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- https://eng.libretexts.org/Courses/Bucknell_University/CEEG_445%3A_Environmental_Engineering_Chemistry_(Fall_2020)/02%3A_Equilibrium/2.04%3A_Le_Chateliers_PrincipleSystems at equilibrium can be disturbed by changes to temperature, concentration, and, in some cases, volume and pressure; volume and pressure changes will disturb equilibrium if the number of moles o...Systems at equilibrium can be disturbed by changes to temperature, concentration, and, in some cases, volume and pressure; volume and pressure changes will disturb equilibrium if the number of moles of gas is different on the reactant and product sides of the reaction. The system's response to these disturbances is described by Le Châtelier's principle: The system will respond in a way that counteracts the disturbance. Not all changes to the system result in a disturbance of the equilibrium.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_of_Materials_(Roylance)/01%3A_Tensile_Response_of_Materials/1.01%3A_Introduction_to_Elastic_ResponseThis page covers the mechanics of elastic response in materials, focusing on concepts like stress, strain, and ultimate tensile strength (UTS). It details testing methods for material strength, includ...This page covers the mechanics of elastic response in materials, focusing on concepts like stress, strain, and ultimate tensile strength (UTS). It details testing methods for material strength, including the tension test and evaluating rods under load. Key principles such as stiffness, Hooke's Law, and Young's modulus are introduced to understand deformation.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_of_Materials_(Roylance)/03%3A_General_Concepts_of_Stress_and_Strain/3.01%3A_KinematicsThis page explores kinematic equations relating strain to displacement in loaded bodies, distinguishing rigid body motion from stretching due to varying displacements. It details normal and shear stra...This page explores kinematic equations relating strain to displacement in loaded bodies, distinguishing rigid body motion from stretching due to varying displacements. It details normal and shear strains in matrix and vector forms, emphasizing volumetric strain as a component of total strain.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_of_Materials_(Roylance)/07%3A_Appendices/7.02%3A_Matrix_and_Index_NotationThis page discusses vector and matrix notation, emphasizing Cartesian representation of vectors and second-rank tensors using \(3\times 3\) matrices. It covers summation conventions for repeated indic...This page discusses vector and matrix notation, emphasizing Cartesian representation of vectors and second-rank tensors using \(3\times 3\) matrices. It covers summation conventions for repeated indices, matrix multiplication, and differentiation through the comma convention. The Kronecker delta is introduced, connecting it to the identity matrix and its relevance in tensor calculus, particularly in stress component applications.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_of_Materials_(Roylance)/04%3A_Bending/4.04%3A_Laminated_Composite_PlatesThis page covers the mechanics and analysis of fiber-reinforced laminated plates, focusing on strain-curvature relationships, stress transformations using matrix representations, and the principles of...This page covers the mechanics and analysis of fiber-reinforced laminated plates, focusing on strain-curvature relationships, stress transformations using matrix representations, and the principles of Classical Laminate Theory. It discusses computational methods for analyzing thermal and viscoelastic effects in composites, emphasizes the significance of coupling matrices, and suggests algorithms for integrating viscoelastic responses.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_of_Materials_(Roylance)/07%3A_Appendices/7.04%3A_Unit_Conversion_FactorsThis page offers a collection of physical constants and unit conversions across various categories, including density, energy, force, length, mass, power, stress, and toughness. It provides equivalenc...This page offers a collection of physical constants and unit conversions across various categories, including density, energy, force, length, mass, power, stress, and toughness. It provides equivalences between units, such as the conversion of 1 Mg/m³ to 1 gm/cm³ and of 1 J to calories and Btu. The page also lists fundamental physical constants like the Boltzmann constant, gas constant, Avogadro constant, and gravitational acceleration.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_of_Materials_(Roylance)/04%3A_BendingThis page discusses the relationships between stresses, deflections, and loads for beams and flat plates under bending. It outlines methods for analyzing bending problems, focusing on shear and bendin...This page discusses the relationships between stresses, deflections, and loads for beams and flat plates under bending. It outlines methods for analyzing bending problems, focusing on shear and bending moment diagrams, beam stresses, and displacements. The section emphasizes predicting deflection limits and understanding material properties, utilizing a pseudovector-matrix notation to extend concepts from beams to flat plates.
- https://eng.libretexts.org/Bookshelves/Introductory_Engineering/EGR_1010%3A_Introduction_to_Engineering_for_Engineers_and_Scientists/14%3A_Fundamentals_of_Engineering/14.11%3A_Mechanics/14.11.04%3A_Solid_MechanicsSolid mechanics deals deformations of bodies (such as stresses and strains). Sometimes this is referred to materials which can be confused with materials science. Solid mechanics is a better term.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_of_Materials_(Roylance)/01%3A_Tensile_Response_of_MaterialsThis page covers fundamental concepts of materials' mechanical responses, with an emphasis on uniaxial tension and elastic behavior. It introduces stress and strain, highlighting how atomic-level bond...This page covers fundamental concepts of materials' mechanical responses, with an emphasis on uniaxial tension and elastic behavior. It introduces stress and strain, highlighting how atomic-level bonding influences material stiffness. The text also notes the complexity of mechanical properties, paving the way for future discussions on composite materials and stress-strain curves.
- https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_of_Materials_(Roylance)/03%3A_General_Concepts_of_Stress_and_Strain/3.04%3A_Constitutive_RelationsThis page explores the interrelation of kinematics, equilibrium, and constitutive relations in Mechanics of Materials, focusing on elastic constants affected by processing and microstructure. It detai...This page explores the interrelation of kinematics, equilibrium, and constitutive relations in Mechanics of Materials, focusing on elastic constants affected by processing and microstructure. It details isotropic materials and stress tensor decomposition into hydrostatic and distortional components, discussing their impact on material behavior. The distinctions between true and engineering stress in deformation are examined, along with adaptations for anisotropic materials.
