Bridge Design Manual (BDM), 2006
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2005 • Modern Steel Construction November 2005 • Modern Steel Construction • 36 Diation of the Existing Steel Stringers Was Minimal
NATIONAL STEEL BRIDGE ALLIANCE PRIZE BRIDGE COMPETITION NATIONAL AWARD RECONSTRUCTED Red Cliff Arch Rehabilitation Project Red Cliff, CO Gregg Gargan ocated near Red Cliff, CO, southwest of Vail railroad. Any falling material would have been haz- existing connections. A bare concrete deck was used on U.S. Highway 24, the Red Cliff Arch Bridge ardous not only to the public, but also to the envi- to minimize the dead loads. Because of the widening, Lwas originally completed in 1941. Sixty-three ronment. A hard platform scaffolding system was the overhang became larger. To minimize the effects years later, the bridge was in dire need of help. Due required and provided several safety and schedule of the large overhang, a mandatory construction to age, as well as loads and traffic that were not envi- benefits. joint was placed beyond the exterior stringer. The sioned in the 1940s, the bridge needed an extensive Since Highway 24 is the main access to this core of the deck was placed first and allowed to gain rehabilitation. popular ski destination, closure of the highway was strength. The curb and remaining deck was then The newly rehabilitated Red Cliff Arch Bridge a concern. In order to achieve a superior concrete placed with their loads distributed to the newly com- was dedicated in November 2004. Preserving the product for the deck, a complete closure for the posite bridge core. To increase strength of the reha- structure’s historical integrity, while updating it to bridge was deemed necessary. To minimize the bilitated bridge, shear studs were added to stringers current safety standards and strength requirements, impact on the town, the contract required the bridge to create a composite deck. -
Sustainable Trail Bridge Design
U.S. Department of Transportation United States Department of Agriculture Federal Highway Administration Sustainable Trail Bridge Design Forest National Technology & 2023–2805P–NTDP March 2020 Service Development Program 2300–Recreation Sustainable Trail Bridge Design Notice Ordering Information This document was produced in cooperation with You can order a copy of this document using the the Recreational Trails Program of the U.S. Depart- order form on FHWA’s Recreational Trails Program ment of Transportation’s Federal Highway Adminis- website <http://www.fhwa.dot.gov/environment/rec- tration in the interest of information exchange. The reational_trails/publications/trailpub.cfm> U.S. Government assumes no liability for the use of Fill out the order form and submit it electronically. information contained in this document. Or you may email your request to: [email protected] The U.S. Government does not endorse products or manufacturers. Trademarks or manufacturers’ names Or you may mail your request to: appear in this report only because they are consid- Szanca Solutions/FHWA PDC ered essential to the objective of this document. 700 North 3rd Avenue The contents of this report reflect the views of the Altoona, PA 16601 authors, who are responsible for the facts and Fax: 814–239–2156 accuracy of the data presented herein. The con- tents do not necessarily reflect the official policy of Produced by the U.S. Department of Transportation. This report USDA Forest Service does not constitute a standard, specification, or National Technology and Development Program regulation. 5785 Hwy. 10 West Missoula, MT 59808–9361 Phone: 406–329–3978 Fax: 406–329–3719 Email: [email protected] U.S. -
William Broadhead Professor of History Thesis Supervisor
Vitruvius on Architecture: A Modem Application and Stability Analysis of Classical Structures by Ana S. Escalante Submitted to the Department of Mechanical Engineering in Partial Fulfillment of the Requirements for the Degree of Bachelor of Science in Mechanical Engineering at the Lj Massachusetts Institute of Technology June 2013 0 2013 Ana S. Escalante. All rights reserved. The author hereby grants to MIT permission to reproduce and to distribute publicly paper and electronic copies of this thesis document in whole or in part in any medium now known or hereafter created Signature of Author: F , 2 I- - Department of Mechanical Engineering May 28, 2013 Certified by: William Broadhead Professor of History Thesis Supervisor Accepted by: Annette Hosoi Professor of Mechanical Engineering Undergraduate Officer 1 2 Vitruvius on Architecture: A Modem Application and Stability Analysis of Classical Structures by Ana S. Escalante Submitted to the Department of Mechanical Engineering on June 7, 2013 in Partial Fulfillment of the Requirements for the Degree of Bachelor of Science in Mechanical Engineering ABSTRACT Imperial Rome has left numerous legacies, the most well-known being its literature and monuments. Though many monuments, such as the Pantheon, are well-preserved, in cases where little physical evidence remains, historians can often use literary sources to inform reconstruction efforts. For more technical studies of Roman construction, technical literature is rare and the contemporary awareness of such literature even less known. When Vitruvius wrote De architectura,he did not intend for it to be a manual for instruction but rather a central source of general architectural knowledge. Directly aimed at architects, contractors, and other individuals involved in the design and construction of buildings, De architecturaprovides insight into contemporary technical knowledge. -
