1) Determine unmodified fatigue strength (units = MPa) of hot-rolled 1020 steel shaft in axial loading...
1) Determine unmodified fatigue strength (units = MPa) of hot-rolled 1020 steel shaft in axial loading for a design life of 100,000 cycles. Do not apply any fatigue correction factors.
SN _______________
2) Determine unmodified fatigue strength (units = ksi) for a normalized 4140 steel shaft in bending for a design life of 107 cycles. Do not apply any fatigue correction factors.
SN _______________
3) Determine unmodified fatigue strength (units = MPa) for heat-treated 6061 aluminum rod in torsion for a design life of 107 cycles. Do not apply any fatigue correction factors.
SN _______________
4) Determine fatigue correction factors for the 0.4 inch DIA shaft from H04 using ground normailzed 4140 steel. The shaft is in bending and torsion from loading by the UGV track, was ground, operates in normal environmental temperatures and should have 95% reliability.
Cload _________ Csize _________ Csurf _________ Ctemp _________ Creliab _________
5) Determine modified fatigue strength (units = ksi) of for the 4140 steel shaft from H04 and problem 4) above for a design life of 107 cycles.
SN _______________
Homework Answers
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1) Determine unmodified fatigue strength (units = MPa) of
hot-rolled 1020 steel shaft in axial loading...
A 1020 steel shaft 3. A 1020 steel shaft has a corrected real endurance limit of...
A 1020 steel shaft
3. A 1020 steel shaft has a corrected real endurance limit of Se 40 ksi and a tensile strength of Sut 64 ksi. The shaft is loaded in bending and torsion such that Ma 500 lbf.in, and Tm 300 lbf.in, Mm Ta 0. The stress concentration factors were determined to be Kr 2.25, and Kf 1.75. Provided the design engineer choose a diameter of d 1.0 in, determine the factor of safety n of the shaft...
A notched circular shaft shown is subjected to fully reversed bending. D=12.7mm, d=10.16 mm, and r=0.5mm. The steel material has the following mechanical and fatigue properties: yield strength (σ0)=10...
A notched circular shaft shown is subjected to fully reversed
bending. D=12.7mm, d=10.16 mm, and r=0.5mm. The steel material has
the following mechanical and fatigue properties: yield strength
(σ0)=1000 MPa, ultimate strength (σu)=1200 MPa, the fatigue
strength coefficient (σf’)=1600 MPa, the fatigue strength exponent
(b)=-0.1, and the fatigue limit (σe)=400 MPa.
5. (20 pts) A notched circular shaft shown is subjected to fully reversed bending. D-12.7mm, d-10.16 mm, and r-0.5mm. The steel material has the following mechanical and fatigue properties:...
A stepped shaft with a ground finish is made of steel with an ultimate tensile strength of 1200 MPa. The shaft is l...
A stepped shaft with a ground finish is made of steel with an ultimate tensile strength of 1200 MPa. The shaft is loaded with a fully reversed torque of 20 Nm. Dimensions of the shaft are given below. (5) a) Given the stress concentration for fatigue loading, Kfs 1.3, find the location and magnitude of the maximum stress in the shaft. (14) b) Find the endurance limit, assuming room temperature and a reliability of 99%. (1) c)Will the part have...
6. For the bearing with the largest radial load and without knowing the shaft diameter, what...
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...
5. (20 pts) A notched circular shaft shown is subjected to fully reversed bending. D-12.7mm, d-10.16 mm, and r-0.5mm. The steel material has the following mechanical and fatigue properties: yield str...
5. (20 pts) A notched circular shaft shown is subjected to fully reversed bending. D-12.7mm, d-10.16 mm, and r-0.5mm. The steel material has the following mechanical and fatigue properties: yield strength (0o)-1000 MPa, ultimate strength (o ) 1200 MPa, the fatigue strength coefficient (σ) 1600 MPa, the fatigue strength exponent (b) 0.1, and the fatigue limit (oe)-400 MPa. a) (10 pts) Determine the fatigue (S-N) curve for the given notched circular shaft under fully reversed bending (computer generated graph is...
Estimating fatigue strength (Sr) of a rotating- beam specimen made of AISI 1020 hot-rolled steel corresponding...
Estimating fatigue strength (Sr) of a rotating- beam specimen made of AISI 1020 hot-rolled steel corresponding to a life of 12.5(103) cycles of stress reversals. Estimate the life of the specimen corresponding to a stress amplitude (?rev-Ta) of 36 kpsi using the 1st and 2nd approach, and compare the results
A 1045 hot rolled steel rod undergoes axial cyclic loading from a minimum stress of 2...
A 1045 hot rolled steel rod undergoes axial cyclic loading from a minimum stress of 2 kpsi to a maximum of 10 kpsi. The rod has a hole in the center of bar, with a Kt 1.7, and notch sensitivity factor 0.9. The yield strength of bar is 45 kpsi, ultimate strength 82 kpsi, fully endurance limit of 20 kpsi, fatigue strength fraction 0.85. 1. a. Using modified goodman criteria, find FOS b. lfinfinite life is not predicted estimate the...
Problem 1 (a) (200 points) Shaft fatigue strength In the figure below, a rotating shaft (for...
