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Ch.12: Static Equilibrium and Elasticity. ( Forces and Torques are balanced AND Deformation due to applied stress). *All materials become distorted when squeezed or stretched with enough force. 1) Tension / Compression. F. F. 2) Shear Deformation. F. 3) Volume Deformation.

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slide1

Ch.12: Static Equilibrium and Elasticity

(Forces and Torques are balanced AND Deformation due to applied stress)

*All materials become distorted when squeezed or stretched with enough force

slide2

1) Tension / Compression

F

F

2) Shear Deformation

F

3) Volume Deformation

3 Types of Elasticity:

slide3

F

L

A = area  to applied force

Y = Young’s modulus

(depends on the material)

1) Tension / Compression

A

L0

*The same equation holds for compression (L = decrease in length)

slide4

If he is lifting a total of 500 lbs, and his forearms are each .30 m long with cross sectional bone area of 6.0 x 10-4 m2, by how much does each bone compress?

  • By how much does each bone stretch if he suspends the same weight with his arms hanging downward?

Ex: Weightlifter

slide5

S = Shear modulus

(depends on the material)

2) Shear Deformation

slide6

Ex: Jello

6.0 mm

.07m

When a shear force of .45 N is applied

.07m

.03m

Use this information to find the shear modulus of jello

slide7

V = change in volume

change in pressure

V0 = initial volume

B = Bulk modulus

(depends on the material)

3) Volume Deformation

*SI unit = N/m2 = 1 Pascal

slide9

Stretching:

Shearing:

Volume:

Another form of Hooke’s Law

Stress

Strain

The formulas for all 3 types of elasticity can be arranged to look very similar……

*Applies only up to the elastic limit (then it breaks)