# Practice Test: Question Set - 26

**1. The relation between modulus of elasticity (**

*E*) and modulus of rigidity (*C*) is given by- (A)

*C = m.E*/2 (

*m*+ 1)

- (B)

*C =*2(

*m*+ 1)/

*m.E*

- (C)

*C =*2

*m.E*/(

*m*+ 1)

- (D)

*C =*(

*m*+ 1)/2

*m.E*

**2. The Rankine's constant for a mild steel column with both ends hinged is**

- (A) 1/750

- (B) 1/1600

- (C) 1/7500

- (D) 1/9000

**3. In a watch, the spring is used to store strain energy. This energy is released**

- (A) To stop the
watch

- (B) To run the
watch

- (C) To change
the time

- (D) All of these

**4. When a column is subjected to an eccentric load, the stress induced in the column will be**

- (A) Direct
stress only

- (B) Bending
stress only

- (C) Shear stress
only

- (D) Direct and
bending stress both

**5. Two shafts '**

*A*' and '*B*' are made of same material. The shaft '*A*' is solid and has diameter*D*. The shaft '*B*' is hollow with outer diameter*D*and inner diameter*D*/2. The strength of hollow shaft in torsion is _________ as that of solid shaft.- (A) 1/16

- (B) 1/8

- (C) 1/4

- (D) 15/16

**6. A thick cylindrical shell having**

*r₀*and*r*as outer and inner radii, is subjected to an internal pressure (_{i}*p*). The maximum tangential stress at the inner surface of the shell is- (A)

*[p (r₀² + r*

_{i}²)] / (r₀² - r_{i}²)- (B)

*[p (r₀² - r*

_{i}²)] / (r₀² + r_{i}²)- (C) 2

*pr*

_{i}²/ (r₀² - r_{i}²)- (D)

*(r₀² - r*

_{i}²) / 2pr_{i}²**7. A beam of uniform strength has**

- (A) Same
cross-section throughout the beam

- (B) Same bending
stress at every section

- (C) Same bending
moment at every section

- (D) Same shear
stress at every section

**8. When a circular bar tapering uniformly from diameter**

*d₁*, at one end to diameter*d₂*at the other end, is subjected to an increase in temperature (*t*), then the thermal stress induced is (where*α*= Coefficient of linear expansion, and*E*= Modulus of elasticity for the bar material)- (A)

*α.t.E.d₁/d₂*

- (B)

*α.t.d₁/E.d₂*

- (C)

*α.t.d₂/d₁.E*

- (D)

*d₁.t/ α.E.d₂*

**9. A shaft of diameter**

*D*is subjected to a twisting moment (*T*) and a bending moment (*M*). If the maximum bending stress is equal to maximum shear stress developed, then*M*is equal to- (A)

*T*/2

- (B)

*T*

- (C) 2

*T*

- (D) 4

*T*

**10. The maximum deflection of a fixed beam of length ‘**

*l’*carrying a total load ‘*W’*uniformly distributed over the whole length is

- (A)

*Wl*/48

^{3}*EI*

- (B)

*Wl*/96

^{3}*EI*

- (C)

*Wl*/192

^{3}*EI*

- (D)

*Wl*/384

^{3}*EI*

**11. Factor of safety is defined as the ratio of**

- (A) Ultimate
stress to working stress

- (B) Working
stress to ultimate stress

- (C) Breaking
stress to ultimate stress

- (D) Ultimate
stress to breaking stress

**12. A pressure vessel is said to be a thin shell when the ratio of wall thickness of the vessel to its diameter is __________ 1/10.**

- (A) Equal to

- (B) Less than

- (C) Greater than

- (D) None
of these

**13. The unit of stress in S.I. units is**

- (A) N/mm²

- (B) kN/mm²

- (C) N/m²

- (D) Any one of
these

**14. . A rod is enclosed centrally in a tube and the assembly is tightened by rigid washers. If the assembly is subjected to a compressive load, then**

- (A) Rod is under
compression

- (B) Tube
is under compression

- (C) Both
rod and tube are under compression

- (D) Tube
is under tension and rod is under compression

**15. The load required to produce a unit deflection in a spring is called**

- (A) Flexural
rigidity

- (B) Torsional
rigidity

- (C) Spring
stiffness

- (D) Young's
modulus

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