ARCHES
Arches
are the upward convex shaped curved structure comparatively stronger than beams,
supported at ends to resist both horizontal and vertical displacements.
Arches
are economic for long span compared to beam
1. Bending
moment of the beam always varies with square of the span.
2. In case of arches the total moment is always
obtained by moment below the load detected by the horizontal thrust action at
the same span. (M-Hy)
By
the above discussion we can conclude that for the same amount of the load Arch
structure is efficient than compared to that of long beams.
Arch Action
1. Arch
is basically a compressive member (zero tensile stress member), whenever the
external load is applied on the arch structure it is generally resolved into two
components
·
Axial compressive stress
·
Thrust at the base instead of bending
moments
2. The
important feature of the arch action is one in which the horizontal reaction at
the supports is the governing force to resist the externally applied load by
preventing arch from collapsing.
3. As
the height of the arch decreases the horizontal reaction at the supports
increases in order sustain the serviceability of the arch for the applied load.
Types of Arches
Basically, there are three types of arches used in
practice they are
1. Two
hinged arches
Ø The
arch supported with only two hinges.
Ø It
is statically indeterminate of degree 1.
Ø It
is structurally easier to construct.
Ø The
normal thrust along the rib which is compressive in nature causes the rib to
shorten.
Ø It
is likely developing stresses due to sinking of support.
2. Three
hinged Arch:
Ø This
is an arch which consists of three hinges.
Ø It
is statically determinate structure.
Ø This
arch can be analyzed easily, but difficult to construct.
Ø Since
it is determinate in nature, there will be no stresses due to sinking of
support.
3. Fixed
Arch:
Ø It
is the arch which is supported by fixed supports at both the ends.
Ø The
degree of redundancy is 3.
Ø Since
the fixed ends are restraint for all reactions at both the ends, hence it
creates additional stresses in the arch.
Ø This
arch can be analyzed by using strain energy method, least energy method, column
energy method etc.…
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