Answered: A shaft subjected to torsion…

A shaft subjected to torsion experiences a pure shear stresst on the surface. The maximum principal stress on the surface which is at 45° to the axis will have a value (a) T COS 45° (b) 2T COS 45°

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.27P: -27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile...

See similar textbooks

Related questions

Q: The cross-sectional area shown is subjected to V = 600 kN and M =1000 kN-m. What is the transverse…

Q: For the two-dimensional stress fi eld shown in Fig. it isfound thatσxx = 3000 lbf/ft2 σyy = 2000…

A: Given data:

Q: 3. If o, = 30 ksi, o, = 20 ksi, and ty = 10 ksi, what is the maximum in-plane shear stress in ksi? →…

A: Given:σx=30 ksiσy=20 ksiζxy=10 ksi

Q: The major and minor principal stresses are 3 MPa and -3MPA respectively. The maximum shear stress at…

A: Given data : Major principal stress=3 MPaMinor principal stress=-3 MPa

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…

Q: Find the applied force which produce stress of 22 N/mm2 on cross sectional area of 5.98 mm2

A: Given data : Stress σ=22 N/mm2 Cross sectional area A=5.98 mm2 Required : Applied force

Q: Determine the magnitude of the maximum shear stress on the stress element for which σx=-87 MPa,…

Q: For the state of stress given below, a) Determine principal stresses and principal planes b)…

Q: The invariants of a stress system at any point are 1 = -2 MPa, I2 = -15 MPa and I3 = 0 MPa Find…

A: Given Data : Invariants of stress system are :σx=I1=-2 Mpaσy=I2=-15 Mpaζxy=I3=0 Mpa

Q: Determine the absolute maximum shear stress for each of the following plane stress states for which…

Q: At a point on the free surface of a stressed body, the normal stresses are 20 ksi (T) on a vertical…

Q: 100 kip 10 kip-ft The 4-in. diameter shaft shown above is made from a ductile brass alloy. Which of…

A: solution Given d=4 in

Q: The cross-sectional area of bar ABCD is 600 mm2. Determine the maximum normal stress in the bar.…

Q: SIMPLE STRESSES 2. The puncher is to drive a 25 mm diameter hole to a steel plate. If the allowable…

Q: The stal block Shown below is Subjected to a normal stress Of 100 Mea and 85 MPa Aogether with a…

Q: 11 The state of stress at a point is given by : 0, = 20, - 40 and tyz normal, shear and resultant…

A: We are given the state of stress at a point in the question, and we must calculate the normal,…

Q: The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and…

A: Mohr's Circle

Q: If the principal stresses in a plane stress problem are ơ1 = 100 MPa, ơ2 = 40 MPa, the magnitude of…

A: Write the given values along with suitable variables.

Q: Stress Transformation & Mohrs Circle Consider a stress point in a structural member that is…

A: Given data: σx=60 MPaσy=90 MPaτxy=30 MPa Need to determine the principal stresses and maximum shear…

Q: At a point in a stressed body, the cartesian components of stress are sigma xx = 60 MPa, sigma yy=…

Q: The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and…

A: Given:- σx=70 MN/m2σy=50 MN/m2τxy=30MN/m2θ=30° To find:- The magnitude of the normal, tangential,…

Q: :A normal stress of 20 ksi is to be transferred from one plate to another by riveting a plate on…

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses…

Q: A point is subjected to tensile stresses of 200 MPa and 150 MPa on two mutually perpendicular planes…

A: Stress is defined as the resistance force acting per unit cross-section area of the body. It is also…

Q: The state of plane-stress at a point is given by o = 200 MPa, o, = 100 MPa and = 100 MPa. The…

A: It is very basic numerical of plane stress. Concept used is Maximum shear stress under biaxial…

Q: The Cartesian components of stress at a point are 0x = 15 Oy = 0₂ = 8, - Txy = 6, Tyz = 4, Txz = 4…