Problem 1 (a) (200 points) Shaft fatigue strength In the figure below, a rotating shaft (for speed reducing gearbox) is subjected to radial forces at A-400 lbrand at C-800 iht. These radial forces are caused by spur gears mounted to shar (a result of the pressure angle of the teeth, 20 degrees) that mesh with 2 other spur gears, not shown. Also, The shaft transmits a constant torque of 11110 in-Ibr (925 - due to the tangential force (s: transmitted...
The rotating shaft shown in the figure is machined and ground from a steel with a yield strength of 373 MPaand an ultimate strength of 430 MPa. It is subjected to a force of F 6.4 kN and operat...
The rotating shaft shown in the figure is machined and ground from a steel with a yield strength of 373 MPaand an ultimate strength of 430 MPa. It is subjected to a force of F 6.4 kN and operates at about 300 C. Find the minimum factor of safety for fatigue based on infinite life if a reliability of99% is desired. All dimensions in the figure are in mm. 25 D r50 D 25 D -35 D I R 20...
1. Given a rotating-beam test specimen made of AISI 1095 Hot-Rolled steel, estimate the fatigue strength...
1. Given a rotating-beam test specimen made of AISI 1095 Hot-Rolled steel, estimate the fatigue strength corresponding to a life of 20,000 cycles of completely reversed stress.
A 1020 steel shaft
3. A 1020 steel shaft has a corrected real endurance limit of Se 40 ksi and a tensile strength of Sut 64 ksi. The shaft is loaded in bending and torsion such that Ma 500 lbf.in, and Tm 300 lbf.in, Mm Ta 0. The stress concentration factors were determined to be Kr 2.25, and Kf 1.75. Provided the design engineer choose a diameter of d 1.0 in, determine the factor of safety n of the shaft...
A notched circular shaft shown is subjected to fully reversed
bending. D=12.7mm, d=10.16 mm, and r=0.5mm. The steel material has
the following mechanical and fatigue properties: yield strength
(σ0)=1000 MPa, ultimate strength (σu)=1200 MPa, the fatigue
strength coefficient (σf’)=1600 MPa, the fatigue strength exponent
(b)=-0.1, and the fatigue limit (σe)=400 MPa.
5. (20 pts) A notched circular shaft shown is subjected to fully reversed bending. D-12.7mm, d-10.16 mm, and r-0.5mm. The steel material has the following mechanical and fatigue properties:...
A stepped shaft with a ground finish is made of steel with an ultimate tensile strength of 1200 MPa. The shaft is loaded with a fully reversed torque of 20 Nm. Dimensions of the shaft are given below. (5) a) Given the stress concentration for fatigue loading, Kfs 1.3, find the location and magnitude of the maximum stress in the shaft. (14) b) Find the endurance limit, assuming room temperature and a reliability of 99%. (1) c)Will the part have...
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...
5. (20 pts) A notched circular shaft shown is subjected to fully reversed bending. D-12.7mm, d-10.16 mm, and r-0.5mm. The steel material has the following mechanical and fatigue properties: yield strength (0o)-1000 MPa, ultimate strength (o ) 1200 MPa, the fatigue strength coefficient (σ) 1600 MPa, the fatigue strength exponent (b) 0.1, and the fatigue limit (oe)-400 MPa. a) (10 pts) Determine the fatigue (S-N) curve for the given notched circular shaft under fully reversed bending (computer generated graph is...
Estimating fatigue strength (Sr) of a rotating- beam specimen made of AISI 1020 hot-rolled steel corresponding to a life of 12.5(103) cycles of stress reversals. Estimate the life of the specimen corresponding to a stress amplitude (?rev-Ta) of 36 kpsi using the 1st and 2nd approach, and compare the results
A 1045 hot rolled steel rod undergoes axial cyclic loading from a minimum stress of 2 kpsi to a maximum of 10 kpsi. The rod has a hole in the center of bar, with a Kt 1.7, and notch sensitivity factor 0.9. The yield strength of bar is 45 kpsi, ultimate strength 82 kpsi, fully endurance limit of 20 kpsi, fatigue strength fraction 0.85. 1. a. Using modified goodman criteria, find FOS b. lfinfinite life is not predicted estimate the...
Problem 1 (a) (200 points) Shaft fatigue strength In the figure below, a rotating shaft (for speed reducing gearbox) is subjected to radial forces at A-400 lbrand at C-800 iht. These radial forces are caused by spur gears mounted to shar (a result of the pressure angle of the teeth, 20 degrees) that mesh with 2 other spur gears, not shown. Also, The shaft transmits a constant torque of 11110 in-Ibr (925 - due to the tangential force (s: transmitted...
The rotating shaft shown in the figure is machined and ground from a steel with a yield strength of 373 MPaand an ultimate strength of 430 MPa. It is subjected to a force of F 6.4 kN and operates at about 300 C. Find the minimum factor of safety for fatigue based on infinite life if a reliability of99% is desired. All dimensions in the figure are in mm. 25 D r50 D 25 D -35 D I R 20...
1. Given a rotating-beam test specimen made of AISI 1095 Hot-Rolled steel, estimate the fatigue strength corresponding to a life of 20,000 cycles of completely reversed stress.
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