The shear stress distribution for a fluid flowing in between the parallel plates, both at rest, is

In leaf springs, the maximum bending stress developed in the plates is (where W = Load acting on the spring, $$l$$ = Span of the spring, n = Number of plates, b = Width of plates and t = Thickness of plates)

A

$$\frac{{{\text{W}}l}}{{{\text{nb}}{{\text{t}}^2}}}$$

B

$$\frac{{3{\text{W}}l}}{{2{\text{nb}}{{\text{t}}^2}}}$$

C

$$\frac{{2{\text{W}}l}}{{{\text{nb}}{{\text{t}}^2}}}$$

D

$$\frac{{3{\text{W}}l}}{{{\text{nb}}{{\text{t}}^2}}}$$

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 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

$$\frac{1}{2}\sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$

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

$$\sqrt {\frac{3}{2}} $$

A double fillet welded joint with parallel fillet weld of length '$$l$$' and leg 's' is subjected to a tensile force 'P'. Assuming uniform stress distribution, the shear stress in the weld is given by

A

$$\frac{{\sqrt 2 {\text{P}}}}{{{\text{s}}l}}$$

B

$$\frac{{\text{P}}}{{2{\text{s}}l}}$$

C

$$\frac{{\text{P}}}{{\sqrt 2 {\text{s}}l}}$$

D

$$\frac{{2{\text{P}}}}{{{\text{s}}l}}$$

Shear stress in a fluid flowing in a round pipe

A

Varies parabolically across the cross-section

B

Remains constant over the cross-section

C

Is zero at the centre and varies linearly with the radius

D

Is zero at the wall and increases linearly to the centre

A fluid which has a linear relationship between the magnitude of applied shear-stress and the resulting rate of deformation is called a/an __________ fluid.

A

Newtonion

B

Non-Newtonion

C

Ideal

D

Incompressible

According to Newton's law of viscosity, the shear stress on a layer of a fluid is __________ to the rate of shear strain.

A

Equal to

B

Directly proportional

C

Inversely proportional

D

None of these

The shear stress distribution for a fluid flowing in between the parallel plates, both at rest, is

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