Computation of Stresses
The stresses are computed using the following expressions:
•
Axial Stress
•
Bending Axial Stresses
•
Bending Shear Stresses
•
Torsional Shear Stresses
•
Equivalent Stress
Axial Stress
The axial stress is computed as:
where N is the axial force.
Bending Axial Stresses
The bending stresses are computed as:
Where
M
1
is the moment around the first principal axis and
M
2
is the moment around the second principal axis.
Bending Shear Stresses
The components of the shear stresses caused by a shear force
T
1
along the x1 axis are:
The components of the shear stresses caused by a shear force
T
2
along the x2 axis are:
In both cases, the resultants are also computed as:
and
Torsional Shear Stresses
The components of the shear stress caused by Saint-Venant torsion are:
where
M
t
is the twisting moment. The resultant is computed as:
Equivalent Stress
The von Mises equivalent stress is computed from the stress components defined above using the expression:
and 