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MECHANICS OF SOLID
1 . Statics
1.1 Introduction
1.2 Plane pin-jointed trusses
1.3 Criterion for sufficiency of bracing
1.4 Elementary mathematics
1.5 Equilibrium consideration
1.6 Bending moment and shearing force
1.7 Loads
1.8 Types of beam
1.9 Bending moment and shearing force Diagrams
1.10 Points of contraflexure
1.11 Relation between bending moment (M), shearing force (F),and intensity of load (w)
1.12 Cables
1.13 Suspension bridges examples for practice1
2.Stress and strain
2.1 Introduction
2.2 Hook’s law
2.3 Load-extension relationships
2.4 Proof stress
2.5 Ductility
2.6 Shear stress and shear strain
2.7 Poisson’s ratio (v)
2.8 Hydrostatic stress
2.9 Relationship between the material constant E,G,K & v
2.10 Three-dimensional stress
2.11 composite materials
2.12 Thermal strain
2.13 Compound materials
2.14 Failure by fatigue
2.15 failure due to creep Examples for practice
3 .Geometrical properties of symmetrical section
3.1 Introduction
3.2 Centroid
3.3 Second moment of area
3.4 Polar second moment of area
3.5 Parallel axes theorem
3.6 Perpendicular axes theorem
3.7 Calculation of I through numerical integration
Examples for practice 3
4 Bending stresses in beams
4.1 Introduction
4.2 Proof of 
/
=M/I=E/R
4.3 Sectional modulus (Z)
4.4 Anticlastic curvature
4.5 Composite beams
4.6 Flitched beams
4.7 Composite ship structures
4.8 Composite structures
4.9 Combined bending and direct stress
Examples for practice 4
5 Beam deflection due to bending
5.1 Introduction
5.2 Repeated integration method
5.3 Macaulay’s method
5.4 Statically indeterminate beams
5.5 Moment –area method
5.6 Slope-deflection equations
Examples for practice 5
6 Torsion
6.1 Introduction
6.2 Torque(T)
6.3 Assumptions made
6.4 Proof of 
/
=T/J=G
/
6.5 Flanged couplings
6.6 Keyed couplings
6.7 Compounds shafts
6.8 Tapered shafts
6.9 Close-coiled helical springs
6.10 Torsion of thin-walled non-circular sections
6.11 Torsion of thin-walled rectangular sections
6.12 Torsion of thin-walled open section
6.13 Elastic-plastic torsion of circular-section shafts
Examples for practice 6
7 complex stress and strain
7.1 Introduction
7.2 To obtai
7.3 To obtain
1and 
)
7.4 Mohr’s stress circle
7.5 Combined bending and torsion
7.6 Two-dimensional strain systems
7.7 Principal strains(£1and£2 )
7.8 Mohr’s circle of strain
7.9 Stress-strain relationship for plane stress
7.10Stress-strain relationship for plane strain
7.11Pure shear
7.12Strain rosettes
7.13Computer program for principal stress and strains
7.14The constitutive laws for a lamina of a composite in global co-ordinates
Examples for practice 7
8 Membrane theory for thin-walled circular cylinders and spheres
8.1 introduction
8.2 circular cylindrical shells under uniform internal pressure
8.3 thin-walled spherical shells under uniform internal pressure
8.4 bending stress in circular cylinders under uniform pressure
8.5 circular cylindrical shell with hemispherical ends
Example for practice 8
9 Energy methods
9.1 Introduction
9.2 The method of minimum potential (Rayleigh-Ritz)
9.3 The principal of virtual work
9.4 The principal of complementary virtual work
9.5 Castigliano’s first theorem
9.6 Castigliano’s second theorem
9.7 Strain energy stored in a rod under axial loading
9.8 Strain energy stored in a beam subjected to couples of magnitude M at its ends
9.9 Strain energy due to a torque T stored in a uniform circular section shafts
9.10Deflection of thin curved beams
9.11Suddenly applied and impact loads
9.12Resilience
9.13Unit load method
9.14Plastic collapse of beams
9.15Residual stresses in beams
Example for practice 9
10 Theories of Elastic failure
10.1Introduction
10.2Maximum principal stress theory (Rankine)
10.3 Maximum principal strain theory(St Venant)
10.4Total strain energy theory(Beltrami and Haigh)
10.5Maximum shear stress theory (Tresca)
10.6Maximum shear strain energy theory (Hencky and von Mises
10.7Yield loci
10.8Conclusions
Example for practice 10
11 Thick cylinders and spheres
11.1Introduction
11.2Derivation of the hoop and redial stress equation for a thick-walled cylinder
11.3Lam’e line
11.4Compound cylinders
11.5Plastic yielding of thick tubes
11.6Thick spherical shells
11.7Rotating discs
11.8Plastic collapse of discs
11.9Rotating rings
Example for practice 11
12 The bulking of struts
12.1Introduction
12.2Axially loaded struts
12.3Elastic instability of very long slender struts
12.4Struts with various boundary conditions
12.5Limit of application of Euler theory
12.6Rankine-Gordon formula
12.7Effects of geometrical imperfections
12.8Eccentrically loaded struts
12.9Struts with initial curvature
12.10 Perry-Robertson formula
12.11 Dynamic instability
Example for practice 12
13 Unsymmetrical bending of beams
13.1Introduction
13.2Symmetrical-section beams loaded asymmetrically
13.3Unsymmetrical sections
13.4Calculation of bending
13.5Mohr’s circle of inertia
13.6Stresses in beams of asymmetrical section
Example for practice 13
14 shear stresses in bending and shear defections
14.1Introduction
14.2Vertical shearing stresses
14.3Horizontal shearing stresses
14.4Shear centre
14.5Shear centre position for closed thin-walled tubes
14.6Shear deflection
14.7Warping
Example for practice 14
15 The matrix displacement method
15.1Introduction
15.2The matrix displacement method
15.3The structural stiffness matrix [K]
15.4Elemental stiffness matrix for a plane rod
Example for practice 15
16 Experimental strain analysis
16.1Introduction
16.2Electrical resistance strain gauges
16.3Types of electrical resistance strain gauge
16.4Gauge material
16.5Gauges adhesives
16.6Water-proofing
16.7Other strain gauges
16.8Gauge circuits
16.9Photo elasticity
16.10 Moire fringes
16.11 Brittle lacquer techniques
16.12 Semi conductor strain gauges
16.13 Acoustical gauges