A steel has a tensile strength of 80 kpsi and is used at a steady temperature of 750 degrees F. If only the room temperature strength is known, what is the estimated tensile strength at the operating temperature?

Correct answer: 71.2 kpsi

Explanation

For steels operating at elevated temperatures (but below the creep range), their ultimate strength can be estimated by applying a temperature correction factor to the known room-temperature strength. Equation (6-26) provides a polynomial curve fit for this correction factor.

Other questions

Question 1

What are the three stages that characterize a fatigue failure?

Question 2

Which fatigue-life method is most traditional, easiest to implement for a wide range of applications, and based on nominal stress levels and empirical data?

Question 3

What is the estimated rotating-beam endurance limit, S'e, for a steel with an ultimate tensile strength (Sut) of 180 kpsi?

Question 4

In the Marin equation for the endurance limit, Se = ka*kb*kc*kd*ke*S'e, what does the factor 'ka' represent?

Question 5

A steel component has a machined surface and an ultimate tensile strength of 100 kpsi. Using the curve-fit parameters from the text, what is the estimated surface factor, ka?

Question 6

What is the relationship between the fatigue stress-concentration factor (Kf), the theoretical stress-concentration factor (Kt), and the notch sensitivity (q)?

Question 7

A steel shaft has an ultimate strength of 690 MPa and a shoulder fillet radius of 3 mm. A theoretical stress concentration factor Kt of 1.65 is determined. Using the Neuber constant method from the text, what is the estimated fatigue stress concentration factor Kf?

Question 8

For a component under fluctuating stress, if the mean stress (σm) is positive, which infinite-life fatigue criterion is generally considered simple and conservative for design purposes?

Question 9

A steel bar has a fully corrected endurance limit Se of 40 kpsi and an ultimate strength Sut of 100 kpsi. It is subjected to an alternating stress σa of 12 kpsi and a mean stress σm of 36 kpsi. What is the factor of safety for infinite life according to the Goodman criterion?

Question 10

The Palmgren-Miner rule is used to assess what aspect of fatigue?

Question 11

According to the linear damage rule (Miner's rule), if a part is subjected to n1 cycles at stress level σ1 where the life to failure is N1, and n2 cycles at stress level σ2 where the life to failure is N2, when is failure predicted to occur?

Question 12

What is the primary physical mechanism that leads to the initiation of a fatigue crack?

Question 13

What are the characteristic visual features on a Stage II fatigue fracture surface that indicate the progression of the crack?

Question 14

For a non-rotating round bar in bending, the size factor kb is determined using an effective diameter, de. What is the relationship between de and the actual diameter d?

Question 15

What is the recommended Marin load factor, kc, for a part subjected to pure axial loading?

Question 16

In the Paris equation for crack growth, da/dN = C*(ΔKI)^m, what does Region II on the crack growth rate curve represent?

Question 17

Using the conservative values for ferritic-pearlitic steels from the text, what are the material constants C and m for the Paris equation when using units of in/cycle and kpsi*sqrt(in)?

Question 18

What is the primary characteristic of a 'repeated stress' condition in constant amplitude loading?

Question 19

What is the defining characteristic of low-cycle fatigue?

Question 20

For a steel with an ultimate strength (Sut) of 90 kpsi, what is the estimated fatigue strength fraction, f, used to find the fatigue strength at 1000 cycles?

Question 21

What is the primary reason that aluminum alloys typically do not exhibit an endurance limit?

Question 22

When checking for first-cycle yielding in a fluctuating stress scenario (σa + |σm|), which strength property should be used for comparison?

Question 23

The Morrow fatigue criterion is similar to the Goodman criterion but replaces the ultimate strength (Sut) with what material property?

Question 24

What is a major advantage of the Smith-Watson-Topper (SWT) criterion compared to criteria like Goodman or Gerber?

Question 25

For a component made of a brittle material like cast iron, how does the first-quadrant fatigue failure locus typically appear on a fluctuating-stress diagram?

Question 26

When analyzing a combination of fluctuating bending and torsional loads on a shaft, how are the alternating and mean stresses combined to find an equivalent stress?

Question 27

According to Manson's method for cumulative damage, what is the key difference from the Palmgren-Miner method regarding the S-N diagram?

Question 28

What is the reliability factor (ke) for a desired reliability of 99.9 percent, assuming an 8 percent standard deviation of the endurance limit?

Question 29

Why must a hardened steel washer be used under a bolt head in a fatigue-loaded joint?

Question 30

What is the effect of a compressive mean stress on the fatigue life of a ductile component, according to the experimental data shown in the text?

Question 32

For a steel with Sut > 200 kpsi (or 1400 MPa), what is the estimated rotating-beam endurance limit, S'e?

Question 33

If a fatigue analysis using the Goodman criterion results in a factor of safety (nf) of 0.69, what does this predict about the component's life?

Question 34

To estimate the finite life of a component with a fluctuating stress, an equivalent completely reversed stress (σar) is calculated. Using the Morrow criterion, what is the formula for σar?

Question 35

The Walker fatigue criterion, Se = (σm + σa)^(1-γ) * σa^γ, is a more generalized version of which other criterion?

Question 36

When adapting fatigue failure criteria for a pure shear stress case, the ultimate tensile strength (Sut) is replaced with the ultimate shear strength (Ssu). What is the recommended conservative estimate for Ssu?

Question 37

What is the primary distinguishing characteristic of a 'fail-safe' design philosophy?

Question 38

A 1050 HR steel with Sut = 90 kpsi has a polished rotating-beam specimen endurance limit S'e of 45 kpsi and a fatigue strength fraction f of 0.86. What is the expected life in cycles for a completely reversed stress of 55 kpsi?

Question 39

What is the primary reason for the reduction in fatigue strength due to electrolytic plating like chromium or nickel plating?

Question 40

What phenomenon, resulting from microscopic motions of tightly fitting parts, involves surface discoloration, pitting, and can lead to eventual fatigue failure?

Question 41

What is the notch sensitivity, q, for all grades of cast iron recommended in the text?

Question 42

What is the primary trade-off when choosing between the stress-life and strain-life fatigue methods for high-cycle fatigue applications?

Question 43

In the context of the strain-life method, what is the Basquin equation?

Question 44

If a fatigue analysis of a rotating shaft subjected to a bending moment of 150 N-m and a torque of 120 N-m results in an alternating von Mises stress of 104 MPa, and the material's fully corrected endurance limit is 148 MPa, what is the fatigue factor of safety for infinite life?

Question 45

In a fluctuating-stress diagram, what do the Langer lines represent?

Question 46

Which infinite-life fatigue criterion is specified in the ANSI/ASME Standard B106.1M-1985 for the design of transmission shafting?

Question 47

What is the primary deficiency of the Goodman criterion when used to estimate an equivalent completely reversed stress for finite-life calculations?

Question 48

In Basquin's equation, Sf = a * N^b, what do the constants 'a' and 'b' represent on a log-log plot of the S-N curve?

Question 49

If a steel has an ultimate strength of 70 kpsi, the estimated endurance limit S'e is 35 kpsi. The fatigue strength at 1000 cycles is found to be 0.9 * 70 = 63 kpsi. What is the value of the constant 'b' in the Basquin equation for this steel?

Question 50

What is the primary reason to use a damage-tolerant design approach instead of a fail-safe approach?