Angle of twist of a circular shaft under the action of a torsional moment 'T' is given by

\frac{G J}{T L}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{T l}{G J}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{T J}{G L}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{T G}{J L}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $\frac{T l}{G J}$
From torsion formula:
$\frac{T}{J} = \frac{τ}{r} = \frac{G θ}{L}$

$θ = \frac{T L}{G J}$

$W h e r e, θ = A n g l e o f t w i s t i n g$

$T \to A p p l i e d T o r q u e$

$J \to P o l a r m o m e n t o f i n e r t i a$

$τ \to S h e a r s t r e s s a t a d i s t a n c e r f r o m c e n t r e$

$r \to D i s t a n c e f r o m c e n t r e w h e r e s h e a r s t r e s s i s t o b e f o u n d$

$G \to S h e a r M o d u l u s$

$L \to L e n g t h o f s h a f t$

Suggest Corrections

Similar questions

Q. The ratio of the torsional moments of resistance of a solid circular shaft of diameter D, and a hollow circular shaft having external diameter D and internal diameter 'd' is given by

Q. A circular shaft is subjected to a twisting moment T and bending moment M. The ratio of maximum bending stress to maximum shear stress is given by

Q. A solid circular shaft of diameter 'd' is subjected to a twisting moment T. The maximum shear stress in the shaft is proportional to

Q. The ratio of torsional moments or resistance of a solid circular shaft of diameter D to that of a hollow shaft with external diameter D and internal diameter d.Both the shafts are of the same material.

A circular disc of mass 10 kg is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillations is found to be 1.5 s. The radius of the disc is 15 cm. Determine the torsional spring constant of the wire. (Torsional spring constant α is defined by the relation J = –α θ, where J is the restoring couple and θ the angle of twist).

Join BYJU'S Learning Program

Angle of twist of a circular shaft under the action of a torsional moment 'T' is given by

The correct option is B TlGJFrom torsion formula: TJ=τr=GθL θ=TLGJ Where, θ=Angle of twisting T → Applied Torque J → Polar moment of inertia τ → Shear stress at a distance r from centre r → Distance from centre where shear stress is to be found G → Shear Modulus L → Length of shaft