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various screws updates

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Adrian Mariano 2022-08-25 21:12:57 -04:00
parent 800d1b2a62
commit 9b68b8322e
1 changed files with 417 additions and 268 deletions
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screws.scad
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@ -3,7 +3,7 @@
// Functions and modules for creating metric (ISO) and English (UTS) standard screws and nuts.
// Included is a function for calculating the standard dimensions of screws including the
// tolerance values that are required to make screws mate properly when they are formed
// precisely, so if you can fabricate objects accurately then your screws will mate
// precisely. If you can fabricate objects accurately then the modeled screws will mate
// with standard hardware without the need to introduce extra gaps for clearance.
// Includes:
// include <BOSL2/std.scad>
@ -12,10 +12,9 @@
// FileSummary: ISO (metric) and UTS screws and nuts.
//////////////////////////////////////////////////////////////////////
include <structs.scad>
include <threading.scad>
include <screw_drive.scad>
include <BOSL2/structs.scad>
include <BOSL2/threading.scad>
include <BOSL2/screw_drive.scad>
// Section: Screw Parameters
// This modules in this file create standard ISO (metric) and UTS (English) threaded screws.
@ -25,18 +24,18 @@ include <screw_drive.scad>
// various head types and drive types that should match standard hardware.
// Subsection: Screw Naming
// You can specify screws using a string that names the screw.
// For ISO (metric) screws the name has the form: `"M<size>x<pitch>,<length>"`,
// so `"M6x1,10"` specifies a 6mm diameter screw with a thread pitch of 1mm and length of 10mm.
// You can omit the pitch or length, e.g. `"M6x1"`, or `"M6,10"`, or just `"M6"`.
// For ISO (metric) screws the name has the form: "M`<size>`x`<pitch>`,`<length>`,
// so "M6x1,10" specifies a 6mm diameter screw with a thread pitch of 1mm and length of 10mm.
// You can omit the pitch or length, e.g. "M6x1", or "M6,10", or just "M6".
// .
// For UTS (English) screws the name has the form `"<size>-<threadcount>,<length>"`, e.g.
// `"#8-32,1/2"`, or `"1/4-20,1"`. The units are in inches, including the length. Size can be a
// number from 0 to 12 with or without a leading `#` to specify a screw gauge size, or any other
// value to specify a diameter in inches, either as a float or a fraction, so `"0.5-13"` and
// `"1/2-13"` are equivalent. To force interpretation of the value as inches add `''` (two
// single-quotes) to the end, e.g. `"1''-4"` is a one inch screw and `"1-80"` is a very small
// For UTS (English) screws the name has the form `<size>`-`<threadcount>`,`<length>`, e.g.
// "#8-32,1/2", or "1/4-20,1". The units are in inches, including the length. Size can be a
// number from 0 to 12 with or without a leading # to specify a screw gauge size, or any other
// value to specify a diameter in inches, either as a float or a fraction, so "0.5-13" and
// "1/2-13" are equivalent. To force interpretation of the value as inches add '' (two
// single-quotes) to the end, e.g. "1''-4" is a one inch screw and "1-80" is a very small
// 1-gauge screw. The pitch is specified using a thread count, the number of threads per inch.
// As with the ISO screws, you can omit the pitch or length and specify `"#6-32"`, `"#6,3/4"`, or simply `#6`.
// As with the ISO screws, you can omit the pitch or length and specify "#6-32", "#6,3/4", or simply #6.
// Subsection: Standard Screw Pitch
// If you omit the pitch when specifying a screw or nut then the library supplies a standard screw pitch based
// on the screw diameter. For each screw diameter, multiple standard pitches are possible.
@ -85,23 +84,24 @@ include <screw_drive.scad>
// | |X|"flat small" | slot, phillips|
// | |X|"flat large" | hex, torx |
// | |X|"flat undercut" | slot, phillips |
// |X| |"pan" | slot, phillips |
// |X| |"cheese" | slot, phillips |
// |X|X|"pan" | slot, phillips, torx (ISO only) |
// |X| |"cheese" | slot, phillips, torx |
// .
// The drive size is specified appropriately to the drive type: drive number for phillips or torx,
// and allen width in mm or inches (as appropriate) for hex. Drive size is determined automatically
// The drive size is specified appropriately for the drive type: drive number for phillips or torx,
// and recess width in mm or inches (as appropriate) for hex. Drive size is determined automatically
// from the screw size, but by passing the `drive_size=` argument you can override the default, or
// in cases where no default exists you can specify it.
// Subsection: Tolerance
// Without tolerance requirements, screws would not fit together. The screw standards specify a
// nominal size, but the tolerance determines a range of allowed sizes based on that nominal size.
// So for example, an M10 screw with the default tolerance has an outside (major) diameter between 9.74 mm and 9.97 mm.
// The librasry will use the center point in the allowed range and create a screw with a diameter of 9.86 mm.
// The library will use the center point in the allowed range and create a screw with a diameter of 9.86 mm.
// A M10 nut at the default tolerance has a major diameter (which is the inside diameter) between 10 mm and 10.4 mm.
