12. A cylindrical steel bar (1045 steel) is subjected to repeated tension-compression stress cycling along its axis. If the load amplitude is 20 kN, calculate the minimum allowable bar radius to avoid fatigue failure. Use a safety factor of 2.5 and use the below figure for the fatigue limit stress. Round answer to two significant figures. Stress amplitude, S (MPa) 500 400 300 200 100 10³ 104 105 1045 steel 2014-T6 aluminum alloy Red brass 10 107 10" Cycles to failure, N 10 T 70 60 50 40 30 20 10 0 1010 Stress amplitude (10 psi)

12. A cylindrical steel bar (1045 steel) is subjected to repeated tension-compression stress cycling along its axis. If the load amplitude is 20 kN, calculate the minimum allowable bar radius to avoid fatigue failure. Use a safety factor of 2.5 and use the below figure for the fatigue limit stress. Round answer to two significant figures. Stress amplitude, S (MPa) 500 400 300 200 100 10³ 104 105 1045 steel 2014-T6 aluminum alloy Red brass 10 107 10" Cycles to failure, N 10 T 70 60 50 40 30 20 10 0 1010 Stress amplitude (10 psi)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The beam is subjected to the load at its end. Take P= 3.9 kN and V = 2.3 kN. (Figure 1) Part A…

A: Given data: P =3.9 kN V= 2.3 kN Need to determine the maximum principal stress at point B.

Q: The state of plane stress at a critical point on the surface of a member is determined by strain…

Q: Suppose a ball bearing under a given load F1 has a life of L1 = 334 kcycles. Further suppose that…

Q: Q1. A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350…

A: A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of Syt= 350…

Q: A material presents S-N fatigue behaviour shown on the right with the fatigue limit being 100 MPa.…

A: Given data: Se= 100 MPa. Diameter of the bar d= 20 mm. To ensure no occurance of the fatigue…

Q: The 37-mm-diameter A992 steel rod is subjected to the loading shown. Take E- 200 GPa. (Figure 1)…

A: Given that , D = 37 mm E = 200 GPa δC=?

Q: Aluminium alloy AA7475 is applied as a high strength aluminium sheet for aerospace. In preparation…

A: Given data Fracture toughness= 42 MPa√m The applied stress =447 MPa Geometry factor Y=1 Width (W)=…

Q: A bar of steel has the minimum properties Se = 40 kpsi, Sy = 60 kpsi, and Sut = 80 kpsi. The bar is…

Q: A circular rod of hot-rolled 4340 steel (4340-HR steel - 4mm diameter, 1.35m long) is subjected to a…

A: Given Data:- 4340 Steel Diameter=4mm Length=1.35m Modulus of Elasticity=207Gpa Yield-Strength…

Q: Explain the phases shown in the attached image of a stress strain cureve for 0.15% carbon steel

Q: 1. A cold-drawn AISI 1015 steel tube is 300 mm OD by 200 mm ID and is to be subjected to an external…

A: Given data - Outer diameter - 300 mm Internal diameter - 200 mm Yield strength = 600 Mpa It is asked…

Q: 8. 10 plate 8X10 - S00 pounds of loud material 6061 Aluminum - Determine what type of stress Is…

A: Hf

Q: The following torsion test data were obtained for AA6061-T6 aluminum alloy has a round cross section…

Q: A material presents S-N fatigue behaviour shown on the right with the fatigue limit being 100 MPa.…

A: Given data:- Fatigue limit = 100 Mpa Diameter of bar = 20 mm Find the maximum tensile load by…

Q: Q4/a- Astructural component of an engineering design loaded in plane strain cnodition must support…

A: Solution:To solve the problem of calculating the length of the largest internal flaw that the…

Q: Q3/ A 6.4mm diameter cylindrical rod fabricated from a 2014 T6 aluminum alloy is subjected to…

A: Diameter = 6.4 mm Maximum force = 5340 N Minimum force = -5340 N

Q: A strain gauge mounted at a potentially critical point in a steel part has recorded the stress…

A: To Find : the fatigue life in problem be reduced if a mean stress of 10 ksi is added to the stress.…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

12. A cylindrical steel bar (1045 steel) is subjected to repeated tension-compression stress
cycling along its axis. If the load amplitude is 20 kN, calculate the minimum allowable
bar radius to avoid fatigue failure. Use a safety factor of 2.5 and use the below figure for
the fatigue limit stress. Round answer to two significant figures.
Stress amplitude, S (MPa)
500
400
300
200
100
10³
104
105
1045 steel
2014-T6 aluminum alloy
Red brass
10 107 10"
Cycles to failure, N
10
T
70
60
50
40
30
20
10
0
1010
Stress amplitude (10 psi)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

