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APPLICATION OF MATHEMATICS IN BRIDGE BUILDING

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Alejandro Yang

on 17 October 2013

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Transcript of APPLICATION OF MATHEMATICS IN BRIDGE BUILDING

APPLICATION OF MATHEMATICS IN BRIDGE BUILDING

What is a bridge?
It's a structure carrying a road, path, railroad, or canal across a river, ravine, road, railroad, or obstacle.
Things to think about
Idea 1
Idea 2
how does math go into bridge building
Mathematics providing a guarantee for correct heights, weights, and angles for various structures, to ensure safety and cost efficiency. As well as if the bridge can be built in the first place.
what are the different types of bridges
there are five main types of bridges they are Beam bridge, Arch bridge, Cantilever bridge, Cable-stayed bridge, Suspension bridge, and Truss bridge.
Describe the idea you think is best
Conclusion
example
The Golden Gate bridge
example
Tower bridge
example
Humber Bay
Arch bridge
mathematics in truss bridge
with this the amount of material will depend on how high you would want the truss to be.
how the problem would be solved
height
Tan60=x/40
x=69.3cm
Find out its
cost
If wood cost 25$ per meter how much would a bridge with four of these triangles(truss) would cost.
Beam/Arch Bridges
A beam bridge consist of a horizontal beam supported at each end by piers.
Suspension bridges
Both suspension and cable-stayed bridges use suspension to hold up there horizontal beam (can span longer lengths than beam or arch bridge).
Truss Bridges
A truss bridge is a bridge supported by trusses.
How to Pick The Best Bridge
Pro
Con
Pro
Con
Pro
Con
Refer back to the pros and cons
Explain how it will help
Describe the next steps
Based on Jim Harvey's speech structures
A arch bridge abutments at each end shaped as a curved arch.
How Suspension Works
What is a truss
Its framework, typically consisting of rafters, posts, and struts, supporting a roof, bridge, or other structure
Find length of x and its hypotenuse (the opposite side to the right angle)
hypotenuse^2=A^2+B^2
40^2+69.3^2=80cm
How much wood would be used to build four of these triangles(truss) also if the two truss were three meter apart
The how far you want the bridge to go
What is its uses
How much will you pay for materials
How architects look at the problem
Full transcript