Solve angle issues for opening a door with a linear actuator

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marciokoko
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ok, setting the force issues aside (for now), Id like to use what I know about triangles to figure how to position my linear actuator in order to open and close this door correctly:
Photo of a wooden door leaning open on gravel, with a metal linear actuator rod and bracket attached to its lower edge and a white cable running behind it.


The vertical side is 84cm, the door is 92cm. The measured stroke of the AL is 25cm.

I would need to lower the attachment point which is currently at 26cm from the bottom edge:
Handwritten sketch of two right triangles on lined paper: left triangle has hypotenuse 40 cm, vertical 24 cm, base a = 30 cm; right triangle has hypotenuse 40, vertical 13 cm, base a = 37.8, with a^2 + 13^2 = 40^2 and a^2 + 169 = 1600.


If I were to randomy fix the attachment point to the door at 13cm from the bottom edge, how do I measure the angle now of the door with the bottom corner? I boiled it down to this:

Handwritten sketch of a right triangle with hypotenuse 40 and vertical side 13, angle 18.9° at the base, plus a second triangle with sides 65 and 25 and labelled angles 71.1° and 108.9°, with the work SOH: sin θ = 13/40 = 0.325, arcsin = 18.9°.

So how do i solve Sin ⍬ = 0.325 on calc without arcsin (iphone)? 18.9 deg on website, but I am still missing an angle or two...

Please help.
 
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Yes I got the arcsin but if you look at my last image I still need to figure out more angles in order to solve the problems.
 
Then enter them in Google like I did and let IT find the solution you like.
Or get a book with trig tables in it.
Or buy a $15 pocket calculator.
 
No, I don't mean i need to figure out other arcsines. I mean I need to figure out other angles in the figure. I need the blue angle.
Handwritten sketch of a triangle with sides labeled 40, 13 and 37.8 and angles 18.9 and 71.1 degrees, with a blue arc marking an angle at the base of a vertical bar, plus SOH sine calculation and arcsin = 18.9 degrees below.
 
Ahh, OK.
referring to the last sketch in your first post:
  • Are the sketches and photo left-right reversed?
  • There are some dimensions given, what part(s) of the structure do they represent?
  • What is that right-most almost-vertical line, is it really vertical, is it part of the solution?
  • It looks like you got the 108.9° correct.
  • Please mark on the sketch which angles you need?
  • Door pivoted at the bottom?
Thanks.

p.s. There was a similar thread about 6 months ago that may give you some ideas and insight. @JBA came up with a solution on that thread, hopefully he can jump in here and work his magic!
https://www.physicsforums.com/threads/how-to-put-solar-panels-on-top-of-my-rv.977763/#post-6241131
 
Last edited:
Tom.G said:
Ahh, OK.
referring to the last sketch in your first post:
  • Are the sketches and photo left-right reversed?
  • There are some dimensions given, what part(s) of the structure do they represent?
  • What is that right-most almost-vertical line, is it really vertical, is it part of the solution?
  • It looks like you got the 108.9° correct.
  • Please mark on the sketch which angles you need?
  • Door pivoted at the bottom?
Thanks.

p.s. There was a similar thread about 6 months ago that may give you some ideas and insight. @JBA came up with a solution on that thread, hopefully he can jump in here and work his magic!
https://www.physicsforums.com/threads/how-to-put-solar-panels-on-top-of-my-rv.977763/#post-6241131
Handwritten sketch of a linear actuator geometry with colored highlights: a blue 40 actuator body at 18.9 degrees, an orange 25 extended section at 108.9 degrees, a green door, and purple frame, with a 13 vertical offset and a note sin theta = 13/40 = 0.325, arcsin = 18.9 degrees.

Purple is the box frame.
Green is the acrylic door.
Blue is the body of the actuator.
Yellow is the extended actuator.

I'm trying to find out the best position to fully open the door with the given actuator.
 
@marciokoko
You need to specify three things.
1. What is the retracted length of the actuator. 40 cm ?
2. What is the extended length of the actuator. 65 cm ?
3. What angle must the door swing through to be called “fully open”.
 
1. Yes 40 cm
2. Yes 65 cm
3. ok so that's it really, if I determine the door should be open at 70deg, then I can position the actuator properly.

Ok so it was more a question of me deciding what I want fully open to be. Ok so no it turns into a forces problem, because as i see it I have 3 options:
Hand-drawn sketches of a hinged cover opened by a linear actuator in three positions, with labels Cover, lighter load, ramp, heavy and odd and a dashed line marked 25 showing the angle.
 
top left is my current setup but the actuator is so far from the hinge or pivot, that the 25cm stroke is not enough to make the cover reach 70 deg.

top right & bottom right are basically the same, but the box is flipped.

what other options am I missing? I would try the bottom right today, I just need to move the actuator and attachment point.
 
marciokoko said:
what other options am I missing?
You have too many undefined degrees of freedom now.

You show a pin where the far end of the actuator body contacts the box.
You also show a pin where the actuator exits the box, why is that point relevant?
Does the actuator rod attach to the door with a pin, or just press on it with a roller?
What stops the actuator rod from rotating, or bending?

Some actuators mount between end pins, others mount the body near the rod seal.
How does the actuator mount? Which points are used?
Is there a data sheet on the actuator?

If you open more than 70°, the actuator may pass too close to the hinge, so the forces will be too high. That requires a different attachment point in the box.
 
