Lectures in course ME-231(b): Structural mechanics for SV

Beam Bending: Understanding Deformation and Resistance

Explores beam bending, load deformation, and resistance, emphasizing the importance of shear and moment diagrams.

Structural Mechanics: Understanding Structures' Behavior under Loads

Covers the basics of structural mechanics, exploring how structures respond to loads and the factors influencing their behavior.

Structural Mechanics Fundamentals

Introduces structural mechanics for life sciences, emphasizing equilibrium, vectors, tensors, and problem-solving strategies.

Structural Mechanics: Fundamentals and Applications

Covers the fundamentals of structural mechanics, including statics, dynamics, stress analysis, and practical applications in real-world scenarios.

Bending of Beams: Singularity Functions and Stress Analysis

Covers bending of beams, singularity functions, stress analysis, and second moment of area calculations.

Calculating Centroid and Second Moment

Explains the step-by-step process of calculating centroids and second moments of complex shapes using integration and the parallel axis theorem.

Review of Newtonian Mechanics and Vector Math

Covers Newtonian mechanics, forces, moments, equilibrium, vector math, and problem-solving steps.

Beam Deflection: Integrating Loads to Deformation

Explores integrating loads to deform beams, emphasizing boundary conditions and practical applications in stress analysis.

The Poisson Effect: Understanding Structural Mechanics in 3D

Explores the Poisson effect in 3D structures and its implications on material properties.

The Strain Tensor: Derivation and Properties

Explores the derivation and properties of the strain tensor, emphasizing the complexities of shear strain components.

Internal Reaction Forces and Stress

Explores internal reaction forces, strain, and stress in structures under external loads.

The stress tensor: representation and properties

Explores the stress tensor representation, interpretation, and properties, emphasizing the sign convention for normal and shear stresses.

Stress and Strain Relationship

Explores stress, strain, Young's modulus, material behaviors, and the superposition principle in structural mechanics.

Hooke's Law in 3D: Derivation and Applications

Covers the derivation of Hooke's law in 3D for isotropic materials and its applications in solving problems.

Structural Mechanics Fundamentals

Covers the basics of structural mechanics, including treating bars as springs, using the method of sections to analyze complex structures, and exploring stress concentration and the Sambhanans principle.

Materials Properties and Limiting Behavior

Explores materials properties, failure criteria, stress-strain curves, and fracture strength.

Strain and Stress Analysis

Explores the analysis of strain and stress, emphasizing the importance of understanding strain energy and strain tensor components.

Torsion: Deriving Hooke's Law and Solving Torsion Problems

Covers torsional loads, Hooke's law derivation, solving problems, and examples in hollow and composite shafts.

Statically Indeterminate Systems in Torsion

Explores the displacement stiffness method for torsional statically indeterminate problems in composite bars under torque.

Torsion in Bars: Stress and Stiffness

Explores torsion in bars, stress distribution, and material limits under torque.