CameraIcon

SearchIcon

MyQuestionIcon

6

You visited us 6 times! Enjoying our articles? Unlock Full Access!

Strength of Materials

Composite Shafts in Torsion

Two shafts AB...

Question

Two shafts AB and BC, of equal length and diameters d and 2d, are made of the same material. They are joined at B through a shaft coupling, while the ends A and C are built-in(cantilevered). A twisting moment T is applied to the coupling. If $T_{A}$ and $T_{C}$ represent the twisting moments at the ends A and C, respectively, then

A

T_{C} = T_{A}

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

B

T_{C} = 8 T_{A}

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

C

T_{C} = 16 T_{A}

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

D

T_{A} = 16 T_{C}

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

Open in App

Solution

The correct option is C $T_{C} = 16 T_{A}$
Angular deflection in both shafts are same

$∴ θ_{A B} = θ_{B C}$

$\frac{T_{A} \times L}{G \times \frac{π}{32} \times d^{4}} = \frac{T_{C} \times L}{G \times \frac{π}{32} \times (2 d)^{4}}$

$T_{A} = \frac{T_{C}}{16}$

$∴ T_{C} = 16 T_{A}$

Suggest Corrections

thumbs-up

1

Similar questions

Q. Two rods A and B of the same material and length have their radii

r_{1}

r_{2}

respectively. When they are rigidly fixed at one end and twisted by the same couple applied at the other end, the ratio of the angle of twist at the end of A and the angle of twist at the end of B is

Q. Two rods A and B of the same material and the same length have radii

r_{1}

r_{2}

, respectively. When they are rigidly fixed at one end and twisted by the same couple applied at the other end the ratio of

{\frac{a n g l e o f t w i s t a t t h e e n d A}{a n g l e o f t w i s t a t t h e e n d B}}

Q. Two rods A and B of the same material and length have their radii

r_{1}

r_{2}

respectively. When they are rigidly fixed at one end and twisted by the same couple applied at the other end, the ratio of the angle of twist at the end of A and the angle of twist at the end of B is

A

B

of the same material and length have their radii

r_{1}

r_{2}

respectively. When they are rigidly fixed at one end and twisted by the same couple applied at the other end, the ratio

[\frac{A n g l e o f t w i s t a t t h e e n d o f A}{A n g l e o f t w i s t a t t h e e n d o f B}]

Q. Two rods A and B of the same material and length have their radii

r_{1}

r_{2}

respectively. When they are rigidly fixed at one end and twisted by the same couple applied at the other end, the ratio of the angle of twist at the end of A and the angle of twist at the end of B is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Composite Shafts in Torsion

STRENGTH OF MATERIALS

Watch in App

explore_more_icon

Explore more

Composite Shafts in Torsion

Other Strength of Materials

Join BYJU'S Learning Program

CrossIcon