Elastic Beam Calculations Handbook
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Elastic Beam Calculations Handbook

Elastic Beam Calculations Handbook


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International Edition


About the Book

The Elastic Beam Calculations Handbook presents a concise, yet mathematically rigorous treatment of beams based on elastic theory written at a clear technical level in order that practitioners can quickly learn the essentials and apply elastic beam calculations in their work. This much-needed comprehensive reference covers elastic beams with varying material and section properties, support conditions, span lengths, and other important geometric features. It provides simple and logical presentations of elastic beam problems by addressing each as corollaries of a more general theorem, consequently resulting in numerical work that can be planned and executed with ease, clarity, and optimal results. Structural engineers concerned directly with structural analysis of elastic beam problems will find many examples of useful and neat solutions and the rationale for their validity.

Table of Contents:
ForewordPrefaceAcknowledgments1 BASIC THEORY2 SIMPLE BEAMS: AN INTRODUCTION TO THE GENERAL APPROACH2.1 A Concentrated Force at an Arbitrary Point of the Span2.2 Uniform Load2.3 Triangular Load on Part of the Span2.4 Triangular Load on the Entire Span2.5 General Load Intensity Functions and Applications2.6 A Concentrated Couple at an Arbitrary Point of the Span2.7 The Principle of Superposition and Load Combinations2.8 Explorations and Observations3 CONTINUOUS BEAMS3.1 Two Span Continuous Beams3.1.1 A Concentrated Force at an Arbitrary Point of the Beam3.1.2 An Alternative Approach to the Problem of Concentrated Force3.1.3 Generic Problem, Arbitrary Load and the Principle of Superposition - A Regression3.1.4 Uniform Load on One Span: General Case3.1.5 Uniform Load on One Span: Special Case with Equal Span Lengths3.1.6 Uniform Load on One Span: Special Case with Constant Material and Section Properties3.1.7 Uniform Load on One Span: Special Case with Constant Material and Geometric Characteristics3.1.8 Triangular Load on One Span: General Case3.1.9 Triangular Load on One Span: Special Case with Equal Span Lengths3.1.10 Triangular Load on One Span: Special Case with Constant Material and Section Properties3.1.11 Triangular Load on One Span: Special Case with Constant Material and Geometric Characteristics3.1.12 A Concentrated Couple at an Arbitrary Point of a Span3.2 Three Span Continuous Beams3.2.1 A Concentrated Force at an Arbitrary Point of an Exterior Span3.2.2 Arbitrarily Distributed Load on an Exterior Span3.2.3 Uniform Load on an Exterior Span3.2.4 An Alternative Treatment of the Problem of Uniform Load on an Exterior Span3.2.5 Triangular Load on an Exterior Span3.2.6 A Concentrated Couple at an Arbitrary Point of an Exterior Span3.2.7 A Concentrated Force at an Arbitrary Point of the Interior Span3.2.8 Uniform Load on the Interior Span3.2.9 Triangular Load on the Interior Span4 BEAMS ON ELASTIC FOUNDATIONS4.1 Beams of Infinite Length4.1.1 A Concentrated Force on the Beam4.1.2 Uniform Load on the Beam4.2 Beams of Semi-infinite Length4.2.1 A Concentrated Force and Moment Acting at the End of the Beam4.2.2 Uniform Load on the Beam with a Simply Supported End4.2.3 Uniform Load on the Beam with a Fixed End5 CANTILEVERS5.1 Introduction5.2 Uniform Load on Part of the Span5.3 Triangular Load on Part of the Span5.4 General Load Intensity Functions with Applications5.5 A Concentrated Couple at an Arbitrary Point of the Span5.6 Explorations and Observations 6 EXAMPLES OF BEAM FORMULAE: EXPLORATION AND COMMENTARY6.1 Introduction6.2 Uniform Load on One Span of a Two Span Continuous Beam: General Case6.3 Triangular Load on One Span of a Two Span Continuous Beam: General Case6.4 A Concentrated Couple at an Arbitrary Point on a Two Span Continuous Beam: General Case6.5 A Concentrated Force at an Arbitrary Point of an Exterior Span of a Three Span Continuous Beam: General Case6.6 Uniform Load on an Exterior Span of a Three Span Continuous Beam: General Case6.7 Triangular Load on an Exterior Span of a Three Span Continuous Beam: General Case6.8 A Concentrated Couple at an Arbitrary Point of an Exterior Span of a Three Span Continuous Beam: General Case6.9 Uniform Load on the Interior Span of a Three Span Continuous Beam: General Case6.10 Triangular Load on the Interior Span of a Three Span Continuous Beam: General Case6.11 A Concentrated Force at an Arbitrary Point of an Exterior Span of a Three Span Continuous Beam: Constant J6.12 A Concentrated Force at an Arbitrary Point of an Exterior Span of a Three Span Continuous Beam: Constant Span Length6.13 Uniform Load on an Exterior Span of a Three Span Continuous Beam: Constant J6.14 Uniform Load on an Exterior Span of a Three Span Continuous Beam: Constant Span Length6.15 Triangular Load on an Exterior Span of a Three Span Continuous Beam: Constant J6.16 Triangular Load on an Exterior Span of a Three Span Continuous Beam: Constant Span Length6.17 A Concentrated Couple at an Arbitrary Point of an Exterior Span of a Three Span Continuous Beam: Constant J6.18 A Concentrated Couple at an Arbitrary Point of an Exterior Point of a Three Span Continuous Beam: Constant Span Length6.19 A Concentrated Force at an Arbitrary Point of the Interior Span of a Three Span Continuous Beam: Constant J6.20 A Concentrated Force at an Arbitrary Point of the Interior Span of a Three Span Continuous Beam: Constant Span Length6.21 Uniform Load on the Interior Span of a Three Span Continuous Beam: Constant J6.22 Uniform Load on the Interior Span of a Three Span Continuous Beam: Constant Span Length6.23 Triangular Load on the Interior Span of a Three Span Continuous Beam: Constant J6.24 Triangular Load on the Interior Span of a Three Span Continuous Beam: Constant Span Length6.25 Two Span Continuous Beams with Symmetry6.26 Four Span Continuous Beams with Symmetry6.27 Principle of Superposition6.28 Possible Directions for Future WorkAppendicesA. Some Properties of Ej - a EkB. Some Relations Among Ej , (j = 2 , 3 , 4 , 5 ,) C. Proof of S > 0, Upper and Lower Bounds for the Entity S in Section 60D. Upper and Lower Bounds for T in Section 60E. Upper and Lower Bounds for R4 in Section 61F. Single Span Beams with a Fixed End and a Simply Supported End

About the Author :
Dr. Jih-Jiang Chyu, P.E., Fellow ASCE, Member NYAS, holding MS and Eng. Sc. D. Degrees in Civil Engineering and Engineering Mechanics from Columbia University, is a registered professional engineer with four decades of professional experience in both consulting engineering encompassing design and research of bridges, buildings, and special structures in addition to teaching engineering and mathematics. Dr. Chyu has been an active participant of ASCE programs over the course of his career.


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Product Details
  • ISBN-13: 9781604270105
  • Publisher: J Ross Publishing
  • Publisher Imprint: J Ross Publishing
  • Height: 254 mm
  • No of Pages: 334
  • Spine Width: 23 mm
  • Width: 178 mm
  • ISBN-10: 1604270101
  • Publisher Date: 30 Jul 2009
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Weight: 762 gr


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