Calculation of slenderness

The slenderness ratio is calculated according to clause 10.11.5 in ACI 318-05, see formula below


where

luy(z)

system length (unsupported length) of member about y(z) axis of LCS

ky(z)

effective length factor about y(z) axis of LCS of compression member

ry(z)

radius of gyration of cross section about y(z) axis of LCS of compression member,

The value ky(z) can be calculated according to clause R10.12.1 in ACI 318-05 , if type of calculation is Code dependent, see chapter "5.4 Member buckling data". The following formulas are then used for calculation effective length factor

 

Non-sway member

Sway member restrained in both ends

    if 

             if 

Sway member restrained in one end

For non-sway member restrained in one end, only value  ψ in the end of member which is fixed is taken into account

If the member will be sway or non-sway can be set in dialog Buckling and relative lengths > Buckling data or in dialog Buckling coefficients (member buckling data is defined, user input is selected  and kyy(zz) = Code dependent  ) via property Swaz zz or Sway zz

If the member will be restrained in both ends or only in one end can be set in dialog Buckling and relative lengths > Buckling data via propertie yy or  zz

In the table below are calculated slenderness ratio for sway and non-sway member with restrains in both ends and one end too (member B1 – non-sway column restrained in both ends, B2- non-sway column restrained at foot of the column, member B3 –way column restrained in both ends, B4- sway column restrained at foot of the column ).

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