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Civil Engineering :: Theory of Structures

  1. The ratio of maximum and average shear stresses on a rectangular section, is

  2. A.
    1
    B.

    1.25

    C.

    1.5

    D.

    2.0

    E.

    2.5

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  3. The locus of the moment of inertia about inclined axes to the principal axis, is

  4. A.

    straight line

    B.
    parabola
    C.

    circle

    D.

    ellipse.

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  5. A lift of weight W is lifted by a rope with an acceleration f. If the area of cross-section of the rope is A, the stress in the rope is

  6. A.

    \([ 1+\frac { f} { G } ]I A\)

    B.

    \([ 1-\frac { g} { f } ]I A\)

    C.

    \([2+\frac { f} { G } ]I A\)

    D.

     W \([2+\frac { g} { f } ]I A\)


  7.  

    A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

  8. A.

    \( \frac { 4wD^2n } { d^4N} \)

    B.

    \( \frac { 4w^2Dn } { d^4N} \)

    C.

    \( \frac { 4w^2D^3n } { d^4N} \)

    D.

    \( \frac { 4w^2D^3n^2 } { d^4N} \)


  9. A simply supported beam A carries a point load at its midspan. An other identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be

  10. A.

    \( \frac { 2 } { 3 } \)

    B.

    \( \frac { 3 } { 2 } \)

    C.

    \( \frac { 5 } { 8 } \)

    D.

    \( \frac { 8 } { 5 } \)


  11. The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span ; flexural rigidity being EI, is

  12. A.

    \( \frac { WL^3 } { 3EL }\)

    B.

    \( \frac { EL^3 } { 8EL }\)

    C.

    \( \frac { WL^3 } { 24EL }\)

    D.

    \( \frac { WL^3 } { 48EL }\)


  13. The strain energy due to volumetric strain

  14. 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.

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  15. 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\( \frac { 17 } { 64} \)\(\frac { fs } { N } \)

  16. A.

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

    B.

    \(\frac { 1 } { 3 } \)

    C.

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

    D.

    \(\frac { 1 } { 5 } \)


  17. m1 and m2 are the members of two individual simple trusses of a compound truss. The compound truss will be rigid and determinate if

  18. A.

    m = m1 + m2

    B.

    m = m1 + m2 + 1

    C.

    m = m1 + m2 + 2

    D.

    m = m1 + m2 + 3

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  19. In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

  20. A.

    \(\frac { L } { 2 } \)

    B.

    \(\frac { L } { 3} \)

    C.

    \(\frac { L } { 4 } \)

    D.

    \(\frac { L } { 5 } \)

    E.

    none of these.