# Practice Test: Question Set - 04

**1. The load on a spring per unit deflection, is called**

- (A) Stiffness

- (B) Proof
resilience

- (C) Proof
stress

- (D) Proof load

**2. The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is**

- (A) ½

- (B) 1

- (C) 1½

- (D) 2

**3. A compound bar consists of two bars of equal length. Steel bar cross-section is 3500 mm**

^{2 }and that of brass bar is 3000 mm^{2}. These are subjected to a compressive load 100,000 N. If*E*= 0.2 MN/mm_{b}^{2}and*E*= 0.1 MN/mm_{b}^{2}, the stresses developed are:- (A) σ

*= 10 N/mm*

_{b}^{2}, σ

*= 20 N/mm*

_{s}^{2}

- (B) σ

*= 8 N/mm*

_{b}^{2}, σ

*= 16 N/mm*

_{s}^{2}

- (C) σ

*= 6 N/mm*

_{b}^{2}, σ

*= 12 N/mm*

_{s}^{2}

- (D) σ

*= 5 N/mm*

_{b}^{2}, σ

*= 10 N/mm*

_{s}^{2}

**4. A close coil helical spring of mean diameter**

*D*consists of*n*coils of diameter*d*. If it carries an axial load*W*, the energy stored in the spring, is- (A) 4

*WD*

^{2}

*n*/

*d*

^{4}

*N*

- (B) 4

*W*

^{2}

*Dn*/

*d*

^{4}

*N*

- (C) 4

*W*

^{2}

*D*

^{3}

*n*/

*d*

^{4}

*N*

- (D) 4

*W*

^{2}

*D*

^{3}

*n*

^{2}/

*d*

^{4}

*N*

**5. The degree of indeterminacy of the frame in the given figure, is**

- (A) 1

- (B) 2

- (C) 3

- (D) Zero

**6. If normal stresses due to longitudinal and transverse loads on a bar are σ**

_{1}and σ_{2 }respectively, the normal component of the stress on an inclined plane θ° to the longitudinal load, is- (A) σ

_{1}sin θ × σ

_{2}cos θ

- (B) σ

_{1}sin θ

^{2}+ σ

_{2}cos

^{2}θ

- (C) (σ

_{1}- σ

_{2}) sin2θ/2

- (D) (σ

_{1}+ σ

_{2}) sin2θ/2

**7. The moment of inertia of a triangular section (height**

*h*, base*b*) about its base, is- (A)

*bh*

^{2}/12

- (B)

*b*

^{2}

*h*/12

- (C)

*bh*

^{3}/12

- (D)

*b*

^{3}

*h*/12

**8. Shear centre of a half circular section of radius ‘**

*r’*and of constant thickness, lies at a distance of ‘*x’*from the centre where ‘*x’*is- (A) r/π

- (B) 2r/π

- (C) 3r/π

- (D) 4r/π

**9. The assumption in the theory of bending of beams is:**

- (A) Material
is homogeneous

- (B) Material
is isotropic

- (C) Young's
modulus is same in tension as well as in compression

- (D) All
the above

**10. For determining the force in the member**

*AB*of the truss shown in the given figure by method of sections, the section is made to pass through*AB*,*AD*and*ED*and the moments are taken about- (A) Joint

*C*

- (B) Joint

*B*

- (C) Joint

*D*

- (D) Joint

*A*

**11. The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is**

- (A) 1/2

- (B) 2/3

- (C) 1/4

- (D) 1/3

**12. A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm**

^{2}. If the slope at the ends is 0.005 radian and the value of*E*= 0.2 × 10^{6}N/mm^{2}, the depth of the joist, is- (A) 200 mm

- (B) 250 mm

- (C) 300 mm

- (D) 400 mm

**13. The force in**

*EC*of the truss shown in the given figure, is- (A) Zero

- (B) 5

*t*tension

- (C) 5

*t*compression

- (D) 4

*t*tension

**14. The area of the core of a column of cross sectional area**

*A*, is- (A) (1/3)

*A*

- (B) (1/6)

*A*

- (C) (1/12)

*A*

- (D) (1/18)

*A*

**15. If ‘**

*D’*and ‘*d’*are external and internal diameters of a circular shaft respectively, its polar moment of inertia, is- (A) π/2 (

*D*

^{4}-

*d*

^{4})

- (B) π/4 (

*D*

^{4}-

*d*

^{4})

- (C) π/64 (

*D*

^{4}-

*d*

^{4})

- (D) π/32 (

*D*

^{4}-

*d*

^{4})

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