Bending Reaction: Solving the Formula

In summary, when solving for the bending reaction in a beam, the formula used takes into account the principle of equilibrium. The sum of the moments of the external forces must be equal to zero, with one term representing the moment of the applied force and the other term representing the moment of the reaction force. The distance between the center of the beam and the reaction point is also considered in the formula.
  • #1
ricky_fusion
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Homework Statement


This all about Bending reaction. The problem that I don't understand is how to created this formula "See this symbol '??' in the picture. I have to check the modified of this formula so the result will be same as likes the symbol.
th_P_3.jpg


Why is the reaction of it be like that??
 
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  • #2
Homework Equations The reaction is: R = P*L + M*(L/2-h)The Attempt at a SolutionI think that the reaction of it is based on the principle of equilibrium. The formula I mentioned above states that the sum of the moments of the external forces must be equal to zero in order for the beam to remain in equilibrium. The P*L term represents the moment of the force applied at one end of the beam, and the M*(L/2 - h) term represents the moment of the reaction force at the other end of the beam. The h term represents the distance between the center of the beam and the reaction point.
 

FAQ: Bending Reaction: Solving the Formula

What is bending reaction?

Bending reaction, also known as flexural reaction, is the force or moment that is created at a support point when a beam or structure is subjected to a load.

How is the bending reaction calculated?

The bending reaction can be calculated using the formula R = (W x L) / 2, where R is the bending reaction, W is the load applied to the beam, and L is the length of the beam.

What factors affect the bending reaction?

The bending reaction is affected by the magnitude and location of the applied load, the length and stiffness of the beam, and the support conditions at the ends of the beam.

How is the bending reaction used in structural analysis?

The bending reaction is an important consideration in the design and analysis of structures. It helps determine the maximum stress and deflection in a beam, which are important factors in ensuring the structural integrity and safety of a building or bridge.

Can the bending reaction be negative?

Yes, the bending reaction can be negative if the beam is subjected to an upward or counterclockwise moment. This indicates that the support is experiencing an upward force or moment, rather than a downward force or moment.

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