When a machine member is subjected to torsion, the torsional shear stress set up in the member is

A Zero at both the centroidal axis and outer surface of the member
B Maximum at both the centroidal axis and outer surface of the member
C Zero at the centroidal axis and maximum at the outer surface of the member
D Maximum at the centroidal axis and zero at the outer surface of the member

Correct Answer: Zero at the centroidal axis and maximum at the outer surface of the member

Bissoy MCQ
#Mechanical Engineering #Machine Design

Related Questions

When a body is subjected to biaxial stress i.e. direct stresses ($${\sigma _{\text{x}}}$$) and ($${\sigma _{\text{y}}}$$) in two mutually perpendicular planes accompanied by a simple shear stress ($${\tau _{{\text{xy}}}}$$ ), then maximum shear stress is
A $$\frac{1}{2}\sqrt {{{\left( {{\sigma _{\text{x}}} - {\sigma _{\text{y}}}} \right)}^2} + 4\tau _{{\text{xy}}}^2} $$
B $$\frac{1}{2}\sqrt {{{\left( {{\sigma _{\text{x}}} + {\sigma _{\text{y}}}} \right)}^2} + 4\tau _{{\text{xy}}}^2} $$
C $$\sqrt {{{\left( {{\sigma _{\text{x}}} - {\sigma _{\text{y}}}} \right)}^2} + \tau _{{\text{xy}}}^2} $$
D $$\sqrt {{{\left( {{\sigma _{\text{x}}} + {\sigma _{\text{y}}}} \right)}^2} + \tau _{{\text{xy}}}^2} $$
When a body is subjected to a direct tensile stress ($${\sigma _{\text{x}}}$$) in one plane accompanied by a simple shear stress ($${\tau _{{\text{xy}}}}$$ ), the maximum shear stress is
A $$\frac{{{\sigma _{\text{x}}}}}{2} + \frac{1}{2}\sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$
B $$\frac{{{\sigma _{\text{x}}}}}{2} - \frac{1}{2}\sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$
C $$\frac{{{\sigma _{\text{x}}}}}{2} + \frac{1}{2}\sqrt {\sigma _{\text{x}}^2 - 4\tau _{{\text{xy}}}^2} $$
D $$\frac{1}{2}\sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$
When a shaft, is subjected to torsion, the shear stress induced in the shaft varies from
A Minimum at the center to maximum at the circumference
B Maximum at the center to minimum at the circumference
C Zero at the center to maximum at the circumference
D Maximum at the center to zero at the circumference
The design stress, which is more than the damaging stress, is the least unit stress that will render a member unfit for service before the end of its normal life. The design stress factor or factor of safety indicates the margin between design stress and the __________ stress.
A Working
B Damaging
C Allowable
D None of these
The strain energy stored in a body due to shear stress, is (where $$\tau $$ = Shear stress, C = Shear modulus and V = Volume of the body)
A $$\frac{{\tau {\text{V}}}}{{2{\text{C}}}}$$
B $$\frac{{2{\text{C}}}}{{\tau {\text{V}}}}$$
C $$\frac{{{\tau ^2}{\text{V}}}}{{2{\text{C}}}}$$
D $$\frac{{2{\text{C}}}}{{{\tau ^2}{\text{V}}}}$$
When a body is subjected to a direct tensile stress (σ) in one plane, the maximum shear stress is __________ the maximum normal stress.
A Equal to
B One-half
C Two-third
D Twice
According to maximum shear stress failure criterion, yielding in material occurs, when the maximum shear stress is equal to __________ times the yield stress.
A 0.5
B 2
C $$\sqrt 2 $$
D $$\sqrt {\frac{3}{2}} $$
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft and $$I$$ = Mass moment of inertia of the disc attached at the end of a shaft)
A $$2\pi \sqrt {\frac{{\text{q}}}{I}} $$
B $$2\pi \sqrt {{\text{q}}I} $$
C $$\frac{1}{{2\pi }}\sqrt {\frac{{\text{q}}}{I}} $$
D $$\frac{1}{{2\pi }}$$
The shear stress at the center of a circular shaft under torsion is
A Zero
B Minimum
C Maximum
D Infinity
When a circular beam of diameter d is subjected to a shear force F, the maximum shear stress induced will be
A $$\frac{{4{\text{F}}}}{{\pi {{\text{d}}^2}}}$$
B $$\frac{{{\text{6F}}}}{{\pi {{\text{d}}^2}}}$$
C $$\frac{{{\text{8F}}}}{{\pi {{\text{d}}^2}}}$$
D $$\frac{{{\text{16F}}}}{{3\pi {{\text{d}}^2}}}$$

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