Monday, July 11, 2011

Statics and strength of materials

  1 The effects of forces on materials
    1.1 Introduction
    1.2 Tensile force
    1.3 Compressive force
    1.4 Shear force
    1.5 Stress
    1.6 Strain
    1.7 Elasticity, limit of proportionality and elastic limit
    1.8 Hooke’s law
    1.9 Ductility, brittleness and malleability
    1.10 Modulus of rigidity
    1.11 Thermal strain
    1.12 Compound bars

  2 Tensile testing
     2.1 The tensile test
     2.2 Worked problems on tensile testing
     2.3 Further worked problems on tensile testing

  3 Forces acting at a point
     3.1 Scalar and vector quantities
     3.2 Centre of gravity and equilibrium
     3.3 Forces
     3.4 The resultant of two coplanar forces
     3.5 Triangle of forces method
     3.6 The parallelogram of forces method
     3.7 Resultant of coplanar forces by calculation
     3.8 Resultant of more than two coplanar forces
     3.9 Coplanar forces in equilibrium
     3.10 Resolution of forces
     3.11 Summary

  4 Forces in structures
     4.1 Introduction
     4.2 Worked problems on mechanisms and pin-jointed trusses
     4.3 Graphical method
     4.4 Method of joints (mathematical method)
     4.5 The method of sections(a mathematical method)

  5 Simply supported beams
     5.1 The moment of a force
     5.2 Equilibrium and the principle of moments
     5.3 Simply supported beams having point loads
     5.4 Simply supported beams with couples

  6 Bending moment and shear force diagrams
     6.1 Introduction
     6.2 Bending moment
     6.3 Shearing force
     6.4 Worked problems on bending moment and shearing force diagrams
     6.5 Uniformly distributed loads

  7 First and second moment of areas
     7.1 Centroids
     7.2 The first moment of area
     7.3 Centroid of area between a curve and the x-axis
     7.4 Centroid of area between a curve and the y-axis
     7.5 Worked problems on centroids of simple shapes
     7.6 Further worked problems on centroids of simple shapes
     7.7 Second moments of area of regular sections
     7.8 Second moment of area for ‘built-up’ sections





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