# Roark's Formulas for Stress and Strain, Eighth Edition

by: Warren C. Young, Richard G. Budynas, Ali M. Sadegh

**Abstract:**Fully revised throughout, Roark’s Formulas for Stress and Strain, Eighth Edition, provides accurate and thorough tabulated formulations that can be applied to the stress analysis of a comprehensive range of structural components. All equations and diagrams of structural properties are presented in an easy-to-use, thumb-through format. This extensively updated edition contains new chapters on fatigue and fracture mechanics, stresses in fasteners and joints, composite materials, and biomechanics. Several chapters have been expanded and new topics have been added. Each chapter now concludes with a summary of tables and formulas for ease of reference. This is the definitive resource for designers, engineers, and analysts who need to calculate stress and strain management.

Full details

## Table of Contents

**A.**Preface to the First Edition**B.**Preface to the Eighth Edition**C.**List of Tables**1.**Introduction**2.**Stress and Strain: Important Relationships**3.**The Behavior of Bodies under Stress**4.**Principles and Analytical Methods**5.**Numerical Methods**6.**Experimental Methods**7.**Tension, Compression, Shear, and Combined Stress**8.**Beams; Flexure Straight Bars**9.**Curved Beams**10.**Torsion**11.**Flat Plates**12.**Columns and Other Compression Members**13.**Shells of Revolution; Pressure Vessels; Pipes**14.**Bodies under Direct Bearing and Shear Stress**15.**Elastic Stability**16.**Dynamic and Temperature Stresses**17.**Stress Concentration**18.**Fatigue and Fracture**19.**Stresses in Fasteners and Joints**20.**Composite Materials**21.**Solid Biomechanics**A.**Properties of a Plane Area**B.**Mathematical Formulas and Matrices**C.**Glossary

## Tools & Media

## Expanded Table of Contents

**A.**Preface to the First Edition**B.**Preface to the Eighth Edition**C.**List of Tables**1.**Introduction**2.**Stress and Strain: Important Relationships**3.**The Behavior of Bodies under Stress- Methods of Loading
- Elasticity; Proportionality of Stress and Strain
- Factors Affecting Elastic Properties
- Load Deformation Relation for a Body
- Plasticity
- Creep and Rupture under Long-Time Loading
- Criteria of Elastic Failure and of Rupture
- Fatigue
- Brittle Fracture
- Stress Concentration
- Effect of Form and Scale on Strength; Rupture Factor
- Prestressing
- Elastic Stability
- Tables: Mechanical Properties of Materials
- References

**4.**Principles and Analytical Methods**5.**Numerical Methods**6.**Experimental Methods**7.**Tension, Compression, Shear, and Combined Stress**8.**Beams; Flexure Straight Bars- Straight Beams (Common Case) Elastically Stressed
- Composite Beams and Bimetallic Strips
- Three-Moment Equation
- Rigid Frames
- Beams on Elastic Foundations
- Deformation Due to the Elasticity of Fixed Supports
- Beams under Simultaneous Axial and Transverse Loading
- Beams of Variable Section
- Slotted Beams
- Beams of Relatively Great Depth
- Beams of Relatively Great Width
- Beams with Wide Flanges; Shear Lag
- Beams with Very Thin Webs
- Beams Not Loaded in Plane of Symmetry; Flexural Center
- Straight Uniform Beams (Common Case); Ultimate Strength
- Plastic, or Ultimate Strength, Design
- Tables
- References

**9.**Curved Beams**10.**Torsion**11.**Flat Plates- Common Case
- Bending of Uniform-Thickness Plates with Circular Boundaries
- Circular-Plate Deflection Due to Shear
- Bimetallic Plates
- Nonuniform Loading of Circular Plates
- Circular Plates on Elastic Foundations
- Circular Plates of Variable Thickness
- Disk Springs
- Narrow Ring under Distributed Torque about Its Axis
- Bending of Uniform-Thickness Plates with Straight Boundaries
- Effect of Large Deflection; Diaphragm Stresses
- Plastic Analysis of Plates
- Ultimate Strength
- Tables
- References

