if you want to remove an article from website contact us from top.

    when a circular shaft is subjected to torque, the torsional shear stress is

    Mohammed

    Guys, does anyone know the answer?

    get when a circular shaft is subjected to torque, the torsional shear stress is from screen.

    When a shaft is subjected to torsion the shear stress induced

    When a shaft, is subjected to torsion, the shear stress induced in the shaft varies from a) Minimum at the center to maximum at the circumference b) Maximum at the center to minimum at the circumference c) Zero at the center to maximum at the circumference d) Maximum at the center to zero at the circumference

    Examveda

    When a shaft, is subjected to torsion, the shear stress induced in the shaft varies from

    A. Minimum at the center to maximum at the circumference

    B. Maximum at the center to minimum at the circumference

    C. Zero at the center to maximum at the circumference

    D. Maximum at the center to zero at the circumference

    Answer: Option C

    Click here to read 1000+ Related Questions on Strength of Materials in ME(Mechanical Engineering)

    Join The Discussion

    Related Questions on Strength of Materials in ME

    A lap joint is always in _________ shear.

    A. Single B. Double C. Both A and B D. None of these View Answer

    A pressure vessel is said to be a thin shell when the ratio of wall thickness of the vessel to its diameter is __________ 1/10.A simply supported beam with a gradually varying load from zero at ‘B’ and ‘w’ per unit length at ‘A’ is shown in the below figure. The shear force at ‘B’ is equal to

    A. Equal to B. Less than C. Greater than D. None of these View Answer

    A. wl/6 B. wl/3 C. wl D. 2wl/3 View Answer

    The columns whose slenderness ratio is less than 80, are known as

    A. Short columns B. Long columns C. Weak columns D. Medium columns View Answer

    More Related Questions on Strength of Materials in ME

    Read More: MCQ Type Questions and Answers

    Arithmetic Ability

    Competitive Reasoning

    Competitive English Data Interpretation General Knowledge History Geography Current Affairs Banking Awareness

    Computer Fundamentals

    Networking C Program Java Program SQL Database HTML CSS Javascript PHP Computer Science

    Electrical Engineering

    Mechanical Engineering

    Civil Engineering

    Chemical Engineering

    Commerce Management

    स्रोत : www.examveda.com

    [Solved] A circular shaft is subjected to torque. The torsional rigid

    Explanation: \( \frac{T}{J} = \frac{\tau }{r} = \frac{{G\theta }}{L}\) Torque per radian twist is known as torsional stiffness (k) \(k=\frac{T

    Home Strength of Materials Torsion of Shaft

    Question

    Download Solution PDF

    A circular shaft is subjected to torque. The torsional rigidity is defined as:

    This question was previously asked in

    UPRVUNL JE ME 2016 Official Paper Shift 2

    Download PDF Attempt Online

    View all UPRVUNL JE Papers >

    product of polar moment of inertia and modulus of rigidity

    ratio of torque and polar moment of inertia

    product of torque and length

    sum of polar moment of inertia and modulus of rigidity

    Answer (Detailed Solution Below)

    Option 1 : product of polar moment of inertia and modulus of rigidity

    Crack with

    India's Super Teachers

    FREE

    Demo Classes Available*

    Explore Supercoaching For FREE

    Free Tests

    View all Free tests >

    FREE ST 1: Power Systems 6.7 K Users

    20 Questions 20 Marks 15 Mins

    Start Now

    Detailed Solution

    Download Solution PDF

    Explanation: TJ=τr=GθL

    Torque per radian twist is known as torsional stiffness (k)

    k=Tθ=GJL

    The parameter GJ is called torsional rigidity of the shaft.

    Torsional rigidity is also defined as torque per unit angular twist per unit length

    GJ=Tθ/L

    Download Solution PDF

    Share on Whatsapp

    Latest PGCIL Diploma Trainee Updates

    Last updated on Sep 22, 2022

    The Power Grid Corporation of India Limited (PGCIL) has decided to cancel the notification for PGCIL Diploma Trainee NR II. It was cancelled due to some administrative reasons. The authority has made it clear that the application fee of all the candidates will be fully refunded. But the candidates can expect the notification to be out very soon. So they should go through the PGCIL Diploma Trainee Syllabus and Exam Pattern and continue their preparation in the right direction.

