A ductile AISI 1020 cold-drawn steel with Sy=Syc=220 Mpa using the distortion-energy and maximum shear stress theories determine the factor of safety for the following principle stresses: . бA 3100 Мра, он %310 Мра . GA 3100 Мра, Оg %3-80 Мра

A ductile AISI 1020 cold-drawn steel with Sy=Syc=220 Mpa using the distortion-energy and maximum shear stress theories determine the factor of safety for the following principle stresses: . бA 3100 Мра, он %310 Мра . GA 3100 Мра, Оg %3-80 Мра

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...

See similar textbooks

Related questions

Q: A certain steel shafting material has an ultimate strength of 93 ksi, a notch radius of 0.25 inch,…

A: Given that, Sut=93 ksi,Notch radius=0.25 in,kf=2.5,cycles=166,077 According to the standard graph,…

Q: 5. A non-rotating shaft made of AISI 1018 CD steel is machined to the shape shown below. A load Fy =…

Q: Q2) Based on data below, draw the S-N curve for fatigue test if the specimen have neck diameter 5mm,…

A: Write the formula for the maximum stress at the neck. S=32PLπd3 Here, S is the maximum stress, P is…

Q: 1) Determine the minimum factor of maximum-shear-stress (MSS) theory and the distortion-energy (DE)…

Q: 1. A steel of rotating-beam test specimen has an ultimate strength of 1600Mpa. Estimate the life of…

A: Given, Sut = 1600 MPa σrev= 900 MPa From Graph Sut = 1600 MPa = 232 psi => f = 0.77 Sut >…

Q: A shaft made of steel has the following minimum properties Se = 278 MPa, Sy = 412 MPa, and Sut = 551…

Q: A rotating solid circular shaft is subjected to a constant bending moment of 90 N-m and a steady…

Q: In a torsion text, the specimen is a hollow shaft with 40 mm external and 20 mm internal diameter.…

A: Data given- D = 40 mm = 0.04 m d = 20 mm = 0.02 m T = 2 kNm Angular twist = 0.5° = 0.5×π/180…

Q: If the ultimate strength of a steel rotating-beam test specimen was around 1600 MPa. Estimate the…

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

A: Given data: Yield strength of the material, σy=350 MPa=50.76 kpsi Principal stresses can be…

Q: A cube of a material with a yield strength of 100x10° N/m*is subjectedtotheloads shown onthe right.…

Q: The state of stress at a point in member is given by: 50 60 100 60 40 80 MPa 100 80 20 A torsion…

A: Write the given data. σxx=50τxy=60τxz=100τyx=60σyy=40τyz=80τzx=100τzy=80σzz=20 According to…

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

Q: Bar of steel, (yield strenght Sy = 462 MPa) is subjected to the following stresses; σx = 171 MPa ,…

A: Since factor of safety greater than 1 hence bar will not fail. We can find the factor of safety (FS)…

Q: Bar of steel, (yield strenght Sy = 445 MPa) is subjected to the following stresses; σx = 228 MPa ,…

Q: A bar of steel has the minimum properties Se = 276 MPa, Sy = 413 MPa, and Sut = 551 MPa. The bar is…

Q: In a torsion text, the specimen is a hollow shaft with 40 mm external and 20 mm internal diameter.…

Q: A solid shaft made of a ductile brass alloy is subjected to an array of loads, resulting in the…

A: Maximum shear stress theory Maximum shear stress theory is also known as Guest's theory. According…

Q: TENSILE TEST DATA DO (mm) LO (mm) 6.05 Mild steel 76 Radian Torque 0??? Degree Shear stess Shear…

Q: Q2/ 7 A steel bolt 0.005 m² in cross-section is subjected to a Static mean load of 200 KN. What…

A: To find : The value of completely reversed direct fatigue load . Given data : The Area is A=0.005…

Q: 260 MPa, the transmission torque of this shaft is 160 N·m, and it is subjected to a uniform axial…

Q: Suppose an ideally-prepared test specimen in an R.R. Moore rotating beam test has an ultimate…

Q: A steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for…

A: Answer: (a) The stress ratio, the stress amplitude and the mean stress: R = -1 σa = 213 MPa σm = 0…

Q: 2. Consider a bar of AISI 1015 cold-drawn steel. Using the distortion-energy and…

A: Principal stresses, σA=30 kpsiσB=15 kpsiYield strength for AISI 1015 cold drawn steel ,Syt=47100 psi…

Q: The stresses on the surface of a ductile alloy component 50 MPa are as pictured. The yield strength…

Q: Sut=800MPa by machining method in the figure, Shaft variable M made of a steel with Sy=640MPa…

Q: A material is subjected to plane stress. Express the distortion energy theory of failure in terms of…

A: According to distortion energy theory for plane stress : σ12-σ1σ2+σ22=σY2 here, σ1,σ2 are principal…

Q: Required Information For a bar of AISI 1015 cold-drawn steel, determine the factor of safety using…

A: Given dataσA=28kpsiσB=15.5 kpsi``

Q: A circular cross section shaft has a diameter of d = 45 mm, is subjected to a combined state of…

Q: escribe the stress analysis process and the concept of the following failure theories for mechanical…

A: 1.Maximum normal stress theory(MNST) This stress theory can be employed in safety calculations if a…

Q: A spherical pressure vessel is formed of 16-gauge (0.0625-in) cold-drawn AISI 1050 sheet steel. If…

A: Given : The radius of spherical shell = 7.5 in The thickness of spherical shell = 0.0625 in Solution…

Q: Sut=800MPA by machining method in the figure, Shaft variable M made of a steel with Sy=640MPA…

A: the solution is given below:

Q: • Calculate the factor of safety of the material under maximum shear stress and maximum distortion…

Q: Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for…

A: dear student please rate me positive :) distortion energy method . A)

Q: A solid cylindrical shaft made of AISI 1020 steel (quenched and tempered at 870oC) rotates at a…

Q: Consider that the solid's yielding shear strength S., is 2.5 Mpa and its yielding tensile strength…

A: For solution refer below images.

