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Fatigue and Damage Tolerance Questions and Answers

61.

Consider the following statements about widespread fatigue damage:

1. It involves many cracks at similar details appearing at once.

2. Adjacent cracks can link up through the remaining ligaments.

3. It strengthens the case for fail-safe design.

Which of the statements given above is or are correct?

Answer: A

The first two describe the phenomenon. The third is the reverse: widespread damage undermines the fail-safe assumption that alternative load paths remain intact, which is why ageing aircraft programmes address it specifically.

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62.

Match each quantity in List I with its definition in List II.

List I

A. Stress intensity factor

B. Fracture toughness

C. Stress ratio

D. Fatigue notch factor

List II

1. The critical value at which unstable fracture occurs

2. Y sigma root pi a, describing the crack tip field

3. The effective stress concentration in fatigue

4. Minimum stress over maximum stress

Select the correct match.

Answer: B

Correct answer: A-2, B-1, C-4, D-3

The pairing turns on which quantities are material properties and which describe a particular situation. The stress intensity factor \( Y\sigma\sqrt{\pi a} \) describes the crack tip field of a specific crack under a specific stress; the fracture toughness is the material’s critical value of it. The stress ratio is the ratio of the extremes, and the fatigue notch factor the effective concentration a notch produces in fatigue.

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63.

Match each rule or law in List I with what it predicts in List II.

List I

A. Miner's rule

B. Paris law

C. Goodman relation

D. Notch sensitivity

List II

1. Crack growth per cycle from the stress intensity range

2. Cumulative damage from blocks of cycles

3. How much of the elastic stress concentration is felt in fatigue

4. The effect of mean stress on allowable amplitude

Select the correct match.

Answer: C

Between them these cover the two halves of the subject: the first and last belong to stress-life analysis, and the Paris law to crack growth. Goodman bridges them by correcting constant-amplitude data to real mean stresses.

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64.

Match each life improvement measure in List I with its mechanism in List II.

List I

A. Cold working a hole

B. Shot peening

C. Interference-fit fastener

D. Generous corner radius

List II

1. Compressive residual stress in the surface layer

2. Compressive residual stress around the hole

3. Reduced stress concentration

4. Reduced stress range at the hole edge

Select the correct match.

Answer: D

Three of the four work by residual stress or by reducing the range actually experienced, and only the last attacks the geometry itself. Combining them, as a fatigue-critical joint usually does, is more effective than any one alone.

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65.

Match each design philosophy in List I with its defining requirement in List II.

List I

A. Safe life

B. Fail-safe

C. Damage tolerance

D. Static strength only

List II

1. An alternative load path if one member fails

2. Retirement at a fixed life

3. Carry limit and ultimate load, no fatigue consideration

4. Crack growth analysis setting inspection intervals

Select the correct match.

Answer: A

The three fatigue philosophies form a historical sequence, each answering a shortcoming of the last. Modern transport certification rests on damage tolerance, with safe life retained only where redundancy cannot be provided.

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66.

Match each fatigue-related phenomenon in List I with where it typically occurs in List II.

List I

A. Fretting fatigue

B. Corrosion fatigue

C. Widespread fatigue damage

D. Overload retardation

List II

1. In humid environments, at pits acting as initiation sites

2. At clamped interfaces undergoing micro-slip

3. In a variable-amplitude spectrum containing occasional large cycles

4. At many similar details in an ageing airframe

Select the correct match.

Answer: B

Correct answer: A-2, B-1, C-4, D-3

Each phenomenon belongs to a distinct condition. Fretting fatigue arises at clamped interfaces where micro-slip damages the surface, corrosion fatigue in humid environments where pits become initiation sites, widespread fatigue damage at the many similar details of an ageing airframe, and overload retardation in a spectrum containing occasional large cycles, whose plastic zone slows the subsequent growth.

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Answer: C

Correct answer: Leaving a sharp corner at a section change

A sharp re-entrant corner is a stress raiser, and fatigue cracks start at stress raisers - so leaving one shortens the life rather than extending it. The other three all help: shot peening and cold working put the surface into residual compression, and a generous radius reduces the concentration factor at source.

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Answer: D

Correct answer: It removes the need for scheduled inspection

Damage tolerance depends on inspection rather than replacing it. The philosophy assumes a crack is present, calculates how long it takes to grow to critical, and sets the inspection interval so that at least two opportunities to find it fall within that period. Remove the inspections and the whole argument collapses.

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Answer: A

Correct answer: It is a property of the material

The stress intensity factor is a property of the situation, not the material: it combines the applied stress, the crack length and the geometry, and any material would experience the same \( K \) in the same configuration. The fracture toughness \( K_{IC} \) is the material property, being the critical value of \( K \) at which that material fractures.

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Answer: B

An overload leaves a compressive residual stress at the crack tip that retards subsequent growth, so it lengthens life rather than shortening it. That retardation is why test spectra must represent such cycles carefully.

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