How to solve for bending moment?

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To solve for the bending moment in an airplane wing spar, assume it is simply supported at the tips with a point load at the center. The bending moment can be calculated using the formula M = F * L / 4, where F is the load and L is the span length. The stress on the spar can be determined using the formula σ = My/I, where M is the bending moment, y is the distance from the neutral axis, and I is the moment of inertia. Additionally, online resources can provide closed-form solutions based on specific geometry. Understanding these calculations will help assess if the wing spar can support the design weight of 490 lb and determine its breaking point.
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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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