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Ch.12: Static Equilibrium and Elasticity

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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Ch.12: Static Equilibrium and Elasticity

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  1. 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

  2. 1) Tension / Compression F F 2) Shear Deformation F 3) Volume Deformation 3 Types of Elasticity:

  3. 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)

  4. 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

  5. S = Shear modulus (depends on the material) 2) Shear Deformation

  6. 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

  7. 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

  8. Ex: Styrofoam cup

  9. 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)

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