Q: Q.3// The state of stress is given by ox = 5 Cy and oy = 7.5p plus shearing stresses Ty· %3D %3D On…

Q: A shaft subjected to torsion experiences a pure shear stress t on the surface. The maximum principal…

Q: -bar rigidly fixed at its both ends uniformly tapers from 90 er. What will be the maximum stress…

A: This explanation is given below

Q: What is the average shear stress in collar Assume the collar at A is circular with a diameter of…

A: Given: The diameter of the collar, D = 0.05 m The thickness of the collar, t = 0.02 m The diameter…

Q: Q.1) For the given state of stress at a point (Normal stresses are 200 & 150 MPa, and Shear stress…

A: Given data:6x=-200MPa6y=-150MPa → compressive normal stressτxy=100MPaθ=30°To find:1) Normal…

Q: Current Attempt in Progress Consider a point in a structural member that is subjected to plane…

Q: 4) Mohr's circle is shown for a point in a physical object that is subjected to plane stress. If 1…

A: Given data: (Note: 1 grid square = 8 MPa) ● The stress in the negative x-direction: 10 grid square…

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…

Q: Q2) A state of plane stress is given by g =- 32MPa, gy = 16MPA and Txy = 10MPA. Use Mohr's stress…

A: Mohr circle is a two dimensional graphical method of expressing the normal stresses and shear stress…

Q: Find the minimum size of a hole that can be punched in a 20 mm thick mild steel plate having an…

A: We are restricted to solve one question at a time. Please ask other questions in the next post.…

Q: Oy Ot Txy a Tnt Ox On (b) (a) On the surface of a structural member, stresses are given as ox=67,9…

A: Given data: The stress in x-direction is σx=67.9 MPa The stress in y-direction is σy=25.5 MPa The…

Q: The tip of a cutting tool has stresses at the surfaces, as shown in the sketch. On the upper…

A: Given data, τxy = -15.9 MPa To determine:- σx and σy Shear stress of the upper surface

Q: Listed below is a combination of stresses acting at a point and referred to axes x and y in an…

A: As Given in case (1); σx= -60 N/mm2 , σy= -36 N/mm2 , ζxy= 5 N/mm2 So the principal stresses will be…

Q: The known stress components at a point in a body, relative to the (x, y, z) axes, are ox = 20MPA, Oy…

A: Given:-σx=20MPaσy=10Mpaτxy=30MPaτxz=-10MPaτyz=80MPaI2=-7800MPaTo find:-Stress component σz and…

Q: The boom AC is a 4-in. square steel tube with a wall thickness of 0.25 in. The boom is supported by…

Q: At a point in a stressed body, the known stresses are o, = 42 MPa (T), o, = 16 MPa (C), o, = 22 MPa…

A: Given, σx=42MPa(T)σy=16MPa(C)σz=22MPa(T)τxy=40MPaτyz=0τzx=27MPal=cos…

Q: At a point on the flat surface of a member, load-stress relations give the following stress…

A: GIVEN: σxx=100 MPaσyy=0σzz=100 MPa τxy=20 MPaτxz=0τyz=20 MPa To find the principle stress σ2 and its…

Q: 4) Mohr's circle is shown for a point in a physical object that is subjected to plane stress. If 1…

Q: 2. For the state of plane stress given, determine the principal planes, the principal stresses and…

A: givenstress in x direction σx=100MPa tensile stress in y direction σy=-60MPa compressive shear…

Q: Calculate the normal stress and shear stress acting on the plane 2x+y+2z=1 passing thorough a point…

A: given; plane ;2x+y+2z=1stress at point (σ)=162022000023

Q: The stress components at a point in a plate are o, = 70 MPa, oy = 50 MPa, z= 30 MPa, ơy = 10 MPa,…

Q: Find the minimum size of a hole that can be punched in a 20 mm thick mild steel plate having an…

A: Punching is a process is used to make holes in the sheet metal by forcing a tool which is called a…

