Mechanics of Materials 1 Part 8 pps

Mechanics of Materials 1 Part 8 pps

Mechanics of Materials 1 Part 8 pps

... Introduction 11 .1. 1 The SIN curve 1 1. 1.2 PISIN curves 1 1 .1. 3 Effect of mean stress 1 1 .1. 4 Effect of stress concentration 11 .1. 5 Cumulative damage 1 1. 1.6 Cyclic stress-strain 1 1 .1. 7 ... COS 28 (1. 13) Combining eqns. ( 1 .12 ) and (1 .13 ) gives (1. 14) and combining eqns. (1 .lo) and (1. 1 1) gives I, + I,, = I, + I, (1. 15)...

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High Cycle Fatigue: A Mechanics of Materials Perspective part 8 ppsx

High Cycle Fatigue: A Mechanics of Materials Perspective part 8 ppsx

... Introduction and Background 0 0.5 1 1.5 2 1 –0.5 0 0.5 1 Haigh equation k 1 = 0.0, k 2 = 1. 0 k 1 = 0.25, k 2 = 0.75 k 1 = 0.5, k 2 = 0.5 k 1 = 0.75, k 2 = 0.25 k 1 = 1. 0, k 2 = 0.0 σ mean /σ ult σ alt ... aid of Figure 2.40, where the conditions for initiation compared to propagation are shown schematically. The initiation of a crack, if associated with the 0 ×...

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Mechanics of Materials 1 Part 3 ppsx

Mechanics of Materials 1 Part 3 ppsx

... 0 1 2 2 3 4 5 6 0 10 0~ 6= 600 10 0x12 =12 00 12 00 13 20 14 40 16 80 19 56 - 72 69 69 68 66.3 61. 6 54.5 - 10 0 10 0 12 12 12 12 12 - 3.2 6.2 51. 3 55.6 59 .1 64 .1 66.0 ... 15 00 3000 416 0 2500 2500 2000 10 00 0 34 .1 26.6 20 .8 33.4 33.4 38. 4 48. 4 - 10 0 10 0 10 0 10 0 50 50 50 0 35 .8 55 .8 60.6 58. 4...

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Mechanics of Materials 1 Part 5 pps

Mechanics of Materials 1 Part 5 pps

... 9.37 58) - (1. 25 W - 6.2 58) 1 - EI x 10 3 1 =- (1. 56 W+ 15 .62 58) EI x 10 3 Now the total horizontal deflection of A = 0 -3 .12 5 W+ 5.2 088 + 1. 56 W+ 15 .62 58 = 0 - 1. 565 ... aM My, = 0 .1 W-Hs, and ~ aH 0.25 .I 0 0.25 1 E1 = - 1 (-0 .1 Ws, + Hs:)ds, 0 1 0. 015 62 58 +3 (- 3 .12 5 W+ 5.2 088 ) 1 - EI x...

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Mechanics of Materials 1 Part 6 pps

Mechanics of Materials 1 Part 6 pps

... 4~2 ~1 336 Mechanics of Materials $13 .7 re I up =ux uq =uy =o r,, :O 1 1 1 I 1 I I O0 45" 90" 13 5' 18 0" 225' 270" 315 ' ? 3" ;8 ... +42: ,1 = 3 x 20 + 3J[202 + (4 x 402)] = 10 + 5J( 68) = 10 + 5 x 8. 246 = 51. 23MN/mZ and a2 = 10 - 41. 23 = - 31. 23 MN/m2 (b) Then a -a, 51. 2...

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Mechanics of Materials 1 Part 7 ppsx

Mechanics of Materials 1 Part 7 ppsx

... the points of intersection of the loci and the load line with a slope of 10 0/ - 10 0 = - 1. 400k2 Distortion energy Max principal stress Fig. 15 . 18 . Thus from Fig. 15 . 18 the safety ... each type of gauge the reader is referred to the references listed at the end of this chapter. 4 48 Mechanics of Materials 16 .1S 16 .15 . Production of fringe patt...

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Mechanics of Materials 1 Part 15 pps

Mechanics of Materials 1 Part 15 pps

... del 2 (11 t dsl + (12 t dS2 ~ ) = pdsl .dS2 2 2 Fatigue, Creep and Fracture 50 1 a- da = i 1 (1 12~&iii)~.* 0.005 = 14 .8( -11 .88 + 11 78) = 11 56 cycles. Example 11 .13 In ... + C) 10 23 (1, 3000 + C) = 10 73 (1, 500 + C) 10 23 (8. 0064 + C) = 10 73(6. 214 6 + C) 81 9 0.5 + 10 23C = 66 68. 27 + 10 73C 15 22.23 = 50C C = 30.44. 5 18...

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High Cycle Fatigue: A Mechanics of Materials Perspective part 2 pps

High Cycle Fatigue: A Mechanics of Materials Perspective part 2 pps

... University Press, New York, 19 98. Hertzberg, R.W., Deformation and Fracture Mechanics of Engineering Materials, 3rd ed., Wiley, New York, 19 89 . x Chapter 1 Introduction 1. 1. HISTORICAL BACKGROUND Fatigue ... consideration in the disciplines of solid mechanics or strength of materials. In fact, one of the earliest researchers to address the topic was Wöhler [1] , who, i...

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High Cycle Fatigue: A Mechanics of Materials Perspective part 7 ppsx

High Cycle Fatigue: A Mechanics of Materials Perspective part 7 ppsx

... −3 01 9E +11 0 1 −5956E +14 05 −4 91 0E +12 0 8 −7 51 9E +11 0 10 20 30 40 50 010 20304050 59 Hz HCF data Alternating stress (ksi) Mean stress (ksi) R = 1 R = –0.33 R = 0 .8 R = 0.5 R = 0 .1 46 ... subset Number of tests k m Walker exponent, w A R ≤−0 1 @ 59 Hz 24 5 .83 E16 −7 17 0 16 5 C R ≤−0333 @ 59HzR= 0 1 @ 370–400 Hz 20 7.63E16 −6 98 03 81 7 52 Introduc...

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High Cycle Fatigue: A Mechanics of Materials Perspective part 15 ppsx

High Cycle Fatigue: A Mechanics of Materials Perspective part 15 ppsx

... several steels: 0 .86 % carbon, 0 .11 % carbon, rolled, Armco iron, Copper Aluminium a b 0 .86 % carbon Armco iron FREQUENCY-CYCLES PER SEC. 10 ,000 3,000 1, 000 300 14 16 18 20 22 24 26 28 30 32 34 4 5 6 FATIGUE ... behavior of materials. Dealing ∗ See Chapter 2, Section 2, for a discussion of gigacycle fatigue and testing at 20 kHz. 12 8 Introduction and Background 5 5.5 6...

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