) Minimum

Maximum

deviation

from nominal

mass

(individual

bar of wire)

(%)

Nominal

bar size

(mm)

≤8

>8

± 6.0

± 4.5

5.0

Page 11: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

11

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

7.2.3 Tensile properties

The specified values for the tensile properties

are given in Table 4.

Table 4 – Characteristic tensile properties

Yield strength,

Re

MPa

Tensile/yield strength ratio,

Rm/Re

Total elongation at

maximum force, Agt

%

B500A 500 1.05a 2.5b

B500B 500 1.08 5.0

B500C 500 ≥1.15,<1.35 7.5

a Rm/Re characteristics is 1.02 for sizes below 8mm. b Agt characteristics is 1.0% for sizes below 8mm.

Values of Re specified are characteristic with p = 0.95.

Values of Rm/Re and Agt specified are characteristic with p = 0.90.

Calculate the values of Rm and Re using the nominal cross sectional area.

The absolute maximum permissible value of yield strength is 650 MPa.

BS 4449:2005

+A2:2009

Page 12: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

12

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

7.2.3 Tensile properties

BS 8666:2005 - Scheduling, dimensioning, bending and cutting of steel

reinforcement for concrete — Specification has been revised to incorporate:

(i) Shape codes available under BS EN ISO 3766:2003; (ii) Revised

notation in accordance with BS 4449:2005 and BS EN 10080:2005; (iii)

Revisions to BS 4449:2005 (including the omission of grade 250 and grade

460 reinforcement)

.

Page 13: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

13

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

BS system:

notation is T

Similar to BS specification

Page 14: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

Outline

Similarities and differences of BS8110 and EC2

Influence of material behaviour

Basis of design and load combination

Global geometric imperfections

Nonlinear versus linear elastic analysis

Shear design of beams and slabs

Design of columns

Detailing of members

14

Page 15: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

15

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Leading variable action and accompanying variable action:

Comparison of partial factors for loading

Design situations BS 8110 EC2

With one variable action

(Live load) 1.4DL + 1.6LL 1.35Gk + 1.5Qk

With one variable action

(Wind load) 1.4DL + 1.6W 1.35Gk + 1.5Wk

With two variable

actions

(leading and

accompanying)

(Wind & live loads)

1.2DL + 1.2LL +

1.2W

1.35 Gk + 1.5 Qk + 0.75Wk

Or 1.35 Gk + 1.05 Qk + 1.5Wk

0.7x1.5Qk for office or

residential buildings

0.5x1.5Wk

(6.10)

Load combinations

according to EC0

Page 16: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

16

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Ultimate states Combinations of actions

Eq. (6.10)

For EQU, STR,

GEO

1.35 Gk + 1.5 Qk + 1.5*0.5Wk

Or 1.35 Gk + 1.05 Qk + 1.5Wk

Eq. (6.10a)

For STR, GEO

1.35 Gk + 1.5*0.5Wk +1.5*0.7 Qk

1.35 Gk + 1.5*0.5Wk

Eq. (6.10b)

For STR, GEO

0.925*1.35Gk + 1.5Wk +1.5*0.7 Qk

Or 0.925*1.35 Gk + 1.5Wk

To be applied together

(6.10a)

(6.10b)

For unfavourable

permanent

actions – single

source principle

in EC0 - Table

A1.2 (B) Set B

Load combinations

according to EC0

Page 17: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

17

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Instantaneous value of Q

t2 t3

Combination value 0Qk

Characteristic value Qk

Frequent value 1Qk

Time

Quasi-permanent value 2Qk

t1

Fig. Representative values of variable actions

Load combinations

according to EC0

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18

Combination Value 0Qk

Frequent Value 1Qk

Quasi-permanent Value 2Qk

OTHER REPRESENTATIVE VALUES OF VARIABLE ACTIONS:

For:

1) ULS and

2) Irreversible SLS

3) Apply to non-leading variable

actions

(consider the reduced probability of

simultaneous occurrences of two or

more independent variable actions.)

For:

1) ULS involving accidental actions,

and

2) Reversible SLS

3) Apply to leading variable actions

(e.g. for buildings, the frequent value is

chosen so that the time it is exceeded is

0.01 of the reference period of 50

years)

For:

1) ULS involving accidental

actions, and

2) Reversible SLS

3) Used for calculation of long-

term effects.

(e.g. for loads on building floors, the

quasi-permanent value is chosen

so that the proportion of the time it

is exceeded is 0.50 of the reference

period.)

