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Strength of Mat...

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  • Question 1
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    If the length of a column subjected to compressive load is increased by three times its original length, the critical buckling load becomes

  • Question 2
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    In a thin cylindrical shell (d/t) ratio is 50. It is subjected to an internal fluid pressure of 2.5 MPa. What is the maximum hoop tension developed in the cylinder?

  • Question 3
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    Two steel rods of identical length and material properties are subjected to equal axial loads. The first rod is solid with diameter d and the second is a hollow one with external diameter D and internal diameter 50% of D. If the two rods experience equal extensions, the ratio of \(\frac{d}{D}\) is

  • Question 4
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    Match the following.

    1) ductile materials

    a) in a Tension test

    c) Shear failure

    f) Fails in cup and cone structure

    2) brittle materials

    b) in Compression test

    d) Tensile failure

    g) Fails in a plane perpendicular to the loading direction

    e) Fails in buckling

    h) Fails in a plane 45° to the loading direction

  • Question 5
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    Consider a hollow shaft of external diameter 100 mm and internal diameter 50 mm. At what value of constant angular velocity (rad/sec) shaft is to be rotate so that it transmit 4000 kW of power and the maximum allowable stress in the shaft material is not to be exceed 70 Mpa.

  • Question 6
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    A spherical pressure vessel (made of mild steel) of internal diameter 500 mm and thickness 10 mm is subjected to an internal gauge pressure of 4000 kPa. If the yield stress of mild steel is 200 MPa, the factor of safety (up to one decimal place) is ______

  • Question 7
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    A sphere of diameter 50 mm lies at a depth of 750 m in seawater. The bulk modulus of the sphere is 200 GPa. If the specific weight of seawater is 10.3 KN/m3, the change in the volume in mm3 of the sphere is _______.

  • Question 8
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    An unspecified pure bending moment is used to bend an Al rod of radius 2.5 mm elastically. It bent into a circular ring of radius of 2 m. If the same bending moment is used to bend elastically a Cu rod of radius 2 mm, the radius of resulting ring (in m) is_________ if EAl = 70 GPa, ECu = 120 GPa

  • Question 9
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    A thin tyre of steel is to be shrunk on to a rigid wheel of 800 mm diameter. Compute the least temperature to which the tyre must be heated above that of the wheel before it could be slipped on.

    [Hoop stress = 120 MPa, α = 12 × 10-6/℃, E = 210 GPa]

  • Question 10
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    A thin rectangular plate is subjected to loading as a result of which the strains developed in the x and y directions are ϵx = 500 × 10-6 and ϵy = 250 × 10-6 respectively. If the magnitude of plate dimensions along x-axis and y-axis is 6m and 4m respectively, then the stretch in the diagonal of the plate as a result of loading is ________mm

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