A solid round bar with diameter of 2 in has a groove cut to a diameter of 1.8 in, with a radius of 0.1 in. The bar is not rotating. The bar is loaded with a repeated bending load that causes the bending moment at the groove to fluctuate between 0 and 25 000 lbf in. The bar is hot-rolled AISI 1095, but the groove has been machined. Determine the factor of safety for fatigue based on infinite life and the factor of safety for yielding.

1. The steel shaft shown below has a hardness of 150 Bhn and experiences completely reversed torsion, T. The surface is machined, and a reliability of 50% is required. If a 1.5 safety factor is desired, calculate the reversed torque, T, to guarantee that the part will not fail under fatigue. 24 mm 2 mm rad. 0.8 mm rad. 20 mm 24 mm 150 Bhn

Required information A solid square rod is cantilevered at one end. The rod is 0.6 m long and supports a completely reversing transverse load at the other end of ±1.7 kN. The material is AISI 1080 hot-rolled steel. If the rod must support this load for 5 x 104 cycles with a design factor of 1.5, what dimension should the square cross section have? Neglect any stress concentrations at the support end. Determine the endurance limit for this application. Assume that the size modification factor kis 0.85 until a size for the section is known. The endurance limit is 278.4 MPa.

Required information The cold-drawn AISI 1040 steel bar shown in the figure is subjected to an axial load that fluctuates from 8 kN to 30 kN. Use the Modified Goodman criterion and estimate the fatigue factor of safety based on achieving infinite life and the yielding factor of safety. 25 mm 10mm -6-mm D. What is the number of cycles to failure for this part? The number of cycles is 120000

4. A beam has fluctuating bending moment and is not rotating. The bending moment has a maximum of 1kNm and a minimum of 100kNm. The beam is made of AISI1020CD steel with a square cross section. There are no stress concentrations. a. Determine the fully corrected endurance limit as a function of the cross section (cross section unknown) b. Determine the required size for a factor of safety of 2 using the Gerber Fatigue Failure Theory

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A cylindrical steel bar 8 mm in diameter is loaded 1000 cycles per day with a load of 15560 N. How long until fatigue failure takes place? Note: stress force/area 500 450 400 350 Steel Allby 300 250 200 150 Brass Alloy 100 50 1.00E-07 Cycles to Failure, N 1.00E+04 1.00E+05 1.00E-06 1.00E+08 100E+09 1.00E+10 , The bar should not fatigue. ) The bar will fail in one cycle. ) 100 days ) 1000 days Stress Amplitude, MPa

A bar AISI 1035 steel forged and heat treated with minimum yield strength of 570MPa is subjected to bending moment of 290Nm and a torsional moment of 310Nm. Assuming a factor of safety of 2, determine the diameter of rod using the following theories of failure (i) Maximum Shear stress theory and (ii) Distortion Energy theory (iii) Maximum stress theory, also specify which diameter is considered as safe

Q8

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