1. BS EN 1990:2002 (EC0)

Page 19: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

19

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Combinations of actions for the Serviceability Limit State

Combination Permanent action

Gd

Variable action Qd

Leading Others

Characteristic Gk,j Qk,1 0,iQk,i

Frequent Gk,j 1,1Qk,1 2,iQk,i

Quasi-

permanent Gk,j 2,1Qk,1 2,iQk,i

Load combinations

according to EC0

Page 20: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

20

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Load combinations

according to EC0

Exposure Reinforced members and

prestressed members

without bonded tendons

(quasi-permanent load

combination)

Prestressed

members with

bonded tendons

(frequent load

combination)

X0, XC1 0.3a 0.2

XC2, XC3, XC4 0.3 0.2b

XD1, XD2, XD3, XS1, XS2,

XS3

0.2 and decompressionc

a For X0, XC1 exposure classes, crack width has no influence on durability and this limit is set to produce

acceptable appearance. In the absence of specific requirements for appearance this limit may be relaxed.

b For these exposure classes, in addition, decompression should be checked under the quasi-permanent

combination of loads.

c wmax = 0.2 mm applies to parts of the member that do not have to be checked for decompression.

Crack width limit

UK Annex Table NA.4 Recommended values of wmax (mm)

maxw w

Page 21: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

21

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Failure conditions under ULS

according to EC0

Page 22: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

1.35Gk

1.35Gk + 1.5Qk

1.35Gk + 1.5Qk

1.0Gk

1.35Gk 1.35Gk

1.35Gk + 1.5Qk

Single source for Gk

1.4Gk + 1.6Qk

1.4Gk + 1.6Qk

1.4Gk + 1.6Qk

22

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Load combinations

according to EC2 Cl 5.1.3

1.35Gk + 1.5Qk

1.0Gk 1.0Gk

Page 23: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

Outline

Similarities and differences of BS8110 and EC2

Influence of material behaviour

Basis of design and load combination

Global geometric imperfections

Nonlinear versus linear elastic analysis

Shear design of beams and slabs

Design of columns

Detailing of members

23

Page 24: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

24

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

• In EC2, there is no notional

horizontal load.

• Global geometric imperfections due

to out-of-plumbness of vertical

elements must be modelled by

equivalent loads in two design

situations:

Persistent design situations:

Possible extreme loading condition

of wind, imposed loads.

Accidental design situations: fire,

impact.

When to consider

geometric imperfections?

Page 25: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

25

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

• Imperfection loads are quantified by three considerations:

Global analysis of building structures.

Analysis of isolated vertical members.

Analysis of floor diaphragms as horizontal elements

transferring forces to bracing members.

Only imperfection loads in global analysis are similar to

notional horizontal loads, although they are very different in

the way to be considered.

• Imperfections need not be considered for serviceability limit

states.

When to consider

geometric imperfections?

Page 26: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

26

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

• The structure is assumed with inclination θl, given by:

where: θ0 is the basic value (θ0 = 1/200)

• αh is the reduction factor for height

• αm is the reduction factor for number of members:

where m is the number of vertically continuous members

in the storey contributing to total horizontal forces on the

floor.

How to consider

geometric imperfections?

Page 27: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

27

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members • The imperfection on each floor may be represented by a

force acting on the floor where Na and Nb are the factored

axial forces above and below the floor considered. (see

EC3 Figure 5.3)

To design for slab

(member transferring

forces to bracing

elements)

How to consider

geometric imperfections?

Page 28: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

28

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Lateral load case: in BS 8110: Hdesign = Max(HN, 1.2Wk)

However, in EC 2: Hdesign = 1.0 Hi + FWk

where Hi is horizontal loads for geometric imperfection

How to consider

geometric imperfections?

Page 29: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

Outline

Similarities and differences of BS8110 and EC2

Influence of material behaviour

Basis of design and load combination

Global geometric imperfections

Nonlinear versus linear elastic analysis

Shear design of beams and slabs

Design of columns

Detailing of members

29

Page 30: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

30

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

First order elastic analysis: represents conditions at

normal service loads very well (Section 5.4)

First order elastic analysis with limited redistribution:

excluded nonlinearity, represents conditions at normal

service loads very well (Section 5.5)

First order inelastic analysis: Plastic analysis with no

geometrical nonlinearity (Section 5.6)

Second order elastic analysis: Effects of finite

deformation considered. Good representation of P- effect

(Section 5.7)

Second order inelastic analysis: Both geometrical and

material nonlinearities are considered. Model can faithfully

reflect the behavior of structures up to ultimate limit state

Different types of analysis

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31

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Source: Fig. 8.1 of Matrix Structural Analysis, Second Edition, William

McGuire, Richard H. Gallagher and Ronald D. Ziemian, John Wiley & Sons, Inc,

2000, ISBN 0-471-12918-6

e

Different types of analysis

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32

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Taken from EC2

Local second order effects

Cl 5.8.7 or Cl 5.8.8

Page 33: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

33

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

States that if there are additional action effects caused by

structural deformations under the influence of significant axial

load, second order effects should be considered.

Local second order effect

on isolated members (P-)

Global second order effect

on whole structure (P-)

Local second order effects

Cl 5.8.7 or Cl 5.8.8

Page 34: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

How to account for second order effects?

