# Practice Test: Question Set - 17

**1. When a load on the free end of a cantilever beam is increased, failure will occur**

- (A) At the free
end

- (B) At the fixed
end

- (C) In the
middle of the beam

- (D) At a
distance 2

*l*/3 from free end

**2. The rectangular beam '**

*A*' has length*l*, width*b*and depth*d*. Another beam '*B*' has the same width and depth but length is double that of '*A*'. The elastic strength of beam '*B*' will be __________ as compared to beam*A*.- (A) Same

- (B) One-half

- (C) One-fourth

- (D) One-eighth

**3. 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)

*Wl/nbt²*

- (B)

*3Wl/2nbt²*

- (C)

*2Wl/nbt²*

- (D)

*3Wl/nbt²*

**4. The extension of a circular bar tapering uniformly from diameter**

*d₁*at one end to diameter*d₂*at the other end, and subjected to an axial pull of*P*is _________ the extension of a circular bar of diameter*d₁**d₂*subjected to the same load*P*.- (A) Equal to

- (B) Less than

- (C) Greater than

- (D) None of
these

**5. In a thick cylindrical shell subjected to an internal pressure (**

*p*), the radial stress across the thickness of the cylinder is- (A) Maximum
at the outer surface and minimum at the inner surface

- (B) Maximum
at the inner surface and minimum at the outer surface

- (C) Maximum
at the outer surface and zero at the inner surface

- (D) Maximum
at the inner surface arid zero at the outer surface

**6. A column with maximum equivalent length has**

- (A) Both ends
hinged

- (B) Both
ends fixed

- (C) One end
fixed and the other end hinged

- (D) One end
fixed and the other end free

**7. The ratio of change in volume to the original volume is called**

- (A) Linear
strain

- (B) Lateral
strain

- (C) Volumetric
strain

- (D) Poisson's
ratio

**8. Which of the following statement is wrong?**

- (A) In the
theory of simple bending, the assumption is that the plane sections before
bending remains plane after bending.

- (B) In a beam
subjected to bending moment, the strain is directly proportional to the
distance from the neutral axis.

- (C) At the
neutral axis of a beam, the bending stress is maximum.

- (D) The bending
stress in a beam is inversely proportional to the section modulus.

**9. The polar moment of inertia of a solid circular shaft of diameter (**

*D*) is- (A)

*πD³/16*

- (B)

*πD³/32*

- (C)

*πD⁴/32*

- (D)

*πD⁴/64*

**10. In Mohr's circle, the center of circle from Y-axis is taken as**

- (A) (

*σ*/2

_{x}- σ_{y})- (B) (

*σ*+

_{x}*σ*/2

_{y})- (C)

*[(σ*/

_{x}- σ_{y})*2]*+

*τ*

- (D)

*[(σ*+

_{x}*σ*/

_{y})*2]*+

*τ*

**11. Shear strength of the welded joint for double parallel fillet is (where τ = Allowable shear stress for weld metal)**

- (A) 0.5

*s*.

*l*.τ

- (B)

*s*.

*l*.τ

- (C) √2

*s*.

*l*.τ

- (D) 2.

*s*.

*l*.τ

**12. 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

**13. The strain energy stored in a body, when the load is gradually applied, is (where σ = Stress in the material of the body,**

*V*= Volume of the body, and*E*= Modulus of elasticity of the material)- (A)

*σE*/

*V*

- (B)

*σV*/

*E*

- (C)

*σ²E*/2

*V*

- (D)

*σ²V*/2

*E*

**14. At the neutral axis of a beam, the shear stress is**

- (A) Zero

- (B) Minimum

- (C) Maximum

- (D) Infinity

**15. In a stress-strain diagram for mild steel, as shown in the below figure, the point ‘**

*A*’ represents- (A) Elastic
limit

- (B) Upper
yield point

- (C) Lower yield
point

- (D) Breaking
point

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