In this video, the relation between Shear force and Bending moment is explained in following Timestamps:

0:00 - Mechanics of Solids lecture series
0:13 – Outlines on the session
0:35 – Relation between Shear force and Bending moment
7:46 – Maximum bending moment condition

Following points are covered in this video:

Examples based on thermal stresses including yielding of support
1. Relation between Shear force and Bending moment
2. Condition of maximum bending moment

Engineering Funda channel is all about Engineering and Technology. Here this video is a part of Mechanics of Solid/ Engineering Mechanics.

#EngineeringFunda, #MechanicsOfSolids, #ShearForce, #BendingMoment

Details of Relation between Shear Force and Bending Moment:

The shear force and bending moment are two important concepts used to analyze the behavior of beams subjected to external loads. The relationship between shear force and bending moment can be described by the following two rules:

Shear Force Rule: The shear force at any point along the length of a beam is equal to the algebraic sum of the vertical forces to the left or right of that point.

Bending Moment Rule: The bending moment at any point along the length of a beam is equal to the algebraic sum of the moments due to the vertical forces to the left or right of that point.

Mathematically, these rules can be expressed as follows:

Shear force at a point = sum of all vertical forces to the left or right of that point

Bending moment at a point = sum of all moments due to the vertical forces to the left or right of that point

These rules can be used to determine the shear force and bending moment at any point along the length of a beam, given the external loads acting on the beam. The shear force and bending moment diagrams are graphical representations of the variation of shear force and bending moment along the length of the beam.

The shear force and bending moment diagrams are important tools used in the design and analysis of beams, as they help to identify the maximum values of shear force and bending moment that the beam will experience. These values are used to determine the required strength and size of the beam and the type and size of the supports needed to ensure the beam remains stable and safe under the applied loads.