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What is the difference between torsional stiffness and torsional rigidity?

where I p = π D 4/32 is the polar moment of inertia of a circular cross section. Thus, the torque required for unit twist, i.e., T (θ) is called the torsional stiffness. The quantity is known as torsional rigidity and is represented Get Strength of Materials now with O’Reilly online learning.

What is the unit of torsional stiffness?

Torsional stiffness units: Therefore SI unit of torsional stiffness is N.m/radian.

What is torsion and torsional rigidity?

The applied torque needed to produce a unit angle of twist in a circular elastic material; a measure of a body’s resistance to torsion. From: torsional rigidity in The Oxford Dictionary of Sports Science & Medicine »

What are the units of torsional rigidity in MM?

Explanation: The ratio of polar moment of inertia to radius of section is called Polar modulus or Torsional section modulus. Its units are mm3 or m3 (in SI).

What is torsional rigidity in mechanics of materials?

Torsional rigidity is the product of modulus of rigidity (G) & polar moment of inertia. Hence, torsional rigidity is also defined as the torque required to produce a unit radian angle of twist per unit length of the shaft.

What do you understand by the term torsional rigidity?

Torsional Rigidity is the amount of torque (twisting) that a radial shaft can take during rotation. Torsional stiffness is measured in torque (in Nm) per radian (degree of twist).

What are the units of torsional?

Torsion is expressed in either the pascal (Pa), an SI unit for newtons per square metre, or in pounds per square inch (psi) while torque is expressed in newton metres (N·m) or foot-pound force (ft·lbf).

What is meant by torsional rigidity?

Torsional rigidity is the minimum amount of force required to change the shape of an object. This is to be done by twisting through the unit dimension. Mathematical expression for torsion can be given as: TJ=G×θL=τr.

What is the unit of polar modulus?

What are the units of Polar modulus? Explanation: The ratio of polar moment of inertia (J) to the radius of section(R) is known as polar modulus or torsional section modulus. Its units are mm3.

What is torsional rigidity?

What do you mean by torsional rigidity?

Rating. Unlock Full Solution (Free) ​ T J = τ r = G θ L ​ Torque per radian twist is known as torsional stiffness (k) k = T θ = G J L.

What is meant by torsional stiffness?

Torsional stiffness is characteristic property of a materials which signifies how rigid is that material i.e, how much resistance it offers per degree change in its angle when twisted. More torsional stiffness/ rigidity, more load ( torque) it can bear within allowable distortion.

What is the difference between rigidity modulus and torsional rigidity?

Torsional rigidity is usually given in terms of a specific loading for example newton-meters or foot pounds and is a property of a specific component. Rigidity modulus is a property of a material (analogous to young’s modulus) that describes a particular alloys rotational stiffness.

What is the difference between GJ and torsional rigidity?

Here GJ represents torsional rigidity of the shaft which is the torque transmitted by a shaft for unit angular twist in unit length of the shaft. It’s unit is N m 2. Torsional stiffness: It is the torque that can be transmitted by a shaft while undergoing unit angular twist.

What is the difference between torsional rigidity and shearing stress?

This stress is both tensional and compressional, directed helically at 45° around the shaft. If the shaft is brittle, it will fail by cracking on the surface and radiate to the core of the shaft. The fracture is in a 45-degree angle helical shape. Torsional rigidity is the resistance of the shaft to this shearing stress.