Baluncore said:
You have too many undefined degrees of freedom now.

You show a pin where the far end of the actuator body contacts the box.
You also show a pin where the actuator exits the box, why is that point relevant?
Does the actuator rod attach to the door with a pin, or just press on it with a roller?
What stops the actuator rod from rotating, or bending?

Some actuators mount between end pins, others mount the body near the rod seal.
How does the actuator mount? Which points are used?
Is there a data sheet on the actuator?

If you open more than 70°, the actuator may pass too close to the hinge, so the forces will be too high. That requires a different attachment point in the box.

Here are more pictures:
Six-panel photo collage of a clear acrylic panel with wooden frame members, a brass hinge at the top, and a linear actuator mounted with wing-nut bolts and brackets at its ends.
 
Rather than going into calculations, and since you have everything right there, I would use a marker to determine the best you can do with that actuator in tgat arrangement.

With the door closed and the actuator fully retracted, I would mark several pairs of points of contact on surfaces of door and box, giving sequential numbers to each pair.
Next, I would open the door to desired angle and fully extend the actuator, trying all pairs of marked points.
One combination should be best.

In case full extension of actuator results to be not long enough, you will need to use some levers or pulleys and cable to multiply the reach at expense of the force.
 
Tom.G said:
  • Are the sketches and photo left-right reversed?
  • There are some dimensions given, what part(s) of the structure do they represent?
  • What is that right-most almost-vertical line, is it really vertical, is it part of the solution?
  • It looks like you got the 108.9° correct.
  • Please mark on the sketch which angles you need?
  • Door pivoted at the bottom?
Yeah, I'm completely confused by the sketches. Apparently there is also a ramp that opens downward in some of the sketches... Not sure what that it all about. It's hard for me to help when I can't even decode the sketches...
 
Ok here is the new setup. I moved the actuator to the top part of the box. The problem now is that I need to fix the body of the actuator so it doesn't "drop" down.
Wooden box with a clear plastic panel hinged at the top, held open by a linear actuator mounted to the upper front of the box, on gravel with a wooden fence behind.
Photo through a glass panel of a black linear actuator mounted to the top of a box, with two black metal brackets and bolts clamping its body, behind a reflection of a person in an outdoor scene.
 
marciokoko said:
Ok here is the new setup. I moved the actuator to the top part of the box. The problem now is that I need to fix the body of the actuator so it doesn't "drop" down.
That is a worse arrangement. The actuator should only be attached with pins at the ends. That way it will remain in a straight line and not be bent by holding the actuator body.

As the door swings out, the force needed to move the door weight increases from zero to a maximum.
At the same time, the actuator line gets closer to the hinge, so the mechanical advantage gets worse.
It would be better to attach the actuator lower down on the box. Then the two effects could cancel, and you would have them working together.
 
marciokoko said:
The problem now is that I need to fix the body of the actuator so it doesn't "drop" down.
One way that I deal with such strengthening problems is to make I-Beams out of the edges that are curving. In this case, I'd probably start with 1x4" finished wood, cut it down to about 1x3" finished dimensions, and then rip a dado groove lengthwise down the length of the beam. Make two such I-Beam outside pieces, and glue them to the curved edges of the plexiglass (the vertical outside edges). If it's going to be a long-term setup, be sure to weatherize/finish the wood before gluing it onto the plexiglass.

The wood edge pieces will looks something like those in this picture:

http://www.hobbithouseinc.com/personal/woodpics/_g_IJK.htm

Four wooden I-beam joists in a row, each with a top and bottom flange joined by a vertical web with a central groove.
 
So you mean On the side of the wall? The door is acrylic, it's too wobbly. I would need a second actuator. Well i fixed a 2x2 on the wall and mounted the actuator on it. It works ok. I didnt measure the angle but its at least half way I think. The acrylic door is really have actually because its thick, about 1/4" i think.

Well I did this and Ill try to reinforce the door.

Wooden crate with a clear acrylic panel on its side, fixed to wooden battens, with a small hole and cracks visible in the acrylic; a blue trampoline stands behind it on gravel.
Photo of a clear acrylic panel door with a wooden frame and vertical wooden strip, mounted on a gravel surface, with a hinge at the top and a small bracket with screws on the lower left.


I would need to modify it to give me more opening then because I need to fit an rc car or from there.
Tom.G said:
Try this:

View attachment 260159

Cheers,
Tom
 
marciokoko said:
ok, setting the force issues aside (for now), Id like to use what I know about triangles to figure how to position my linear actuator in order to open and close this door correctly:
View attachment 260064

The vertical side is 84cm, the door is 92cm. The measured stroke of the AL is 25cm.

I would need to lower the attachment point which is currently at 26cm from the bottom edge:
View attachment 260066

If I were to randomy fix the attachment point to the door at 13cm from the bottom edge, how do I measure the angle now of the door with the bottom corner? I boiled it down to this:

View attachment 260069
So how do i solve Sin ⍬ = 0.325 on calc without arcsin (iphone)? 18.9 deg on website, but I am still missing an angle or two...

Please help.
You can activate arcsin (sin exp-1) or any inverse trig functions on the iPhone scientific calculator (rotate to landscape) with the 2nd key( far right )
 
Having recently disconnected a fused linear actuator, a screw-thread type, from our 'up&over', I'm reminded the door had a big stand-off bracket to mitigate the effects of adverse Sin/Cos etc, provide adequate 'starting' force...