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Indeterminate Systems
The key to resolving our predicament, when faced with a statically indeterminate problem - one…
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Internal Forces and Moments in Beams
A beam is a structural element like the truss member but, unlike the latter, it…
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Internal Forces in Members of a Truss Structure
We are ready to start talking business, to buy a loaf of bread. Up until…
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Static Equilibrium Force and Moment
The correct response is zero: For a particle at rest, or moving with constant velocity…
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Equations of motion of linear elastic bodies
The final equations of the purely mechanical theory of linear elasticity (i.e., when coupling with…
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Finite elastic deformations
When elastic response under arbitrary deformation gradients is considered—because rotations, if not strains, are large…
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Thermodynamic considerations
In thermodynamic terminology, a state of purely elastic material response corresponds to an equilibrium state,…
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Thermal strains
Temperature change can also cause strain. In an isotropic material the thermally induced extensional strains…
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Stress-strain relations
Linear elastic isotropic solid The simplest type of stress-strain relation is that of the linear…
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Finite deformation and strain tensors
In the theory of finite deformations, extension and rotations of line elements are unrestricted as…