Determine the Basquin's law equation for the alloy. Use the following fatigue data, (about a zero-mean stress), for the above alloy: Stress Range (MPa) Number of cycles to failure 290 106 155 1011
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- 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?The stress–strain relation shown in Figure was obtained during the tensile test of an aluminum alloy specimen. Determine the Yield stress using an offset of 0.002 strain.The stress–strain relation shown in Figure was obtained during the tensile test of an aluminum alloy specimen. Determine the the maximum working stress to be applied to this material if a factor of safety of 1.5 is used?
- For a specimen of a steel alloy with a plane strain fracture toughness of 80 MPa√m, fracture results at a stress of 510 MPa when the maximum (or critical) internal crack length is 6 mm. For the same alloy, will fracture occur at a stress level of 380 MPa when the maximum internal crack is 9.0 mm? Why or why not? Select the most appropriate answer based on your calculation. Select one: a. It will not fracture b. Not enough information c. It will fractureA tensile test specimen of aluminum alloy having a diameter of 0.5 in. and a gage length of 2 in. was tested to fracture. The complete stress-strain diagram for this specimen is shown below to the left. The small strain portion of this diagram has been enlarged (to the right) to show in more detail the linear portion of the stress-strain diagram. Determine (a) Young's modulus or modulus of elasticity (i.e., the slope of linear portion), (b) yield stress (using the so-called 0.2% offset method from the lecture notes), (c) yield strain (i.e., the strain corresponding to yield stress, not the 0.2%!), (d) ultimate strength (i.e., the peak in stress-strain diagram), (e) rupture stress (i.e., stress at breaking/failure), (f) rupture strain (i.e., the strain corresponding to rupture stress). 80 70 70 60 60 50 50 40 30 30 20 20 10 10 0.005 0.01 0.015 0.02 Strain (in/in) Strain (in/in) Stress (ksi) 0.015 - 0.03 - 0.12 - 0.135 - 0.15 Stress (ksi)A 5-mm-thick rectangular alloy bar is subjected to ajtensile load P by pins at A and B, as shown in the figure. The width of the bar is w = 33 mm. Strain gages bonded to the specimen measure the following strains in the longitudinal (x) and transverse (y) directions: €, =710 με and ε,--255 με (a) Determine Poisson's ratio for this specimen. (b) If the measured strains were produced by an axial load of P = 24 kN, what is the modulus of elasticity for this specimen? Answers: (a) v= (b) E= GPa
- The stress-strain relationship shown in Figure P1.13 was obtained during the tensile test of an aluminum alloy specimen. Determine the following: a. Young's modulus within the linear portion b. Tangent modulus at a stress of 310 MPa c. Yield stress using an offset of 0.002 strain d. If the yield stress in part c is considered failure stress, what is the maximum working stress to be applied to this material if a factor of safety of 1.5 is used? 450 300 150 0.002 0.004 0.006 0.008 Strain, m/m FIGURE P1.13 Stress, MPaS 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, MPaQuestion 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, MPa
- (a) Using Animated Figure, compute the rupture lifetime for an S-590 alloy that is exposed to a tensile stress of 100 MPa at 925°C. (b) Determine the same value from the Larson-Miller plot of Animated Figure, which is for this same S-590 alloy. (a) i hours (b) i hoursThe elastic portion of the tension stress-strain diagram for an aluminum alloy is shown in the figure. The specimen used for the test has a gauge length of 2 in. and a diameter of 0.5 in. If the applied load is 10 kip, determine the new diameter of the specimen. The shear modulus is G al =3.811032 ksiProblem 4: A tensile test is carried out on a bar of a mild steel of diameter 2 cm. the bar yields under a load of 150 kN and breaks finally at a load of 70 kN. Estimate; 1-the tensile stress at the yield point 2-the ultimate tensile stress 3-the average stress at the breaking point, if the diameter of the fractured neck is 1 сm.