Optimal beam geometry for 3-point bending

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SUMMARY

The discussion focuses on determining the optimal beam geometry for a 3-point bending test, specifically under the constraints of a 190 mm length and a volume of 30 cubic centimeters. Participants explore the implications of using a triangular cross-section versus other shapes, particularly considering the distribution of height and width. The consensus suggests that maximizing height may enhance resistance to bending, but the specific geometry must be calculated based on the given constraints.

PREREQUISITES
  • Understanding of beam mechanics and bending theory
  • Familiarity with geometric properties of cross-sections
  • Knowledge of material strength and stress distribution
  • Basic principles of structural engineering
NEXT STEPS
  • Research the mechanical properties of triangular beam cross-sections
  • Learn about the calculation of moment of inertia for different shapes
  • Explore finite element analysis (FEA) tools for simulating bending tests
  • Investigate material selection criteria for optimal beam performance
USEFUL FOR

Structural engineers, materials scientists, and students involved in mechanical design and testing of beam structures will benefit from this discussion.

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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