Verification of solid cross-sections
Verification of shear resistance
The verification of the shear resistance is done in two directions (y and z). Following expression is used:
Where is: | Q |
|
Vfi,θ,Rd |
|
Verification of axial stress in cross-section
The axial stress in the cross-section may be caused by axial force N, bending moments My, Mz and bimoment B. The combination of these forces and moments is verified.
The verification without consideration of buckling and lateral torsional buckling is done according to the following expression:
Where is | Nfi,θ,Rd |
|
Mc,fi,θ,Rd,y |
| |
Mc,fi,θ,Rd,z |
| |
Bfi,θ,Rd |
|
The verification including the consideration of buckling is done according to the following expression:
The formula for classes 1 and 2:
Where is: | Nb,fi,θ,Rd |
|
ky, kz |
|
The factors ky, kz are given by the expression
but
Where is: | χy, χz |
|
and factors μy, μz are given by equations
but
Where is: | , |
|
βMy, βMz |
|
The formula for the class 3:
Where is: | Nb,fi,θ,Rd |
|
ky, kz |
|
The factors ky, kz are given by the expressions
but
Where is: | χy, χz |
|
and factors μy, μz are given by equations
but
Where is: | , |
|
βMy, βMz |
|
The formula for the class 4:
Where is: | Nb,fi,θ,Rd |
|
ky, kz |
|
The factors ky, kz are given by the expressions
but
Where is: | χy, χz |
|
and factors μy, μz are given by equations
but
Where is: | , |
|
βMy, βMz |
|
The verification including the consideration of buckling and lateral torsional buckling is done according to the following expression:
The formula for classes 1 and 2:
and
The formula for the class 3:
and
Where is: | Nfi,θ,Rd,z |
|
Nfi,θ,Rd,y |
| |
Mc,fi,θ,Rd,y |
| |
Mc,fi,θ,Rd,z |
| |
Mb,fi,θ,Rd,y |
| |
Mb,fi,θ,Rd,z |
| |
Bfi,θ,Rd |
|
The factor kLT is given by the expression
but
Where is: | χy, χz |
|
and the factor μLT is given by the expression
but
Where is: | , |
|
βM,LT |
|
The formula for the class 4:
and
Where is: | Nfi,θ,Rd,z |
|
Nfi,θ,Rd,y |
| |
Mc,fi,θ,Rd,y |
| |
Mc,fi,θ,Rd,z |
| |
Mb,fi,θ,Rd,y |
| |
Mb,fi,θ,Rd,z |
| |
Bfi,θ,Rd |
|
The factor kLT is given by the expression
but
Where is: | χy, χz |
|
and the factor μLT is given by the expression
but
Where is: | , |
|
βM,LT |
|
If the shear verification fails for particular directions y and z, the value 1.0 is used for corresponding direction in equations described above.