Engineering Mechanics Stresses, Strains, Displacements

ISBN-10: 1402041233
ISBN-13: 9781402041235
Edition: 2007
List price: $89.95 Buy it from $47.58
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Description: This work treats structural and continuum mechanics in a unified and consistent manner. All theoretical developments are presented both in the text and by means of an extensive set of figures. Text and figures complement each other, and this  More...

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Book details

List price: $89.95
Copyright year: 2007
Publisher: Springer
Publication date: 8/10/2007
Binding: Hardcover
Pages: 871
Size: 9.50" wide x 6.50" long x 1.50" tall
Weight: 3.784

This work treats structural and continuum mechanics in a unified and consistent manner. All theoretical developments are presented both in the text and by means of an extensive set of figures. Text and figures complement each other, and this twofold presentation is also used in the examples. Volume 2 covers stresses and strains in simple elements subjected to extension, bending, shear and torsion. For elementary structures like trusses, beams and frames, displacements due to simple loads are obtained using both classical mathematical descriptions with differential equations and engineering methods like Williot diagrams for (simple) trusses and "forget-me-nots" and moment-area formulae for bending.

Preface
Foreword
Material Behaviour
Tensile test
Stress-strain diagrams
Hooke's Law
Bar Subject to Extension
The fibre model
The three basic relationships
Strain diagram and normal stress diagram
Normal centre and bar axis
Mathematical description of the extension problem
Examples relating to change in length and displacement
Examples relating to the differential equation for extension
Formal approach and engineering practice
Problems
First moments of area; centroid and normal centre
Second moments of area
Thin-walled cross-sections
Formal approach and engineering practice
Problems4 Members Subject to Bending and Extension
The fibre model
Strain diagram and neutral axis
The three basic relationships
Stress formula and stress diagram
Examples relating to the stress formula for bending with extension
Section modulus
Examples of the stress formula related to bending without extension
General stress formula related to the principal directions
Core of the cross-section
Applications related to the core of the cross-section
Mathematical description of the problem of bending with extension
Thermal effects
Notes for the fibre model and summary of the formulas
Problems
Shear Forces and Shear Stresses Due to Bending
Shear forces and shear stresses in longitudinal direction
Examples relating to shear forces and shear stresses in the longitudinal direction
Shear stresses on a cross-sectional plane
Examples relating to the shear stress distribution in a cross-section
Shear centre
Other cases of shear
Summary of the formulas and rules
Problems
Bar Subject to Torsion
Material behaviour in shear
Torsion of bars with circular cross-section
Torsion of thin-walled cross-sections
Numerical examples
Summary of the formulas
Problems
Deformation of Trusses
The behaviour of a single truss member
Williot diagram
Williot diagram with rigid-body rotation
Williot'Mohr diagram
Problems
Deformation Due to Bending
Direct determination from the moment distribution
Differential equation for bending
Forget-me-nots
Moment area theorems
Simply supported beams and the M/EI diagram
Problems9 Unsymmetrical and Inhomogeneous Cross-Sections
Sketch of the problems and required assumptions
Kinematic relationships
Curvature and neutral axis
Normal force and bending moments ' centre of force
Constitutive relationships for unsymmetrical and/or inhomogeneous cross-sections
Plane of loading and plane of curvature ' neutral axis
The normal centre NC for inhomogeneous cross-sections
Stresses due to extension and bending ' a straightforward method
Applications of the straightforward method
Stresses in the principal coordinate method ' alternative method
Transformation formulae for the bending stiffness tensor
Application of the alternative method based on the principal directions
Displacements due to bending
Maxwell's reciprocal theorem
Core of a cross-section
Thermal effects
Shear flow and shear stresses in arbitrary cross-sections
Problems Index

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