The cold-drawn AISI 1040 steel bar shown in the figure is subjected to a completely reversed axial load fluctuating between 15 kN in compression to 15 kN in tension. Estimate the fatigue factor of safety based on achieving infinite life, and the yielding factor of safety. If infinite life is not predicted, estimate the number of cycles to failure. 6 mm D. 25 mm 10 mm
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- An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.
- A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?The cold-drawn AISI 1040 Q&T at 205 ◦C steel bar shown in the figure is subjected to a completely reversed axial load fluctuating between 28 kN in compression to 28 kN in tension. Estimate the fatigue factor of safety based on achieving infinite life, and the yielding factor of safety for the following cases. If infinite life is not predicted, estimate the number of cycles to failure.a) for the part given in Fig 2(a) and b) for the part given in Fig. 2 (b) using the same dimensions (W=25mm, r=3mm, the thickness of 10 mm)The cold-drawn AISI 1040 steel bar shown in the figure is subjected to an axial load fluctuating between 0kN and 28kN. Estimate the fatigue factor of safety based on achieving infinite life using modified Goodman criterion and the yielding factor of safety. If infinite life is not predicted, estimate the number of cycles to failure.
- A round cross section cold drawn steel bar made of AISI 1020 has adiameter of 35 mm. Based on a conservative failure analysis, calculate factorof safety in the following conditions:a) The bar is subjected to static bending moment of 450 N.m, and steadytorque of 180 N.mb) The bar is subjected to bending moment fluctuating between(900 N.m and 400 N.m), and steady tension of 2.4 kNA bracket is under a loading condition shown below. It's made from a steel with yield strength (Sy) of 42 ksi and ultimate tensile strength (Sut) of 76 ksi. The diameter is 0.42 in and b = 1.75 in, with the load P fluctuate between 15 lbs (tension) and -5 lbs (compression). Using the modified Goodman or Gerber criterion, determine the fatigue factor of safety based on infinite life. If infinite life is not predicted, estimate the number of cycles to failure. Also check for yielding.A 1-in-diameter solid round bar has a groove 0.1-in deep with a 0.1-in radius machined into it. The bar is made of AISI 1020 CD steel and is subjected to a purely reversing torque of 1800 lb-in. For the S-N diagram of this material, let f=0.9. Estimate the number of cycles to failure. If the bar is also placed in an environment with a temperature of 750 F, estimate the number of cycles to failure
- The stepped and surface-ground steel bar in the figure is subjected to a bending moment varying between Mz=100 Nm and Mz=250 Nm and a torsional moment varying between Tx=80 Nm and Tx=320 Nm in opposite directions. The tensile strength of the rod material is Sut=800 MPa and it works under room conditions. For 50 percent reliability, check the fatigue safety of the rod.A Component shown in figure below machined from a plate of steel C45 having ultimate strength as 630 MPa, yield stress as 540 MPa and endurance strength 225 MPa. It is subjected to a completely revered axial load from -50 kN to +50 kN and the factor of safety is 2. Determine the plate thickness having width as 100 mm by using soderberg fatigue equation.A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R1 and R2. The shaft is loaded with a transverse load of 13 kN as shown in the figure. The shaft is made from AISI 1045 hot-rolled steel. The surface has been machined. Determine a) The minimum static factor of safety based on yielding b) the endurance limit adjusted as necessary with Marin factors c) the minimum fatigue factor of safety based on achieving infinite life d) if the fatigue factor of safety is less than 1, then estimate the life of the part in number of rotations