A Mathematician's Lament
A Mathematician’s Lament by Paul Lockhart musician wakes from a terrible nightmare. In his dream he finds himself in a society where A music education has been made mandatory. “We are helping our students become more competitive in an increasingly sound-filled world.” Educators, school systems, and the state are put in charge of this vital project. Studies are commissioned, committees are formed, and decisions are made— all without the advice or participation of a single working musician or composer. Since musicians are known to set down their ideas in the form of sheet music, these curious black dots and lines must constitute the “language of music.” It is imperative that students become fluent in this language if they are to attain any degree of musical competence; indeed, it would be ludicrous to expect a child to sing a song or play an instrument without having a thorough grounding in music notation and theory. Playing and listening to music, let alone composing an original piece, are considered very advanced topics and are generally put off until college, and more often graduate school. As for the primary and secondary schools, their mission is to train students to use this language— to jiggle symbols around according to a fixed set of rules: “Music class is where we take out our staff paper, our teacher puts some notes on the board, and we copy them or transpose them into a different key. We have to make sure to get the clefs and key signatures right, and our teacher is very picky about making sure we fill in our quarter-notes completely. -
G 13.1 Guidelines for Steel Girder Bridge Analysis.Pdf
G13.1 Guidelines for Steel Girder Bridge Analysis 2nd Edition American Association of State Highway Transportation Officials National Steel Bridge Alliance AASHTO/NSBA Steel Bridge Collaboration Copyright © 2014 by the AASHTO/NSBA Steel Bridge Collaboration All rights reserved. ii G13.1 Guidelines for Steel Girder Bridge Analysis PREFACE This document is a standard developed by the AASHTO/NSBA Steel Bridge Collaboration. The primary goal of the Collaboration is to achieve steel bridge design and construction of the highest quality and value through standardization of the design, fabrication, and erection processes. Each standard represents the consensus of a diverse group of professionals. It is intended that Owners adopt and implement Collaboration standards in their entirety to facilitate the achievement of standardization. It is understood, however, that local statutes or preferences may prevent full adoption of the document. In such cases Owners should adopt these documents with the exceptions they feel are necessary. Cover graphics courtesy of HDR Engineering. DISCLAIMER The information presented in this publication has been prepared in accordance with recognized engineering principles and is for general information only. While it is believed to be accurate, this information should not be used or relied upon for any specific application without competent professional examination and verification of its accuracy, suitability, and applicability by a licensed professional engineer, designer, or architect. The publication of the material contained herein is not intended as a representation or warranty of the part of the American Association of State Highway and Transportation Officials (AASHTO) or the National Steel Bridge Alliance (NSBA) or of any other person named herein, that this information is suitable for any general or particular use or of freedom from infringement of any patent or patents. -
Difference Between Deck Type and Through Type Bridge and Their Components
Difference between Deck Type and Through Type Bridge and their Components Naveen Choudhary 1 DEFERENCE BETWEEN DECK TYPE AND THROUGH TYPE RAILWAY BRIDGES • Deck-type bridges refer to those in which the road deck is carried on the top flange or on top of the supporting girders. • Through type bridge - The carriageway rests at the bottom level of the main load carrying members. In the through type plate girder bridge, the roadway or railway is placed at the level of bottom flanges. Mr. Naveen Choudhary, GEC Ajmer 2 DEFERENCE BETWEEN DECK TYPE AND THROUGH TYPE RAILWAY BRIDGES Mr. Naveen Choudhary,GEC Ajmer 3 DEFERENCE BETWEEN DECK TYPE AND THROUGH TYPE RAILWAY BRIDGES Through type deck bridge Mr. Naveen Choudhary,GEC Ajmer 4 DEFERENCE BETWEEN DECK TYPE AND THROUGH TYPE RAILWAY BRIDGES Mr. Naveen Choudhary,GEC Ajmer 5 DEFERENCE BETWEEN DECK TYPE AND THROUGH TYPE RAILWAY BRIDGES Mr. Naveen Choudhary,GEC Ajmer 6 Through Type Bridge Mr. Naveen Choudhary,GEC Ajmer 7 Through Type Bridge Mr. Naveen Choudhary,GEC Ajmer 8 Through Type Bridge Mr. Naveen Choudhary,GEC Ajmer 9 Deck Type Bridge Mr. Naveen Choudhary,GEC Ajmer 10 Deck Type Bridge Mr. Naveen Choudhary,GEC Ajmer 11 Deck Type Bridge Mr. Naveen Choudhary,GEC Ajmer 12 Cross-Section deck type bridge Mr. Naveen Choudhary,GEC Ajmer 13 Normal span ranges of bridge system Mr. Naveen Choudhary,GEC Ajmer 14 Normal span ranges of bridge system TYPE Maximum Span 500 m Steel arch bridge 240 m Steel bow-string girder bridge 1200 m Steel cable suspension bridge 30 m Steel plate girder 10 m Steel rolled beam bridge 180 m Steel truss bridge Mr. -
