I am making a simple 3D printed mechanism that consists of a tab and housing. Both the tab and housi

Fletcher Hays 2022-06-24 Answered
I am making a simple 3D printed mechanism that consists of a tab and housing. Both the tab and housing have nubs that interface with each other, preventing the tab from exiting the housing. The nubs are circular arcs with height 0.5mm and length 3.00mm. Fusion 360 calculated this for me to 4 decimal places, but I want to know the formula I can use, given the height and nub length, in order to find the exact value for the distance. This is necessary because I need the formula in order to use the output value for other aspects of the design.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

enfujahl
Answered 2022-06-25 Author has 20 answers
Step 1
For an arc height of h and width w, the radius of the arc satisfies
r 2 = ( r h ) 2 + ( w / 2 ) 2 ,
Hence
r = 4 h 2 + w 2 8 h .
Consequently, the horizontal separation d between the two marked extrema of the arcs satisfies
( 2 r h ) 2 + d 2 = ( 2 r ) 2 ,
or
d = 4 h r h 2 = h 2 + w 2 2 .
Hence the total width of the configuration as a function of h and w is
d + w = w + h 2 + w 2 2 .
For the example shown, h = 0.5 and w = 3 yields d + w = 3 + 19 2 5.17944947 , which agrees with the yellow highlighted value.

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2022-05-14
Plane with normal vector
a) If unit normal vector is ( a 1 , b 1 , c 1 ) , , then, how the point P 1 on the plane becomes ( D a 1 , D b 1 , D c 1 ) ? ?
b) If unit normal is ( 1 / 3 , 2 / 3 , 2 / 3 ) then P 1 becomes ( 2 / 3 , 4 / 3 , 4 / 3 ) Where D = 2. We know that normal vector began on the plane at point P 1 and ends at ( 1 / 3 , 2 / 3 , 2 / 3 ) . My questions is how unit normal vector coordinates value less than P 1 coordinates value, because unit normal vector pointing outside of the plane it should be greater coordinates value than P 1 ?
asked 2021-02-21
Express tanθ in terms of sinθ.
asked 2022-05-21
I got a plane with equation: P ( x , y ) = 16100 + 47 y 52
A line (parametrized equation) which lies on the plane P:
{ x = t y = 620 z = 870
And a point which belongs to the line: O ( 5 , 620 , 870 )
I need to find an equation of the line that belongs to the specified plane P and crosses specified line at the specified point O making an angle of 45 o with the line.
asked 2022-06-16

Find the distance between these two points: (8,2) and (-6,5).  Round your answer to two decimal places as necessary



 

 

asked 2021-11-22
Use analytic geometry to classify the quadrilateral with vertices J(-2,1), K(2, 3), L(4, -1), and N(0.-3). Explain your reasoning and show all your work
asked 2022-08-20
Please, help. People refer to the dimensions of things as ''2 by 4'' etc. I can't tell if the length dimension is vertical (up and down) or horizontal (side to side).
asked 2022-05-26
What is the equation of reflection of the curve
y = 5 x 2 7 x + 2
about the pont (3, -3)?

New questions