// Shrinking the major diameter of a screw makes the screw loose. Shrinking the major diameter of a nut, on the other hand,
// makes the hole smaller and hence makes the nut tighter. For this reason, we need a difference tolerance
// for a screw than for a nut. Screw tolerances Screws modeled by this method will have dimensions consistent with the
// standards they are based on, so that they would interface properly if fabricated by an accurate method. The ISO and UTS
// for a screw than for a nut. Screw tolerances shrink the diameter to make the screw looser whereas nut tolerances
// increase the diameter to make the nut looser. Screws modeled using this library will have dimensions consistent with the
// standards they are based on, so that they will interface properly if fabricated by an accurate method. The ISO and UTS
// systems use different tolerance designations.
// .
// For UTS screw threads the tolerance is one of "1A", "2A" or "3A", in
@ -112,22 +112,18 @@ include <screw_drive.scad>
// order of increasing tightness. The default tolerance is "2B", which
// is the general standard for manufactured nuts.
// .
// For ISO the tolerance
// has the form of a number and letter. The letter specifies the "fundamental deviation",
// also called the "tolerance position", the gap
// from the nominal size, and must be "e", "f", "g", or "h", where "e" is
// the loosest and "h" means no gap. The number specifies the allowed
// range (variability) of the thread heights. It must be a value from
// 3-9 for crest diameter and one of 4, 6, or 8 for pitch diameter. A
// tolerance "6g" specifies both pitch and crest diameter to be the same,
// but they can be different, with a tolerance like "5g6g" specifies a pitch diameter
// tolerance of "5g" and a crest diameter tolerance of "6g".
// Smaller numbers give a tighter tolerance. The default ISO tolerance is "6g".
// The ISO tolerances are more complicated. For both screws and nuts the ISO tolerance has the form of a number
// and letter. The letter specifies the "fundamental deviation", also called the "tolerance position", the gap
// from the nominal size. The number specifies the allowed range (variability) of the thread heights. For
// screws, the letter must be "e", "f", "g", or "h", where "e" is the loosest and "h" means no gap. The number
// for a screw tolerance must be a value from 3-9 for crest diameter and one of 4, 6, or 8 for pitch diameter.
// A tolerance "6g" specifies both pitch and crest diameter to be the same, but they can be different, with a
// tolerance like "5g6g" specifies a pitch diameter tolerance of "5g" and a crest diameter tolerance of "6g".
// Smaller numbers give a tighter tolerance. The default ISO screw tolerance is "6g".
// .
// For ISO nuts the form is the same, but the number specifying the variability must range from 4-8,
// and the fundamental deviation letter must be "G" or "H" where "G" is loose and "H" means
// no gap. An allowed (loose) nut tolerance is "7G". The default ISO tolerance is "6H".
// For ISO nuts the letters specifying the fundamental deviation are upper case and must be "G" or "H" where "G"
// is loose and "H" means no gap. The number specifying the variability must range from 4-8. An allowed (loose)
// nut tolerance is "7G". The default ISO tolerance is "6H".
// Section: Making Screws
@ -154,10 +150,12 @@ Torx values: https://www.stanleyengineeredfastening.com/-/media/web/sef/resourc
// Create a screw. See [screw parameters](#section-screw-parameters) for details on the parameters that define a screw.
// The tolerance determines the dimensions of the screw
// based on ISO and ASME standards. Screws fabricated at those dimensions will mate properly with standard hardware.
// The $slop argument creates
// an extra gap to account for printing overextrusion. It defaults to 0.
// The $slop argument creates an extra gap to account for printing overextrusion. It defaults to 0.
// .
// You can generate a screw specification from {{screw_info()}}, possibly modify it, and pass that in rather than giving the parameters.
// You can generate a screw specification from {{screw_info()}}, possibly create a modified version, and pass that in rather than giving the parameters.
// .
// If you specify `internal=true` then you are creating a mask to make a threaded hole. Such threading masks follow
// the **nut** tolerance.
// Arguments:
// name = screw specification, e.g. "M5x1" or "#8-32". See [screw naming](#subsection-screw-naming).
// head = head type. See [screw heads](#subsection-screw-heads) Default: none
@ -169,8 +167,10 @@ Torx values: https://www.stanleyengineeredfastening.com/-/media/web/sef/resourc
// spec = screw specification from `screw_info()`. If you specify this you can omit all the preceeding parameters.
// length = length of screw (in mm)
// shank = length of unthreaded portion of screw (in mm). Default: 0
// internal = set to true to create a screw mask for clearance holes (with no threads) or for threaded holes. If true, the driver recess will not be created on headed screws. Default: false
// counterbore = set to length of counterbore, or true to make a counterbore equal to head height. Default: no counterbore
// details = toggle some details in rendering. Default: false
// tolerance = screw tolerance. Determines actual screw thread geometry based on nominal sizing. See [tolerance](#subsection-tolerance). Default is "2A" for UTS and "6g" for ISO.
// tolerance = screw tolerance. Determines actual screw thread geometry based on nominal sizing. See [tolerance](#subsection-tolerance). Default is "2A" for UTS and "6g" for ISO. If `internal=true` then default is "2B" for UTS and 6H for ISO.
// $slop = add extra gap to account for printer overextrusion. Default: 0
// anchor = Translate so anchor point on the shaft is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor). Default: `BOTTOM`
// anchor_head = Translate so anchor point on the head is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor).
