Theory of Structures Questions Answers - Set 05 - ObjectiveBooks

# 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) Ï€
(B) Ï€/2
(C) Ï€/3
(D) Ï€/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/mm2 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 Î¸° to the direction of the force, will be equal if Î¸ 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) wl3/3EI
(B) wl4/3EI
(C) wl4/8EI
(D) wl4/12EI

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/mm2), 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 × 105 N/mm2) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm2, 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 BDCD 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 fs the ratio of inner diameter to outer diameter, is 17/64 (fs/N)
(A) 1/2
(B) 1/3
(C) 1/4
(D) 1/5

12. If Î£H and Î£V are the algebraic sums of the forces resolved horizontally and vertically respectively, and Î£M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon
(A) Î£H = 0
(B) Î£V = 0
(C) Î£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 Î±steel = 0.000012/C°, Esteel = 0.2 MN/mm2, the tensile force developed at a temperature of 50°C, is
(A) 80 N/mm2
(B) 100 N/mm2
(C) 120 N/mm2
(D) 150 N/mm2

15. P = Ï€2 EI/4L2 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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