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How do you calculate twisting moment?

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Asked: September 25, 20202020-09-25T09:15:00-07:00 2020-09-25T09:15:00-07:00In: Structural Engineering
nikeetasharma
nikeetasharma

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nikeetasharma Guru

how to calculate twisting moment?

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  1. AdityaBhandakkar

    AdityaBhandakkar

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    AdityaBhandakkar User
    2020-10-03T11:27:34-07:00Added an answer on October 3, 2020 at 11:27 am
    How do you calculate twisting moment?

    Hi,

    Torque, T = F x r x sin (theta), where r=distance between the rotation axis and the point of force applied, F  =force applied and theta= angle between F and r.

    Twisting moment,

    T = (shear stress X polar moment of inertia) / r.

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  2. Komal Bhandakkar

    Komal Bhandakkar

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    Komal Bhandakkar AUTHOR
    2020-10-07T18:17:55-07:00Added an answer on October 7, 2020 at 6:17 pm
    This answer was edited.

    Calculation of twisting moment:

    When we try to rotate a steel bar then that moment is nothing but the bending moment.

    The twisting moment is a special case of a bending moment.

    The twisting moment is also called a torsional moment or torque

    When we twist the end of the bar either clockwise or counterclockwise then bending moment will form.


    Formula:

    T= (G x angle ) x J/ L

    Where,

    T – Torque

    J- polar moment of inertia

    L – length

    G – Modulus of rigidity


    Thank You.  

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  3. nikeetasharma

    nikeetasharma

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    nikeetasharma Guru
    2020-10-15T10:10:50-07:00Added an answer on October 15, 2020 at 10:10 am

    Torsion is the twisting of a beam under the action of a torque (twisting moment). It is systematically applied to screws, nuts, axles, drive shafts etc, and is also generated more randomly under service conditions in car bodies, boat hulls, aircraft fuselages, bridges, springs and many other structures and components. A torque, T , has the same units (N m) as a bending moment, M . Both are the product of a force and a distance. In the case of a torque, the force is tangential and the distance is the radial distance between this tangent and the axis of rotation.

    All torsion problems can be solved using the following formula:

    T/J = shear stress/ r = (G * angle)/ L

    where:

    T = torque or twisting moment, [N×m, lb×in]
    J = polar moment of inertia or polar second moment of area about shaft axis, [m4, in4]
    τ = shear stress at outer fibre, [Pa, psi]
    r = radius of the shaft, [m, in]
    G = modulus of rigidity (PanGlobal and Reed’s) or shear modulus (everybody else), [Pa, psi]
    θ = angle of twist, [rad]
    L = length of the shaft, [m, in]

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