An Introduction to the Mandelbrot Set
An introduction to the Mandelbrot set Bastian Fredriksson January 2015 1 Purpose and content The purpose of this paper is to introduce the reader to the very useful subject of fractals. We will focus on the Mandelbrot set and the related Julia sets. I will show some ways of visualising these sets and how to make a program that renders them. Finally, I will explain a key exchange algorithm based on what we have learnt. 2 Introduction The Mandelbrot set and the Julia sets are sets of points in the complex plane. Julia sets were first studied by the French mathematicians Pierre Fatou and Gaston Julia in the early 20th century. However, at this point in time there were no computers, and this made it practically impossible to study the structure of the set more closely, since large amount of computational power was needed. Their discoveries was left in the dark until 1961, when a Jewish-Polish math- ematician named Benoit Mandelbrot began his research at IBM. His task was to reduce the white noise that disturbed the transmission on telephony lines [3]. It seemed like the noise came in bursts, sometimes there were a lot of distur- bance, and sometimes there was no disturbance at all. Also, if you examined a period of time with a lot of noise-problems, you could still find periods without noise [4]. Could it be possible to come up with a model that explains when there is noise or not? Mandelbrot took a quite radical approach to the problem at hand, and chose to visualise the data. -
Does Mathematical Beauty Pose Problems for Naturalism?1
Does Mathematical Beauty Pose Problems for Naturalism?1 Russell W. Howell Professor of Mathematics Westmont College, Santa Barbara, CA [email protected] Numerous events occurred in 1960 whose eects could hardly have been predicted at the time: several African Americans staged a sit-in at a Greensboro lunch counter, the Soviet Union shot down Gary Powers while he was ying a U2 spy plane, the US FDA approved the use of the rst oral contraceptive, AT&T led with the Federal Communications Commission for permission to launch an experimental communications satellite, and four Presidential debates between John Kennedy and Richard Nixon aired on national television. Less well known was the publication of a paper by the physicist Eugene Wigner. Ap- pearing in Communications in Pure and Applied Mathematics, a journal certainly not widely read by the general public, it bore the mysterious title The Unreasonable Eectiveness of Mathematics in the Natural Sciences. (Wigner, 1960) Like our cultural examples of the 1960's, it has had eects beyond what most people would have imagined. Our purpose here is to tease out some strains of an important question that has emerged from Wigner's work. Wigner begins with a story about two friends who were discussing their jobs. One of them, a statistician, was working on population trends. He mentioned a paper he had produced, which contained the Gaussian distribution equation near the beginning. The statistician attempted to explain the meaning it, as well as other mathematical symbols. His friend was a bit perplexed, and was not quite sure whether the statistician was pulling his leg. -
Bridge Deck Design Publication No
U.S. Department of Transportation Federal Highway Administration Steel Bridge Design Handbook Bridge Deck Design Publication No. FHWA-IF-12-052 - Vol. 17 Archived November 2012 Notice This document is disseminated under the sponsorship of the U.S. Department of Transportation in the interest of information exchange. The U.S. Government assumes no liability for use of the information contained in this document. This report does not constitute a standard, specification, or regulation. Quality Assurance Statement The Federal Highway Administration provides high-quality information to serve Government, industry, and the publicArchived in a manner that promotes public understanding. Standards and policies are used to ensure and maximize the quality, objectivity, utility, and integrity of its information. FHWA periodically reviews quality issues and adjusts its programs and processes to ensure continuous quality improvement. Steel Bridge Design Handbook: Bridge Deck Design Publication No. FHWA-IF-12-052 – Vol. 17 November 2012 Archived Archived Technical Report Documentation Page 1. Report No. 2. Government Accession No. 3. Recipient’s Catalog No. FHWA-IF-12-052 – Vol. 17 4. Title and Subtitle 5. Report Date Steel Bridge Design Handbook: Bridge Deck Design November 2012 6. Performing Organization Code 7. Author(s) 8. Performing Organization Report No. Brandon Chavel, Ph.D, PE 9. Performing Organization Name and Address 10. Work Unit No. HDR Engineering, Inc. 11 Stanwix Street 11. Contract or Grant No. Suite 800 Pittsburgh, PA 15222 12. Sponsoring Agency Name and Address 13. Type of Report and Period Covered Office of Bridge Technology Technical Report Federal Highway Administration March 2011 – November 2012 1200 New Jersey Avenue, SE Washington, D.C. -
Deck Design for Steel Bridges
