Question

In: Mechanical Engineering

Calculate the fatigue stress concentration for a steel filleted shaft that is loaded axially. Given Data:...

Calculate the fatigue stress concentration for a steel filleted shaft that is loaded axially.

Given Data:

Sut = 690 MPa

D (for larger cross-section) = 54 mm

d (for smaller cross-section) = 40 mm

r(fillet radius) = 3 mm

Solutions

Expert Solution

Ratio of max dia to min dia, D/d = 54/40 = 1.35

Ratio of radius of fillet to min dia = r/d = 3/40 = 0.075

At D/d = 1.35 and r/d = 0.075; Kt=1.90 where Kt is the theoretical stress concentration factor. Now to consider the fatigue, we have to use the notch sensitivity formula, Kf = 1 + q(Kt-1) where Kf is the fatigue stress concentration factor and q is the notch sensitivity.Here q = 0.85 (3mm radius and 0.7GPa).

Therefore, the value of Kf = 1 + q(Kt-1) = 1 + 0.85(1.90-1). Therefore, Kf =1.765


Related Solutions

1) Determine unmodified fatigue strength (units = MPa) of hot-rolled 1030 steel shaft in axial loading...
1) Determine unmodified fatigue strength (units = MPa) of hot-rolled 1030 steel shaft in axial loading for a design life of 10,000 cycles. Do not apply any fatigue correction factors. SN __________ MPa 2) Determine unmodified fatigue strength (units = ksi) for a normalized 4130 steel shaft in bending for a design life of 10^7 cycles. Do not apply any fatigue correction factors. SN __________ ksi 3) Determine unmodified fatigue strength (units = MPa) for cold-rolled 3003 aluminum rod in...
A study titled “Heat Stress Evaluation and Worker Fatigue in a Steel Plant" (American Industrial Hygiene...
A study titled “Heat Stress Evaluation and Worker Fatigue in a Steel Plant" (American Industrial Hygiene Association, Vol. 64, pp. 352-59) assessed fatigue in steel-plant workers due to the heat stress. A random sample of 29 casting workers had a mean post-work heart rate of 78.3 beats per minute (bpm). Assume that the population standard deviation of post-work heart rates for casting workers is 11.2 (bpm). You want to test that the mean post-work heart rate for casting workers exceeds...
A 100mm shaft is loaded with a torque of 100Nm and a bending moment of 50Nm....
A 100mm shaft is loaded with a torque of 100Nm and a bending moment of 50Nm. As a designer you need to select a material to find a suitable material for size, weight and cost. Using Von-Mises stress and the distortion energy failure theory determine the sizing / weight and cost for each of the three materials below. Complete the table with your answers and show all work. Yield Strength Density (kg/m^3) Cost ($/kg) Required Diameter (mm) Weight (kg) Cost...
define the terms - Shear strain in shaft - Shear stress in shaft - Polar moment...
define the terms - Shear strain in shaft - Shear stress in shaft - Polar moment of inertia - Polar section modulus - Torsion rigidity -torsion
A steel shaft is to be manufactured either as a solid circular bar or as a...
A steel shaft is to be manufactured either as a solid circular bar or as a circular tube. The shaft is required to transmit a torque of 1200 N_m without exceeding an allowable shear stress of 40 MPa nor an allowable rate of twist of0.75°/m. (The shear modulus of elasticity of the steel is 78 GPa.). Determine the required outer diameter do of the solid shaft [58.8 mm] Determine the required diameter d2of the hollow shaft if thethickness t of...
Given that the ASA (concentration of acetylsalicylic acid) is 0.0087 M, calculate the concentration of tetraaquasalicylato...
Given that the ASA (concentration of acetylsalicylic acid) is 0.0087 M, calculate the concentration of tetraaquasalicylato ion [Fe(H2O)4SA]+ in solution 1 Solution 1: volume = 2.00 mL, absorbance = 0.339 If you could show work that would be great! Thank you soo much!!
describe the difference between yield stress and ultimate stress of a steel element
describe the difference between yield stress and ultimate stress of a steel element
The composite shaft shown in the figure consists of two steel pipes that are connected at...
The composite shaft shown in the figure consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 158 mm and a wall thickness of 6 mm. Steel pipe (2) has an outside diameter of 114 mm and a wall thickness of 4 mm. Both pipes are 3.5 m long and have a shear modulus of 80 GPa. If a concentrated torque...
You are in charge of a manufacturing facility that produces an automotive part (steel shaft for...
You are in charge of a manufacturing facility that produces an automotive part (steel shaft for the gearbox) with an acceptable dimension of 2.5±0.05 inches in diameter. Note that, the most desirable product is one with diameter of exactly 2.5 inches. Two vendors are trying to sell you their machines for the shaft-machining task. You have to select a vendor.You asked both vendors to supply data on the machining accuracy of their machines for the given task. Both vendors machined...
A high carbon steel shaft is used in an engine and subjected to different loads. In...
A high carbon steel shaft is used in an engine and subjected to different loads. In order to analyse the stress in the shaft, consider a rectangular element within the material. This element is subjected to compressive stress of 135 MPa and shear stress of 166MPa in the vertical direction. The compressive stress in the horizontal direction is 176MPa with a shear stress of 115MPa. a. Sketch the state of stress on this element. b. Determine the maximum and minimum...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT