I 1018 cold-drawn steel tubing has a 6 mm diameter hole drilled transversely through it. Estimate the factor of safety guarding against fatigue and static failures using the Gerber and Langer failure criteria for the following loading condition

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

42. The static deflection at the center of the steel shaft in Fig. 3-53 is equal to 0.35 mm. Find the value of the critical speed. Shaft is steel. Ans. n = 1810 rpm. Design of Shafts Chap. 3 248 t. 50 30 1"dia 10" 10" Figure 3-52 Problem 41. 10 kg 10 kg C B 375 600 mm 375 Figure 3-53 Problem 42.

An automobile engine has a valve spring is to be made of Fe, C, & Mn, to be oil-tempered, & to be designed that should not exceed to a cylindrical space of 134-in in diameter. The spring index should be 6.0, the coil-to-coil distance of 0.33in, & the maximum load it will sustain is 100lb with the corresponding compression of ½/2-in. The spring is subjected to repeated loading & fatigue must be considered by a factor of safety of 2.25. Determine: (a) the diameter of wire based on commercial sizes; (b) the total number of coils; (c) the free length of the spring. Sample image of valve spring in an assembly.

Q5: A steel cantilever shaft.The fillet is 6 mm, Sut= 560 MPa and Sy= 420 MPa. Assume the shaft surface is cold-rolled, operating temperature is 550c, reliability is 50%. Calculate the design safety factor Nfusing Good-Man theory of failure. R6 400N |$25 600N 500N 250N 200mm For the stepped rod shown which is acted upon by both a fluctuating axial force (F1) of between - 900 N and 3,600 N and a constant axial force (F2) of 2,250 N, determine (a) The factor-of-safety (Nf) using the Goodman theory. The stepped rod is made of high-strength steel, ground to the dimensions shown. The stepped rod operates at room temperature. Known that the ultimate stress 735 MPa, yield stress 500 MPa and k=1.15. d = 0.48 cm d = 0.32 cm F, F2

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

A right angle bracket arm experiences a downward normal force F(t) which cycles continuously between a minimum of 100 Lbs to a maximum of 400 Lbs. The machined part is made from 4140 steel, quenched & tempered at 800°F (Table A-21). Determine the factor of safety of the 5/8- inch diameter shaft at point A based on a life >10 million cycles using the DE - ASME-Elliptic Fatigue Failure Theory. Consider 90 % reliability and room temperatures. Assume stress concentrations, Kf = Kt = 1.7 and Kfs = Kts = 1.4 at point A. List governing equations and show all work.

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