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Bridge Engineering:

Lessons from

Rome to Tacoma



Clear Lake MS Engineering

03-27-2006

History of Bridge Development







100 B.C. Romans

2,104 years ago

700 A.D. Asia

Clapper Bridge

1,304 years

Tree trunk ago

Stone

Roman Arch Bridge





Arch design

evenly distributes

stresses Great Stone Bridge in China

Natural concrete Low bridge

made from mud Shallow arch

and straw Allows boats

and water to pass

through

History of Bridge Development



1900







1920

Truss Bridges

Mechanics of

Design

Wood

2000



Suspension Bridges



Use of steel in

suspending cables





Prestressed

Concrete

Steel

Basic Concepts





Span - the distance between two bridge

supports, whether they are columns, towers

or the wall of a canyon.



Force -





Compression –





Tension -

Compression Tension









Concrete has good compressive strength,

but extremely weak tensile strength. What

about steel cables?

Basic Concepts





Beam - a rigid, usually horizontal, structural element

Beam





Pier





Pier - a vertical supporting structure, such as a pillar



Cantilever - a projecting structure supported only at one end,

like a shelf bracket or a diving board



Load - weight on a structure

Types of Bridges

Basic Types:

•Truss Bridge

•Beam Bridge

•Arch Bridge

•Suspension Bridge Floating

•Floating Bridge









Truss Beam Arch

Suspension

The type of bridge used depends on the obstacle. The main

feature that controls the bridge type is the size of the obstacle.

Truss Bridge









All beams in a truss bridge are straight. Trusses are

comprised of many small beams that together can support

a large amount of weight and span great distances.

Types of Bridges



Beam Bridge









Consists of a horizontal beam supported at each end by piers.

The weight of the beam pushes straight down on the piers. The

farther apart its piers, the weaker the beam becomes. This is

why beam bridges rarely span more than 250 feet.

Types of Bridges



Beam Bridge



Forces

When something pushes down on the beam, the beam

bends. Its top edge is pushed together, and its bottom

edge is pulled apart.

Types of Bridges



Arch Bridges



The arch has great natural strength. Thousands of years ago,

Romans built arches out of stone. Today, most arch bridges

are made of steel or concrete, and they can span up to 800

feet.

Types of Bridges



Arch Bridges



Forces

The arch is squeezed together, and this squeezing force is

carried outward along the curve to the supports at each end.

The supports, called abutments, push back on the arch and

prevent the ends of the arch from spreading apart.

Types of Bridges

Suspension Bridges

This kind of bridges can span 2,000 to 7,000 feet -- way farther

than any other type of bridge! Most suspension bridges have a

truss system beneath the roadway to resist bending and

twisting.

Types of Bridges



Suspension Bridges

Forces

In all suspension bridges, the roadway hangs from massive

steel cables, which are draped over two towers and secured

into solid concrete blocks, called anchorages, on both ends of

the bridge. The cars push down on the roadway, but because

the roadway is suspended, the cables transfer the load into

compression in the two towers. The two towers support most of

the bridge's weight.

Types of Bridges



Floating Bridge



•Pontoon bridges are supported by floating pontoons

with sufficient buoyancy to support the bridge and

dynamic loads.

•While pontoon bridges are usually temporary

structures, some are used for long periods of time.

•Permanent floating bridges are useful for traversing

features lacking strong bedrock for traditional piers.

•Such bridges can require a section that is elevated,

or can be raised or removed, to allow ships to pass.

Floating

Bridges









Retractable!









But high maintenance!

Bridge

Engineering





How do the following affect your structure?

Ground below bridge

Loads

Materials

Shapes

Bridge Engineering



Summary



To design a bridge like you need to take into account all the

forces acting on it:

•The friction of the earth on every part

•The strength of the ground pushing up the supports

•The resistance of the ground to the pull of the cables

•The dead weight and all vehicle loads

Then there is the drag and lift produced by wind and water

•The turbulence as fluids pass the towers





Need to use appropriate materials and structural shapes in

the cheapest way, yet maintaining a certain degree of safety.

To account for natural disasters, engineers design bridges

with a factor of safety: usually around 3 or 4.

Case Study:

Tacoma Narrows

Failure









The first Tacoma Narrows suspension bridge collapsed due to wind-induced

vibrations on Nov. 7, 1940. The bridge over engineered it to withstand hurricane

winds, but the wind that day was only 40 mph… what happened!?



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