8. Refer to the figure below. Even though the cyclic loading accidentally caused the stresses to exceed the levels at point A slightly (as marked by the red arrow), the machine part may not break instantly according to the Modified Goodman fatigue failure criterion. True_ or False Alternating stress a Yield (Langer) line Soderberg line I A m Gerber line Midrange stress om Load line, slope r = Modified Goodman line Sy ASME-elliptic line Sut SalSm
8. A cylindrical bar of steel with a diameter of 10 mm is deformed elastically by applying a force along the bar axis. Determine the force that produces an elastic reduction in diameter of 3 X 10-³ mm. You may use material properties given in Table 6.1 below. Table 6.1 Room-Temperature Elastic and Shear Moduli and Poisson's Ratio for Various Metal Alloys Metal Alloy Aluminum Brass Copper Magnesium Nickel Steel Titanium Tungsten GPa 69 97 110 45 207 207 107 407 Modulus of Elasticity 10 psi 10 14 16 6.5 30 30 15.5 59 Shear Modulus GPa 25 37 46 17 76 83 45 160 10° psi 3.6 5.4 6.7 2.5 11.0 12.0 6.5 23.2 Poisson's Ratio 0.33 0.34 0.34 0.29 0.31 0.30 0.34 0.28
Q1/ The table below shows the values of stress amplitude and life cycles : Fatigue strength Sf (Mpa) Number of cycles (Nf) 474 111 417 496 352 3002 316 7065 290 21930 262 66075 The test were done, to estimate the failure, on un-notched axially load specimens under zero mean stress. Calculate a and b using the stress -life equation.
A tensile test specimen of stainless steel alloy having a diameter of 0.495 in. and a gage length of 2.00 in. was tested to fracture. Stress and strain data obtained during the test are shown. Determine the proportional limit. Stress (ksi) 40 30- 20 10- 0- 0.0 0.0 Upper scale 0.020 0.002 22 ksi O 15 ksi E 19 ksi O 10 ksi 13 ksi Lower scale- 0.040 0.060 0.080 0.100 0.004 0.006 0.008 0.010 Strain (in./in.) 0.120 0.012
diagram and determine approximately the modulus of elasticity, the yield stress, the ultimate stress, and the fracture 2.00 in. The data is listed in the table. Plot the stress-strain 8-1. A tension test was performed on a steel specimen n original diameter of 0.503 in. and gage length of PROBLEMS *84. origi the f having an for t and stress. Use a scale of 1 in. Dodraw the elastic region, using the same stress scale but a 20 ksi and 1 in. = 0.05 in./in. strain scale of 1 in.= 0.001 in./in. Load (kip) Elongation (in.) 0. 0. 0.0005 0.0015 1.50 4.60 8.00 11.00 0.0025 0.0035 0.0050 11.80 11.80 0.0080 0.0200 12.00 16.60 0.0400 0.1000 0.2800 20.00 21.50 19.50 18.50 0.4000 0.4600 Prob. 8-1
Q: Consider an 18-8 Mo stainless steel component (Figure below) that is exposed to an allowable stress level (110 MPa) for a rupture lifetime of 1 year. Write your decision for this metal will be accepted or no at operation temperature of (1000°C). 10 T120 + log t,(*R-h) 25 30 35 40 45 50 100 100 10 10 12 16 20 24 28 10 7120 + log t,XK-h) Sress (MPa)
Use the von Mises failure criterion to solve for the minimum required yield stress if a factor of safety of 2 is needed and the applied state of plane stress is as given below. Give your answer as an integer in units of MPa (e.g. 200 or 200MPA) +100MP. |3D oy = -78MP. Try +30MP.
suppose the free length is 65 mm. Find the stress at solidity in units of MPa Circle final answer
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 12.5 mm diameter cylindrical rod fabricated from a Red brass alloy is subjected to a repeated tension-compression load cycling along its axis. Compute the minimum load that will be applied to yield a fatigue life of 2,000,000 cycles. Assume that the stress plotted on the vertical axis is stress amplitude, and data were taken for a mean stress of 50 MPa. 80 500 70 400 60 1045 steel 50 300 40 2014-T6 aluminum alloy 200 30 20 100 Red brass 10 103 104 105 106 107 108 109 1010 Stress amplitude, S (MPa) Stress amplitude (10° psi)
The fatigue (endurance) limit of a 1045 (plain carbon) stcel is about 300 MN/m² when the mean stress is zero. The tensile strength of this steel is 750 MPa. Using the Goodman equation, estiniate the safe stress amplitude for 1045 steel for the situation of a mean stress of 250 MPa.
A tensile-testing apparatus is to be constructed that must withstand a maximum load of 293516 N. The design calls for two cylindrical support posts, each of which is to support half of the maximum load. Furthermore, plain-carbon(1045) steel ground and polished shafting rounds are to be used; the minimum yield and tensile strengths of this alloy are 343 MPa and 565 MPa(82,000 psi), respectively. Specify a suitable diameter in mm for these support posts. Assume safety level is 2.3. Round your answer to 2 significant figures.