@ -225,6 +225,11 @@ Torx values: https://www.stanleyengineeredfastening.com/-/media/web/sef/resourc
// screw("1/4", thread=0,length=8, anchor=TOP, head="round");
// }
// ydistribute(spacing=15){
// screw("1/4", thread=0,length=8, anchor=TOP, head="pan", drive="slot");
// screw("1/4", thread=0,length=8, anchor=TOP, head="pan", drive="phillips");
// screw("1/4", thread=0,length=8, anchor=TOP, head="pan");
// }
// ydistribute(spacing=15){
// screw("1/4", thread=0,length=8, anchor=TOP, head="fillister", drive="slot");
// screw("1/4", thread=0,length=8, anchor=TOP, head="fillister", drive="phillips");
// screw("1/4", thread=0,length=8, anchor=TOP, head="fillister");
@ -259,6 +264,7 @@ Torx values: https://www.stanleyengineeredfastening.com/-/media/web/sef/resourc
// ydistribute(spacing=15){
// screw("M6x0", length=8, anchor=TOP, head="pan", drive="slot");
// screw("M6x0", length=8, anchor=TOP, head="pan", drive="phillips");
// screw("M6x0", length=8, anchor=TOP, head="pan", drive="torx");
// screw("M6x0", length=8, anchor=TOP, head="pan");
// screw("M6x0", length=8, anchor=TOP, head="pan flat");
// }
@ -270,6 +276,7 @@ Torx values: https://www.stanleyengineeredfastening.com/-/media/web/sef/resourc
// ydistribute(spacing=15){
// screw("M6x0", length=8, anchor=TOP, head="cheese", drive="slot");
// screw("M6x0", length=8, anchor=TOP, head="cheese", drive="phillips");
// screw("M6x0", length=8, anchor=TOP, head="cheese", drive="torx");
// screw("M6x0", length=8, anchor=TOP, head="cheese");
// }
// ydistribute(spacing=15){
@ -305,61 +312,70 @@ Torx values: https://www.stanleyengineeredfastening.com/-/media/web/sef/resourc
function screw(name, head="none", drive, thread="coarse", drive_size, oversize=0, spec, length, l, shank=0, tolerance=undef, details=true, anchor=undef,anchor_head=undef,spin=0, orient=UP) = no_function("screw");
module screw(name, head="none", drive, thread="coarse", drive_size, oversize=0, spec, length, l, shank=0, tolerance=undef, details=true, anchor=undef,anchor_head=undef,spin=0, orient=UP)
module screw(name, head="none", drive, thread="coarse", drive_size, oversize=0, internal=false,
spec, length, l, shank=0, tolerance=undef, details=true, shank_diam, counterbore=0,
atype="shaft",anchor=BOTTOM,spin=0, orient=UP)
{
a=echo(ssthread=thread);
spec = _validate_screw_spec(
is_def(spec) ? spec : screw_info(name, head, drive, thread=thread, drive_size=drive_size, oversize=oversize) );
echo(sthread=thread);
is_def(spec) ? spec
: screw_info(name, head, drive, thread=thread, drive_size=drive_size, oversize=oversize) );
echo_struct(spec,"spec");
head = struct_val(spec,"head");
pitch = struct_val(spec, "pitch");
diameter = struct_val(spec, "diameter");
nominal_diam = struct_val(spec, "diameter");
threadspec = pitch==0 ? undef : thread_specification(spec, internal=internal, tolerance=tolerance);
d_major = pitch==0 ? nominal_diam : mean(struct_val(threadspec, "d_major"));
shank_diam = first_defined([u_add(shank_diam,oversize),d_major]);
headless = head=="none";
dummy1 = assert(in_list(atype,["shaft","head"]));
dummy2 = assert(atype=="shaft" || !headless, "You cannot anchor headless screws with atype=\"head\"");
eps = headless ? 0
: starts_with(head,"flat") ? -0.01
: 0.01;
screwlen = one_defined([l,length],"l,length",dflt=undef);
length = u_add(first_defined([screwlen,struct_val(spec,"length")]) , eps);
assert(all_positive(length), "Must specify positive length");
sides = max(12, segs(diameter/2));
dummy3 = assert(all_positive(length), "Must specify positive length");
sides = max(12, segs(nominal_diam/2));
unthreaded = is_undef(pitch) || pitch==0 ? length : shank;
threaded = u_add(length,-unthreaded);
//dd=assert(threaded==0 || oversize==0, "Only unthreaded screws can be made with nonzero oversize");
echo(t=threaded,length,unthreaded);
head_height = headless || starts_with(head, "flat") ? 0 : struct_val(spec, "head_height");
head_diam = struct_val(spec, "head_size");
head_size = headless ? [diameter, diameter, head_height] :
