# Practice Test: Question Set - 10

**1. For determining the support reactions at**

*A*and*B*of a three hinged arch, points*B*and*C*are joined and produced to intersect the load line at*D*and a line parallel to the load line through*A*at*D*'. Distances*AD*,*DD*' and*AD*' when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at*A*and*B*is- (A) 30°

- (B) 45°

- (C) 60°

- (D) 90°

**2. The deflection of a uniform circular bar of diameter d and length ‘**

*l’*, which extends by an amount ‘*e’*under a tensile pull ‘*W’*, when it carries the same load at its mid-span, is- (A)

*el*/2

*d*

- (B)

*e*

^{2}

*l*/3

*d*

^{2}

- (C)

*el*

^{2}/3

*d*

^{2}

- (D)

*e*

^{2}

*l*

^{2}/3

*d*

^{2}

**3. The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load**

*W*at its free end, is- (A) 1/8

- (B) 1/10

- (C) 1/12

- (D) 1/16

**4. The radius of gyration of a rectangular section (depth**

*D*, width*B*) from a centroidal axis parallel to the width is- (A)

*D*/2

- (B)

*D*/√3

- (C)

*D*/2√3

- (D)

*D*/4√3

**5. A square column carries a load**

*P*at the centroid of one of the quarters of the square. If*a*is the side of the main square, the combined bending stress will be- (A)

*p*/

*a*

^{2}

- (B) 2

*p*/

*a*

^{2}

- (C) 3

*p*/

*a*

^{2}

- (D) 4

*p*/

*a*

^{2}

**6. The moment of inertia of a rectangular section of width ‘**

*B’*and depth ‘*D’*about an axis passing through*C.G.*and parallel to its width is- (A)

*BD*

^{2}/6

- (B)

*BD*

^{3}/6

- (C)

*BD*

^{3}/12

- (D)

*B*

^{2}

*D*/6

**7. The normal component of a force inclined through θ° is obtained by multiplying the force by**

- (A) sin θ

- (B) cos θ

- (C) tan θ

- (D) sin θ. cos θ

**8. The ratio of the section modulus of a square section of side**

*B*and that of a circular section of diameter*D*, is- (A) 2

*π*/15

- (B) 3

*π*/16

- (C) 3

*π*/8

- (D)

*π*/16

**9. A material may fail if**

- (A) Maximum
principal stress exceeds the direct stress σ

_{0}

- (B) Maximum
strain exceeds

*σ*/

_{0}*E*

- (C) Maximum
shear stress exceeds

*σ*/2

_{0}- (D) All the
above

**10. The ratio of tangential and normal components of a stress on an inclined plane through θ° to the direction of the force is:**

- (A) sin θ

- (B) cos θ

- (C) tan θ

- (D) cot θ

**11. A shaft is subjected to bending moment**

*M*and a torque*T*simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is- (A)

*M*/

*T*

- (B)

*T*/

*M*

- (C) 2

*M*/

*T*

- (D) 2

*T*/

*M*

**12. The maximum height of a masonry dam of a triangular section whose base width is**

*b*and specific gravity*s*, is- (A)

*b √s*

- (B)

*b.s*

- (C)

*√(bs)*

- (D)

*s*√

*b*

**13. A bar of square section of area**

*a*^{2}is held such that its one of its diameters is vertical. The maximum shear stress will develop at a depth*h*where*h*is- (A) 2√3/4

- (B) 3√2/4

- (C) 2/√3

- (D) √3/4

**14. A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 10**

^{6}N/mm^{2}, the deflection of the free end, is- (A) 2 mm

- (B) 3 mm

- (C) 4 mm

- (D) 5 mm

**15. The locus of reaction of a two hinged semi-circular arch, is**

- (A) Straight
line

- (B) Parabola

- (C) Circle

- (D) Hyperbola

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