b) A hollow tube of cross-section as shown in Figure 2.2 is subjected to an axial tensile force of 100kN. If the tensile yield stress of the material is 280MN/m², use the von Mises yield criterion to determine if a torque of 6kNm can be applied without causing the tube to yield.

b) A hollow tube of cross-section as shown in Figure 2.2 is subjected to an axial tensile force of 100kN. If the tensile yield stress of the material is 280MN/m², use the von Mises yield criterion to determine if a torque of 6kNm can be applied without causing the tube to yield.

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 3.5.12P: A solid aluminum bar (G = 27 GPa ) of diameter d = 40 mm is subjected to torques T = 300 N - m...

See similar textbooks

Related questions

Q: At operating stress of 420MPa, the number of cycles to fail a specimen is 65 cycles. At operating…

A: Given Data: σ1=420 MPaN1=65σ2=360 MPaN2=390σ3=130 MPaN3=11900 To Find; (a) Number of cycles. (b)…

Q: Determine the velocity of the block which is being hoisted by the hub on gear B when t = 2 s.…

Q: (a) discuss the difference in AStotal between the reversible isothermal expansion and irreversible…

A: To explain: (a) Discuss the difference in∆Stotal between the reversible isothermal expansion and…

Q: minute of fuel B/ A simple jet carburetor is required to supply 5 kg of air per minute and 0.45 kg…

Q: Problem 2. (a) Draw the moment diagram for the beam. (b) Observing the direction of load and sign of…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: The maximum normal bending stress in a beam, Mc/I, occurs along the beam where the bending moment is

A: The maximum normal bending stress in a beam, Mc/I, occurs along the beam where the bending moment…

Q: 4. A particle weighs 17 lb and is moving as shown below at 8 ft/s. Answer the following questions.…

Q: State steps that should be taken to prevent a trip hazard due to trailing leads:

A: A trip hazard due to trailing leads occurs when electrical cords or cables are left trailing on the…

Q: 3. An air-standard Diesel cycle has a compression ratio of 16 and a cutoff ratio of 2. At the…

A: Given: The compression ratio is r=16. The cut off ratio is rc=2. The pressure at the beginning of…

Q: where a force P is axially applied.On Page 768, considerFigure 11.18, wherea torque T is applied as…

A: Given Data: To Find: (a) The relative strengths of the strain energy due to P and T. (b) Impact of…

Q: 5. An ideal Brayton cycle with regeneration has a pressure ratio of 9. Air enters the compressor at…

Q: In the figure shown the gate in the shape of an arc of a circle of radius 3m has a central angle 45.…

Q: If there are two points A and B. A is located at a distance of h = 5.50 m below you and B is located…

Q: A pump is used to lift 11 CMH of water at 20°C from a nearby fresh water lake whose free surface is…

A: Given:Water flow rate, Q=11 CMH=11 m3/hr=113600m3/sWater temperature, T=20oCFree surface level of…

Q: mm and the coefficient of the fuel flow is 0.66. The petrol surface is 6 mm below the throat. Find…

A: Carburetor throat Diameter = 25 mm Coefficient of air flow = 0.87 The fuel orifice diameter = 1.35…

Q: Show that the shear stress produced on a slip plane by an edge dislocation on a parallel plane at…

Q: Determine the elongation of the rod in the figure below if it is under a tension of 7.0 x 10³ N. 2.4…

Q: Determine the location y of the center of mass G of the assembly (in mm). The block has a mass of…

A: Given:Mass of a block, m1=4.5 kgMass of a semicylinder, m2=6.0 kgFind:The location of y of the…

Q: Consider the system formed by a body on a horizontal string embedded at both ends, as shown in the…

Q: Q4: In Flat Strip Open Forging (FSOF) Process. A strip ingot of length (90.5mm), width (4.75cm), and…

A: Given: L=90.5 mmW=4.75 cmt0= 1.75 cmt=15 mmσy=280+110ε0.34μ=0.065 To find: Maximum plate pressure

Q: A centrifugal water pump has a discharge flow rate of 25 gpm. A pressure gauge at the pump suction…

Q: An automobile having a mass of 2 Mg travels up a 7° slope at a constant speed of 100 km/h. If…

A: Mass of vehicle m=2Mg = 2*106g = 2000kg Slope =7' Speed V=100kmph = 100*5/18 =27.77m/s Efficiency…

Q: Simple negative feedback: U(s) E(s) input with T₁(s) T₂(s) = 1 S T₁(s) = T₂(s) X(S) output 1 a+s²…

A: T1(s)=1(a+s2) a=2T2(s)=1s The input is U(t)=10s = 2

Q: Question 2: An 10-kg collar travels down a smooth slope as shown. If at s, its speed is 20 m/s,…

Q: A single 'pin fin (Cylindrical)' is to be used in an array of identical pin fins on an electronics…

Q: estion A and B are co by a rope fixed lengur start moving from rest at x = 0, being pulled by the…

A: Given data is

Q: If the characteristic equation is system is stable or not stable. Stable Not stable S³ +85² +21s +18…

A: The stability of the system. Given: The characteristic equation is s3+8s2+21s+18=0.

