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

Showing 1–10 of 45 questions

• 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.

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• NumericmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  One litre of water is subjected to an additional uniform pressure of 20 MPa. The bulk modulus of water is 2 GPa. If the decrease in volume is N mL, find N. Assume the compression is small.

  Your answer

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• Multi-correctmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A uniform linearly elastic wire of length L, area A and Young's modulus Y is stretched gradually from zero force to a final tensile force F. Which statements are correct?

  Select all that apply

  • Option A

    Elastic strain energy stored is ½FΔL.

  • Option B

    Elastic strain energy stored is F²L / [2AY].

  • Option C

    Strain-energy density is ½σε.

  • Option D

    The area under the linear stress-strain graph up to the working strain represents elastic energy per unit volume.

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• NumericmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A uniform elastic rod of density 8000 kg/m³, natural length 1 m and Young's modulus 2 × 10¹¹ Pa rotates in a horizontal plane about one end with angular speed 150 rad/s. If its elongation is N/10 mm, find N.

  Your answer

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• MCQmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  For a simply supported rectangular beam carrying the same central load, the central depression varies as δ ∝ L³ / [Ybd³], where L is beam length, b is width and d is thickness in the bending direction. If both L and d are doubled while material, width and load remain unchanged, what is the new depression?

  Options

  • Option A

    δ/8

  • Option B

    δ/2

  • Option C

    δ

  • Option D

    2δ

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• NumericmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A uniform rod of volume 2 × 10⁻⁴ m³ is under a uniform tensile stress of 100 MPa. The corresponding longitudinal strain is 5 × 10⁻⁴. Assuming linear elastic behaviour, the total elastic strain energy stored is N J. Find N.

  Your answer

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• NumericmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A steel rod of length 10 m, density 8000 kg/m³ and Young's modulus 2 × 10¹¹ Pa hangs vertically from its upper end. Take g = 10 m/s². If its elongation due to its own weight is N × 10⁻² mm, find N.

  Your answer

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• NumericmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A composite rod has three segments connected in series. Segment 1 has length 1 m, area 2 cm² and Young's modulus 2 × 10¹¹ Pa. Segment 2 has length 2 m, area 1 cm² and Young's modulus 1 × 10¹¹ Pa. Segment 3 has length 1 m, area 2 cm² and Young's modulus 1 × 10¹¹ Pa. A tensile force of 40 kN is applied. If the total extension is N mm, find N.

  Your answer

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• NumericmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A thin elastic circular ring of radius 1 m is made from a material of density 8000 kg/m³ and Young's modulus 2 × 10¹¹ Pa. It rotates in its own plane with angular speed 50 rad/s. If its circumferential strain is N × 10⁻⁴, find N.

  Your answer

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →
• Multi-correctmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  For a homogeneous isotropic elastic solid, which relations or limiting statements are correct?

  Select all that apply

  • Option A

    Y = 2G(1+ν)

  • Option B

    Y = 3K(1-2ν)

  • Option C

    Y = 9KG / [3K+G]

  • Option D

    For an ideal incompressible elastic material, ν approaches 1/2.

  Check answerShow answer

  JEE MainsNEETJEE Advanced

  Open question & full solution →