Q: At a point in a stressed body the state of stress on two planes 45° apart is as shown below.…

A: Given:σx=8 MPaτxy=3 MPaθ=45o

Question

A shaft subjected to torsion experiences a pure
shear stresS t on the surface. The maximum
principal stress on the surface which is at 45° to
the axis will have a value
(a) t cos 45°
(b) 2t cos 45°
(d) t cos? 45°
(d) 2t sin 45° cos 45°

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 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

-27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile stress The stresses on element A oriented at angle ?? x1=45° aresy1= 75 psi. tx1y1= 275 psi. . Find the state of stress on the element lilt is rotated clockwise to align the x3 axis with the horizontal x axis.
At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clement
An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec figure). On this inclined clement, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an clement whose sides are parallel to the \y axes, that is, determine crv, tr(_, and t, Show the results on a sketch of an clement oriented at B .
A shaft subjected to torsion experiences a pure shear stress t on the surface. The maximum principal stress on the surface which is at 45° to the axis will have a value (a) t cos 45° (d) t cos2 45° (b) 2t cos 45° (d) 2t sin 45° Cos 45°
The state of stress at a point in a machine component is given by ox = 120 MPa, oy = 55 MPa, Oz = -85 MPa, Oxy = -55 MPa, Oxz = -75 MPa, and oyz = 33 MPa. Construct the Mohr's circles of stress for this stress state and find the maximum shear stress.
The state of stress at a point under plane stress 40 MPa, Oyy condition is Ox = = 100 MPa and Txy 40 MPa. This radius the Mohr's circle representing the given state of stress in MPa is:
The state of plane stress at a point is represented by the element shown in the figure. Oy o, = 200 Mpa oy = 450 Mpa Txy Try 3D200 Мра Click here to see all formulas Ox Part A - Determine the maximum principal stress in Mpa. O 253 О 355 O 507 O 760 O 608 Submit Request Answer O O O O O
The distribution of stress in an isotropic aluminium machine component is given (in MPa) as: σ₂ = y +2z² - 6 σ₁ = x+z-6 oy σ₂ = 3x+y-13 6: T =3z² -11 xy (i) (ii) =x²-14 Tyz Txz = y² XZ x, y and z are coordinates of a point within the machine component. By taking Young's modulus, E = 70 GPa, Poisson ratio, v= 0.3 and yield stress, Y = 5 MPa, do the following for a point P located at (4, 1, 2): a) Provide the stress and strain tensors. b) Determine all the principal stresses and principal strains. c) Determine if the machine component will fail based on the failure criteria below: Tresca criterion Von Mises criterion
A piston-cylinder has a force F₁ applied to it. The circumferential stress in the cylinder cannot exceed Omax = 6 MPa. Hint: 1. Pressure = F Area P = F₁ F₁- OG Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value T'inner 44 mm t 1.25 mm r1 a. Determine the max pressure that the piston-cylinder can withstand, P. b. Determine the magnitude of max force that can be exerted on the piston to not exceed omax, F1. kPa N
Q1/ For the state of plane stress shown below, construct a Mohr's circle and determine:- (a) the principle stress acting at this point (b) the orientation of the principle stress (c) the maximum in-plane shear stress at the point and the corresponding average normal stress (d) the orientation of the maximum in-plane shear stress (e) show the results on elements 700 kPa 100 kPa tal stress enks 400 kPa
Q1/ For the state of plane stress shown below, construct a Mohr's circle and determine:- (a) the principle stress acting at this point (b) the orientation of the principle stress (c) the maximum in-plane shear stress at the point and the corresponding average normal stress (d) the orientation of the maximum in-plane shear stress (e) show the results on elements 700 kPa pisres shear Stress at 100 kPa al stress aximum plar arenis ec 400 kPa
In a plane stress condition, the components of stress at point are ox = 20 MPa, ơy = 80 MPa and Txy = 40 MPa. The maximum shear stress (in MPa) at the point is