Adaptation of torsional constant 

See Ref.[1], Chapter 10.1.5.,  Ref.[2],3.5 and Ref.[3],3.3.4..

When diaphragms (steel sheeting) are used, the torsional constant It is adapted for symmetric/asymmetric I sections, channel sections, Z sections, cold formed U, C , Z sections.

The torsional constant It is adapted with the stiffness of the diaphragms:

with

l

the LTB length

G

the shear modulus

vorhCq

the actual rotational stiffness of diaphragm

CqM,k

the rotational stiffness of the diaphragm

CqA,k

the rotational stiffness of the connection between the diaphragm and the beam

CqP,k

the rotational stiffness due to the distortion of the beam

k

numerical coefficient

= 2 for single or two spans of the diaphragm

= 4 for 3 or more spans of the diaphragm

EIeff

bending stiffness of per unit width of the diaphragm

s

spacing of the beam

ba

the width of the beam flange (in mm)

C100

rotation coefficient - see table

h

beam height

t

thickness beam flange

s

thickness beam web

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