# Are Bending Moment and Shear Force Dependent on Beam's Cross Sectional Area?

In summary, bending moment and shear forces are not dependent on a beam's cross sectional area. The bending moment is the integral of the shear force curve, and the shear force curve is the integral of the load curve of the beam. This relationship is explained in detail in the "Shear and Moment Diagram" section on Wikipedia. Additionally, it is important to note that cross sectional details are not always provided when drawing SFD and BMD.
Do bending moment and shear forces are dependable on a beam's cross sectional area?

Do bending moment and shear forces are dependable on a beam's cross sectional area?
They do not.

The bending moment is the integral of the shear force curve, and the shear force curve is the integral of the load curve of the beam.

http://en.wikipedia.org/wiki/Shear_and_moment_diagram {See the section "Relationships between load, shear, and moment diagrams"}

SteamKing said:
They do not.

The bending moment is the integral of the shear force curve, and the shear force curve is the integral of the load curve of the beam.

http://en.wikipedia.org/wiki/Shear_and_moment_diagram {See the section "Relationships between load, shear, and moment diagrams"}
Very much thank you to you sir! I was wondering that we're not given any of those cross sectional details when we're asked to draw SFD and BMD. So that's a kind of a hidden tip ;)

## 1. What is bending moment and shear force?

Bending moment and shear force are two important concepts in mechanics that are used to analyze and understand the behavior of structures under external loads. Bending moment refers to the force that causes a structure to bend or deform, while shear force is the force that acts parallel to the surface of a structure.

## 2. How are bending moment and shear force related?

Bending moment and shear force are closely related as they both act on a structure to resist external loads. Bending moment causes a structure to bend, while shear force helps to prevent the structure from sliding or shearing apart under external loads. They both play a crucial role in determining the stability and strength of a structure.

## 3. How are bending moment and shear force calculated?

Bending moment and shear force can be calculated using mathematical equations that take into account the external loads acting on the structure, the geometry of the structure, and the material properties. These calculations are typically done using advanced software programs or by hand using equations from mechanics and calculus.

## 4. Why are bending moment and shear force important in structural analysis?

Bending moment and shear force are important in structural analysis because they help engineers and scientists understand how a structure will behave under external loads. By calculating and analyzing these forces, engineers can ensure that a structure will be strong enough to support its intended loads and will not fail or deform excessively.

## 5. How can bending moment and shear force be controlled in a structure?

Bending moment and shear force can be controlled in a structure by designing the structure with appropriate dimensions and materials to withstand the expected loads. Additionally, engineers may use various techniques such as adding reinforcement or altering the shape of the structure to distribute the forces more evenly and reduce the effects of bending moment and shear force.

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