Explains the concept of beam deformation due to applied loads and introduces the types of internal stresses.

• Applying a load to a beam causes it to bend and creates internal shear forces and bending moments.
• Shear forces result from vertical shear stresses, and bending moments result from normal bending stresses.

Discusses bending stresses in beams, focusing on pure bending and the concept of the neutral axis.

• Pure bending occurs when shear force is zero and bending moment is constant.
• Top fibers compress and bottom fibers elongate, with the neutral axis being the surface where fibers do not change length.

Describes the geometry of deformation in beams and how to calculate strains and stresses.

• Strain can be calculated by considering the beam's deformation geometry.
• Bending stress is calculated using the derived strain equation and Hooke's law.

Explains the flexure formula and how it relates to the beam's resistance to bending.

• Flexure formula relates bending stress to bending moment, distance from neutral axis, and the area moment of inertia.
• Maximum bending stress occurs at the fibers furthest from the neutral axis.

Outlines shear forces in beams and how the presence of shear forces affects beam deformation.

• Shear force is the resultant of shear stresses acting parallel to the cross-section.
• Shear stresses have complementary horizontal components due to equilibrium.

Describes how to calculate shear stresses and their distribution across the beam's cross-section.

• Shear stress varies across the beam's height and is maximum at the neutral axis.
• For rectangular and circular cross-sections, shear stress can be estimated at the neutral axis.

Examines the distribution of shear stresses in various cross-sectional shapes of beams.

• Shear stress distribution differs across cross-sections, with assumptions necessary for calculations.
• For rectangular, circular, and thin-walled sections, the equation for shear stress provides various degrees of accuracy.

Concludes the review of bending and shear stresses in beams and invites support for the content.

• Review of bending and shear stresses in beams is concluded.
• The channel invites support through Patreon for more educational content.