Mechanics of SolidsThis text is the primary recommendation of the UK Engineering Council Faculty of Technology to all British universities as of approved standard and quality for use as a text for the Board's own examinations. It introduces the fundamental concepts and principles of statics and stress analysis as the essential reading for first year engineering students. Worked examples from the authors experience reinforce comprehension of key concepts. Tutorial solutions with explanation in extended detail have been provided for students. Key elements include: use of free-body diagrams to help problem solving; coverage of composite materials; torsion of circular and non-circular sections; and the matrix-displacement method.
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Contents
| 1 | |
Chapter 2 Stress and Strain | 54 |
Chapter 3 Geometrical properties of symmetrical sections | 88 |
Chapter 4 Bending stresses in beams | 108 |
Chapter 5 Beam deflections due to bending | 133 |
Chapter 6 Torsion | 154 |
Chapter 7 Complex stress and strain | 190 |
Chapter 8 Membrane theory for thinwalled circular cylinders and spheres | 233 |
Chapter 10 Theories of elastic failure | 297 |
Chapter 11 Thick cylinders and spheres | 309 |
Chapter 12 The buckling of struts | 340 |
Chapter 13 Unsymmetrical bending of beams | 362 |
Chapter 14 Shear stresses in bending and shear deflections | 384 |
Chapter 15 The matrix displacement method | 417 |
Chapter 16 Experimental strain analysis | 429 |
| 451 | |
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Common terms and phrases
aluminium alloy angle of twist applied assumed axes axial load beam of Figure bending moment cable calculate cantilever centroid circular circular-section compressive Consider cylinder Determine the maximum distance due to bending dx² elastic modulus electrical resistance element equilibrium EXAMPLE external F₁ flange hoop stress internal diameter internal pressure kN/m Lamé line length longitudinal M₁ magnitude material maximum deflection maximum permissible maximum shear stress maximum stress MN/m² moment of area N/m² neutral axis obtained pin-jointed truss plane plastic R₁ radius shaft shear strain shear stress shearing force diagrams shell shown in Figure SOLUTION statically statically indeterminate steel strain energy strain gauge stress distribution structure Substituting equation T₁ T₂ tensile tensile stress theory thin-walled torque torsion tube U₁ V₁ vertical shearing Young's modulus ΕΙ σ₁