材料力学

前言
LIST OF SYMBOLS
SI Units
1 Introduction(1)
1.1 The Task of Mechanics of Materials(1)
1.2 Basic Assumptions of Deformable Solid Bodies(2)
1.3 Geometrical Characteristics of the Members(3)
1.4 Analysis of Internal Forces; Stress(4)
1.5 Basic Forms of Rod Deformation(7)
2 Axially Loaded Bars(9)
2.1 Introduction(9)
2.2 Internal Forces(9)
2.3 Stresses on Cross-sections and Oblique-sections(11)
2.4 Axial Deformation; Normal Strain(17)
2.5 Stress-strain Diagram in Tensile Test(18)
2.6 Stress-strain Diagram in Compressive Test(24)
2.7 Deformations of Rods under Axial Loading; Hooke's Law(26)
2.8 Allowable Stress; Factor of Safety(30)
2.9 Statically Indeterminate Problems(34)
2.10 Problems Involving Manufacture Errors and Temperature Changes(39)
2.11 Stress Concentrations(44)
Problems(47)
3 Shearing and Bearing(56)
3.1 Introduction(56)
3.2 Shear Stress(57)
3.3 Bearing Stress(58)
Problems(66)
4 Torsion(71)
4.1 Introduction(71)
4.2 Torsion of Circular Shafts(72)
4.3 Design of Transmission Shafts(76)
4.4 Angle of Twist in the Elastic Range;Design of Transmission Shafts for Stiffness( 81 )
4.5 Statically Indeterminate Shafts(85)
4.6 Torsion of Noncircular Members(88)
4.7 Thin-walled Hollow Shafts(90)
Problems(94)
5 Shear and Moment in Beams(99)
5.1 Introduction(99)
5.2 Supports and Loads(100)
5.3 Shear and Bending-moment Diagrams(101)
5.4 Relations among Load, Shear,and Bending Moment(107)
5.5 Moving Loads(114)
5.6 Internal-Force Diagrams of Rigid Frames and Curved Bars(118)
Problems(120)
6 Stresses in Beams(124)
6.1 \Introduction(124)
6.2 Bending Stresses in Prismatic Beams in Pure Bending(124)
6.3 Economic Sections(136)
6.4 Shear Stress in Beams(139)
6.5 Design for Flexure and Shear(148)
6.6 Design of Fasteners in Built-up Beams(151)
6.7 Shear Flow in Thin-Walled Beams(153)
6.8 Shear Center(155)
6.9 Unsymmetrical Bending(160)
6.10 Beams of Constant Strength(165)
Problems(168)
7 Deflection of Beams(179)
7.1 Introduction(179)
7.2 Equation of the Elastic Curve;Double Integration Method(179)
7.3 Method of Superposition(186)
7.4 Statically Indeterminate Beams(193)
7.5 Deflection of Beams in Unsymmetric Bending(202)
Problems(205)
8 Transformations of Stress and Strain
8.1 Introduction(211)
8.2 Preliminary Discussion of Transformation of Stress(212)
8.3 Transformation of Plane Stress(214)
8.4 Mohr's Circle for Plane Stress(222)
8.5 Absolute Maximum Shear Stress(228)
8.6 Theories of Failure(231)
8.7 Transformation of Strain; Mohr's Circle for Strain(239)
8.8 The Strain Rosette(246)
8.9 Muhiaxial Loading; Generalized Hooke's Law(249)
Problems(254)
9 Stresses due to Combined Loads(260)
9.1 Introduction(260)
9.2 Thin-Walled Pressure Vessels(260)
9.3 Combined of Axial and Lateral Loads(264)
9.4 Eccentric Axial Loading(267)
9.5 Combination of Torsion and Bending;Design of Transmission Shafts(278)
Problems(281)
10 Energy Method(288)
10.1 Introduction(288)
10.2 Strain Energy and Strain Energy Density(288)
10.3 Impact Loading(299)
10.4 Design for Impact Loading(303)
10.5 Work and Energy under Several Loads; Maxwell's Reciprocal Theorem(306)
10.6 Castigliano's Theorem(309)
10.7 Statically Indeterminate Structures(314)
Problems(317)
11 Columns(324)
11.1 Introduction(324)
11.2 Euler's Formula for Pin-Ended Columns(326)
11.3 Extension of Euler's Formula to Columns with Other End Conditions(329)
11.4 Applicability of Euler's Formula;Critical Stress Diagram(334)
11.5 Discount-Coefficient Method(342)
11.6 Optimization of Column Design for Stability(348)
Problems(354)
Appendix A Moments of Areas(361)
A.1 First moment of an area; Centriod(361)
A.2 Determination of the first moment and centroid of a composite area(363)
A.3 Second moment, or moment of inertia, of an area; Radius of gyration(366)
A.4 Parallel-axis theorem(369)
A.5 Determination of the moment of interia of a composite area(370)
A.6 Product of inertia for an area(372)
A.7 Moments of inertia for an area about inclined axes(375)
A.8 Mohr's circle for moments of inertia(378)
Problems(384)
Appendix B Typical Properties of Selected Materials Used in Engineering(388)
Appendix C Properties of Rolled-Steel Shapes(390)
ANSWERS(403)