Statics: Shear force and Bending Moment

In summary, the conversation is about finding the maximum shear force and maximum bending moment for a specific problem before a final exam. The person suggests trying a provided link for help and explains that the weight of the wing must equal the weights of the two engines, the wing, and half of the body of the plane. They also mention using integration and cantilever beam boundary conditions to solve the problem.
  • #1
unctarheels1
12
0
I need to understand how to work this type of problem before my final exam. How do you find the Maximum shear force and Maximum bending moment?
Thanks
 

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  • #3
btt Need help on this problem
 
  • #4
Well, if the aircraft is in flight, this means that the lift of the wing must equal the weights of the two engines, the wing, and half of the body of the plane assuming that the other wing supports the other half of the body. So the reaction at the left part of the wing is the weight of the plane pulling down.

One can find that force by integrating the lift along the wing and subtracting the weights of wing and engines. The weight of the wing is uniformly distributed. The weights of the body and engines can be treated as point loads.

The right side is free, the left side is constrained by the body, so think about cantilever beam boundary conditions.
 

1. What is statics?

Statics is a branch of mechanics that deals with the study of the behavior of stationary objects under the influence of external forces.

2. How do you calculate shear force?

Shear force is calculated by taking the sum of all the forces acting on a section of a structure in a perpendicular direction to the length of the section. It is represented by the symbol 'V' and is measured in Newtons (N).

3. What is bending moment?

Bending moment is the measure of the bending or flexural stress experienced by a structure under a load. It is calculated by taking the sum of the moments of all the forces acting on a section of the structure. It is represented by the symbol 'M' and is measured in Newton-meters (Nm).

4. How do shear force and bending moment relate?

Shear force and bending moment are related by their locations on a structure. Shear force is the vertical force acting on a structure, while bending moment is the rotational force. They are both important factors in determining the structural integrity of a building or object.

5. How are shear force and bending moment diagrams used?

Shear force and bending moment diagrams are used to visually represent the distribution of forces and moments along a structure. They are helpful in identifying points of maximum stress and determining the appropriate size and shape of structural members. They are also useful in predicting the behavior of a structure under different loading conditions.

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