head == "hex" ? [head_diam, head_diam*2/sqrt(3), head_height] :
[head_diam, head_diam, head_height];
assert(num_defined([anchor,anchor_head])<=1, "Cannot define both `anchor` and `anchor_head`");
head_anchor = is_def(anchor_head);
attach_size = atype=="head" && head=="hex" ? [head_diam, head_diam*2/sqrt(3), head_height] : undef;
attach_d = atype=="shaft" ? d_major
: head=="hex" ? undef
: head_diam;
attach_l = atype=="shaft" ? length
: head=="hex" ? undef
: head_height;
attachable(
d = head_anchor ? head_size[0] : diameter, // This code should be tweaked to pass diameter and length more cleanly
l = head_anchor ? head_size[2] : length,
size = attach_size,
d = attach_d,
l = attach_l,
orient = orient,
anchor = first_defined([anchor, anchor_head, BOTTOM]),
//offset = head_anchor ? [0,0,head_height/2] : [0,0,-length/2],
spin = spin
)
anchor = anchor,
spin = spin)
{
up(head_anchor ? -head_height/2 : length/2)
up(atype=="head" ? -head_height/2 : length/2)
difference(){
union(){
screw_head(spec,details);
screw_head(spec,details,counterbore=counterbore);
up(eps){
if (unthreaded>0){
cyl(d=diameter, h=unthreaded+eps+(threaded>0?0.01:0), anchor=TOP, $fn=sides);
}
if (threaded>0)
intersection(){
if (unthreaded>0)
cyl(d=shank_diam, h=unthreaded+eps+(threaded>0?0.01:0), anchor=TOP, $fn=sides);
if (threaded>0){
down(unthreaded)
_rod(spec, length=threaded+eps, tolerance=tolerance, $fn=sides, anchor=TOP );
if (details)
up(.01)cyl(d=diameter, l=length+.02+eps, chamfer1 = pitch/2, chamfer2 = headless ? pitch/2 : -pitch/2, anchor=TOP, $fn=sides);
threaded_rod([mean(struct_val(threadspec, "d_minor")),
mean(struct_val(threadspec, "d_pitch")),
d_major],
pitch = struct_val(threadspec, "pitch"),
l=threaded+eps, left_handed=false, internal=internal,
bevel1=details, $fn=sides, anchor=TOP);
}
}
}
_driver(spec);
if (!internal) _driver(spec);
}
children();
}
@ -369,7 +385,6 @@ module screw(name, head="none", drive, thread="coarse", drive_size, oversize=0,
module _driver(spec)
{
drive = struct_val(spec,"drive");
echo(drive=drive);
if (is_def(drive) && drive!="none") {
echo(inside_drive=drive);
head = struct_val(spec,"head");
@ -380,7 +395,6 @@ module _driver(spec)
drive_depth = first_defined([struct_val(spec, "drive_depth"), .7*diameter]); // Note hack for unspecified depth
head_top = starts_with(head,"flat") || head=="none" ? 0 :
struct_val(spec,"head_height");
echo(drive_size=drive_size);
up(head_top-drive_depth){
// recess should be positioned with its bottom center at (0,0) and the correct recess depth given above
if (drive=="phillips") phillips_mask(drive_size,anchor=BOTTOM);
@ -561,18 +575,6 @@ function _exact_thread_tolerance(d,P) =
module _rod(spec, length, tolerance, orient=UP, spin=0, anchor=CENTER)
{
threadspec = thread_specification(spec, internal=false, tolerance=tolerance);
echo(d_major_mean = mean(struct_val(threadspec, "d_major")));
threaded_rod([mean(struct_val(threadspec, "d_minor")),
mean(struct_val(threadspec, "d_pitch")),
mean(struct_val(threadspec, "d_major"))],
pitch = struct_val(threadspec, "pitch"),
l=length, left_handed=false,
bevel=false, orient=orient, anchor=anchor, spin=spin);
}
// Module: nut()
@ -618,10 +620,10 @@ module _rod(spec, length, tolerance, orient=UP, spin=0, anchor=CENTER)
// mark(3) nut("1/4-20", thickness=8, diameter=0.5*INCH,tolerance="3B");
// }
function nut(name, diameter, thickness, thread="coarse", oversize=0, spec, tolerance=undef,
function nut(name, diameter, thickness, thread="coarse", spec, tolerance=undef,
bevel=false, anchor=BOTTOM,spin=0, orient=UP) = no_function("nut");
module nut(name, diameter, thickness, thread="coarse", oversize=0, spec, tolerance=undef,
module nut(name, diameter, thickness, thread="coarse", spec, tolerance=undef,
bevel=false, anchor=BOTTOM,spin=0, orient=UP)
{
assert(is_num(diameter) && diameter>0);
@ -643,6 +645,7 @@ module nut(name, diameter, thickness, thread="coarse", oversize=0, spec, toleran
function _parse_screw_name(name) =
