How to solve for bending moment?

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SUMMARY

This discussion focuses on calculating the bending moment for a wing spar in an airplane design, specifically under a point load of 490 lb. The calculation method involves using the formula for bending stress, σ = My/I, where M represents the bending moment, y is the distance from the neutral axis, and I is the moment of inertia. The user is advised to assume a simply supported beam configuration at the wing tips, with the load applied at the center, and to seek closed-form solutions based on their specific geometry.

PREREQUISITES
  • Understanding of bending moment and shear force concepts
  • Familiarity with the formula for bending stress (σ = My/I)
  • Knowledge of beam support conditions, specifically simply supported beams
  • Basic principles of structural mechanics
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  • Research methods for calculating moment of inertia for different beam shapes
  • Learn about closed-form solutions for bending moments in structural beams
  • Explore software tools for structural analysis, such as SAP2000 or ANSYS
  • Study the effects of load distribution on bending moments in beams
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Aerospace engineers, structural designers, and students in mechanical or civil engineering who are involved in aircraft design and analysis.

airstrike_ola
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Hello, I'm a newbie here, please help me to solve for the bending moment of my design airplane. I want to know if my wing spar is strong enough to support the weight of my design which is 490 lb. I want also to know if what is the breaking point of the wing spar. Please see the attached picture.

Thank you...
 

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You can assuming that your beam is simply supported at the wing tips, with a point load at the center, and then just either simply compute the bending moments in your beam. The stress is then just
<br /> \sigma = \frac{My}{I}<br />

Or I'm sure a decent google result will give you the closed form solution given your geometry.
 

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