,
,
,
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.
(1213)
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Metallic solids consist of a large number of atoms
positioned on a regular threedimensional 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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 Fall '09
 MUELLER
 Shear Stress, Deformation, modulus × strain

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