let( commasplit = str_split(name,","),
length = parse_num(commasplit[1]),
@ -663,13 +666,13 @@ function _parse_screw_name(name) =
// drive can be "hex", "phillips", "slot", "torx", or "none"
// or you can specify "ph0" up to "ph4" for phillips and "t20" for torx 20
function _parse_drive(drive=undef, drive_size=undef) =
let(f=echo(drive_size=drive_size))
is_undef(drive) ? ["none",undef] :
is_undef(drive) ? ["none",undef]
: assert(is_string(drive))
let(drive = downcase(drive))
in_list(drive,["hex","phillips", "slot", "torx", "phillips", "none"]) ? [drive, drive_size] :
drive[0]=="t" ? let(size = parse_int(substr(drive,1))) ["torx",size,torx_depth(size) ] :
substr(drive,0,2)=="ph" ? ["phillips", parse_int(substr(drive,2))] :
assert(str("Unknown screw drive type ",drive));
in_list(drive,["hex","phillips", "slot", "torx", "phillips", "none"]) ? [drive, drive_size]
: drive[0]=="t" ? let(size = parse_int(substr(drive,1))) ["torx",size,torx_depth(size) ]
: starts_with(drive,"ph") && search(drive[2], "01234")!=[] ? ["phillips", ord(drive[2])-ord("0")]
: assert(false,str("Unknown screw drive type ",drive));
// Module: screw_head()
@ -685,28 +688,42 @@ function _parse_drive(drive=undef, drive_size=undef) =
// screw_info = structure produced by {{screw_info()}}
// details = true for more detailed model. Default: false
function screw_head(screw_info,details=false) = no_function("screw_head");
module screw_head(screw_info,details=false) {
module screw_head(screw_info,details=false, counterbore=0) {
no_children($children);
head = struct_val(screw_info, "head");
head_size = struct_val(screw_info, "head_size");
head_height = struct_val(screw_info, "head_height");
if (head=="flat") {
dum0=assert(is_def(head_height) || in_list(head,["flat","none"]), "Undefined head height only allowed with flat head or headless screws");
heightok = (is_undef(head_height) && in_list(head,["flat","none"])) || all_positive(head_height);
dum1=assert(heightok, "Head hight must be a postive number");
dum2=assert(counterbore==0 || counterbore==false || head!="none", "Cannot counterbore a headless screw");
counterbore = counterbore==false? 0
: head!="flat" && counterbore==true ? head_height
: counterbore;
assert(all_nonnegative(counterbore), str(counterbore==true? "Must specify numerical counterbore height with flat head screw"
: "Counterbore must be a nonnegative number"));
if (head!="flat" && counterbore>0)
cyl(d=head=="hex"? 2*head_size/sqrt(3) : head_size, l=counterbore, anchor=BOTTOM);
if (head=="flat") { // For flat head, counterbore is integrated
angle = struct_val(screw_info, "head_angle")/2;
full_height = head_size/2/tan(angle);
height = is_def(head_height) ? head_height : full_height;
d2 = head_size*(1-height/full_height);
zflip()
cyl(d1=head_size, d2=d2, l=height, anchor=BOTTOM);
// if head_height is set we are making an undercut flat head
height = first_defined([head_height, full_height]);
r1 = head_size/2;
r2 = r1*(1-height/full_height); // r2 is zero unless the head is undercut
rotate_extrude()
polygon([[0,-height],[r2,-height],[r1,0],if (counterbore>0) [r1,counterbore], [0,counterbore]]);
}
if (head!="flat" && first_defined([head_height,0])>counterbore){
if (in_list(head,["round","pan round","button","fillister","cheese"])) {
base = head=="fillister" ? 0.75*head_height :
head=="pan round" ? .6 * head_height :
head=="cheese" ? .7 * head_height :
0.1 * head_height; // round and button
head_size2 = head=="cheese" ? head_size-2*tan(5)*head_height : head_size; // 5 deg slope on cheese head
cyl(l=base, d1=head_size, d2=head_size2,anchor=BOTTOM, $fn=32)
cyl(l=base, d1=head_size, d2=head_size2,anchor=BOTTOM)
attach(TOP)
rotate_extrude($fn=32)
rotate_extrude()
intersection(){
arc(points=[[-head_size2/2,0], [0,-base+head_height * (head=="button"?4/3:1)], [head_size2/2,0]]);
square([head_size2, head_height-base]);
@ -715,7 +732,7 @@ module screw_head(screw_info,details=false) {
if (head=="pan flat")
cyl(l=head_height, d=head_size, rounding2=0.2*head_size, anchor=BOTTOM);
