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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).

-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

### Elastic Properties of Solids

• Length (Tensile Stress- Strain)

• Shape (Shear Stress-Strain)

• Volume (Bulk Stress-Strain)

### Elasticity of Length- Characteristics

• Tensile Strain=

Tensile Stress=F/A

### Elasticity in Length

• Tensile Stress = Y x Tensile Strain

• 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

### 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

S is the Shear Modulus,

Unit : N/m2

### 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

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?