Pick up the incorrect statement from the following. The torsional resistance of a shaft is directly proportional
to:
Moment of inertia of the shaft section.
Torsional resistance or Torsion: When a shaft is a subjected to a torque or twisting a shear 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 and that torque is called torsional resistance.
टॉरशनल रेजिस्टेंस या टॉर्शन: जब किसी शाफ्ट पर टॉर्क या मरोड़ (twisting) लगाया जाता है, तो उस शाफ्ट में शियर स्ट्रेस
उत्पन्न होता है। यह शियर स्ट्रेस शाफ्ट की धुरी (axis) पर शून्य से लेकर बाहरी सतह पर अधिकतम तक बदलता रहता है, और
इसी टॉर्क को टॉरशनल रेजिस्टेंस कहा जाता है।
Using Torsion Formula:
where
T = Torque [Torsional resistance]
J = Polar moment of inertia
t = Shear stress
G = Modulus of rigidity
θ =Angle of twist
L = Length of shaft
From above formula :
Torsional resistance is directly proportional to modulus of rigidity, angle of twist, torque and reciprocal of
the length of the shaft radius distance from center
Torsional shear stress is inversely proportional to polar moment of inertia, and length of the shaft.
Torsional resistance is inpendent to moment of inertia, it depends on polar moment of inertia.
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