properties of solid stress ,strain and modulus of elasticity questions with solutions

Showing 1–10 of 45 questions

• NumericeasyProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  Two rods of equal length are rigidly connected in parallel. Rod A has area 2 cm² and Young's modulus 200 GPa. Rod B has area 4 cm² and Young's modulus 100 GPa. A total tensile load of 60 kN is applied to the common end plate. If rod A carries N kN, find N.

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• Multi-correcteasyProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  Which statements about stress and strain in solids are correct?

  Select all that apply

  • Option A

    A force acting normally to a cross-section can produce tensile or compressive stress.

  • Option B

    A tangential force produces shear stress.

  • Option C

    Uniform pressure applied from all directions produces bulk or volumetric stress.

  • Option D

    Shear strain is dimensionless.

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• NumericmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  For a simply supported rectangular beam under the same central load and made of the same material, the central depression varies as δ ∝ L³ / [bd³]. The beam length is changed to 3L/2, its width is changed to b/2 and its thickness is changed to 2d. If δ'/δ = N/32, find N.

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• NumericmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  Treat water as slightly compressible with surface density 1000 kg/m³ and bulk modulus 2 GPa. At a depth of 2000 m, take g = 10 m/s² and use the first-order approximation in which the pressure increase is calculated using the surface density. If the density at this depth is N kg/m³, find N.

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• MCQeasyProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A rectangular solid is subjected separately to three kinds of loading. In case I, equal and opposite forces act normally outward on two opposite faces. In case II, equal and opposite forces act normally inward on two opposite faces. In case III, equal and opposite forces act tangentially on two opposite faces. Which statement is correct?

  Options

  • Option A

    Case I produces compressive stress, case II tensile stress and case III bulk stress.

  • Option B

    Case I produces tensile stress, case II compressive stress and case III shear stress.

  • Option C

    Case I produces shear stress, case II tensile stress and case III compressive stress.

  • Option D

    All three cases produce only longitudinal tensile stress.

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• A/RmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  Choose the correct option for the following Assertion (A) and Reason (R).

  Assertion

  In a linearly elastic material loaded gradually, the strain-energy density is equal to one-half the product of stress and the corresponding strain.

  Reason

  During gradual loading in the linear elastic region, stress increases linearly from zero to its final value while strain increases proportionally.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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• NumericeasyProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A homogeneous isotropic material has Young's modulus 90 GPa and Poisson ratio 0.25. If its bulk modulus is N GPa, find N.

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• MCQmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A steel cable has breaking stress σ(breaking) and is required to carry a maximum working load W with factor of safety n. Neglect the weight of the cable. What is the minimum cross-sectional area required?

  Options

  • Option A

    W / [nσ(breaking)]

  • Option B

    nW / σ(breaking)

  • Option C

    nσ(breaking) / W

  • Option D

    Wσ(breaking) / n

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• NumericeasyProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A homogeneous isotropic material has Young's modulus 120 GPa and Poisson ratio 0.20. If its shear modulus is N GPa, find N.

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• MCQmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A uniform wire of density ρ and breaking stress σ(breaking) hangs vertically under its own weight. No additional mass is attached. Neglect variation of g. What is the maximum possible length of the wire that can hang without breaking?

  Options

  • Option A

    σ(breaking) / [ρg]

  • Option B

    2σ(breaking) / [ρg]

  • Option C

    σ(breaking) / [2ρg]

  • Option D

    ρg / σ(breaking)

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