Basic Theory of Structures - 1st Edition - ISBN: 9780080116549, 9781483185798

Basic Theory of Structures

1st Edition

The Commonwealth and International Library: Mechanical Engineering Division

Authors: J. S. C. Browne
Editors: N. Hiller G. E. Walker
eBook ISBN: 9781483185798
Imprint: Pergamon
Published Date: 1st January 1966
Page Count: 254
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Basic Theory of Structures provides a sound foundation of structural theory. This book presents the fundamental concepts of structural behavior.

Organized into 12 chapters, this book begins with an overview of the essential requirement of any structure to resist a variety of loadings without changing its shape. This text then examines the application of the laws of statics to structures as a means of determining the external reactions induced at supports due to loading. Other chapters consider the dependence of stress components on the choice of reference plane. This book discusses as well the method of determining the internal forces in the bars of a truss, which depends upon applying the conditions of equilibrium. The final chapter deals with the variety of factors affecting the strength of concrete.

This book is intended to be suitable for civil engineering students. Design and civil engineers will also find this book extremely useful.

Table of Contents


1. Equilibrium of Structures

Loading on Structures

Conditions of Equilibrium

Three Forces in Equilibrium

The Link Polygon

Equilibrant and Resultant of a System of Forces

Transmissibility of Force

Principle of superposition

Determination of Support Reactions

Compound Beams

Three-Pinned Arches and Portals

Particles Subjected to a Set of Forces in Equilibrium

Exercise 1

2. Shearing Force and Bending Moment

Internal Forces

Axial Force

Shearing Force

Bending Moment

Relationship Between Loading and Shearing Force

Relationship Between Shearing Force and Bending Moment

Shearing Force and Bending Moment Diagrams

Position of Supports for Uniformly-Loaded Beam to Give Maximum Load-Carrying Capacity

Beam with Oblique Loading

Three-Pinned Arch

Linear Arch

Beam with Varying Intensity of Loading

Exercise 2

3. Bending Stresses in Beams

Mechanism of Bending

Moment of Resistance

First Moments of Area

Second Moments of Area

Principal Axes of Bending

Modulus of Section

Materials for Beams

Curtailment of Flanges

Moment of Resistance of a B.S.B.

Compound Girder

Simplified Plate Girder Design

Exercise 3

4. Complex Stress

Complementary Shear Stress

The General Case of Plane Stress (Principal Stresses)

Distribution of Shear Stress Across a Solid Rectangular Beam

Exercise 4

5. Statically Determinate Plane Trusses

Perfect Frames

Methods of Analysis

Force Diagrams

Graphical Analysis of a Roof Truss

Solution by s.f. and b.m. Diagrams

Exercise 5

6. Rolling Loads

Influence Lines for Simple Beams

Position of a Train of Loads to Give a Maximum s.f. at a Given Section

Position of a Train to Give a Maximum b.m. at a Given Section

Position of a Train to Give a Maximum b.m. Under a Given Load

Influence Lines for Simply Supported Trusses

Influence Line of Horizontal Thrust in a Three-Pinned Arch

Envelope Diagrams of s.f. and b.m.

Exercise 6

7. Combined Bending and Direct Stress

Beams with Longitudinal Loads

Eccentrically Loaded Stocky Struts or Ties

Structures Relying on Gravity for their Stability

Stability of a Chimney

Stresses on the Base of a Dam

Middle Third Rule

Stability of a Retaining Wall

Pre-Stressed Concrete Beams

Exercise 7

8. Deflection of Beams


Calculation of Beam Deflections

Cantilevers and Beams with Simple Loadings

Macaulay's Method

Overhanging Beam

Exercise 8

9. Buckling of Struts

Stability of Equilibrium

Determination of Critical Load

Factor of Safety and Load Factor

Effect of Different End Constraints

Exercise 9

10. Deflection of Trusses — Strain Energy Method

Strain Energy

Deflection of a Truss

Steps in the Strain Energy Method of Analysis for Trusses

Exercise 10

11. Deflection of Trusses — Graphical Method

Displacement of a Loaded Particle Supported by Two Cords

Construction of Williot Diagram for a Cantilever Truss

Combined Williot-Mohr Displacement Diagram

Deflection of Simply Supported Truss

Exercise 11

12. Reinforced Concrete

Factors Affecting the Strength of Concrete

Reinforced Concrete Beams

Determining the Moment of Resistance of a Given Beam

Slabs Simply Supported on Two Opposite Edges

Economic Percentage of Steel

Simple Design Problems

Exercise 12



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© Pergamon 1966
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About the Author

J. S. C. Browne

About the Editor

N. Hiller

G. E. Walker

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