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PHY2048_10-30-09

# PHY2048_10-30-09 - Indeterminate Structures For the...

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, , , For the problems in this chapter we have the following three equations at our disposal: 0 0 0 If th Indeterminate e problem has Structures. more than three unknowns we c a net x net y net z F F τ = = = nnot solve it We can solve a statics problem for a table with three legs but not for one with four legs. Problems like these are ca indetermi lled nate An example is given in the figure. A big elephant sits on a wobly table. If the table does not collapse it will deform so that all four legs touch the floor. The upward forces exerted on the legs by the floor assume definite and different values. How can we calculate the values of these forces? To solve such an indeterminate equilibrium problem we must supplement the three equilibrium equations with some knowledge of , the branch of physics and engineering that describes how real bodies deform when forces are applied elastic to t ity hem. (12-13)

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Metallic solids consist of a large number of atoms positioned on a regular three-dimensional lattice as hown in the figure. The lattice is repetition of a pattern (in the figure thi Elasti s pat city
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