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Civil Engineering :: Theory of Structures

  1. If D and d are external and internal diameters of a circular shaft respectively, its polar moment of inertia, is

  2. A.

    \(\frac { n } { 2 } \) \((D^4-d^4)\)

    B.

    \(\frac { n } { 4} \)\((D^4-d^4)\)

    C.

    \(\frac { n } { 64 } \) \((D^4-d^4)\)

    D.

    \(\frac { n } { 32 } \)\((D^4-d^4)\)


  3. 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

  4. A.

    411 N mm

    B.

    511 N mm

    C.

    611 Nmm

    D.
    711 N mm

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  5. The deflection curve for the portal frame shown in the given figure is


  6. A close coil helical spring when subjected to a moment M having its axis along the axis of the helix

  7. A.

    it is subjected to pure bending

    B.

    its mean diameter will decrease

    C.

    its number of coils will increase

    D.

    all the above.

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  8. For beams breadth is constant,

  9. A.

    depth d ∝ M

    B.

    depth d ∝\( \sqrt{M}\)

    C.

    depth d ∝ 3\( \sqrt{M}\)

    D.

    depth d ∝ \( \frac { 1 } { M } \)

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  10. A body is said to be in equilibrium if

  11. A.

    it moves horizontally

    B.

    it moves vertically

    C.

    it rotates about its C.G.

    D.

    none of these.

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  12. Keeping breadth constant, depth of a cantilever of length l of uniform strength loaded with uniformly distributed load w varies from zero at the free end and

  13. A.

    at the fixed end

    B.

    C.

    D.

     at the fixed end


  14. The force in CD of the truss shown in given figure, is 

  15. A.

    3t compression

    B.

    3t tension

    C.

    zero

    D.

    1.5t compression

    E.

    1.5t tension


  16. 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

  17. A.

    \( \frac { eI } { 2 d} \)

    B.

    \( \frac { e^2I } { 3 d^2} \)

    C.

    \( \frac { eI ^2} { 3 d^2} \)

    D.

    \( \frac { eI1/ ^2} { 3 d^2} \)


  18. The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is

  19. A.

    \( \frac { 1 } { 4 } \)

    B.

    \( \frac { 1 } { 2 } \)

    C.

    1

    D.

    2

    E.

    3