Calculations and Output
Reaction Forces in Supports
The reaction forces in each support are caculated. Also shaft with more than 2 supports (hyperstatic cases) are supported.
A load list for a free body system in static equilibrium is determined.
Bending Moments Diagram
Calculation of moments list with moment records.
Moments and axial force record: z, Mbx, Mby, Mbr, Mz, Fz
Graphical representation in a graphic view in a window. Graphic view is to print on a sheet.
Click on an item in the list to look at an example of moment diagrams:
Static and dynamic strength
The static and dynamic strength of shafts is determined according the method developed in the text book
Niemann-Winter-Höhn Maschinenelemente Band 1 4. Auflage 2005. The safety factors on yield and failure are to determine
for static stress, the safety factors on failure for dynamic stress. This is to do for tensile -, bending -
and torsional stress separately. The comparison safety factor is finally to determine with a mixte fail criterion for
ductile and brittle materials. The ductility proportion is determined by the ductile factor q.
The stress notation from the text book is used in the application. Notch effect is taken into account with a local increase (static) or
decrease (dynamic) in component strength. The component strength is noted in red line on the diagrams.
Static Stress Diagram
The application determines the static tensile/compressive, bending and torsional stress separately with the nominal concentrated load list.
The static component yield and failure strength is determined and so is the safety factor for each stress type.
The combined safety factor is finally determined.
|
Quantity |
Tensile/Compr |
Bending |
Torsion |
Combined |
|
Nominal stress |
σzd |
σb |
τt |
|
Component yield strength |
σFKzd |
σFK,b |
τFK,t |
|
Safety factor yield |
SFzd |
SFK,b |
SFK,t |
SF |
|
Component ultimate strength |
σBKzd |
σBK,b |
τBK,t |
|
Safety factor failure |
SBzd |
SBK,b |
SBK,t |
SB |
Output in table form in window. See for Static Stress Diagram.
Dynamic Stress Diagram
The application determines the dynamic equivalent forces and moments with the application factor KA.
Stress amplitudes are determined:
|
Quantity |
Tensile/Compr |
Bending |
Torsion |
Combined |
|
Stress amplitude |
σazd |
σab |
τat |
|
Component dynamic strength |
σAKzd |
σAK,b |
τAK,t |
|
Safety factor failure |
SDzd |
SD,b |
SD,t |
SD |
Output in table form in window. See for Dynamic Stress Diagram.
Elastic lateral deflection
Input of permissible relative or absolsute lateral deflection and the relative or absolute twist angle. Calculation of
maximum deflection between each span, slope of elastic line in supports.
Diagrams:
Critical Speeds
The upper and lower limit of bending and torsional critical speeds are calculated.
Design of shafts
The ideal shaft profile is calculated for the given load list. The user should then decide how the executable profile will
look like. Graphical representation.
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