if (head=="socket")
cyl(l=head_height, d=head_size, anchor=BOTTOM);
cyl(l=head_height, d=head_size, anchor=BOTTOM, chamfer2=details?struct_val(screw_info,"diameter")/10:undef);
if (head=="hex")
intersection(){
linear_extrude(height=head_height) hexagon(id=head_size);
@ -723,6 +740,7 @@ module screw_head(screw_info,details=false) {
down(.01)cyl(l=head_height+.02,d=2*head_size/sqrt(3), chamfer=head_size*(1/sqrt(3)-1/2), anchor=BOTTOM);
}
}
}
@ -769,16 +787,17 @@ function screw_info(name, head="none", drive, thread="coarse", drive_size=undef,
drive_info = _parse_drive(drive, drive_size),
drive=drive_info[0],
screwdata =
type[0] == "english" ? _screw_info_english(type[1],type[2], head, thread, drive) :
type[0] == "metric" ? _screw_info_metric(type[1], type[2], head, thread, drive) :
[],
type[0] == "english" ? _screw_info_english(type[1],type[2], head, thread, drive)
: type[0] == "metric" ? _screw_info_metric(type[1], type[2], head, thread, drive)
: [],
over_ride = concat(
len(drive_info)>=3 ? ["drive_depth", drive_info[2]] : [],
is_def(type[3]) ? ["length",type[3]] : [],
is_def(drive_info[1]) ? ["drive_size", drive_info[1]] : [],
["diameter", oversize+struct_val(screwdata,"diameter"),
"head_size", u_add(oversize,struct_val(screwdata,"head_size"))]
)
),
dfe=echo(over_ride=over_ride)
)
struct_set(screwdata, over_ride);
@ -889,11 +908,11 @@ function _screw_info_english(diam, threadcount, head, thread, drive) =
[["head", "hex"], ["head_size", INCH*entry[0]], ["head_height", INCH*entry[1]]] :
head=="socket" ? let(
UTS_socket = [ // height = screw diameter
//diam, hex, torx size, philips depth, torx depth
//diam, hex, torx size, hex depth, torx depth
["#0", [ 0.096, 0.05, 6, 0.025, 0.027]],
["#1", [ 0.118, 1/16, 7, 0.031, 0.036]],
["#2", [ 9/64, 5/64, 8, 0.038, 0.037]],
["#3", [ 0.161, 5/64, 8, 0.044, 0.041]], // For larger sizes, recess depth is
["#3", [ 0.161, 5/64, 8, 0.044, 0.041]], // For larger sizes, hex recess depth is
["#4", [ 0.183, 3/32, 10, 0.051, 0.049]], // half the diameter
["#5", [ 0.205, 3/32, 10, 0.057, 0.049]],
["#6", [ 0.226, 7/64, 15, 0.064, 0.058]],
@ -927,18 +946,19 @@ function _screw_info_english(diam, threadcount, head, thread, drive) =
concat([["head","socket"],["head_size",INCH*entry[0]], ["head_height", INCH*diameter]],drive_size) :
head=="pan" ? let (
UTS_pan = [ // pan head for phillips or slotted
// diam, head ht slotted, head height phillips, phillips drive, phillips diam, phillips width, phillips depth, slot width, slot depth
// head height
// diam, slotted phillips phillips drive, phillips diam, phillips width, phillips depth, slot width, slot depth torx size
["#0", [0.116, 0.039, 0.044, 0, 0.067, 0.013, 0.039, 0.023, 0.022]],
["#1", [0.142, 0.046, 0.053, 0, 0.085, 0.015, 0.049, 0.027, 0.027]],
["#2", [0.167, 0.053, 0.063, 1, 0.104, 0.017, 0.059, 0.031, 0.031]],
["#2", [0.167, 0.053, 0.063, 1, 0.104, 0.017, 0.059, 0.031, 0.031, 8]],
["#3", [0.193, 0.060, 0.071, 1, 0.112, 0.019, 0.068, 0.035, 0.036]],
["#4", [0.219, 0.068, 0.080, 1, 0.122, 0.019, 0.078, 0.039, 0.040]],
["#4", [0.219, 0.068, 0.080, 1, 0.122, 0.019, 0.078, 0.039, 0.040, 10]],
["#5", [0.245, 0.075, 0.089, 2, 0.158, 0.028, 0.083, 0.043, 0.045]],
["#6", [0.270, 0.082, 0.097, 2, 0.166, 0.028, 0.091, 0.048, 0.050]],
["#8", [0.322, 0.096, 0.115, 2, 0.182, 0.030, 0.108, 0.054, 0.058]],
["#10",[0.373, 0.110, 0.133, 2, 0.199, 0.031, 0.124, 0.060, 0.068]],
["#6", [0.270, 0.082, 0.097, 2, 0.166, 0.028, 0.091, 0.048, 0.050, 15]],
["#8", [0.322, 0.096, 0.115, 2, 0.182, 0.030, 0.108, 0.054, 0.058, 20]],
["#10",[0.373, 0.110, 0.133, 2, 0.199, 0.031, 0.124, 0.060, 0.068, 25]],
["#12",[0.425, 0.125, 0.151, 3, 0.259, 0.034, 0.141, 0.067, 0.077]],
[1/4, [0.492, 0.144, 0.175, 3, 0.281, 0.036, 0.161, 0.075, 0.087]],
[1/4, [0.492, 0.144, 0.175, 3, 0.281, 0.036, 0.161, 0.075, 0.087, 30]],
[5/16, [0.615, 0.178, 0.218, 4, 0.350, 0.059, 0.193, 0.084, 0.106]],
[3/8, [0.740, 0.212, 0.261, 4, 0.389, 0.065, 0.233, 0.094, 0.124]],
