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BEIN

Calculation of multiple supports according to AD S3/0, section 4.4

Container on supports

Bein

Fig.1 Container on supports       

S33                       Fig. 2: Special caseF=0, eG=0

 

The load on the supports of a container is calculated according to AD-S3/0 and evaluated for standard profiles according to DIN 1024 ... 1029 are evaluated. Weight forces G and shear forces Q can be specified. If the maximum normal force according to AD-S3/3 is exceeded, a stability verification according to DIN 18800 part 2 is performed.

Notes

·         With uniform support on n feet or claws, the maximum compressive force NFd on a single element can be calculated according to AD-S30 Section 4.4.

·         Anchoring is necessary if 4M/dF > 0.7 Gz Eq. (5) 

·         The maximum tractive force is NFz 

·         If no uniform load distribution can be ensured by the support, n=3 at the most must be calculated!

·         The Euler buckling force Fk is calculated according to Dubbel paperback Maschinenbau, Springer 1997, Chapter C Strength of Materials, p.42.

·         The equations for the profile stresses s D, tD compressive and s Z, tZ tensile result from the static equilibrium conditions.  

·         For the case j=0 and eG=0, the bending stress corresponds to Code of Practice AD S3/3, equation (7a).  

·         According to AD-S3/3, the stability verification according to DIN 18800/2 can be omitted for NFd<0.22*EF*IF/hF^2

·         The load on the base plate can be calculated according to AD-S3/3 with module S33.


Basic equations


Stability verification according to DIN 18800 Part 2 (without shear force)


Kink line

a

b

c

d

a

0.21

0.34

0.49

0.76

betaKnicklinie

Eulerian load cases

Euler

Fig.: Eulerian load cases

Permissible calculation voltage according to AD-S3/0

4.2 Load case

BF1

BF2

PF1

PF2

MF1

MF2

SF1

SF2

...

Sect.

Dead load

x

x

x

x

x

x

x

x

4.1.4.1

Internal pressure

x

x

x

4.1.4.2

Negative pressure

x

x

x

x

Local pressure

x

Temperature

x

x

4.1.4.3

External load

x

x

x

x

x

x

4.1.4.4

Live load

x

x

4.1.4.5

Wind load

x

x

x

x

x

x

4.1.4.6

Snow load

x

x

4.1.4.8

Earthquake

x

x

4.1.4.9

Perm. voltage pressure vessel

f

fP

fM

fS

4.3

Permissible voltage Support elements

f

1.1 f

1.1 f

1.5 f

AD-S3/0 section 4.3.4, allowable calculation stress for pressure vessels; load case:

1.   Operation: Permissible calculation voltage szul = f = K/S, K = characteristic value, S = safety factor according to AD-B0 during operation

2.   Test case fP = K/S', S' = Safety factor Test case according to AD-B0

3.   Assembly fM = K/SM, SM = S -a (S- S'); a = 1 for short-term load; a = 0.5 for longer load

4.   Special case fS = K/SS, SS as for assembly with a = 1.25, but SS > 1.


Profiles

profileprofile-1

profile-2profile-3

Plastic resistance module Zx, Zy