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Civil Engineering :: Theory of Structures

  1.  

    In plastic analysis, the shape factor for rectangular section, is

  2. A.

    1.4

    B.

    1.5

    C.

    1.6

    D.

    1.7

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

  4. A.

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

    B.

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

    C.

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

    D.

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

    E.

    \(\frac { L } { 8}\)


  5. Pick up the correct statement from the following:

  6. A.

    Hoop strain of the walls of a cylinder due to liquid is \(\frac { Pd } { 2 tE} \) [ 1 - \(\frac { 1 } { 2 m} \)]

    B.

    Longitudinal strain in the walls of a cylinder due to liquid is \(\frac { Pd } { 2 tE} \)\(\frac { 1 } { 2 } \)-\(\frac { 1 } { m} \)]

    C.

    Volumetric change in the cylinderdue to liquid is \(\frac { Pd } { 2 tE} \)\(\frac { 5} { 2 } \)-\(\frac { 2} { m} \)]

    D.

    All the above.


  7. A material may fail if

  8. A.

    maximum principal stress exceeds the direct stress σ0

    B.

    maximum strain exceeds\( \frac { σ0 } { E} \)

    C.

    maximum shear stress exceeds\( \frac { σ0 } { 2} \)

    D.
      total strain energy exceeds \( \frac { σ0 ^2} { 2E} \) x volume
    E.

    all the above.


  9. A truss containing j joints and m members, will be a simple truss if

  10. A.

    m = 2j - 3

    B.

    j = 2m - 3

    C.

    m = 3j - 2

    D.

    j = 3m - 2


  11. The stiffness of the close coil helical spring is

  12. A.

    \( \frac { d^2N } { 8D^3n } \)

    B.

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

    C.

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

    D.

    \( \frac { 8D^3N } { d^4n } \)


  13. If ENK and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

  14. A.

    E = 3k [ 1-\( \frac { 2} { m} \)]

    B.

    E = 2N [ 1+\( \frac { 1} { m} \)]

    C.

    \( \frac {3 } { 2 } \) K (1-2/m)= N [ 1+\( \frac { 1} { m} \)]

    D.

    all the above.


  15. The ratio of maximum shear stress to average shear stress of a circular beam, is

  16. A.

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

    B.

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

    C.

    \( \frac {3 } { 4}\)

    D.

    \( \frac {4 } {3}\)


  17. A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,

  18. A.

    10 m

    B.

    12 m

    C.

    14 m

    D.

    16 m

    E.

    18 m

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  19. A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If Esteel = 2 x 106 kg/cm2, the side of the rod, is

  20. A.

    1 cm

    B.

    1.5 cm

    C.

    2 cm

    D.

    2.5 cm

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