GATE ME
Strength of Materials
Torsion
Previous Years Questions

## Marks 1

A motor driving a solid circular steel shaft transmits $$40$$ $$kW$$ of power at $$500$$ $$rpm$$. If the diameter of the shaft is $$40$$ $$mm,$$ the m...
The cross sections of two hollow bars made of the same material are concentric circles as shown in the figure. It is given that 𝑟3 > 𝑟1 and 𝑟4 &...
A rope brake dynamometer attached to the crank shaft of an $$I.C.$$ engine measures a brake power of $$10$$ kW when the speed of rotation of the shaft...
Consider a stepped shaft subjected to a twisting moment applied at $$B$$ as shown in the figure. Assume shear modulus, $$G=77$$ GPa. The angle of twis...
Two solid circular shafts of $${{R_1}}$$ and $${{R_2}}$$ are subjected to same torque. The maximum shear stresses developed in the two shafts are $${\... A solid circular shaft of diameter$$d$$is subjected to a combined bending moment,$$M$$and torque,$$T.$$The material property to be used for desi... For a circular shaft of diameter$$'d'$$subjected to torque$$T,$$the maximum value of the shear stress is Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 240 MPa. If the shaft diameter is doubled then the maxim... ## Marks 2 Two circular shafts made of same material, one solid$$(S)$$and one hollow$$(H)$$, have the same length and polar moment of inertia. Both are subjec... A rigid horizontal rod of length$$2L$$is fixed to a circular cylinder of radius$$R$$as shown in the figure. Vertical forces of magnitude$$P$$are... A hollow shaft of$$1$$m length is designed to transmit a power of$$30$$kW at$$700$$rpm. The maximum permissible angle of twist in the shaft is ... A solid circular shaft needs to be designed to transmit a torque of 50N.m. If the allowable shear stress of the material is$$140$$MPa, assuming a fac... A torque$$T$$is applied at the free end of a stepped rod of circular cross-sections as shown in the figure. The shear modulus of the material of the... A solid shaft of diameter,$$d$$and length,$$L$$is fixed at both the ends. A torque,$${T_0}$$is applied at a distance,$$L/4$$from the left end ... A machine frame shown in the figure below is subjected to a horizontal force of$$600N$$parallel to$$Z$$-direction. The normal and shear str... A machine frame shown in the figure below is subjected to a horizontal force of$$600N$$parallel to$$Z$$-direction. The maximum principal st... The two shafts$$AB$$and$$BC$$, of equal length and diameters$$d$$and$$2d$$, are made of the same material. They are joined at$$B$$through a sh... A torque of$$10N-m$$is transmitted through a stepped shaft as shown in figure. The torsional stiffnesses of individual sections of lengths$$MN...
A solid circular shaft of $$60$$ mm diameter transmits a torque of $$1600$$ N - m. The value of maximum shear developed is
Two shafts $$A$$ and $$B$$ are made of the same material. The diameter of shaft $$B$$ is twice that of shaft $$A$$. the ratio of power which can be t...
A circular rod of diameter $$d$$ and length $$3d$$ is subjected to a compressive force $$F$$ acting at the top point as shown below. Calculate the str...
The compound shaft shown is built-in at the two ends. It is subjected to a twisting moment $$T$$ at the middle. What is the ratio of the reaction torq...
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