Bridge Engineering Linking Physics and Mathematics to Engineering
description
Transcript of Bridge Engineering Linking Physics and Mathematics to Engineering
20-Jan-2010 electrical, computer and energy engineering
Prof. Subramaniam (“Subby”) D. Rajan, Prof. Narayanan Neithalath and Amie Baisley
Graduate Students: Kirk Vance, Matt Aguayo, Joseph Harrington and Canio Hoffarth
Bridge EngineeringLinking Physics and Mathematics to Engineering
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Popular Structural Systemsn Buildingsn Domesn Damsn Canals/Aqueducts n ___________________
Chase One Ballpark
Burj Khalifa
CAP Canal
St. Louis Gateway Arch
One World Trade Center
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Structural Materialsn ___________(Plain, Reinforced, Prestressed)n _________________________________n Timber/Woodn _________________
Reinforced concrete
Steel beams and columns
Concrete masonry blocks
Wood beams and columns
Bridges in Arizona
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Navajo Bridge, Marble Canyon_____________: rock abutments and mid-span
834 ft long
467 ft above water
Roosevelt Dam
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__________________• 280 ft tall and 723 ft long• 1,000,000 acre-feet
• 357 ft tall and 1210 ft long• 1,653,043 acre-feet
Roosevelt Dam Bridge
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• ________________________________________________
• 1,080 ft long• $__________ million
SuperRedTan Interchange
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4-level Interchange
Suspension Bridges
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Boyce Arboretum
Kaibab Trail, Grand Canyon
Bridge Basics
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Bridge Basics
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Engineering Design Fundamentals Using Bridge Design As an Example
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Questions – Level 1n Q1: Building Materials
– (a) What are the more common building materials?– (b) Why are there so many different building materials?
n Q2: What is a Bridge?– (a) How can bridges be classified?– (b) What are the different parts or components of a bridge?– (c) Describe some famous bridges in Arizona and the US
n Q3: Bridge Performance– (a) How are bridges loaded?– (b) How should bridges perform under these loads?
n Q4: Who designs and constructs bridges?
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Questions – Level 2n Q5: Building Materials
– (a) What material properties characterize the behavior of a material?– (b) How are these material properties obtained?– (c) How do materials fail?
n Q6: What is a bridge?– (a) How do bridges fail?– (b) What is the lifetime of a bridge?– (c) How are the chances of a failure minimized?– (d) Describe some famous bridge failures.– (e) What are the typical steps in constructing a bridge?
n Q7: Bridge Performance– What is Bridge Management System?
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Bridge Building CompetitionRead the MS Word file Bridge Competition Rules and Regulations.docx
before proceeding further
Bridge Layout
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Abutment(6” x 6” x 6”)
24"
Bridge deck
Abutment(6” x 6” x 6”)
Elevation View
3” 3”
6"
Approachroad
Approachroad
Bridge Layout
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24"
distancebelowdeck = 6”
Bridgedeck
distanceabovedeck = 6”
verticaldirection
Sytrofoam(1.5” thick)
12”
One or morecolumns
Bridge Layout
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4”
Plan View
6"
24"
longitudinal direction
transversedirection
columns
Bridge Layout
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L1 6”L2 12”
L3 18”
4”
Plan View
6"
24"
loadinglocation
L1L2
L3
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Material List for 6 KitsMaterial Specs. for one kit Home Depot Specifications Est.
costCardboard 24” x 6” 18 in. x 18 in. x 24 in. 65 lb. Large
Box (Qty: 1)$1.50
Wooden dowels
3/8” dia x 12” long American Wood Moulding 4 ft. x 3/8 in. Round Hardwood Dowel (Qty: 9)
$9.00
Steel wire 24 gage (0.58 mm) x 100”
OOK 250 ft. x 24-Gauge Galvanized Steel Wire (Qty: 1)
$5.00
Zinc washers 5/16” dia Crown Bolt Flat Washers (Qty: 3) $9.00
Steel washers #10 Crown Bolt Flat Washers (Qty: 1) $5.00
Glue 2-Part Epoxy Loctite 0.85 fl. oz. Quick Set Epoxy Gel (Qty: 3)
$18.00
Styrofoam 1.5” thick x 24” x 6” R-Tech 1-1/2 in. x 2 ft. x 4 ft. Foam Insulation (Qty: 1)
$6.00
Total: $54=$9/kit
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Tools Neededn Glovesn Sharp cardboard cutter or scissorsn Pliersn Straight edgen Markern Saw to cut the dowels into 12” longn Drill (if drilling holes in dowels)
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Engineering Design Processn Steps in Meeting the Bridge Design Requirements
– Frame the design problem– Research design options– Generate ideas– Use models and build prototypes– Conduct experiments– Troubleshoot and iterate– Communicate
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Referencesn Do an internet search using these keywords – bridge, bridge engineering,
bridge design, bridge failuresn West Point Bridge Design (http://bridgecontest.usma.edu)n Building Big
n MatWeb: http://www.matweb.com/n Zhao and Tonias, Bridge Engineering, McGraw Hill Publications.