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# hmwk5d - ME541 Fatigue of Materials Homework 5 Solutions...

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ME541 Fatigue of Materials Homework 5 Solutions 4.1) From the given information, the notch sensitivity factor, q, is first determined, then K f is determined from the relation, 1 K 1 K q t f = or, 1 1) q(K K t f + = for 3.0 K t = . Note that q can be determined either from the Notch Sensitivity Curves or from the relation + = r a 1 1 q where 3 1.8 10 UTS(ksi) 300 a × = Radius of hole, r (in) UTS (ksi) q 1 1) q(K K t f + = (a) 0.025 100 0.78 2.55 (b) 0.025 50 0.50 2.00 (c) 0.025 200 0.92 2.85 (d) 0.0025 100 0.26 1.51 (e) 0.25 100 0.97 2.94 As r increases and S u increase, the value of q increases (limiting value of 1). As q increase to 1, K f goes to K t . 4.12) Notched rotating bending. Specimen of 0.3 in diameter with radial hole of 0.055 in diameter. K t = 2.05, S u = 97 ksi, S e unnotched f = 150 ksi. For the first method, 1.16 1 1) X(K K' f f = + = where X = 0.2 is from Fig. 4.10. 1.82 r a 1 1 K K t f = + = for in 0.0076 10 UTS(ksi) 300 a 3 1.8 = × = Solving for the curve fitting constants for Figure 4.11. b c N 10 S = gives and 0.151 K S K' 0.9S log 3 1 b f e f u = = ( ) 2.329 K S K' 0.9S log C f e 2 f u = = Solving for the curve fitting constants for Figure 4.12 b c N 10 S = gives 2.176 log σ C and 0.126 /K S σ log 6 1 b f f e f = = = =

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Calculate the stress amplitude for the various cycles to failure gives The estimation procedures agree with each other, but are off from the experimental about 35% at the higher stresses and about 2% at the lower
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hmwk5d - ME541 Fatigue of Materials Homework 5 Solutions...

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