Stiffness coefficients

The stiffness coefficients for basic joint components are defined by the EN 1993-1-8 Article 6.3.2 Table 6.11.

The usage of stiffness coefficients for basic joint components in the steel connections is defined by the EN 1993-1-8 Article 6.3.1 Table 6.9 and 6.10. In SCIA Engineer these stiffness coefficients are used:

For a bolted beam-to-column connection, the following coefficients are used :

Coefficient

Present

keq

k1

x

 

k2

x

 

k3

x

x

k4

x

x

k5

x

x

K10

x

x

For a bolted splice connection, the following coefficients are used :

Coefficient

Present

keq

k5 - Left side

x

x

k5 - Right side

x

x

K10

x

x

For a bolted column base connection, the following coefficients are used :

Coefficient

Present

kC kT

k13

x

x

 

k15

x

 

x

k16

x

 

x

The stiffness coefficient for concrete in compression component k13 is calculated as:

with:

beff

the bearing width of the compression flange

leff the bearing length of the compression flange

Ec

the elastic modulus of concrete calculated as:

(Ec in Gpa, fcm in Mpa)

E

the elastic modulus of base plate

The elastic modulus of concrete Ec and also fcm is calculated EN 1992-1-1 Article 3.1.3, Table 3.1 as:

The effective bearing width and length of the compression flange are calculated according to EN 1993-1-8 Article 6.3.2, Table 6.11, Note 1.

with:

tf

thickness of the flange in compression

bc width of the flange in compression

tbp

thickness of the base plate

Since the Lb* formula for detection of prying forces is valid only for 2 bolts per row, the case identification for calculation of stiffness coefficients k15 and k16 is not possible. From this reason, in case 4 bolt in a row, the formula giving smaller stiffness coefficient value is used for stiffness coefficients k15 and k16 separately.

For a welded beam-to-column connection, the following coefficients are used :

Coefficient

Present

keq

k1

x

 

k2

x

 

k4

x

 

When a column minor axis configuration is used, the values for k1 and k2 are replaced by ki, the stiffness coefficient in the tension or the compression zone of the column web in bending and punching. The value for ki is given by (see Ref.[21]) :

with:

c1

1.50

c2

1.63

10≤u≤50

0.08≤β≤0.75

0.05≤α≤0.2

 

The factor krot is equal to 1 if the rotation of the column flanges restrained

 

A welded splice connection is considered as rigid.

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