Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 11, Problem 8ETSQ
To determine
The probability of surviving
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Example: the low cycle fatigue of a certain steel is given by life cycle equation-2:
(of/E)=0.005
E=0.07
b= -0.08
c= -0.7
a. What is the value of the transition fatigue life, in this case 2 N/when Ɛɛ = Ep
b. What is the total strain amplitude at the transition fatigue life?
Solid mechanics
3. Given the following fatigue data for a brass alloy:
Cycles to Failure
2 x 105
1х 106
Stress Amplitude (MPa)
310
223
191
3х 106
168
1 x 107
153
3х 107
143
1х 108
134
3х 108
127
1х 109
a.) Plot the S-N curve for this alloy.
b.) Does this material have an endurance limit? Explain.
c.) Determine the fatigue strength at 5 x 105 cycles.
d.) Determine the fatigue life for 200 MPa.
e.) If the loading in part c is uniaxial, what is the minimum diameter of a circular rod
required for this application if the maximum load is 500 kN?
Chapter 11 Solutions
Materials Science And Engineering Properties
Ch. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQ
Ch. 11 - Prob. 11CQCh. 11 - Prob. 12CQCh. 11 - Prob. 13CQCh. 11 - Prob. 14CQCh. 11 - Prob. 15CQCh. 11 - Prob. 16CQCh. 11 - Prob. 17CQCh. 11 - Prob. 18CQCh. 11 - Prob. 19CQCh. 11 - Prob. 20CQCh. 11 - Prob. 21CQCh. 11 - Prob. 22CQCh. 11 - Prob. 23CQCh. 11 - Prob. 24CQCh. 11 - Prob. 25CQCh. 11 - Prob. 26CQCh. 11 - Prob. 27CQCh. 11 - Prob. 28CQCh. 11 - Prob. 29CQCh. 11 - Prob. 30CQCh. 11 - Prob. 1ETSQCh. 11 - Prob. 2ETSQCh. 11 - Prob. 3ETSQCh. 11 - Prob. 4ETSQCh. 11 - Prob. 5ETSQCh. 11 - Prob. 6ETSQCh. 11 - Prob. 7ETSQCh. 11 - Prob. 8ETSQCh. 11 - Prob. 9ETSQCh. 11 - Prob. 10ETSQCh. 11 - Prob. 11.1PCh. 11 - Prob. 11.2PCh. 11 - Prob. 11.3PCh. 11 - Prob. 11.4PCh. 11 - Prob. 11.5PCh. 11 - Prob. 11.6PCh. 11 - Prob. 11.7PCh. 11 - Prob. 11.8PCh. 11 - Prob. 11.9PCh. 11 - Prob. 11.10PCh. 11 - Prob. 11.11PCh. 11 - Prob. 11.12PCh. 11 - Prob. 11.13PCh. 11 - Prob. 11.14P
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- If the yield stress in part c is considered failure stress, what is the maximumworking stress to be applied to this material if a factor of safety of 1.5 is used?arrow_forwardA cylindrical specimen of a metal alloy 47.5 mm long and 9.72 mm in diameter is stressed in tension. A true stress of 397 MPa causes the specimen to plastically elongate to a length of 54.3 mm. If it is known that the strain-hardening exponent for this alloy is 0.2, calculate the true stress (in MPa) necessary to plastically elongate a specimen of this same material from a length of 47.5 mm to a length of 55.8 mm. i MPaarrow_forwardExample: the low cycle fatigue of a certain steel is given by life cycle equation-2: (of/E)=0.005 E=0.07 b= -0.08 c= -0,7 a. What is the value of the transition fatigue life, in this case 2 N/when E - Ep b. What is the total strain amplitude at the transition fatigue life?arrow_forward
- A copper rod is deformed using a uniaxial tensile force of 16000 N. Deformation continues until sufficient strain hardening has occurred such that the applied force is too small to allow further deformation. After deformation, the rod has a diameter of 0.01 m and a length of 1.5 m. Assume that copper follows the strain hardening lawwith K of 310 MPa and n=0.54 Please calculate the true strain after the deformation ?arrow_forwardPlease solve all parts asap.arrow_forwardi need the answer quicklyarrow_forward
- S Figure P1.16 shows the stress-strain relations of metals A and B during ten- sion tests until fracture. Determine the following for the two metals (show all calculations and units): a. Proportional limit b. Yield stress at an offset strain of 0.002 m/m. c. Ultimate strength d. Modulus of resilience e. Toughness f. Which metal is more ductile? Why? 900 Metal A 600 Metal B 300 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 Strain, m/m FIGURE P1.16 Stress, MPaarrow_forwardQuestion No.2 Figure P1.16 shows the stress-strain relations of metals A and B during ten- sion tests until fracture. Determine the following for the two metals (show all calculations and units): a. Proportional limit b. Yield stress at an offset strain of 0.002 m/m. c. Ultimate strength d. Modulus of resilience e. Toughness f. Which metal is more ductile? Why? 000 -Metal A S 600 -Metal B 300 0.00 a.02 0.04 0.06 0.08 0.10 0.12 0.14 Strain, mim FIGURE P1.16 Stress, MPaarrow_forwardQ.1 The yield stresses (oy) have been measured using steel and aluminum specimens of various grain sizes, as follows: Material D (µm) σΥ (MPa) Steel 60.5 160 136 128 Aluminum 11.1 235 100 223 (a) Determine the coefficients o and kỵ in the Hall- Petch for these two materials. (b) Determine the yield stress in each material for a grain size of d=26 um.arrow_forward
- PROBLEM 4: As shown in the diagram shown, there is a gap of 0.5 mm between the rods at 10°C. Determine the stress in each rod if the temperature is raised to 150°C. The properties of each material are shown in the diagram. 0.5 mm FINAL ANSWERS 300 mm -250 mm MPa O alum O steel MPа Aluminum Stainless steel A = 2000 mm2 E = 75 GPa a = 23 × 10-6°C A = 800 mm? E = 190 GPa 17.3 x 10-6/°Carrow_forwardFigure shows the stress–strain relations of metals A and B during tension tests until fracture. Determine the following for the two metals (show all calculations and units): - Proportional limit- Yield stress at an offset strain of 0.002 in./in.- Ultimate strength- Modulus of resilience- Toughness- Which metal is more ductile? Why?arrow_forwardQuestion No.2 Figure P1.16 shows the stress-strain relations of metals A and B during ten- sion tests until fracture. Determine the following for the two metals (show all calculations and units): a. Proportional limit b. Yield stress at an offset strain of 0.002 m/m. c. Ultimate strength d. Modulus of resilience e. Toughness I. Which metal is more ductile? Why? 900 -Metal A E 600 Metal B 300 0.00 a02 004 a.06 0.08 0.10 0.12 014 Strain, matm FIGURE P1.16 Strees, MPaarrow_forward
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