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Mechanics of Materials
Mechanics of Materials
Stress, strain, and deformation of loaded members.
Chapters
14 chapters · 14 problem sets
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1
Stress
Internal loadings, the concept of stress, and the design of simple axially and shear-loaded members.
Problems
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2
Strain
How deformation is measured: normal strain, shear strain, and the small-strain assumption.
Problems
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3
Mechanical Properties of Materials
Relating stress to strain by experiment: the stress–strain diagram, Hooke's law, and the key material properties used in design.
Problems
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4
Axial Load
Deformation of axially loaded members, statically indeterminate problems, thermal stress, and stress concentrations.
Problems
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5
Torsion
Shear stress and twist in circular shafts, power transmission, indeterminate shafts, and thin-walled tubes.
Problems
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6
Bending
Shear and moment diagrams, the flexure formula, and bending of unsymmetric, composite, and curved members.
Problems
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7
Transverse Shear
Shear stress in beams, fastener design via shear flow, and the shear center of thin-walled sections.
Problems
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8
Combined Loadings
Stresses in pressure vessels, and superposition of axial, shear, bending, and torsional stresses at a point.
Problems
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9
Stress Transformation
How the stress components at a point change with the element's orientation — principal stresses, maximum shear, and Mohr's circle.
Problems
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10
Strain Transformation
Transforming strain at a point, strain-gage rosettes, generalized Hooke's law, and the theories of failure.
Problems
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11
Design of Beams and Shafts
Selecting beam sections for bending and shear, shaping fully stressed beams, and sizing shafts under combined bending and torsion.
Problems
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12
Deflection of Beams and Shafts
The elastic curve, four methods for slopes and deflections, and the solution of statically indeterminate beams.
Problems
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13
Buckling of Columns
Stability of slender compression members: the Euler load, effective lengths, eccentric loading, and column design.
Problems
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14
Energy Methods
Work and strain energy, impact loads, and deflections by virtual work and Castigliano's theorem.
Problems
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