For angle profiles the von Mises check is checked at 8 stress points as shown in figure below.
Axes y and z are principal axes.
Axes u and w are local axes.
Cross section properties
where
Ax
, Ix
, Iy
, and Iz
| = | taken from the STAAD.Pro database |
Ay
| = |
, applied in STAAD.Pro print option PRINT MEMBER STRESSES
|
Az
| = |
(Az is not used in code checks) |
τy
| = |
|
τz
| = |
|
h2
| = |
0.5h1 = t
|
f
| = |
h1e
|
d
| = |
|
g
| = |
|
Iu
| = |
|
Iw
| = |
|
Iwu
| = |
|
α
| = |
|
Section forces
The section forces from the STAAD.Pro
analysis are about the principle axis y and z.
The second moment of area (Ty L TZ):
Ty = A Z
Tz = A Y
Stress calculation at selected stress points
Point No |
σx
|
σby
|
σbz
|
τx
|
τy
|
τz
|
1 |
|
|
|
|
0 |
0 |
2 |
0 |
|
|
|
3 |
|
|
4 |
|
|
5 |
|
|
6 |
0 |
|
7 |
|
|
8 |
|
0 |
0 |
0 |
An additional torsional moment is calculated based on:
MT = Fy Z4
MT = Fz Y4
This torsion moment is included in Mx if Fy and FZ exist.
Beta-rotation of equal & unequal legged angles
Note: The order of the joint numbers in the member incidence command specifies the direction of the local x-axis.
Beta rotation of angles