],
@ -946,7 +966,7 @@ function _screw_info_english(diam, threadcount, head, thread, drive) =
entry = struct_val(UTS_pan, diam),
drive_size = drive=="phillips" ? [["drive_size", entry[3]], ["drive_diameter",INCH*entry[4]],["drive_width",INCH*entry[5]],["drive_depth",INCH*entry[6]]] :
[["drive_width", INCH*entry[7]], ["drive_depth",INCH*entry[8]]])
concat([["head","pan"], ["head_size", INCH*entry[0]], ["head_height", INCH*entry[htind]]], drive_size) :
concat([["head","pan round"], ["head_size", INCH*entry[0]], ["head_height", INCH*entry[htind]]], drive_size) :
head=="button" || head=="round" ? let(
UTS_button = [ // button, hex or torx drive
// head diam, height, phillips, hex, torx, hex depth
@ -1069,7 +1089,6 @@ function _screw_info_english(diam, threadcount, head, thread, drive) =
driveind = small && drive=="phillips" || !small && drive=="hex" ? 1 :
drive=="torx" ? 2 :
undef,
fff=echo("------------------------", driveind),
drive_dims = small ? (
drive=="phillips" && !undercut ? [["drive_diameter",INCH*entry[4]],
["drive_width",INCH*entry[6]],["drive_depth",INCH*entry[5]]] :
@ -1199,26 +1218,27 @@ function _screw_info_metric(diam, pitch, head, thread, drive) =
)
[["head", "hex"], ["head_size", entry[0]], ["head_height", entry[1]]] :
head=="socket" ? let(
// ISO 14579 gives dimensions for Torx (hexalobular) socket heads
metric_socket = [ // height = screw diameter
//diam, hex
//diam, hex, torx size, torx depth
[1.4, [2.5, 1.3]],
[1.6, [3, 1.5]],
[2, [3.8, 1.5, 6, 0.77]],
[2.5, [4.5, 2, 8, 1.05]],
[2, [3.8, 1.5, 6, 0.775]],
[2.5, [4.5, 2, 8, 0.975]],
[2.6, [5, 2, 8, 1.05]],
[3, [5.5, 2.5, 10, 1.24]],
[3, [5.5, 2.5, 10, 1.14]],
[3.5, [6.2, 2.5]] ,
[4, [7, 3, 25, 1.76]],
[5, [8.5, 4, 27, 2.24]],
[6, [10, 5, 30, 2.47]],
[4, [7, 3, 25, 1.61]],
[5, [8.5, 4, 27, 1.84]],
[6, [10, 5, 30, 2.22]],
[7, [12, 6]],
[8, [13, 6, 45, 3.48]],
[10, [16, 8, 50, 3.93]],
[12, [18, 10, 55, 5.15]],
[14, [21, 12]],
[16, [24, 14, 70, 7.39]],
[18, [27, 14]],
[20, [30, 17, 90, 9.67]],
[8, [13, 6, 45, 3.115]],
[10, [16, 8, 50, 3.82]],
[12, [18, 10, 55, 5.015]],
[14, [21, 12, 60, 5.805]],
[16, [24, 14, 70, 6.815]],
[18, [27, 14, 80, 7.75]],
[20, [30, 17, 90, 8.945]],
[22, [33, 17]],
[24, [36, 19, 100, 10.79]],
[27, [40, 19]],
@ -1235,29 +1255,33 @@ function _screw_info_metric(diam, pitch, head, thread, drive) =
)
concat([["head","socket"],["head_size",entry[0]], ["head_height", diam]],drive_size) :
starts_with(head,"pan") ? let (
metric_pan = [ // pan head for phillips or slotted
// diam, slotted diam, phillips diam, phillips depth, ph width, slot width,slot depth
metric_pan = [ // pan head for phillips or slotted, torx from ISO 14583
// head height
// diam, slotted phillips phillips size phillips diam, phillips depth, ph width, slot width,slot depth, torx size, torx depth
[1.6, [3.2, 1 , 1.3, 0, undef, undef, undef, 0.4, 0.35]],
[2, [4, 1.3, 1.6, 1, 1.82, 1.19, 0.48, 0.5, 0.5]],
[2.5,[5, 1.5, 2, 1, 2.68, 1.53, 0.70, 0.6, 0.6]],
[3, [5.6, 1.8, 2.4, 1, 2.90, 1.76, 0.74, 0.8, 0.7]],
[3.5,[7, 2.1, 3.1, 2, 3.92, 1.95, 0.87, 1.0, 0.8]],
[4, [8, 2.4 , 3.1, 2, 4.40, 2.45, 0.93, 1.2, 1.0]],
[5, [9.5, 3, 3.8, 2, 4.90, 2.95, 1.00, 1.2, 1.2]],
[6, [12, 3.6, 4.6, 3, 6.92, 3.81, 1.14, 1.6, 1.4]],
[8, [16, 4.8, 6, 4, 9.02, 4.88, 1.69, 2.0, 1.9]],
[10, [20, 6.0, 7.5, 4, 10.18, 5.09, 1.84,2.5, 2.4]],
[2, [4, 1.3, 1.6, 1, 1.82, 1.19, 0.48, 0.5, 0.5, 6, 0.7]],
[2.5, [5, 1.5, 2, 1, 2.68, 1.53, 0.70, 0.6, 0.6, 8, 0.975]],
[3, [5.6, 1.8, 2.4, 1, 2.90, 1.76, 0.74, 0.8, 0.7, 10, 1.14]],
[3.5, [7, 2.1, 3.1, 2, 3.92, 1.95, 0.87, 1.0, 0.8, 15, 1.2]],
[4, [8, 2.4 , 3.1, 2, 4.40, 2.45, 0.93, 1.2, 1.0, 20, 1.465]],
[5, [9.5, 3, 3.8, 2, 4.90, 2.95, 1.00, 1.2, 1.2, 25, 1.715]],
[6, [12, 3.6, 4.6, 3, 6.92, 3.81, 1.14, 1.6, 1.4, 30, 2.22]],
[8, [16, 4.8, 6, 4, 9.02, 4.88, 1.69, 2.0, 1.9, 45, 2.985]],
[10, [20, 6.0, 7.5, 4, 10.18, 5.09, 1.84, 2.5, 2.4, 50, 3.82]],
],
type = head=="pan" ? (drive=="slot" ? "pan flat" : "pan round") : head,
htind = drive=="slot" ? 1 : 2,
