Solution Manual
Mechanics Of Materials: An Integrated Learning System
By Timothy A. Philpot.
5th edition
,Table of content
Chapter 1 stress
1.1 Introduction
1.2 Normal stress under axial loading
1.3 Direct shear stress
1.4 Bearing stress
1.5 Stresses on inclined sections
1.6 Equality of shear stresses on perpendicular planes
Chapter 2 strain
2.1 Displacement, deformation, and the concept of strain
2.2 Normal strain
2.3 Shear strain
2.4 Thermal strain
Chapter 3 mechanical properties of materials
3.1 The tension test
3.2 The stress‐strain diagram
3.3 Hooke’s law
3.4 Poisson’s ratio
Chapter 4 design concepts
4.1 Introduction
4.2 Types of loads
4.3 Safety
4.4 Allowable stress design
4.5 Load and resistance factor design
Chapter 5 axial deformation
5.1 Introduction
5.2 Saint‐venant’s principle
5.3 Deformations in axially loaded bars
5.4 Deformations in a system of axially loaded bars
5.5 Statically indeterminate axially loaded members
5.6 Thermal effects on axial deformation
5.7 Stress concentrations
Chapter 6 torsion
6.1 Introduction
6.2 Torsional shear strain
6.3 Torsional shear stress
6.4 Stresses on oblique planes
6.5 Torsional deformations
6.6 Torsion sign conventions
6.7 Gears in torsion assemblies
6.8 Power transmission
6.9 Statically indeterminate torsion members
6.10 Stress concentrations in circular shafts under torsional loadings
6.11 Torsion of noncircular sections
6.12 Torsion of thin‐walled tubes: shear flow
,Chapter 7 equilibrium of beams
7.1 Introduction
7.2 Shear and moment in beams
7.3 Graphical method for constructing shear and moment diagrams
7.4 Discontinuity functions to represent load, shear, and moment
Chapter 8 bending
8.1 Introduction
8.2 Flexural strains
8.3 Normal strains in beams
8.4 Analysis of bending stresses in beams
8.5 Introductory beam design for strength
8.6 Flexural stresses in beams of two materials
8.7 Bending due to eccentric axial load
8.8 Unsymmetric bending
8.9 Stress concentrations under flexural loadings
Chapter 9 shear stress in beams
9.1 Introduction
9.2 Resultant forces produced by bending stresses
9.3 The shear stress formula
9.4 The first moment of area q
9.5 Shear stresses in beams of rectangular cross section
9.6 Shear stresses in beams of circular cross section
9.7 Shear stresses in webs of flanged beams
9.8 Shear flow in built‐up members
Chapter 10 beam deflections
10.1 Introduction
10.2 Moment‐curvature relationship
10.3 The differential equation of the elastic curve
10.4 Deflections by integration of a moment equation
10.5 Deflections by integration of shear‐force or load equations
10.6 Deflections using discontinuity functions
10.7 Method of superposition
Chapter 11 statically indeterminate beams
11.1 Introduction
11.2 Types of statically indeterminate beams
11.3 The integration method
11.4 Use of discontinuity functions for statically indeterminate beams
11.5 The superposition method
, Chapter 12 stress transformations
12.1 Introduction
12.2 Stress at a general point in an arbitrarily loaded body
12.3 Equilibrium of the stress element
12.4 Two‐dimensional or plane stress
12.5 Generating the stress element
12.6 Equilibrium method for plane stress transformation
12.7general equations of plane stress transformation
12.8 Principal stresses and maximum shear stress
12.9 Presentation of stress transformation results
12.10 Mohr’s circle for plane stress
12.11 General state of stress at a point
Chapter 13 strain transformations
13.1 Introduction
13.2 Two‐dimensional or plane strain
13.3 Transformation equations for plane strain
13.4 Principal strains and maximum shearing strain
13.5 Presentation of strain transformation results
13.6 Mohr’s circle for plane strain
13.7 Strain measurement and strain rosettes
13.8 Generalized hooke’s law for isotropic materials
Chapter 14 thin‐walled pressure vessels
14.1 Introduction
14.2 Spherical pressure vessels
14.3 Cylindrical pressure vessels
14.4 Strains in pressure vessels
Chapter 15 combined loads
15.1 Introduction
15.2 Combined axial and torsional loads
15.3 Principal stresses in a flexural member
15.4 General combined loadings
15.5 Theories of failure
Chapter 16 columns
16.1 Introduction
16.2 Buckling of pin‐ended columns
16.3 The effect of end conditions on column buckling
16.4 The secant formula
16.5 Empirical column formulas & centric loading
16.6 Eccentrically loaded columns
Mechanics Of Materials: An Integrated Learning System
By Timothy A. Philpot.
