2. Consider a 30 mm diameter 2024 T4 aluminum bar with a machined surface. A reliability...
3. (20 pts) Consider a member made of 2024-T4 aluminum (yield strength 325 MPa, ultimate Ơa-839N,0.102 [MPa] strength 470 MPa) if the fully-reversed S-N diagram is represented as At a location of interest the material is repeatedly subjected to the uniaxial stress history shown in the figure below. Estimate the number of repetitions of this loading history necessary to cause fatigue failure using the Palmgren-Miner rule Think carefully how the cycles in the "repetition" should be counted. Tabulate the mean...
A solid round bar, 25 mm in diameter, has a groove 2.5-mm deep with a 2.5-mm radius machined into it. The bar is made of AISI 1020 normalized steel and is subjected to a purely reversing torque of 130 N. m. (a) Estimate the number of cycles to failure. (b) If the bar is also placed in an environment with a temperature of 500 degrees C, estimate the number of cycles to failure. 2.5 mm 20 mm 25 mm
: A 1 in-diameter solid round bar has a groove with a 0.1-in radius machined into it. The bar is made of steel with an ultimate strength of 120 ksi and it is subjected to an axial force that fluctuates between-5.15 kip and 12.85 kip. The static stress concentration factor at the groove is Kt 2.1. (40 points) a) Classify the problem type based on the loading condition. b) Determine the fatigue factor of safety using the Goodman failure criterion....
6. For the bearing with the largest radial load and without
knowing the shaft diameter, what would be the catalog rating for a
radially loaded ball bearing to withstand 1000 x 10e6 cycles with
90% reliability. The bearing manufacturer rates its bearing for a
million cycles.
7. A 10 mm diameter steel shaft is subject to bending stresses
only. The material has Sut = 1100 MPa and Sy = 950 MPa and a
fine-ground surface finish.
1. Determine the factor...
A forged 0.85 inch diameter steel bar is sent to test center in a manufacturing factory for safety test. Before the experiment is performed, you wish to have a model of the strength over use and fatigue strength with an infinite life with 99% reliability. The key material properties of this steel bar are S,-160 ksi and Sy = 95 ksi. Plot on the semi-log graph below the estimated S-N curves for: (a) Axial load (b) Bending load (c) Torsional...
A 2-in. diameter solid round bar has a groove machined on its surface (see Page 1046 in the textbook) The radius of the groove is 0.1 in. The bar is loaded in cyclic bending that causes the bending moment at the groove to fluctuate between 0 and 25,000 lb.in. The bar material is a hot-rolled SAE 1095 steel Using the Goodman criterion, determine the factor of safety for infinite life.
A rectangular bar of aluminum (2014-T4) has a length of 2.400 m and cross-sectional dimensions of 25 mm x 50 mm when the temperature is 20 C. a. At what temperature would the length be 2.405 m if the bar is unrestrained? b. If the temperature is increased an additional 30 C while the bar is restrained from growing lengthwise, compute the resulting stress in the bar. c. Is the stress level safe?
The shaft shown is made of AISI 1040 CD steel. It is machine finished and is subjected to a repeated bending stress of 15ksi. The diameter at the shoulder is 1.3in and will be used at a temperature of 400F. Estimate: (a) The endurance limit at 95% reliability (b) Endurance strength at 105 cycles and show on S-N plot 10 (c) Plot the design region by Modified Goodman theory and determine if failure is by yield or fatigue (d) Find the factor of safety...
The cantilevered round bar shown in the figure is made of 2024-T4 AL with a yield strength of 43kpsi. There is a concern about the stress at location B highlighted in yellow. The diameter of the rod is 3/4 in. and the stress concentration factors at point B are Kt=2 and kts=2.8. Use Distortion Energy to find the factor of safety. F=0 lbf P=3000 lbf T=1000 lb in. A. What is ox? B. What is Tzx? C. What is the...
A flat bar (thickness b = 10 mm) with a shoulder fillet is loaded by a cyclic force F-10-2013 shown below. The bar is made of alloy steel (S. = 900 MPa, S, - 700 MPa) and has dimensions of 35 mm, H = 50 mm, r = 4 mm and I = 80 mm. The actual fatigue strength of the component is estimated as S = 360 MPa for commercially polished surface conditions. The bar should be safe against...