Optimal beam geometry for 3-point bending

AI Thread Summary
In a 3-point bending test, the optimal beam geometry is crucial for maximizing strength and minimizing deflection. The discussion focuses on a triangular cross-section, considering a beam with a length of 190 mm and a volume of 30 cubic centimeters. Participants debate whether increasing height or width of the beam's cross-section provides better performance under load. The consensus leans towards prioritizing height to enhance the moment of inertia, which improves resistance to bending. Ultimately, the geometry should balance these factors to achieve the best structural integrity.
notlimnotlim
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Homework Statement
Looking for optimal beam geometry in a 3-point bending test. The beam has the restrictions 190 mm length and 30 cubic cenimetres in volume. The force is applied on a 10x10 mm area on the top surface centre
Relevant Equations
I have no equations
Thinking of triangular pattern
 
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notlimnotlim said:
Homework Statement: Looking for optimal beam geometry in a 3-point bending test. The beam has the restrictions 190 mm length and 30 cubic cenimetres in volume. The force is applied on a 10x10 mm area on the top surface centre
Homework Equations: I have no equations

Thinking of triangular pattern
For a given cross-sectional area, is it better to have more height or more width?
 

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