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Lecture
Bending of Straight Beams
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Related lectures (36)
Stresses due to Flexure
Explores normal stresses in beams, bending moments, neutral axis, and maximum stresses.
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.
Beams under Flexure
Discusses stresses in beams under flexure, including shear forces and bending moments.
3D Linear Elasticity & Beams
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Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.
Structural Mechanics: Beam Bending and Boundary Conditions
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Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.
Simple Shear: General Notions and Applications
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Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.
Internal Equilibrium of Solids
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Covers internal equilibrium of solids, stress analysis, beam deformation, and rupture criteria.
Bending Beams: Constraints and Relative Deformation
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Explores quadratic moment, relative strains in beams, and pure flexion, focusing on neutral axis, curvature, and normal stresses.
Stiffness vs Strength: Deformation and Load
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Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.
Gaussian Curvature in Plates
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Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.
Plates: Deformation, Energy, Wrinkling
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Covers the deformation of plates in pure bending, total strain energy, and applications like wrinkling.
Nonlinear Beam Theory: Mechanics of Slender Structure
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Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.
Introduction to Structural Mechanics: Stress and Strain
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Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.
Beam Bending II: Internal Forces, Curvature, and Stiffness
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Covers advanced topics in beam bending, stress tensors, elasticity, and Atomic Force Microscopy.
Bending Beams: Moment of Inertia and Stress Analysis
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Explores moment of inertia in bending beams and stress analysis for beam sections.
Simple Traction or Compression
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Covers general notions and hypotheses of simple traction or compression, stress analysis, and strain energy in materials.
Stress and Strain Transformations
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Explores stress and strain transformations, main stresses, safety factors, and failure criteria in structural mechanics.
Plates III: Buckling Theory and Applications
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Explores Föppl-von Kármán plate theory, including buckling equations and an example of plate compression.
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