Conduit Segment Homework

[FLMarshmaster]

Could someone help me with these calculations .

Problem :
A cylindrical pressure vessel has a diameter of 18'-8".
There is a control panel and a pressure/temperature sensing device enclosure mounted directly on the vessel , these boxes are 8' 3-1/2" from each other measured along the circumference of the vessel . A 3/4 " rigid conduit is to be run on 7/8" strut from the control panel to sensing device enclosure.

11. What is the radius of the bend ?

12. What is the total angle (TA) of the bend ?

13. What is the developed length of the conduit?

14. What are (4) possibilities of the angle value per shot and the number
of shots used ?
15. What is the spacing value for shot centers ?

Thanks,
FLmarshmaster

 

[don_resqcapt19]

What have you done so far? One hint is that the radius of the bend is measured to the centerline of the conduit.
Don

 

[peter]

Shallow strut [B-1200] is actually 13/16" -- not 7/8" deep.
Never mind the quibble. What you have is a straight forward calculator question.
I had to dust off my calculator with a paint brush to get this far: Petending that 3/4" rigid is ~1/2" radius plus your ~7/8", you would add that to your 112" radius to get abou 113.5" radius of the centerline of your thick pipe. I suppose the convention in this case is to use the center line of the pipe. [I will be corrected if I am wrong.] [You will have to look up the actual outside diameter of the 3/4" rigid to be precise.]
I ended up with ~161.2? but forgot to allow for radius/diameter so this is slightly wrong. But some where around 45% of the diameter.
If you have any CAD program, you could draw this out to scale and use the dimension tools.
Now realize that your two boxes are rectangular and have flat bottoms. How are they going to be attached to your pressure vessel? Sheet metal screws? In any event, they won't sit flat on your round surface -- there will be a little gap. Also, the 90? corners will add to your 8'3.5".
This is a neat little problem with some difficulties I don't think your professor foresaw.
~Peter

 

[cadpoint]

Math

Math

Could someone help me with these calculations .

Problem :
A cylindrical pressure vessel has a diameter of 18'-8".
There is a control panel and a pressure/temperature sensing device enclosure mounted directly on the vessel , these boxes are 8' 3-1/2" from each other measured along the circumference of the vessel . A 3/4 " rigid conduit is to be run on 7/8" strut from the control panel to sensing device enclosure.

11. What is the radius of the bend ?

12. What is the total angle (TA) of the bend ?

13. What is the developed length of the conduit?

14. What are (4) possibilities of the angle value per shot and the number
of shots used ?
15. What is the spacing value for shot centers ?

with a circle: math Areas and volume calculations

You need to Use a Circular sector with uses three componets With is A=Area of that segment
L = Length of Arc
Θ = angle, in degrees
this is your basic wedge with an arc or Pie shape if you prefer.

Or a circular segment; Which the math uses your straight line measurement of distance that happen to be the same as your Arc travel distance.
This is your basic cone shape again but seperated from the "V" of the cone and the flat distance is the same as your arc travel length IE the ICE CREAM Cone.

 

[Smart $]

11. What is the radius of the bend ?

18' 8" = 224" diameter
224" ? 2 = 112" vessel radius
+ .875 for strut
+ .525 for centerline of conduit
radius of bend is 113.4" or 113-3/8"​

12. What is the total angle (TA) of the bend ?

8' 3-1/2" = 99.5"
TA = 99.5" ? (224" ? pi) ? 360? = 50.9?​

13. What is the developed length of the conduit?

99.5:112 = DL:113.4, using ratios at two different radii
DL = 99.5 ? 112 ? 113.4 = 100.75"
This does not account for connection type. For example, double locknut would require an additional 1", while myers hub would be about 1/4" to 3/8" shorter.​

14. What are (4) possibilities of the angle value per shot and the number
of shots used ?

Angle/shot x No. of shots = TA, so pick 4
For example, 10@5? (or 9@5? and 1@5.9?)​

15. What is the spacing value for shot centers ?

Spacing/shot = DL ? (No. of shots + 1), or
Spacing/shot = DL ? No. of shots, if you use half spacing at each end​