**12.**Columns and Other Compression Members**13.**Shells of Revolution; Pressure Vessels; Pipes- Circumstances and General State of Stress
- Thin Shells of Revolution under Distributed Loadings Producing Membrane Stresses Only
- Thin Shells of Revolution under Concentrated or Discontinuous Loadings Producing Bending and Membrane Stresses
- Thin Multielement Shells of Revolution
- Thin Shells of Revolution under External Pressure
- Thick Shells of Revolution
- Pipe on Supports at Intervals
- Tables
- References

**14.**Bodies under Direct Bearing and Shear Stress**15.**Elastic Stability**16.**Dynamic and Temperature Stresses**17.**Stress Concentration**18.**Fatigue and Fracture**19.**Stresses in Fasteners and Joints**20.**Composite Materials- Composite Materials Classifications and Components
- Mechanics of Composite Materials
- Macromechanics of a Layer (Lamina)
- Micromechanics of a Layer (Lamina)
- Failure Criterion for a Layer (Lamina)
- Macromechanics of a Laminate
- Classical Lamination Theory
- Macromechanics of a Laminate: Stress and Strain in a Laminate
- Inversion of Stiffness Equation in a Laminate
- Example of Stresses and Strains in a Laminate
- Strength and Failure Analyses of Laminate
- Tables
- References

**21.**Solid Biomechanics- Introduction
- Biomechanics of Bone
- Biomechanics of Articular Cartilage
- Biomechanics of Tendons and Ligaments
- Biomechanics of Muscles
- Biomechanics of Joints
- Biomechanics of the Knee
- Biomechanics of the Hip
- Biomechanics of the Spine
- Biomechanics of the Lumbar Spine
- Biomechanics of the Cervical Spine
- Biomechanics of the Shoulder
- Biomechanics of the Elbow
- Human Factors in Design
- Implants and Prostheses
- Knee Implants
- Other Implants
- Biomaterials
- Tables
- References
- Glossary

**A.**Properties of a Plane Area**B.**Mathematical Formulas and Matrices- Algebraic Identities
- Trigonometric and Hyperbolic Identities
- Complex Relationships
- Derivatives of Elementary Functions
- Partial Derivatives
- Basic Differential Equations and Solutions
- Standard Integrals
- Series
- Equations of Basic Geometries
- Vector Formulas
- Geometric Properties
- Matrices and Determinants
- Eigen Values
- References

**C.**Glossary

**Book Details**

**Title: **Roark's Formulas for Stress and Strain, Eighth Edition

**Publisher: **The McGraw-Hill Companies, Inc.

**Copyright / Pub. Date: **2012

**ISBN: **9780071742474

**Authors:****Warren C. Young**
is professor emeritus of mechanical engineering at the University of Wisconsin, Madison, where he was on the faculty for more than 37 years.**Richard G. Budynas**
is professor emeritus of mechanical engineering at the Rochester Institute of Technology. He is the author of Advanced Strength and Applied Stress Analysis, Second Edition (McGraw-Hill, 1999), and coauthor of Shigley's Mechanical Engineering Design, Ninth Edition (McGraw-Hill, 2011).**Ali M. Sadegh**
is professor of mechanical engineering, former chairman of the department, and the founder and director of the Center for Advanced Engineering Design and Development at the City College of the City University of New York. He is a Fellow of ASME and SME. He is a coauthor of Marks' Standard Handbook for Mechanical Engineers, 11th Edition (McGraw-Hill, 2007).

**Description: **
Fully revised throughout, Roark’s Formulas for Stress and Strain, Eighth Edition, provides accurate and thorough tabulated formulations that can be applied to the stress analysis of a comprehensive range of structural components. All equations and diagrams of structural properties are presented in an easy-to-use, thumb-through format.
This extensively updated edition contains new chapters on fatigue and fracture mechanics, stresses in fasteners and joints, composite materials, and biomechanics. Several chapters have been expanded and new topics have been added. Each chapter now concludes with a summary of tables and formulas for ease of reference. This is the definitive resource for designers, engineers, and analysts who need to calculate stress and strain management.