When this option is cleared, the bolt's length
at zero stress state L0 is
determined based on the length of bolt at the start of analysis
Lst, which corresponds to the
undeformed geometry state of the components attached through the
bolt connector. The bolt's length at zero stress state is
calculated from:
L0 = Lst / (1+(P/A*E))
As the nonlinear analysis progresses, the bolt's
length Lstep at each analysis step
adapts itself to the deformed geometry of the attached
components as they deform due to the applied loads. The bolt's
final stress at the end of the nonlinear analysis differs from
the user-defined pre-load stress. The bolt's axial load at each
analysis step is calculated from:
Pstep = A* E* (Lstep - L0) / L0
When this option is checked, the program first runs an analysis with the
user-defined pre-load P as initial condition without any
external loads. The deformation of the parts connected through
the bolt is calculated and is used to determine the bolt's
length at zero stress state L0. Let
us define Lf as the deformed length
of bolt that corresponds to the settlement of the connecting
parts due to prestress. The bolt’s length at zero stress is then
calculated from:
L0= Lf / (1+(P/A*E))
For the second step of the analysis, all applied
loads are included. The bolt's axial load at each analysis step
is calculated from:
Pstep = A* E* (Lstep - L0) / L0
During the analysis, if (a) Lstep <= L0 then the bolt is loose, and if (b) Lstep > L0, the bolt is under tension and keeping parts
together.
Notation:
- P: User-defined axial pre-load
- Pstep:
Axial load of bolt at current analysis step
- A: Bolt section area
- E: Bolt material modulus of
elasticity
- L0:
Original length of bolt at zero stress state
- Lst: Length of bolt at start of analysis
(corresponds to the undeformed geometry state of the
components attached through the bolt)
- Lf:
Deformed length of bolt after settlement of connecting
parts due to prestress (Keep bolt-prestress
selected)
- Lstep:
Deformed length of bolt at current analysis step
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