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Comparison of calculation Beta factor

Internal column

b= 300 mm; h = 450 mm; d = 160 mm, VEd(REd) = 100kN

MEd,x [kNm/m]

0

30

-30

0

0

30

30

-30

-30

MEd,y [kNm/m]

0

0

0

30

-30

30

-30

30

-30

Method

β factor

Simplified EN 1992-1-1

1.15

General EN 1992-1-1

1.0

1.45

1.45

1.53

1.53

1.71

1.71

1.71

1.71

General (general formula)

1.0

1.45

1.45

1.53

1.53

1.98

1.98

1.98

1.98

EN 1992-1-1, equation  6.43

     

-

-

-

-

1.76

1.76

1.76

1.76

General EN 1992-1-1

General (general formula)

Edge column (parallel x)

b= 300 mm; h = 450 mm; d = 160 mm; ay=300mm; VEd(REd) = 100kN

MEd,x [kNm/m]

0

30

-30

0

0

30

30

-30

-30

MEd,y [kNm/m]

0

0

0

30

-30

30

-30

30

-30

Method

β factor

Simplified EN 1992-1-1

1.4

General EN 1992-1-1

1.0

1.39

1.39

1.60

1.59

1.99

1.72

1.99

1.72

General (general formula)

1.28

1.67

1.67

1.91

1.36

2.30

1.74

2.30

1.74

General EN 1992-1-1

General (general formula)

* The factor β for method =General(general formula) is calculated for biggest value of shear stress along the control perimeter, therefore in some cases (the eccentricity perpendicular to the slab edge is toward the interior of the slab) there is quite big difference of results in comparison with method = General EN 1992-1-1..

Corner column

b= 300 mm; h = 450 mm; d = 160 mm; ax=300mm;  ay=300mm;  VEd(REd) = 100kN

MEd,x [kNm/m]

0

30

-30

0

0

30

30

-30

-30

MEd,y [kNm/m]

0

0

0

30

-30

30

-30

30

-30

Method

β factor

Simplified EN 1992-1-1

1.5

General EN 1992-1-1

1.0

1.39

1.39

1.56

1.56

2.11

1.66

1.66

1.73

General (general formula)

1.9595

2.54

1.61

2.58

1.61

3.17

2.20

2.24

1.26

General EN 1992-1-1

General (general formula)

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