Deck Design for Steel Bridges Four (4) Continuing Education Hours Course #CV1218 Approved Continuing Education for Licensed Professional Engineers EZ-pdh.com Ezekiel Enterprises, LLC 301 Mission Dr. Unit 571 New Smyrna Beach, FL 32170 800-433-1487 [email protected] Deck Design for Steel Bridges Ezekiel Enterprises, LLC Course Description: The Deck Design for Steel Bridges course satisfies four (4) hours of professional development. The course is designed as a distance learning course that offers insight for engineers in decking options and design considerations for steel bridges. Objectives: The primary objective of this course is to enable the student to understand design options & methods for various steel bridge deck types such as concrete deck slabs, metal grid decks, orthotropic steel decks, wood decks, and several others. Grading: Students must achieve a minimum score of 70% on the online quiz to pass this course. The quiz may be taken as many times as necessary to successful pass and complete the course. A copy of the quiz questions are attached to last pages of this document. ii Deck Design for Steel Bridges Ezekiel Enterprises, LLC Table of Contents Deck Design for Steel Bridges 1. Introduction ...................................................... 1 2. Concrete Deck Slabs ........................................... 2 3. Metal Grid Decks ............................................. 19 4. Orthotropic Steel Decks ................................... 26 5. Wood Decks ..................................................... 31 6. Other Deck Systems ......................................... 34 Quiz Questions ...................................... 38 iii Deck Design for Steel Bridges Ezekiel Enterprises, LLC 1.0 INTRODUCTION This course provides practical information regarding the decking options and design considerations for steel bridges, presenting deck types such as concrete deck slabs, metal grid decks, orthotropic steel decks, wood decks, and several others. -
Fractal Art(Ists)
FRACTAL ART(ISTS) Marco Abate and Beatrice Possidente 1 Introduction “Fractals are everywhere.” This has been a sort of advertising line for fractal geometry (and for mathematics in general) since the Eighties, when Benoît Mandelbrot discovered the set now known as Mandelbrot set, and brought fractals to the general attention (see, e.g., [1, 2] for the story of his discovery, and [3] for an introduction to fractal geometry). As most good advertising lines, though not completely true, it is not too far from the truth. Possibly they are not exactly everywhere, but fractals are frequent enough to guarantee you will meet at least one as soon as you leave your full-of-straight-lines man-made-only office space and take a short walk in a natural environment. When you start thinking about it, this is not surprising. Fractals are easy to generate: it suffices to repeat over and over (infinitely many times in the mathematical world, but in the real world ten times is often close enough to infinity) the same simple process to create a complicated object; and tinkering with just a few parameters allows to obtain an amazingly wide range of different shapes, that can be easily adapted to specific requirements. It is quite an efficient scheme, and nature loves efficiency; complex structures can be created starting just from simple (but nonlinear!) tools. Coastlines and mountain lines; leaves arrangements and lightning; fractures and clouds; all examples of fractally generated shapes. And fractals are beautiful, there is no denying that. Something in their intricate shapes, in their repeating of similar forms at different scales, resonates deeply into our (fractal-shaped) brain, evokes our aesthetic senses, let us admire infinity easing our painfully perceived finiteness. -
Design Guide for Steel Railway Bridges (P318)
SCI PUBLICATION P318 Design Guide for Steel Railway Bridges D C ILES MSc ACGI DIC CEng MICE Published by: The Steel Construction Institute Silwood Park Ascot Berkshire SL5 7QN Tel: 01344 623345 Fax: 01344 622944 © 2004 The Steel Construction Institute Apart from any fair dealing for the purposes of research or private study or criticism or review, as permitted under the Copyright Designs and Patents Act, 1988, this publication may not be reproduced, stored or transmitted, in any form or by any means, without the prior permission in writing of the publishers, or in the case of reprographic reproduction only in accordance with the terms of the licences issued by the UK Copyright Licensing Agency, or in accordance with the terms of licences issued by the appropriate Reproduction Rights Organisation outside the UK. Enquiries concerning reproduction outside the terms stated here should be sent to the publishers, The Steel Construction Institute, at the address given on the title page. Although care has been taken to ensure, to the best of our knowledge, that all data and information contained herein are accurate to the extent that they relate to either matters of fact or accepted practice or matters of opinion at the time of publication, The Steel Construction Institute, the authors and the reviewers assume no responsibility for any errors in or misinterpretations of such data and/or information or any loss or damage arising from or related to their use. Publications supplied to the Members of the Institute at a discount are not for resale by them. Publication Number: SCI P318 ISBN 1 85942 150 4 British Library Cataloguing-in-Publication Data.