Self Studies

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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    A bar of length L tapers uniformly from diameter 1.1 D at one end to 0.9 D at the other end. The elongation due to axial pull is computed using mean diameter D. What is the approximate error in computed elongation?

  • Question 6
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    The stress-strain curve for an ideally plastic material is 

  • Question 7
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    If a body is stressed within its elastic limit, the lateral strain bears a constant ratio to the linear strain. This constant is known as:

  • Question 8
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    Which point on the stress strain curve occurs after proportionality limit?

  • Question 9
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    A rod of length L and diameter D is subjected to a tensile load P. Which of the following is sufficient to calculate the resulting change in diameter?

  • Question 10
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    A static load is mounted at the centre of a shaft rotating at uniform angular velocity. This shaft will be designed for

  • Question 11
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    Which of the following is a good example of a composite bar?

  • Question 12
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    In which of the following two dimensional state of stress, Mohr’s stress circle takes the shape of a point.

  • Question 13
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    A 1.5 mm thick sheet is subject to unequal biaxial stretching and the true strains in the directions of stretching are 0.05 and 0.09. The final thickness of the sheet in mm is

  • Question 14
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    A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2 m and E = 200 GPa, the elongation of the bar will be:

  • Question 15
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    The ultimate tensile strength of a material is 400 MPa and the elongation up to maximum load is 35%. If the material obeys power law of hardening, then the true stress-true strain relation (stress in MPa) in the plastic deformation range is:

  • Question 16
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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 17
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    An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress is:

  • Question 18
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    A test specimen is stressed slightly beyond the yield point and then unloaded. Its yield strength will

  • Question 19
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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 20
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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 21
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    The deformation of a bar under its own weight as compared to that when subjected to a direct axial load equal to its own weight will be:

  • Question 22
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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 23
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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 24
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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

  • Question 25
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    The phenomenon of slow growth of strain under a steady stress is called:

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