MCQ Theory of Structures Practice Tests - Set 06 - ObjectiveBooks

# Practice Test: Question Set - 06

1. The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called
(A) Stiffness
(B) Proof resilience
(C) Proof stress

2. The strain energy due to volumetric strain
(A) Is directly proportional to the volume
(B) Is directly proportional to the square of exerted pressure
(C) Is inversely proportional to Bulk modulus
(D) All the above

3. A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is
(A) L/d
(B) L/2d
(C) (L/2d)2
(D) (L/3d) 2

4. In the truss shown in given figure the force in member DC is

(A) 100 t compressive
(B) 100 t tensile
(C) Zero
(D) Indeterminate

5. A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is
(A) 0.207
(B) 0.307
(C) 0.407
(D) 0.508

6. Pick up the correct statement from the following:
(A) A wire wound in spiral form, is called a helical spring
(B) The pitch of a close coil spring, is very small
(C) The angle made by the coil with horizontal, is called the angle of helix
(D) All the above

7. The ratio of lateral strain to axial strain of a homogeneous material, is known
(A) Yield ratio
(B) Hooke's ratio
(C) Poisson's ratio
(D) Plastic ratio

8. A short column (30 cm × 20 cm) carries a load P1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be
(A) 2/3
(B) 3/2
(C) 8/5
(D) 5/8

9. The force in BF of the truss shown in given figure, is
(A) 4t tension
(B) 4t compression
(C) 4.5t tension
(D) 4.5t compression

10. For beams breadth is constant,
(A) Depth d ∝ M
(B) Depth d ∝ √M
(C) Depth d ∝ 3 √M
(D) Depth d ∝ 1/M

11. A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm2, the bending strain energy stored in the bar, is
(A) 411 N mm
(B) 511 N mm
(C) 611 N mm
(D) 711 N mm

12. Keeping the depth d constant, the width of a cantilever of length l of uniform strength loaded with a uniformly distributed load w varies from zero at the free end and
(A) (2w/Ïƒd2) × l2 at the fixed end
(B) (3w/Ïƒd) × l2 at the fixed end
(C) (3w/Ïƒd2) × l2 at the fixed end
(D) (5w/Ïƒd) × l2 at the fixed end

13. The equivalent length is of a column of length ‘L’ having both the ends fixed, is
(A) 2L
(B) L
(C) L/2
(D) L/√2

14. For calculating the allowable stress of long columns. The empirical formula Ïƒ0 = (Ïƒy/n) (1 - a l/r), is known as
(A) Straight line formula
(B) Parabolic formula
(C) Perry's formula
(D) Rankine's formula

15. The equivalent length of a column of length L having one end fixed and the other end free, is
(A) 2L
(B) L
(C) L/2
(D) L/√2

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