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Let us consider a beam of fixed length with square cross-section of area ...
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Let us consider a beam of fixed length with square cross-section of area . It is loaded at its tip with a point force . What is the ratio to optimize in order to minimize the mass and achieve the maximum strength in bending?
Reminder. Elementary equations for uniform rectangular beams subjected to bending:
- Bending moment:
- Section modulus of rectangular beam of width and height :
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