Local second order effects

- Method based on nominal stiffness (EC2 Clause 5.8.7)

- Method based on nominal curvature (EC2 Clause 5.8.8)

Local second order effects

Cl 5.8.7 or Cl 5.8.8 Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Page 35: 1. A summary of essential differences between EC2 and · PDF fileA summary of essential differences between EC2 and BS8110 ... Shear design of beams and slabs ... • EC2 is phenomenon-based

Outline

Similarities and differences of BS8110 and EC2

Influence of material behaviour

Basis of design and load combination

Global geometric imperfections

Nonlinear versus linear elastic analysis

Shear design of beams and slabs

Design of columns

Detailing of members

35

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36

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Methodology

DC : the concrete acts as the

diagonal struts;

VT: the stirrups act as the

vertical ties;

BT: the tension reinforcement

forms the bottom chord;

TC: the compression

steel/concrete forms the top

chord.

= 21.80 ÷ 450 (strut angle)

(EC2 6.2.3(2))

(a) Beam and reinforcement

(b) Analogous truss

• EC2 uses The Variable Strut Inclination Method for shear

design.

• BS 8110 uses Truss Analogy with truss angle = 450

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37

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Comparison of shear design

• BS 8110

1. = 45o

2. BS 8110 compares shear

stresses.

3. The maximum shear

stress is limited to 5

N/mm2 or 0.8fcu,

whichever is the lesser.

4. The design shear force

must be less than the

sum of the shear

resistance of concrete

plus shear links.

• EC2

1. = 21.8o ÷ 45o

2. EC 2 compares shear forces.

3. The maximum shear capacity

of concrete VRd,max cannot be

exceeded.

4. Where the applied shear

exceeds the min shear

resistance of concrete VRd,c,

the shear reinforcement

should be capable of resisting

all the shear forces.

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38

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Punching shear design of slabs

Control perimeters

Basic control perimeter u1:

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Control perimeters

39

For slabs with a rectangular column with a rectangular head

with lH < 2hH, the value rcont may be taken as the lesser of:

1 2 12 0.56 and 2 0.69 cont cont

r d l l r d l

1 1 1 2 2 2 1 22 ; 2 ;

H Hl c l l c l l l

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

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Control perimeters

40

For slabs with enlarged column heads where lH > 2hH, the

control sections both within the head and in the slab should

be checked. For circular columns:

cont,ext

cont,int

2 0.5

2 0.5

H

H

r l d c

r d h c

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

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Punching shear stress VEd

41

(EC2 6.4.3 (3))

How to calculate b?

For rectangular columns:

221

1 1 2 2 14 16 2

2

cW c c c d d dc

1

1

1 Ed

Ed

M uk

V Wb

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

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Outline

Similarities and differences of BS8110 and EC2

Influence of material behaviour

Basis of design and load combination

Global geometric imperfections

Nonlinear versus linear elastic analysis

Shear design of beams and slabs

Design of columns

Detailing of members

42

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43

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Differences in symbols

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44

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Differences in symbols

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45

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Differences in design

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46

Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

Differences in design

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Outline

Similarities and differences of BS8110 and EC2

Influence of material behaviour

Basis of design and load combination

Global geometric imperfections

Nonlinear versus linear elastic analysis

Shear design of beams and slabs

Design of columns

Detailing of members

47

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48

Minimum cover due to

environmental conditions cmin,dur Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

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49

Minimum cover due to

environmental conditions cmin,dur Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

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50

Minimum cover due to

environmental conditions cmin,dur Similarities and

differences of

BS8110 and EC2

Influence of

material behaviour

Basis of design

and load

combination

Global geometric

imperfections

Nonlinear versus

linear elastic

analysis

Shear design of

beams and slabs

Design of columns

Detailing of

members

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DESIGN ANCHORAGE LENGTH

For the effect of the form of the

bars assuming adequate cover

1=0.7~1.0 (in comp. is 1.0)

For the effect of concrete minimum

cover 2=0.7~1.0 (in comp. is 1.0)

For the effect of confinement by tied

transverse bars along the design anc.

length 3=0.7~1.0 (in comp. is 1.0)

For the effect of confinement by welded

transverse bars along the design anc. length

4=0.7

For the effect of confinement by transverse

pressure along the design anc. length 5=0.7

Basic anchorage length

Design stress of the bar:

Design ultimate stress:

For the quality of bond condition 1=0.7

(poor) - 1=1.0 (good)

For the bar diameter 2=1.0 for ≤32mm

2=(132-)/100 for >32mm

The design concrete tensile strength (<C60/75)

fctd=fctk,0.05/c

Detailing of members

51

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DESIGN ANCHORAGE LENGTH lbd

Detailing of members

52

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• Complex load combinations due to leading and accompanying

variable load cases;

• In EC0 - Eq 6.10 compared with Eq 6.10(a) and Eq 6.10(b).

• Definition of member types and the choice of suitable elements;

• Represent global geometrical imperfection load by horizontal

loads and consider in all ULS;

• Need to consider global second order effect unless structure

satisfies Clause 5.8.3.3;

• Calculation model should reflect realistic global and local

behaviour of the designed RC structure

• High strength concrete is permitted (above 50 MPa till 90 MPa);

SUMMARY on Differences between BS and EC

53

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Thank You!

54


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