Q: Is there a conflict with the regards to the theories and principles presented by daniel bernouli…

A: Some theories given daniel bernouli , pascal and archimedes

Q: (iv) Thermoplastic polymers such as polyethylene can be melted relatively easily, because: a. they…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: The possibility for Occidental mechanical damage in the automotive shop is A nonexistent B rare c…

A: Despite the best efforts of skilled mechanics and proper maintenance procedures, There is always a…

Q: Angular Velocity: Since crank AB rotates about a fixed axis. Fig. a. U-PART-5(03)-15 m/s The…

A: Here, it is asked to explain the the provided solution so we have provided the explanation in the…

Q: Determine the internal shear force at point C Express your answer to three significant figures and…

Q: 6-89. Determine the horizontal and vertical components of force which pin C exerts on member ABC.…

Q: At the instant shown, the arm OA of the conveyor belt is rotating about the axis with a constant…

Q: For question 9-3, can you provide a free body diagram or model with the answer?

A: To draw the free body diagram.

Q: Calculate and plot shear force and bending moment diagrams, for each of the following beams:

A: plot shear force and bending moment diagrams, for each of the following beams:

Q: A 50-mm-diameter galvanized iron pipe, having a roughness of ε = 0.2 mm, is used to carry water at a…

A: d=50mm ε=0.2mm v=2.9m/s ν=0.478x10-6 m2/s We need to find Pressure drop over 12m pipe

Q: i. Your friend has chosen to use the rate form of the COLM to solve this problem. Neatly and…

Q: Question 2: The wheel starts from rest with an angular velocity of @=0.20², 0 is in radian.…

A: r = 0.5 m ω=0.2θ2 Required: ap (magnitude of linear acceleration of point P )

Q: A flat plate at zero angle of attack is in a 50° F airflow, at a speed of 260 ft/s. The plate is 4…

A: Given:Angle of attack, α=0Air temperature, T∞=50oFAir speed, U∞=260 ft/sSize of the plate, A=4 ft×10…

Q: A segment of the crankshaft in a vehicle is shown in the figure. Two loads P act as shown, one…

A: load P = 1.0 KN The crankshaft dimensions are b1 = 80 mm b2 = 120 mm b3 = 40 mm Diameter of the…

Q: Double pipe heat exchanger 122 kg/min of kerosene will be cooled from 149 C to 110 C by heat…

A: Mass flow rate of kerosene, m˙h=122 kg/minTemperature at entry, Thi=149 °CTemperature at exit,…

Q: A homogeneous disk of weight W= 6 lb rotates at the constant rate @₁-17.8 rad/s with respect to arm…

Q: In the figure shown below, a thick filter is being tested for losses. The flow rate in the pipe is…

Q: The strain in the x structural-steel beam is direction at point A on the A-36 measured and found to…

Q: Q1. For the given cube below, complete the following: 1.find the center, radius (R), principal…

Q: An electric train made up of two cars, each weighing50,000lb, is connected by couplings of stiffness…

A: Weight of car W = 50,000 lb g = 386.08858 in/sec² Mass of car m = 50000/386.08858…

Q: For the timber column shown in the two figures below, E = 12 GPa and the allowable stress for…

A: Given Data: Timber E= 12 GPa Allowable stress compression parallels to the grain Fc=9 MPa Find: use…

Q: Problem 16.1 Three forces are applied to the L-shaped plate shown in the figure. All forces are…

A: A force system given in question

Q: (T/F) Surface grinding is an effective machining process for a tolerance grade of 8,

A: This question is based on the concept of grinding.

Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

Transcribed Image Text:b) A hollow tube of cross-section as shown in Figure 2.2 is subjected to an axial tensile force of 100kN. If the tensile yield stress of the material is 280MN/m², use the von Mises yield criterion to determine if a torque of 6kNm can be applied without causing the tube to yield. * -50 mm 45 mm Figure 2.2: Hollow tube profile

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Principal stresses Calculation

VIEW

Step 3: Von mises theory

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 3 images

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 solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the figure. The allowable shear stress in the brass is 12 ksi. What is the maximum permissible value of the torques T1? If a hole of diameter 0.625 in. is drilled longitudinally through the bar, as shown in part b of the figure, what is the maximum permissible value of the torques T2? What is the percent decrease in torque and the percent decrease in weight due to the hole?
Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .
-11 A solid steel bar (G = 11.8 X 106 psi ) of diameter d = 2,0 in. is subjected to torques T = 8.0 kip-in. acting in the directions shown in the figure. Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements.
-7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5 in. When twisted by a torque 7", the tube develops a maximum normal strain of 170 x 10-6. What is the magnitude of the applied torque T?
The normal strain in the 45n direction on the surface of a circular tube (sec figure) is 880 × 10 when the torque T = 750 lb-in. The tube is made of copper alloy with G = 6.2 × 106 psi and y = 0.35. If the outside diameter d2of the tube is 0.8 in., what is the inside diameter dt? If the allowable normal stress in the tube is 14 ksi, what is the maximum permissible inside diameter d?
The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.
A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius r2equal to 1.5 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 400 × 10-6 rad, what is the shear strain y1at the inner surface? (b) If the maximum a1lo-abk rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 × 10-6 rad by adjusting the torque T, that is the minimum required outer radius ( r2)Min?
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
A solid aluminum bar (G = 27 GPa ) of diameter d = 40 mm is subjected to torques T = 300 N - m acting in the directions shown in the figure, Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements.
A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.
Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?