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Understanding Static Equilibrium and Stress/Strain - Examples and Calculations

Explore conditions for equilibrium, the center of gravity concept, and examples of static equilibrium situations. Calculate stress and strain scenarios including determining the center of gravity and shear modulus for various materials.

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Understanding Static Equilibrium and Stress/Strain - Examples and Calculations

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  1. 12 Static Equilibrium and Elasticity • Conditions for Equilibrium • The Center of Gravity • Some Examples of Static Equilibrium • Stress and Strain • (accelerated frame, indeterminate) • Hk: 19, 21, 23, 31, 33, 41.

  2. Conditions for Equilibrium

  3. Center of Gravity, cg • center of gravity: the average location of weight

  4. 12-3Some Examples of Static Equilibrium

  5. Q: A 70kg student lies along a board with a fulcrum at one end and a scale 2.0m away at the other end. The top of his head is directly above the fulcrum. When he is on the board as described the scale reading is 250N more than when he is off the board. Where is the cg of the student?

  6. Stress and Strain

  7. Q: What % shortening of a 50cm diameter concrete pillar occurs when a 20 000 kg truck is balanced on top of it? What is the maximum load in kg?

  8. A cube 50cm per side suffers shear strain of 1% when a shear force of 10 000N is applied along two opposite faces. What is the shear modulus of this material?

  9. End

  10. normal force on wheel  0

  11. Summary

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