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

Click For Summary
SUMMARY

Bending moments and shear forces are independent of a beam's cross-sectional area. The bending moment is derived as the integral of the shear force curve, while the shear force curve is the integral of the load curve acting on the beam. This relationship is crucial for understanding beam behavior in structural analysis. For further details, refer to the "Relationships between load, shear, and moment diagrams" section on Wikipedia.

PREREQUISITES
  • Understanding of shear force and bending moment diagrams
  • Familiarity with integral calculus in structural analysis
  • Knowledge of beam loading conditions
  • Basic principles of mechanics of materials
NEXT STEPS
  • Study the derivation of shear force and bending moment equations
  • Learn how to construct shear force and bending moment diagrams
  • Explore the effects of different loading conditions on beam behavior
  • Investigate advanced topics in structural analysis, such as finite element methods
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in analyzing beam behavior in construction and design projects.

Padmal
Messages
7
Reaction score
0
Do bending moment and shear forces are dependable on a beam's cross sectional area?
 
Engineering news on Phys.org
Padmal said:
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"}
 
  • Like
Likes   Reactions: Padmal
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 ;)
 

Similar threads

Maximum shear stress in an assymetric cross-section
  • · Replies 4 ·
Replies
4
Views
2K
What is bending moment? Is it a moment couple? Why?
  • · Replies 9 ·
Replies
9
Views
3K
How Do Horizontally Oriented Gussets Perform in Cantilever Bending?
  • · Replies 36 ·
2
Replies
36
Views
5K
Understanding horizontal shear in beam with vertical load
  • · Replies 3 ·
Replies
3
Views
4K
Calculating the bending stress of a simply supported beam
  • · Replies 5 ·
Replies
5
Views
6K
Can all bending moments be represented by force couples?
  • · Replies 3 ·
Replies
3
Views
2K
Calculating shear in a cantelever
  • · Replies 1 ·
Replies
1
Views
1K
Solving Shear Force and Bending Moment at Reaction Point R
  • · Replies 11 ·
Replies
11
Views
3K
How can I calculate the bending moment of a pin in double shear?
  • · Replies 4 ·
Replies
4
Views
5K
Mechanics of materials - shear flow in built up members
  • · Replies 2 ·
Replies
2
Views
3K