Q: Bar of steel, (yield strenght Sy = 469 MPa) is subjected to the following stresses; σx = 218 MPa ,…

A: Given data:

Q: ar of steel, (yield strenght Sy = 422 MPa) is subjected to the following stresses; ox = 182 MPa , oy…

Q: A steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for…

A: Answer: (a) The stress ratio, the stress amplitude and mean stress: R = -1 σa = 213 MPa σm = 0 MPa…

Q: IN and a tonque T-50 N.m. The material is steel with Sy- 480 MPa. Using the distortion energy (Von…

A: for solution refer below images.

Q: 60 kpsi and ơmin A steel bar undergoes cyclic loading such that ơmax the material, Sut = 80 kpsi, Sy…

Q: Problem 2: Determine the Factor of Safety for the following condition: (a) Using distortion-energy…

A: 1 2

Q: A 1-in-diameter (D = 1 inch) rotating machined shaft has a groove 0.1-in deep with a 0.1-in radius…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: A bar made of a cold drawn AISI 1030 steel with ox = 50 MPa (compression), oy = 75 MPa…

Q: Identity all applicable failure theories. O a. Octahedral shear stress theory O b. Modified-Mohr…

A: It's ductile material so failure occurs are as follows. e) Ductile coulomb Mohr theory c)…

Q: A bracket is under a loading condition is shown below. It's made from a steel with the yield…

A: Due to the load, there will be a compressive load and moment of force at the neutral axis. The…

Question

A ductile AISI 1020 cold-drawn steel with Sy==Syc=220 Mpa using the
distortion-energy and maximum shear stress theories determine the factor of
safety for the following principle stresses:
. GA 3100 Мра, вн 310 Мра
. GA 3100 Мра, бв %3-80 Мра

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

A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).
A circular tube AB is fixed at one end and free at the other. The tube is subjected to concentrated torques as shown in the figure. If the outer radius of the tube is 1.5 in, and the thickness is 3/4 in., calculate the strain energy stored in the tube. Let G= 11,800 ksi.
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
A solid cylindrical shaft made of AISI 1020 steel(quenched and tempered at 870oC) rotates at a speedthat produces a safety factor of 2.5 against the stresscausing yielding. To instrument the shaft, a small hole isdrilled in its center for electric wires. At the same timethe material is changed to AISI 1080 steel that has beenquenched and tempered at 800oC. Find the safety factoragainst yielding of the new shaft.
A mild steel shaft of 48 mm diameter is subjected to a bending moment of 1850 Nm and a torque T. If the yield point of the steel in tension is 215 MPa, find the maximum value of this torque without causing yielding of the shaft according to:1. The maximum principal stress theory;2. The maximum shear stress theory; and3. The maximum distortion strain energy theory of yielding
A horizontal shaft of 75 mm diameter projects from a bearing, and in addition to the torque transmitted the shaft carries a vertical load of 8 kN at 300 mm from the bearing. If the safe stress for the material, as determined in a simple tension test, is 135 MN/m2, find the safe torque to which the shaft may be subjected using as the criterion (a) the maximum shearing stress, (b) the maximum strain energy per unit volume. Poisson’s ratio v = 0.29.[Ans: 5.05, 8.3 kN.m]
Bar of steel, (yield strenght Sy = 469 MPa) is subjected to the following stresses; σx = 218 MPa , σy = -158 MPa , τxy = 138 MPa Using the Distortion-Energy Theory determine the factor of safety and check is the bar will fail or not.
1. A part made of Aluminum 6061-T6 has a yield strength = 400 MPa. For each stress state below, draw all 3 Mohr's circles, find the principal stresses, and calculate the safety factor against yield using both the distortion-energy (von Mises) and maximum shear stress (Tresca) criterions. (If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a coordinate system and relevant labels. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications?
Produced from xCy steel material by machining method, the shaft is bedded at C and D points. With the shaft, constant Fy= 820 N forces in the vertical direction and constant Fx= 4,2 kN forces in the axial direction, which do not rotate together. The tensile strength of the shaft material is (sigma)tensile = (sigma)ut = 620 MPa and the yield strength is (sigma)yield = 420 MPa. For 50% reliability, analyze the fatigue damage condition of the shaft sections A and B separately.
An aluminum alloy is to be used for a solid drive shaft such that it transmits 30 hp at 1200 rev>min. Using a factor of safety of 2.5 with respect to yielding, determine the smallest-diameter shaft that can be selected based on the maximum shear stress theory. sY = 10 ksi.
A shaft is subjected to an axial pull of ___ and transverse shear force of ___ The yield strength of theshaft materials is ___ and poison’s ratio 0.3. Determine the diameter of shaft using (i) Maximum Shearstress theory and (ii) Distortion Energy theory (iii) Maximum stress theory (iv) maximum strain energytheory (v) Maximum total strain energy theory. Also compare the obtained results Givin: Axial pull = 10kN Shear force = 8kN Yield strength= 100MPa Poison’s ratio = 0.3 FOS = 1.0
An ASTM cast iron has minimum ultimate strengths of 32 kpsi in tension and 95 kpsi in compression. Find the factors of safety using Coulomb Fragile Mohr (CMF) and Modified Mohr (MM) theories for the following stress state. σx = −3 kpsi, σy = −9 kpsi, τx y = −4 kpsi