Fitting stringer ends within boundary

[teh_victor_reyes]

Hello,

I was tasked with drawing a stringer with a lip that folds down on one end and up on the other.  The clear span has to be 9", while the lips have to be confined to a 1x4" boundary (dashed, green line). The (arbitrary) fillet that was used here was 3/4" radius. The pictures show my progression on how I got to the desired results but rotating and shrinking the red rectangle on the center of the pink circle until I got close enough.  The yellow circles are maybe in the right direction but I can't figure out how or if they come to play. Does anyone know how to get the end result on step '4' without winging it to get close enough?  Much appreciated.

[bob_mpc · Accepted solution]

Please see the attached sketch. I hope it's understandable:

1. Draw circles according the fillet radii

2. Move to right with basepoint QUADRANT - PERPENDICULAR to right border

3. Extend the lines of the main thing to QUADRANTS of the circles

4. Draw a circle with center - center of FILLET circles and radius - up to upper border

5. Draw the estending up tip - from QUADRANT of bigger fillet up to INTERSECTION with the circle drawn in (4), left according the width of the thing and down to QUADRANT of small fillet

6. Draw circle with center the fillets and radius the inner point of the tip

7. Draw a line starting from the INTERSECTION between the circle (6) and inner roght border, TANGENT to the inner fillet

8. Move the line - it's ENDPOINT lower right to the center of inner fillet

9. Rotate the tip REFERENCE - rotation base point center of inner circle, reference angle UP (with ortho on), new line - the other endpoint of the line

10. Remove aux lines, trim accordingly

Sorry, English is not my native tongue, so maybe something is not clear - will be happy to explain again if so.

BTW, in your drawing the detail is not symmetrical - is it supposed to be this way?

[teh_victor_reyes]

Hello. Sorry for the (very) long overdue thank you!  Your steps helped get me what I needed. Thank you for taking the time to help me.