Bending moment for curve and straight beam

In summary, the bending moment for a curved beam is less than that of a straight beam due to the moment of inertia. However, this relationship may be confusing as the moment of inertia does not directly affect the bending moment, but rather bending stress.
  • #1
Sadeq
107
0
It’s clear that bending moment for a curve beam is less than straight one
And you can attribute this to moment of inertia, but there is something i don’t understand
Which is if i have straight beam with small moment of inertia or huge moment of inertia simple supported beam), the moment will not differ, so why it will differ in curve beam.
 
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  • #2
UP

some help please
 
  • #3
Are you confusing bending stress with bending moment? Bending moment is a function of load and distance and has nothing to do with moment of inertia. Bending stress is dependent on the moment of inertia.
 

Related to Bending moment for curve and straight beam

1. What is bending moment for a curve beam?

Bending moment for a curve beam is the measure of the internal forces acting on the beam in order to cause it to bend. This is caused by external loads, such as weight or pressure, acting on the beam.

2. How is bending moment calculated for a straight beam?

Bending moment for a straight beam is calculated by multiplying the force applied to the beam by the distance from the point of application to a reference point, also known as the moment arm. This can be represented by the equation M = F x d, where M is the bending moment, F is the applied force, and d is the moment arm.

3. What factors affect the bending moment of a beam?

The bending moment of a beam is affected by several factors, including the type of loading applied, the material and shape of the beam, and the support conditions at the ends of the beam. Additionally, the length and cross-sectional dimensions of the beam can also impact the bending moment.

4. How does bending moment differ between a curve and straight beam?

In a curve beam, the bending moment varies along the length of the beam due to the varying curvature. This means that the maximum bending moment may occur at a different location compared to a straight beam, where the bending moment is constant along the entire length.

5. Why is it important to consider bending moment in structural design?

Bending moment is an important factor to consider in structural design as it helps determine the strength and stability of a beam. If the bending moment exceeds the beam's capacity, it can lead to failure or deformation of the structure. Therefore, understanding and accurately calculating bending moment is crucial in ensuring the safety and functionality of a structure.

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