Normal Stress

Normal stress in members with varying cross-sectional area

Shear stress

Double shear

Bearing stress

Factor of Safety

Normal strain

Stress strain diagram explained

Hooke's law

Normal strain in members with varying cross sectional area

Use Hooke's law to find deflection in a statically determinate frame

Introduction to statically indeterminate problems and the principle of superposition

How to find the reactions for a statically indeterminate member with varying cross section

Torques and angle of twist

Angle of twist due to torsion in a shaft with varying cross section

Shearing strain due to torsion in a shaft

Shearing stress due to torsion in a solid circular shaft

Shearing stress due to torsion in a hollow circular shaft

Find the minimum diameter of a solid circular shaft in torsion

Find the minimum inner diameter of a hollow circular shaft in torsion

Find the maximum permissible torque for a shaft of known dimensions

Pure bending introduced

Geometry of pure bending problems

Stress and strain in the elastic range due to pure bending

How to find the moment of inertia for composite shapes

Elastic section modulus demonstration

Pure bending in the elastic range example #1: rectangular beam

Pure bending in the elastic range example 2: T-beam

Pure bending of composite materials introduced

Pure bending of composite materials worked example #1

Pure bending of composite materials worked example #2

How to solve pure bending problems for reinforced concrete

Pure bending of reinforced concrete example #1

Pure bending of reinforced concrete example #2

Introduction to beam deflection and the elastic curve equation (double integration method)

Find deflection and slope of a cantilever beam with a point load (double integration method)

Find deflection of a simply supported beam with distributed load (double integration method)

Find deflection and slope of a simply supported beam with a point load (double integration method)

Statically indeterminate beam deflection and slope example (double integration method)

Strain energy and strain energy density introduced

Calculate elastic strain energy for a member with axial loading

Calculate elastic strain energy for a cantilever beam with a point load

Calculate elastic strain energy for a simply supported beam with a point load

Calculate elastic strain energy for a member in torsion

Truss deflection under a single load example problem #1 (virtual work)

Truss deflection under a single load example problem #2 (virtual work)

How to apply Castigliano's theorem / method

Castigliano's theorem example #1: deflection at an applied point load

Castigliano's theorem example #2: deflection using a dummy load

Columns and buckling introduced

Effective length of columns with different end conditions

Column buckling example problem #1: both ends pinned

Column buckling example problem #2: both ends fixed

Column buckling example problem #3: one end fixed, one end free

Column buckling example problem #4: one end fixed, one end pinned

Column buckling example problem #5: with bracing

Thermal Expansion of Material Due to Temperature Change