Bridge Engineering Linking Physics and Mathematics to Engineering Prof. Subramaniam (“Subby”) D. Rajan, Prof. Narayanan Neithalath and Amie Baisley Graduate Students: Kirk Vance, Matt Aguayo, Joseph Harrington and Canio Hoffarth electrical, computer and energy engineering 20-Jan-2010 Popular Structural Systems Buildings Domes Dams Canals/Aqueducts ___________________ Chase One Ballpark Burj Khalifa St. Louis Gateway Arch One World Trade Center CAP Canal 2 Structural Materials ___________(Plain, Reinforced, Prestressed) _________________________________ Timber/Wood _________________ Reinforced concrete Steel beams and columns Wood beams and columns Concrete masonry blocks 3 Bridges in Arizona 4 Navajo Bridge, Marble Canyon _____________: rock abutments and mid-span 834 ft long 467 ft above water 5 Roosevelt Dam _________ • 280 ft tall and 723 ft long • 1,000,000 acre-feet _________ • 357 ft tall and 1210 ft long • 1,653,043 acre-feet 6 Roosevelt Dam Bridge •________________________________________________ • 1,080 ft long • $__________ million 7 SuperRedTan Interchange 4-level Interchange 8 Suspension Bridges Boyce Arboretum Kaibab Trail, Grand Canyon 9 Bridge Basics 10 Bridge Basics 11 Engineering Design Fundamentals Using Bridge Design As an Example 12 Questions – Level 1 Q1: Building Materials – (a) What are the more common building materials? – (b) Why are there so many different building materials? 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 Q3: Bridge Performance – (a) How are bridges loaded? – (b) How should bridges perform under these loads? Q4: Who designs and constructs bridges? 13 Questions – Level 2 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? 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? Q7: Bridge Performance – What is Bridge Management System? 14 Bridge Building Competition Read the MS Word file Bridge Competition Rules and Regulations.docx before proceeding further 15 Bridge Layout Bridge deck 3” 3” 24" Approach road 6" Approach road Abutment (6” x 6” x 6”) Abutment (6” x 6” x 6”) Elevation View 16 Bridge Layout One or more columns Bridge deck 12” vertical direction distance above deck = 6” distance below deck = 6” 24" Sytrofoam (1.5” thick) 17 Bridge Layout 6" longitudinal direction transverse direction 4” 24" columns Plan View 18 Bridge Layout loading location 6” L2 12” L3 18” 4” 6" 24" L1 L1 L2 L3 Plan View 19 Material List for 6 Kits Material Specs. for one kit Home Depot Specifications Cardboard 24” x 6” 18 in. x 18 in. x 24 in. 65 lb. Large $1.50 Box (Qty: 1) 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 Est. cost 20 Tools Needed Gloves Sharp cardboard cutter or scissors Pliers Straight edge Marker Saw to cut the dowels into 12” long Drill (if drilling holes in dowels) 21 Engineering Design Process 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 22 References Do an internet search using these keywords – bridge, bridge engineering, bridge design, bridge failures West Point Bridge Design (http://bridgecontest.usma.edu) Building Big MatWeb: http://www.matweb.com/ Zhao and Tonias, Bridge Engineering, McGraw Hill Publications. 23