Lectures related to Second moment of area

Stresses due to Flexure

Explores normal stresses in beams, bending moments, neutral axis, and maximum stresses.

Stresses due to Flexure

Covers the calculation of curvature in beams and the design of beams for stress considerations.

Wheel and Thread: Static Equilibrium and Rolling Motion

Covers the static equilibrium and motion of a wheel using a thread.

Naturally Curved Hair in 2D

Explores the shape of naturally curved hair in 2D under gravity.

Moment of Inertia and Neutral Axis

Explains stress, bending moment, and moment of inertia in beam sections.

Rigid body rotation and static equilibrium

Explores rotational motion, moment of inertia, torque, and static equilibrium in rigid bodies.

Simple Shear: General Notions and Applications

Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.

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.

Moment of Inertia of a Solid

Covers the theory of moment of inertia of a solid and its applications.

Solid Rotation: Moment of Inertia

Explores solid rotation, angular momentum, and moment of inertia calculation methods.

Moment of Inertia

Explains the concept of moment of inertia in rigid body rotation and torque.

Rigid body rotation and static equilibrium

Explores rotational motion, static equilibrium, and torque in rigid bodies.

Mechanics of Composite Beams

Explores the Transformed-Section Method for analyzing bending stresses in composite beams.

Soft neural interfaces: Bending stiffness

Explores the bending stiffness of soft neural interfaces, including axons and penetrating probes, with ideal geometrical models and elastic modulus ranges.

Normal Stress in Beams: Bending Analysis

Explores normal stresses in beams during bending and the calculation of the second moment of area for various shapes.

Bending Beams: Moment of Inertia and Stress Analysis

Explores moment of inertia in bending beams and stress analysis for beam sections.

Bending of Straight Beams

Explores the bending of straight beams, internal effort diagrams, tangential stress, and shear theory.

Bending of Beams: Singularity Functions and Stress Analysis

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

Anchoring Tie Rods

Covers the design and implementation of anchoring tie rods in geotechnical engineering.

Beam Bending: Theory and Applications

Covers the theory of beam bending, historical figures, moment-curvature relation, and implications of distributed loads.