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# -Elastic Properties of Solids - PowerPoint PPT Presentation

-Elastic Properties of Solids . AP Physics C Mrs. Coyle. 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).

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### -Elastic Properties of Solids

AP Physics C

Mrs. Coyle

Elastic Properties of Solids influence of an external force.

• Length (Tensile Stress- Strain)

• Shape (Shear Stress-Strain)

• Volume (Bulk Stress-Strain)

Elasticity of Length- Characteristics influence of an external force.

• Tensile Strain=

Tensile Stress=F/A

Elasticity in Length influence of an external force.

• Tensile Stress = Y x Tensile Strain

• Y is known as Young’s Modulus

• Units of Y are N/m2

Tensile Strength Test influence of an external force.

• Tensile Strength Sample

Ex: #30 influence of an external force.

• 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 - influence of an external force.Shear Stress= F / A

Example: Shear Stress influence of an external force.

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

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

Shear Stress and Shear Strainhttp://www.fema.gov/plan/prevent/earthquake/fema74/chapter2_2.shtm

S is the Shear Modulus,

Unit : N/m2

Ex: #33http://www.fema.gov/plan/prevent/earthquake/fema74/chapter2_2.shtm

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

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

B is the Bulk Modulus

Unit: N/m2

• Note that http://www.fema.gov/plan/prevent/earthquake/fema74/chapter2_2.shtmΔF/A is pressure.

Ex:#35http://www.fema.gov/plan/prevent/earthquake/fema74/chapter2_2.shtm

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

• How is http://www.fema.gov/plan/prevent/earthquake/fema74/chapter2_2.shtmΔL affected when you have two same springs in series or in parallel pulled by the same force?