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And the fatigue limit state:<br />

STRUCTURAL VERIFICATION OF SHAFT<br />

For purpose of the structural strength calculations, the following cross-sectional proper-<br />

ties are established from the dimensions on figure G.1.<br />

Cross-sectional area:<br />

Section modulus:<br />

The cross-sectional stresses from the forces and moments within each load case are calcu-<br />

lated and compared with the limit values in the following paragraphs.<br />

Load case A<br />

W S<br />

A S<br />

�<br />

� lim.f<br />

The fatigue stress ranges are calculated individually from the thrust loading (�FxS), the<br />

torsion moment (�MxS) and the bending moment (�MS):<br />

�<br />

�<br />

32<br />

� xS<br />

� MS<br />

� MS<br />

�<br />

f k<br />

� m � f<br />

�<br />

4 D2 d 2<br />

�<br />

D 4<br />

�<br />

�<br />

�<br />

� 288 MPa<br />

� � 393 mm 2<br />

d 4<br />

�<br />

D<br />

�F xS<br />

A S<br />

�M S<br />

W S<br />

�M xS<br />

2W S<br />

�<br />

The resulting equivalent stress is calculated and compared to the design limit stress:<br />

� � 2<br />

�eq � �xS � �MS �<br />

�eq �<br />

�lim.f 2.13 10 3<br />

� mm 3<br />

� 0.52 MPa<br />

� 53.9 MPa<br />

� 9.05 MPa<br />

2<br />

� 3�MS � 56.7 MPa<br />

(G.3)<br />

(G.4)<br />

(G.5)<br />

(G.6)<br />

(G.7)<br />

(G.8)<br />

(G.9)<br />

(G.10)<br />

191

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