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AP1200_Ch1_Mechanics-4Equilibrium-2008

# AP1200_Ch1_Mechanics-4Equilibrium-2008 - AP1200 1 Mechanics...

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1 AP1200 – 1. Mechanics Concepts AP1200 – 1. Mechanics Concepts 1.4 Equilibrium 1.4 Equilibrium Michel A. Van Hove Michel A. Van Hove WARNING: PRINTING THIS DOCUMENT WILL USE MUCH INK AND WILL NOT SHOW ANIMATIONS.

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2 Equilibrium: avoid collapse! Equilibrium: avoid collapse! Forth Bridge Scotland (1890) 7
3 Equilibrium Equilibrium A body in equilibrium has no acceleration: no linear acceleration no angular acceleration A body is in equilibrium if forces are balanced : there is no net force (so no linear acceleration) there is no net torque (so no angular acceleration) compression extension 8

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4 Equilibrium: dams Equilibrium: dams imagine yourself being a piece of the structure: - what forces would act on you and - what forces would you exert on your surroundings? 9
5 Equilibrium: tunnels Equilibrium: tunnels 7

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6 Equilibrium: arch bridge Equilibrium: arch bridge compression 9
7 Principle of cantilever bridge Principle of cantilever bridge compression extension extension at ends!

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8 50 th anniversary 1987/05/24 Suspension bridge: Golden Gate Bridge Suspension bridge: Golden Gate Bridge 6 compression extension
9 Equilibrium: a simple bar Equilibrium: a simple bar F ceiling A B Assume: - equilibrium: no motion despite forces - bar and ceiling are rigid What is the force on/from the ceiling due to the weight F ? F 1 F 2 F 3 Point A is in equilibrium: - balance F 1 = - F String AB is in equilibrium: - balance F 2 = - F 1 = F Point B is in equilibrium: - balance F 3 = - F 2 = - F action due to weight reaction due to ceiling 7 imagine this bar is you: what would you feel?

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10 atoms F atom- atom bonds Equilibrium: how does a bar transmit a force? Equilibrium: how does a bar transmit a force? F ceiling A B F 1 F 2 F 3 extension of bonds transmits force for equilibrium Extension of bonds: elasticity of material 6
11 no compression when lying? so elongation? atoms atom- atom bonds Equilibrium: how does a body support a Equilibrium: how does a body support a weight?

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