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Civil Engineering :: Theory of Structures

  1. 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

  2. A.
    25 N
    B.

    30 N

    C.

    35 N

    D.
    40 N

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  3. A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

  4. A.

    \(\frac { M} { T } \)

    B.

     \(\frac { T} { M } \)

    C.

    \(\frac { 2M} { T } \)

    D.

    \(\frac { 2T} {M } \)


  5. The ratio of the deflections of the free end of a cantilever due to an isolated load at l/3rd and 2/3rd of the span, is

  6. A.

    \( \frac { 1 } {7 } \)

    B.

    \( \frac { 2 } {7 } \)

    C.

    \( \frac {3 } {7 } \)

    D.

    \( \frac {2 } {5 } \)


  7.  

    If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

  8. A.

    Q = S + F

    B.

    Q = S - F

    C.

    Q = F - SQ = S x F

    D.

    Q = S x F

    E.

    Q = \( \frac { S } { F } \)


  9. In plastic analysis, the shape factor for a triangular section, is

  10. A.

    1.5

    B.

    1.34

    C.

    2.34

    D.

    2.5

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  11. Pick up the correct statement from the following:

  12. A.

    The point of intersection of the bending axis with the cross section of the beam, is called shear centre

    B.

    For I sections, the shear centre coincides with the centroid of the cross section of the beam

    C.

    For channels, the shear centre does not concide its centroid

    D.

    Bending loads should pass through the shear centre to avoid twisting

    E.

    All the above.

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  13. Pick up the correct statement from the following:

  14. A.

    The bending moment which when acting alone would produce the maximum stress equal to the major principal stress caused by combined bending and torsion, is called equivalent bending moment

    B.

    Mcg = (M \( \sqrt{ M^2+I^2}\))where letters carry their usual meanings

    C.

    Tcp = \( \sqrt{ M^2+T^2}\) where letters carry their usual meanings

    D.

    The torque which when acting alone would produce maximum shear stress equal to the maximum shear stress caused by the combined bending and torsion, is called equivalent torque

    E.

    All the above.


  15.  

    If ΣH and ΣV are the algebraic sums of the forces resolved horizontally and vertically respectively, and ΣM is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon

  16. A.

    ΣH = 0

    B.

    ΣV = 0

    C.

    ΣM = 0

    D.

    all the above.

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  17. For determining the support reactions at A and B of a three hinged arch, points B and C are joined and produced to intersect the load line at D and a line parallel to the load line through A at D'. Distances ADDD' and AD' when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

  18. A.

    30°

    B.

    45°

    C.

    60°

    D.

    90°

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  19. For determining the support reactions at A and B of a three hinged arch, points B and C are joined and produced to intersect the load line at D and a line parallel to the load line through A at D'. Distances ADDD' and AD' when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

  20. A.

    30°

    B.

    45°

    C.

    60°

    D.

    90°

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