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-Elastic Properties of Solids

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-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

- Length (Tensile Stress- Strain)
- Shape (Shear Stress-Strain)
- Volume (Bulk Stress-Strain)

- Tensile Strain=

Tensile Stress=F/A

- Tensile Stress = Y x Tensile Strain
- Y is known as Young’s Modulus
- Units of Y are N/m2

- Tensile Strength Sample

- 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

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

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

S is the Shear Modulus,

Unit : N/m2

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

b)Determine the shearing force necessary punch a 1.00cm diameter hole in a steel plate 0.500cm thick.

Ans: b) 6.28x104 N

B is the Bulk Modulus

Unit: N/m2

- Note that ΔF/A is pressure.

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

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