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Lecture
Principal Stresses in 2D and 3D
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Related lectures (32)
Normal Stresses: Internal Stress and Strain
Introduces internal stress and strain, material properties, and design considerations for axial loads and direct shear.
Plane Stress Analysis: Equilibrium and Transformation
Explores plane stress analysis, including inclined planes, stress transformation, principal stresses, and shear stresses.
Principal Stresses and Mohr's Circle
Explores principal stresses, Mohr's Circle, triaxial stress, Hooke's Law, and strain measurements.
Geomechanics: Basic Concepts
Introduces basic geomechanics concepts, stress paths, and the critical state concept.
Centroids and Stress-Strain Diagrams
Explains centroids of plane areas and normal stresses in beams.
Deformation and Strain Tensors
Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.
Geomechanics: Course Introduction
Introduces the study of geomechanics, covering the behavior of soils, rocks, and concrete in civil engineering applications.
Shear Center of Cross Sections
Introduces shear center in cross sections, unsymmetric loading, shear stresses, bending effects, and stress analysis at inclined sections.
Torsion of Axisymmetric Cross Sections
Explores the torsion of axisymmetric cross sections, focusing on circular bars of linearly elastic materials and their efficiency in resisting torsional loads.
3D Linear Elasticity & Beams
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Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Introduction to Structural Mechanics: Stress and Strain
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Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.
Stress Components & Transformation of Tensors
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Covers stress components, tensor transformation, and invariants in continuum mechanics.
Stress and Strain Transformations
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Explores stress and strain transformations, main stresses, safety factors, and failure criteria in structural mechanics.
The stress tensor: representation and properties
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Explores the stress tensor representation, interpretation, and properties, emphasizing the sign convention for normal and shear stresses.
Linear Elasticity (3D)
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Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.
Linear Elasticity in 3D: Beam Bending
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Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.
Stiffness vs Strength: Deformation and Load
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Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.
Stress and Strain (beyond 1D)
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Covers stress and strain beyond 1D, focusing on hyperstatic systems with pre-stressed elements and internal loads.
Stress & Strain in Structural Mechanics
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Covers stress, strain, equilibrium, forces, deformation, constitutive law, and photoelasticity in structural mechanics.
Elasticity and Beam Bending
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Explores linear elasticity, stress-strain relationships, and beam bending kinematics with a focus on stress tensors and internal forces.
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