Chapter 10 : Static Equilibrium ; Elasticity & Fracture

Conditions for
Equilibrium

First Condition for Equilibrium
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Second Condition for Equilibrium
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Stability & Balance

If the forces on an object are such that they
tend to return it to its equilibrium position,
it is said to be in stable equilibrium.

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If the forces tend to move it away from its equilibrium point, it is said to be in unstable equilibrium

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An object is unstable if it is tipped,
so that its center of gravity is
outside the pivot point
.

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Elasticity

Stress

Strain

Tension
Compression
Shear

Hooke's Law
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Shear Modulus, G
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Bulk Modulus,B (Fluids)
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Fracture

When stress too great,
the object will fracture

Horizontal Beam will be
under tensile & compressive
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When designing a structure, it is a
good idea to keep anticipated stresses
less than1/3 to 1/10 of the ultimate strength

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Trusses & Bridge

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Basically, a truss is a framework of rods
or struts joined together at their ends by
pins or rivets, always arranged as triangles

On real bridge, the load will not in general,
be centered. The maximum load rating for
a bridge must take this into account

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Arches & Domes

Larger bridges has suspension from
towers by closely spaced vertical wires

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Stones & Bricks in a round arch
are mainly under compression,
which tends to strengthen the structure

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Pointed arches require considerably
less horizontal force than a round arch

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