    India’s #1 Learning Platform

    Start Complete Exam Preparation

    Daily Live MasterClasses

    Practice Question Bank

    Mock Tests & Quizzes

    Get Started for Free

    Download App

    Trusted by 3.2 Crore+ Students

    ‹‹ Previous Ques Next Ques ››

    More Torsion of Shaft Questions

    Q1. The ratio of strengths of solid to hollow shafts, both having outside diameter D and hollow shaft having inside diameter D / 2, in torsion, isQ2. Three rolled steel beam ISWB 300 as shown in the figure are used as built-up sections for columns having Ixx = 9821.6 × 104 mm4 and Iyy = 990 × 104  mm4. The moment of inertia of the combined section Ixx is given as:Q3. Strain energy stored in a hollow shaft of external diameter (D) and internal diameter (d) when subjected to shear stress (

    τ ) is equal to

    Q4. Power transmitted by a shaft is given by expression in watts -Q5. A long shaft of diameter d is subjected to twisting moment T at its ends. The maximum normal stress acting at its cross–section is equal toQ6. Which one of the given statement is WRONG about torsion?Q7. For pure bending, identify the WRONG statement.Q8. The maximum torque that can be safely applied to a shaft of 100 mm diameter if the permissible angle of twist is 1 degree in a length of 3 m and the permissible shear stress is 30 N/mm2. Take G = 0.8 × 105 N/mm2.Q9. In the bending stress equation M/I = f/y = E/R, which of the following is INCORRECT?Q10. Shear stress at the centre of Shaft is:

    स्रोत : testbook.com

    Torsion of Shafts

    The torsion of solid or hollow shafts - Polar Moment of Inertia of Area.

    Torsion of Shafts

    Torsion of Shafts The torsion of solid or hollow shafts - Polar Moment of Inertia of Area.

    Sponsored Links

    Shear Stress in the Shaft

    When a shaft is subjected to a torque or twisting a shearing stress is produced in the shaft. The shear stress varies from zero in the axis to a maximum at the outside surface of the shaft.

    The shear stress in a solid circular shaft in a given position can be expressed as:

    Note

    the "" is a measure of a shaft's ability to resist torsion. The " of Inertia" is defined with respect to an axis perpendicular to the area considered. It is analogous to the "Area Moment of Inertia" - which characterizes a beam's ability to resist bending - required to predict deflection and stress in a beam.

    1 ft = 12 in 1 ft4 = 20736 in4

    1 psf (lbf/ft2) = 1/144 psi (lbf/in2)

    "Polar Moment of Inertia of an Area" is also called "Polar Moment of Inertia", "Second Moment of Area", "Area Moment of Inertia", "Polar Moment of Area" or "Second Area Moment".

    Polar Moment of Inertia vs. Area Moment of Inertia

    "Polar Moment of Inertia" - a measure of a beam's ability to resist torsion - which is required to calculate the twist of a beam subjected to torque

    "Area Moment of Inertia" - a property of shape that is used to predict deflection, bending and stress in beams

    Circular Shaft and Maximum Moment or Torque

    Maximum moment in a circular shaft can be expressed as:

    Combining (2) and (3) for a solid shaft

    Combining (2) and (3b) for a hollow shaft

    Circular Shaft and Polar Moment of Inertia

    Polar Moment of Inertia of a circular solid shaft can be expressed as

    Polar Moment of Inertia of a circular hollow shaft can be expressed as

    Diameter of a Solid Shaft

    Diameter of a solid shaft can calculated by the formula

    Torsional Deflection of Shaft

    The angular deflection of a torsion shaft can be expressed as

    The angular deflection of a torsion solid shaft can be expressed as

    The angular deflection of a torsion hollow shaft can be expressed as

    The angle in degrees can be achieved by multiplying the angle  in radians with

    olid shaft ( replaced)

    Torsion Resisting Moments from Shafts of Various Cross Sections

    Shaft Cross Section Area Maximum Torsional

    Resisting Moment - Nomenclature

    Solid Cylinder Shaft

    Hollow Cylinder Shaft

    Ellipse Shaft h = "height" of shaft

    b = "width" of shaft

    h > b

    Rectangle Shaft h > b

    Square Shaft

    Triangle Shaft b = length of triangle side

    Hexagon Shaft

    Example - Shear Stress and Angular Deflection in a Solid Cylinder

    A moment of is acting on a solid cylinder shaft with diameter (0.05 m) and length . The shaft is made in steel with modulus of rigidity .

    Maximum shear stress can be calculated as

    The angular deflection of the shaft can be calculated as

    Example - Shear Stress and Angular Deflection in a Hollow Cylinder

    A moment of is acting on a hollow cylinder shaft with outer diameter , inner diameter (0.03 m) and length . The shaft is made in steel with modulus of rigidity .

    Maximum shear stress can be calculated as

    The angular deflection of the shaft can be calculated as

    Example - Required Shaft Diameter to Transmit Power

    A 15 kW electric motor shall be used to transmit power through a connected solid shaft. The motor and the shaft rotates with 2000 rpm. The maximum allowable shear stress  - - in the shaft is 100 MPa.

    The connection between power and torque can be expressed

    Re-arranged and with values - the torque can be calculated

    T = (15 103 W) / (0.105 (2000 rpm))

    = 71 Nm

    Minimum diameter of the shaft can be calculated with eq. 4

    D = 1.72 ((71 Nm) / (100 106 Pa))1/3

    = 0.0153 m = 15.3 mm Sponsored Links

    Related Topics

    Mechanics - Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.

    स्रोत : www.engineeringtoolbox.com

    Do you want to see answer or more ?
    Mohammed 2 month ago
    4

    Guys, does anyone know the answer?

    Click For Answer