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Slot in plate - best end shape for minimum stress?

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dculp1

Mechanical
Joined
May 16, 2006
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75
Location
US
The image shows a plate with a 10mm wide slot. In this design the slot's end shape is a 20mm x 10mm ellipse. A uniform tensile load is applied to the plate's top surface (the narrow surface at the top of the image). Compared to a slot with an R5mm end shape, the von Mises stress is 23% lower.

Besides an ellipse (and possibly a polynomial), what other end shapes should I consider in order to minimize the stress? (I seem to recall a shape that approximated the surface streamline of a fluid flowing through an orifice but I haven't been able to find this again.)

Thanks,
Don C.

Slot_with_elliptical_end_1a_d2riw5.jpg
 
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