MATHINBRIDGE
RAJKIYA PRATIBHA VIKAS
VIDYALAYA, ROHINI, DELHI
CONCEPTUALISED BY:
Ms. SUSHMA SINGH
HARSH BADHAN
SHUBHAM KUMAR
SPECIAL THANKS TO:
NCERT
…………………………………………………………………………………………………
AND
Mr. RAL PAL SEHRAWAT
PRINCIPAL RPVV ROHINI
We are here to present our model
‘Math-in-Bridge’
Any construction made in human history is
a result of well planned structuring which
uses MATHEMATICS, if we roll back into
time we can see the use of mathematics in
our ancient HARAPPA civilisation as well.
Curious you all may be……
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
Well, one example is that the roads
were at right angle to each other. With
evolution
and
advancement
in
technology, we have been able to
master this art at a whole new level,
BRIDGES are a remarkable example
of this, truly can be said as
‘LANDMARK IN MATHEMATICS’
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
–We all travel through the bridges,
millions of vehicles pass through
every day and bridges bear
tonnes of load.
–Have you ever thought that what
is the factor which makes them
so strong so that they can bear
this much load?
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
–Why all over Delhi Metro rail is
supported by cylindrical pillars?
–Is it concrete, cement or iron which
makes the bridges so strong?
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
NO
……………….
Mathematics used behind
them makes them so
strong.
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
–Can you imagine what mathematics
is behind them?
–Let us solve these questions
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
Our model is based on three
mathematical concepts
– Strength of triangular shape.
– Role of circles in bridges
– Cylindrical shapes of pillars
– We can also take into account the
proportionality as the fourth concept.
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
– This model has combination of five types
of bridges.
Beam, arch, truss, suspension and cable
stayed bridge
– Every type of bridge has at least one or two
above mentioned mathematical concepts.
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
Beam Bridge
– Beam bridges are inexpensive to construct. In
this type of bridge a beam is used to support
bridge. In reality iron rods are used in Beam
Bridge.
– The world longest beam bridge is Lake
Panchartrain causeway. This is 24 miles long.
– One big drawback of Beam Bridge: it is not
suitable for places where there is need for
unobstructed clearance below the span as great
numbers of (supports) are required.
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
Arch Bridge
– The oldest type of bridge is arch bridge. Now-a-days
types of arch bridges are different because of
modern technology.
– In ancient time arch bridges were made in those
places where the span distance was less.
– Mathematical concept in arch bridge is ‘role of
circle’. With the help of circular circumference, we
are able to measure the arch of a bridge in degrees.
– The Natchez Trace Bridge in Franklin, Tennessee
(America) is the first arch bridge of pre-casted
concrete.
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
Truss Bridge
– Truss Bridge is strongest bridge. It
contains different types of trusses. The
Warren truss is one of the simplest yet
strong designs. Warren truss is unique
because it uses equilateral triangles. Each
side of the triangles has same length.
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
Suspension Bridge
– Suspension Bridges are light, strong,
and aesthetic, and their span distance is
from 2000 to 7000 feet, and it can
much longer than the other types of
bridges. It is the most expensive type of
bridges to construct.
– In earlier designs, the structures were
suspended with bamboo cables; in 6th
century iron chains displaced the use of
bamboo cables.
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
Cable-stayed Bridge
– Cable stayed bridges do look, almost much like the
suspension bridges. They all have towers and roadways
hanging from cables. The cables are secured to the towers
that are responsible for bearing the load of the bridge.
– Cables are attached in radial pattern, in this cables extent
from several points on the road to a single point at the top
of the towers.
– It is considered a fairly new approach to bridge
construction. For medium length span between 2,800 and
5000 feet, cable-stayed is fast becoming the bridge of
choice. Compared to suspension, they require less cable and
are faster to construct.
– Sunshine Skyway Bridge in Tampa, Florida is cable stayed
bridge.
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
ACTIVITIES DONE TO
EXPLAIN THE CONCEPTS
–To measure the arch of
a bridge in degree.
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
ACTIVITIES DONE TO
EXPLAIN THE CONCEPTS
–Triangular shape is the
strongest
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
ACTIVITIES DONE TO
EXPLAIN THE CONCEPTS
–To show cylinders with
hole at the centre are
strong
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
ACTIVITIES DONE TO
EXPLAIN THE CONCEPTS
–Triangular fan fold is
stronger than paper
strip
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
ACTIVITIES DONE TO
EXPLAIN THE CONCEPTS
–To construct a
cable-stayed bridge.
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
ACTIVITIES DONE TO
EXPLAIN THE CONCEPTS
–To apply the
mathematics of
proportion
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
HERE IS A VIDEO SHOWING
THESE ACTIVITIES:
–ENJOY
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI
RAJKIYA PRATIBHA VIKAS VIDYALAYA SECTOR XI ROHINI DELHI