PREFACE
1 STRESS
1.1 introduction
1.2 equilibrium of a deformable Body
1.3 stress
1.4 Average Normal stress in an Axially loaded bar
1.5 Average shear stress
1.6 Allowable stress
2 STRAIN
2.1 deformation
2.2 strain
3 mechanical properties of materials
3.1 The tension and compression test
3.2 The stress-Strain Diagram
3.3 stress-strain behavior of ductile and brittle materials
3.4 Hooke’s law
3.5 strain energy
3.6 Poisson’s ratio
3.7 the shear stress-strain diagram
3.8 failure of materials due to creep and fatigue
4 axial load
4.1 Saint-Venant’s principle
4.2 Elastic deformation of an axially loaded member
4.3 principle of superposition
4.4 statically indeterminate axially loaded member
4.5 the force method of analysis for axially loaded members
4.6 thermal stress
4.7 stress concentrations
4.8 inelastic axial deformation
4.9 residual stress
5 torsion
5.1 Torsional deformation of a circular shaft
5.2 the torsion formula
5.3 power transmission
5.4 angle of twist
5.5 statically indeterminate torque-loaded members
5.6 solid noncircular shafts
5.7 thin-walled tubes having closed cross section
5.8 stress concentration
5.9 inelastic torsion
5.10 residual stress
6 bending
6.1 shear and moment diagrams
6.2 graphical method for constructing shear and moment
diagrams
6.3 bending deformation of a straight member
7 TRANSVERSE SHEAR
7.1 Shear in Straight Members
7.2 The Shear Formula
7.3 Shear Stresses in Beams
7.4 Shear Flow in Built-up Members
7.5 Shear Flow in Thin-Walled Members
7.6 Shear Center
8 COMBINED LOADINGS
8.1 Thin-Walled Vessels
8.2 State of Stress Caused by Combined Loadings
9 STRESS TRANSFORMATION
9.1 Plane-Stress Transformation
9.2 General Equations of Plane-Stress Transformation
9.3 Principal Stresses and Maximum In-Plane Shear Stress
9.4 Mohr’s Circle——Plane Stress
9.5 Stress in Shafts Due to Axial Load and Torsion
9.6 Stress Variations Throughout a Prismatic Beam
9.7 Absolute Maximum Shear Stress
10 STRAIN TRANSFORMATION
10.1 Plane Strain
10.2 General Equations of Plane-Strain Transformation
10.3 Mohr''s Circle——Plane Strain
10.4 Absolute Maximum Shear Strain
10.5 Strain Rosettes
10.6 Material-Property RelatiOnshiDs5
10.7 Theories of Failure
11 DESIGN OF BEAMS AND SHAFTS
11.1 Basis for Beam Design
11.2 Prismatic Beam Design
11.3 Fully Stressed Beams
11.4 Shaft Design
12 DEFLECTIONS OF BEAMMS AND SHAFIS
12.1 The Elastic Curve
12.2 Slope and Displacement by Integration
12.3 Discontinuity Functions
12.4 Slope and Displacement by the Moment-Area Method
12.5 Method of Superposition
12.6 Statically Indeterminate Beams and Shafts
12.7 Statically Indeterminate Beams and Shafts-Method of
Integration
12.8 Statically Indeterminate Beams and Shafts Moment-Area
Method
12.9 Statically Indeterminate Beams and Shaft-Method of
Superposition
13 BUCKLING OF COLUMNS
13.1 critical Load
13.2 Ideal Column with Pin Supports
13.3 Columns Having Various Types of Supports
13.4 The Secant Formula
13.5 Inelastic Buckling
13.6 Design of Columns for Concentric Loading
13.7 Design of Columns for Eccentric Loading
14 ENERGY METHODS
A GEOMETRIC PROPERTIES OF AN AREA
B GEOMETRICAL PROPERTIES OF STRUCTURAL SHAPES
C SLOPES AND DEFLECTIONS OF BEAMS
D REVIEW FOR THE FUNDAMENTALS OF ENGINEERING EXAM
ANSWERS
INDEX