Statics: Shear force and Bending Moment

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SUMMARY

This discussion focuses on calculating the Maximum Shear Force and Maximum Bending Moment for beams, particularly in the context of aircraft wing analysis. Key concepts include the integration of lift along the wing and the treatment of the weights of the wing and engines as point loads. The discussion emphasizes the importance of understanding cantilever beam boundary conditions, particularly when one side is constrained by the aircraft body while the other remains free.

PREREQUISITES
  • Understanding of shear force and bending moment diagrams
  • Knowledge of cantilever beam boundary conditions
  • Familiarity with load distribution, including uniformly distributed loads and point loads
  • Basic principles of statics in structural analysis
NEXT STEPS
  • Study the integration of lift forces in beam analysis
  • Learn about calculating shear forces and bending moments in cantilever beams
  • Explore the use of software tools for structural analysis, such as SAP2000 or ANSYS
  • Review case studies on aircraft wing load distribution and structural integrity
USEFUL FOR

This discussion is beneficial for civil engineers, aerospace engineers, and students preparing for exams in statics and structural analysis, particularly those focusing on beam mechanics and aircraft design.

unctarheels1
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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?
Thanks
 

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btt Need help on this problem
 
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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