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1984.
7. F.Matanzo, "Fatigue Testing of Wire Rope." MTB-Journal Vol.6 No.6.
8. S.Gran, Evaluation of High Cycle Fatigue in Welded Steel Connections.

Det norske Veritas, Report No.76-339.
9. S.Gran, "Fatigue in Offshore Cranes". Norwegian Maritime Research, No.4

1983, 2-12.
10. Y.K.Lin, Probabilistic Theory of Structural Dynamics. Robert E.Krieger

Publishing Company. Huntington, New York, 1976 p.99.
11. H.E.Boyer, editor, "Atlas of Fatigue Curves," American Society for

Metals, Metals Park, Ohio 44073, 1986.

Postscript Equations to Article 4.7.

Section 4.7.1 - Fatigue Loading.

Equation (4.7.1): f sub 1 (S) = g(a, h, X; S) = |h| over { GAMMA (a) X} ( S over X ) sup ah-1 e sup{-(S/X) sup h}

Equation (4.7.2): a = 1 h = 2 X = 2 sqrt 2 sigma sub s

Equation (4.7.3): a = 1 h = 1 X = S bar = sigma sub S

Equation (4.7.4): f sub 2 (X) = g(b, j, B; X) = |j| over { GAMMA (b) B} ( X over B ) sup bj-1 e sup{-(X/B) sup j}

Equation (4.7.5): f(S) = int f sub 1 (S) f sub 2 (X) dX

Equation (4.7.6):
M sub m = B sup m {GAMMA (a + m over h ) GAMMA (b + m over j )} over{GAMMA
(a) GAMMA (b)}

Equation (4.7.7): f (S) = g(d, k, D; S) = |k| over { GAMMA (d) D} ( S over D ) sup dk-1 e sup{-(S/D) sup k}

Equation (4.7.8): a = b = d = 1

Section 4.7.2 - Fatigue Data.

Equation (4.7.9):
N sub f = N(S) = ( {S sub 1}over S ) sup m = A over{S sup m} roman where
A = S sub 1 sup m

Section 4.7.3 - Closed-form Fatigue Life Formulae.

Equation (4.7.10): eta = sum{n(S)}over{N(S)}

Equation (4.7.11): eta = n int 1 over{N(S)} f(S) dS

Equation (4.7.12): eta = n over{S sub 1 sup m} int from 0 to inf S sup m f(S) dS = n over{S sub 1 sup m} M sub m

Equation (4.7.13):
DELTA eta = n ( X over{S sub 1}) sup m {GAMMA (a + m/h)}over{GAMMA (a)}

Equation (4.7.14): eta = n ( D over{S sub 1}) sup m {GAMMA (d + m/k)}over{GAMMA (d)}

Equation (4.7.15): eta = n ( B over{S sub 1}) sup m {GAMMA (a + m/h)}over{GAMMA (a)} {GAMMA (b
+ m/j)}over{GAMMA (b)}

Equation (4.7.16):
GAMMA (1 + x) = x!

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