Statics: Shear force and Bending Moment

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To determine the maximum shear force and bending moment in a beam, it's essential to analyze the forces acting on it, particularly in scenarios like an aircraft in flight. The lift generated by the wing must balance the weights of the engines, wing, and half the body of the plane, leading to specific reaction forces. Calculating these forces involves integrating the lift along the wing and accounting for the uniformly distributed weight of the wing and point loads from the engines and body. Understanding the cantilever beam boundary conditions is crucial, as one side is constrained while the other remains free. Mastering these concepts is vital for solving related problems in statics before exams.
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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?
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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.
 
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