Information about elastic properties of solids

About elastic properties of solids

• Real objects are not rigid but can deform under the influence of an external force. • Remember: Hooke’s Law F=-kx

Elastic Properties of Solids • Length (Tensile Stress- Strain) • Shape (Shear Stress-Strain) • Volume (Bulk Stress-Strain)

Elasticity of Length- Characteristics • ∆L Tensile Strain= L Tensile Stress=F/A

Elasticity in Length • Tensile Stress = Y x Tensile Strain F ∆L =Y A L • Y is known as Young’s Modulus • Units of Y are N/m2

Tensile Strength Test • Tensile Strength Sample

Ex: #30 • A steel wire of diameter 1mm can support a tension of 0.2kN. A cable to support a tension of 20kN should have a diameter of what order of magnitude? • Ans: 1cm

Elasticity in Shape - Shear Stress= F / A

Example: Shear Stress http://www.fema.gov/plan/prevent/earthquake/fema74/chapter2_2.shtm

http://www.fema.gov/plan/prevent/earthquake/fema74/chapter2_2.shtm

Shear Stress and Shear Strain F ∆x =S A h S is the Shear Modulus, Unit : N/m 2

Ex: #33 If the shear stress in steel exceeds 4.00x108 N/m2 the steel ruptures. a)Determine the shearing force necessary to shear a steel bolt 1.00cm in diameter. Ans: a) 3.14x104 N

Ex: #33 cont’d b)Determine the shearing force necessary punch a 1.00cm diameter hole in a steel plate 0.500cm thick. Ans: b) 6.28x104 N

Elasticity in Volume ∆F ∆V = −B A V B is the Bulk Modulus Unit: N/m2

• Note that ΔF/A is pressure.

Ex:#35 When water freezes, it expands by about 9%. What pressure increase would occur inside your automobile engine block if the water in it froze? (The bulk modulus of ice is 2.00x109 N/m2 ) Ans: 1.65 x 108 N/m2

Explaining the inertia ball tensions.

• How is ΔL affected when you have two same springs in series or in parallel pulled by the same force?

Sound Propagation in Elastic Materials. In the previous pages, it was pointed out that sound waves propagate due to the vibrations or oscillatory motions ...

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Elastic properties of solids Page 2 of 8 the solid restores its initial length and shape after the external force is removed. Elastic limit, or

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A-Level physics revision notes covering elastic properties of solids under stress.

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Moises Levy - Handbook of Elastic Properties of Solids, Liquids, and Gases, Four-Volume Set jetzt kaufen. ISBN: 9780124457607, Fremdsprachige Bücher ...

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A-Level Physics Revision Science section covering elastic properties of solids under stress.

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JOURNAL OF THE MECHANICS AND PHYSIC5 OF SOLIDS Journal of the Mechanics and Physics of Solids PERCAMON 50 (7002) 33 55 www.elsevier.com~locate~jmps

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Elastic properties of solids Elastic properties of solids are described by Hook´s law E ; where is the applied stress [N/cm²] and εthe resulting ...

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Handbook of Elastic Properties of Solids, Liquids, ... links to the latest Table of Contents, and subscription information for all 174 AP Journals:

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Table of Contents Volume 1 | Volume 2 | Volume 3 | Volume 4. Volume 3: Elastic Properties of Solids: Biological and Organic ...

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Chapter 16: Elastic Solids Chapter 16: Elastic Solids ... The infinitesimal strain has several useful properties. First, infinitesimal strains

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