# Practice Test: Question Set - 05

**1. A concentrated load**

*P*is supported by the free end of a quadrantal ring*AB*whose end*B*is fixed. The ratio of the vertical to horizontal deflections of the end*A*, is- (A)

*π*

- (B)

*π*/2

- (C)

*π*/3

- (D)

*π*/4

**2. The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is**

- (A) 1

- (B) 2

- (C) 3

- (D) 4

**3. A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm**

^{2}is:- (A) 4.0 mm

- (B) 4.5 mm

- (C) 5.0 mm

- (D) 5.5 mm

**4. The normal and tangential components of stress on an inclined plane through θ° to the direction of the force, will be equal if θ is**

- (A) 45°

- (B) 30°

- (C) 60°

- (D) 90°

**5. The maximum deflection due to a uniformly distributed load**

*w*/unit length over entire span of a cantilever of length*l*and of flexural rigidly*EI*, is- (A)

*wl*/3

^{3}*EI*

- (B)

*wl*/3

^{4}*EI*

- (C)

*wl*/8

^{4}*EI*

- (D)

*wl*/12

^{4}*EI*

**6. The forces acting normally on the cross section of a bar shown in the given figure introduce**

- (A) Compressive
stress

- (B) Tensile
stress

- (C) Shear stress

- (D) None of
these

**7. A spring of mean radius 40 mm contains 8 action coils of steel (**

*N*= 80000 N/mm^{2}), 4 mm in diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is- (A) 25 N

- (B) 30 N

- (C) 35 N

- (D) 40 N

**8. A compound truss may be formed by connecting two simple rigid frames, by**

- (A) Two bars

- (B) Three bars

- (C) Three
parallel bars

- (D) Three
bars intersecting at a point

**9. If a solid shaft (diameter 20 cm, length 400 cm,**

*N*= 0.8 × 10^{5}N/mm^{2}) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm^{2}, the angle of twist in radians, is- (A) 0.001

- (B) 0.002

- (C) 0.0025

- (D) 0.003

**10. To determine the force in**

*BD*of the truss shown in the given figure a section is passed through*BD*,*CD*and*CE*, and the moments are taken about- (A)

*A*joint

- (B)

*B*joint

- (C)

*C*joint

- (D)

*D*joint

**11. If the strain energy stored per unit volume in a hollow shaft subjected to a pure torque when**

*t*attains maximum shear stress*f*the ratio of inner diameter to outer diameter, is 17/64 (f_{s}_{s}/N)- (A) 1/2

- (B) 1/3

- (C) 1/4

- (D) 1/5

**12. If Σ**

*H*and Σ*V*are the algebraic sums of the forces resolved horizontally and vertically respectively, and Σ*M*is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon- (A) Σ

*H*= 0

- (B) Σ

*V*= 0

- (C) Σ

*M*= 0

- (D) All
the above

**13. The eccentricity (**

*e*) of a hollow circular column, external diameter 25 cm, internal diameter 15 cm for an eccentric load 100*t*for non-development of tension, is- (A) 2.75 cm

- (B) 3.00 cm

- (C) 3.50 cm

- (D) 4.25 cm

**14. A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If**

*α*= 0.000012/C°,_{steel}*E*= 0.2 MN/mm_{steel}^{2}, the tensile force developed at a temperature of 50°C, is- (A) 80 N/mm

^{2}

- (B) 100 N/mm

^{2}

- (C) 120 N/mm

^{2}

- (D) 150 N/mm

^{2}

**15.**

*P*=*π*^{2}*EI*/4*L*^{2}is the equation of Euler's crippling load, if- (A) Both the
ends are fixed

- (B) Both the
ends are hinged

- (C) One end is
fixed and other end is free

- (D) One end is
fixed and other end is hinged

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