5th edition
,Table of content
Chapter 1 stress
1.1 Introduction
1.2 Normal stress under axial loading
1.3 Direct shear stress
1.4 Bearing stress
1.5 Stresses on inclined sections
1.6 Equality of shear stresses on perpendicular planes
Chapter 2 strain
2.1 Displacement, deformation, and the concept of strain
2.2 Normal strain
2.3 Shear strain
2.4 Thermal strain
Chapter 3 mechanical properties of materials
3.1 The tension test
3.2 The stress‐strain diagram
3.3 Hooke’s law
3.4 Poisson’s ratio
Chapter 4 design concepts
4.1 Introduction
4.2 Types of loads
4.3 Safety
4.4 Allowable stress design
4.5 Load and resistance factor design
Chapter 5 axial deformation
5.1 Introduction
5.2 Saint‐venant’s principle
5.3 Deformations in axially loaded bars
5.4 Deformations in a system of axially loaded bars
5.5 Statically indeterminate axially loaded members
5.6 Thermal effects on axial deformation
5.7 Stress concentrations
Chapter 6 torsion
6.1 Introduction
6.2 Torsional shear strain
6.3 Torsional shear stress
6.4 Stresses on oblique planes
6.5 Torsional deformations
6.6 Torsion sign conventions
6.7 Gears in torsion assemblies
6.8 Power transmission
6.9 Statically indeterminate torsion members
6.10 Stress concentrations in circular shafts under torsional loadings
6.11 Torsion of noncircular sections
6.12 Torsion of thin‐walled tubes: shear flow
,Chapter 7 equilibrium of beams
7.1 Introduction
7.2 Shear and moment in beams
7.3 Graphical method for constructing shear and moment diagrams
7.4 Discontinuity functions to represent load, shear, and moment
Chapter 8 bending
8.1 Introduction
8.2 Flexural strains
8.3 Normal strains in beams
8.4 Analysis of bending stresses in beams
8.5 Introductory beam design for strength
8.6 Flexural stresses in beams of two materials
8.7 Bending due to eccentric axial load
8.8 Unsymmetric bending
8.9 Stress concentrations under flexural loadings
Chapter 9 shear stress in beams
9.1 Introduction
9.2 Resultant forces produced by bending stresses
9.3 The shear stress formula
9.4 The first moment of area q
9.5 Shear stresses in beams of rectangular cross section
9.6 Shear stresses in beams of circular cross section
9.7 Shear stresses in webs of flanged beams
9.8 Shear flow in built‐up members
Chapter 10 beam deflections
10.1 Introduction
10.2 Moment‐curvature relationship
10.3 The differential equation of the elastic curve
10.4 Deflections by integration of a moment equation
10.5 Deflections by integration of shear‐force or load equations
10.6 Deflections using discontinuity functions
10.7 Method of superposition
Chapter 11 statically indeterminate beams
11.1 Introduction
11.2 Types of statically indeterminate beams
11.3 The integration method
11.4 Use of discontinuity functions for statically indeterminate beams
11.5 The superposition method
, Chapter 12 stress transformations
12.1 Introduction
12.2 Stress at a general point in an arbitrarily loaded body
12.3 Equilibrium of the stress element
12.4 Two‐dimensional or plane stress
12.5 Generating the stress element
12.6 Equilibrium method for plane stress transformation
12.7general equations of plane stress transformation
12.8 Principal stresses and maximum shear stress
12.9 Presentation of stress transformation results
12.10 Mohr’s circle for plane stress
12.11 General state of stress at a point
Chapter 13 strain transformations
13.1 Introduction
13.2 Two‐dimensional or plane strain
13.3 Transformation equations for plane strain
13.4 Principal strains and maximum shearing strain
13.5 Presentation of strain transformation results
13.6 Mohr’s circle for plane strain
13.7 Strain measurement and strain rosettes
13.8 Generalized hooke’s law for isotropic materials
Chapter 14 thin‐walled pressure vessels
14.1 Introduction
14.2 Spherical pressure vessels
14.3 Cylindrical pressure vessels
14.4 Strains in pressure vessels
Chapter 15 combined loads
15.1 Introduction
15.2 Combined axial and torsional loads
15.3 Principal stresses in a flexural member
15.4 General combined loadings
15.5 Theories of failure
Chapter 16 columns
16.1 Introduction
16.2 Buckling of pin‐ended columns
16.3 The effect of end conditions on column buckling
16.4 The secant formula
16.5 Empirical column formulas & centric loading
16.6 Eccentrically loaded columns