entry = struct_val(metric_pan, diam),
drive_size = drive=="phillips" ? [["drive_size", entry[3]], ["drive_diameter", entry[4]], ["drive_depth",entry[5]], ["drive_width",entry[6]]] :
drive=="slot" ? [["drive_width", entry[7]], ["drive_depth", entry[8]]] : []
drive_size = drive=="phillips" ? [["drive_size", entry[3]], ["drive_diameter", entry[4]], ["drive_depth",entry[5]], ["drive_width",entry[6]]]
: drive=="torx" ? [["drive_size", entry[9]], ["drive_depth", entry[10]]]
: drive=="slot" ? [["drive_width", entry[7]], ["drive_depth", entry[8]]]
: []
)
concat([["head",type], ["head_size", entry[0]], ["head_height", entry[htind]]], drive_size) :
head=="button" || head=="cheese" ? let(
// hex drive depth from ISO 7380-1
metric_button = [ // button, hex drive
// head diam, height, hex, phillips, hex drive depth
// head diam, height, hex, phillips, hex drive depth, torx size, torx depth
[1.6, [2.9, 0.8, 0.9, undef, 0.55]], // These four cases,
[2, [3.5, 1.3, 1.3, undef, 0.69]], // extrapolated hex depth
[2.2, [3.8, 0.9, 1.3, undef, 0.76]], //
@ -1268,54 +1292,75 @@ function _screw_info_metric(diam, pitch, head, thread, drive) =
[5, [9.5, 2.75, 3, undef, 1.56, 25, 1.56]],
[6, [10.5, 3.3, 4, undef, 2.08, 27, 2.08]],
[8, [14, 4.4, 5, undef, 2.60, 40, 2.3]],
[10, [17.5,5.5, 6, undef, 3.21, 45, 2.69]],
[10, [17.5, 5.5, 6, undef, 3.12, 45, 2.69]],
[12, [21, 6.6, 8, undef, 4.16, 55, 4.02]],
[16, [28, 8.8, 10, undef, 5.55]], // interpolated hex depth
[16, [28, 8.8, 10, undef, 5.2]],
],
metric_cheese = [ // slotted, phillips ISO 1207, ISO 7048
// head diam, head height, hex drive, phillips drive, slot width, slight depth, ph diam
// hex drive is not supported (hence undefs)
// head diam, head height, hex drive, phillips drive, slot width, slot depth, ph diam
[1, [2, 0.7, undef, undef]],
[1.2, [2.3, 0.8, undef, undef]],
[1.4, [2.6, 0.9, undef, undef]],
[1.6, [3, 1, undef, undef, 0.4, 0.45]],
[2, [3.8,1.3, undef, 1 , 0.5, 0.6]],
[2.5, [4.5,1.6, undef, 1 , 0.6, 0.7, 2.7,1.2]],
[2, [3.8, 1.3, undef, 1 , 0.5, 0.6, undef, undef]],
[2.5, [4.5, 1.6, undef, 1 , 0.6, 0.7, 2.7, 1.20]],
[3, [5.5, 2, undef, 2 , 0.8, 0.85, 3.5, 0.86]],
[3.5, [6, 2.4, undef, 2 , 1.0, 1.0, 3.8, 1.15]],
[4, [7, 2.6, undef, 2 , 1.2, 1.1, 4.1, 1.45]],
[5, [8.5, 3.3, undef, 2 , 1.2, 1.3, 4.8, 2.14]],
[6, [10, 3.9, undef, 3 , 1.6, 1.6, 6.2, 2.25]],
[8, [13, 5, undef, 3 , 2.0, 2.0, 7.7, 3.73]],
[10, [16, 6, undef, undef, 2.5, 2.4]]
[10, [16, 6, undef, undef, 2.5, 2.4, undef, undef]]
],
entry = struct_val(head=="button" ? metric_button : metric_cheese, diam),
drive_index = drive=="phillips" ? 3 :
drive=="hex" ? 2 : undef,
drive_dim = head=="button" && drive=="hex" ? [["drive_depth", entry[4]]] :
head=="button" && drive=="torx" ? [["drive_size", entry[5]],["drive_depth", entry[6]]] :
head=="cheese" && drive=="slot" ? [["drive_width", entry[4]], ["drive_depth", entry[5]]] :
head=="cheese" && drive=="phillips" ? [["drive_diameter", entry[6]], ["drive_depth", entry[7]],
["drive_width", entry[6]/4]]: // Fabricated this width value to fill in missing field
[],
drive_size = is_def(drive_index) ? [["drive_size", entry[drive_index]]] : []
metric_cheese_torx = [ // torx cheese, ISO 14580, the heads are taller than other cheese screws
//head diam, head height, torx size, torx depth
[2, [3.8, 1.55, 6, 0.775]],
[2.5, [4.5, 1.85, 8, 0.845]],
[3, [5.5, 2.4, 10, 1.14]],
[3.5, [6, 2.6, 15, 1.2]],
[4, [7, 3.1, 20, 1.465]],
[5, [8.5, 3.65, 25, 1.715]],
[6, [10, 4.4, 30, 2.095]],
[8, [13, 5.8, 45, 2.855]],
[10, [16, 6.9, 59, 3.235]]
],
entry = struct_val( head=="button" ? metric_button
: drive=="torx"? metric_cheese_torx
: metric_cheese,
diam),f=echo(entry=entry),
drive_index = drive=="phillips" ? 3
: drive=="hex" ? 2
: undef,
drive_dim = head=="button" && drive=="hex" ? [["drive_depth", entry[4]]]
: head=="button" && drive=="torx" ? [["drive_size", entry[5]],["drive_depth", entry[6]]]
: head=="cheese" && drive=="torx" ? [["drive_size", entry[2]],["drive_depth", entry[3]]]
: head=="cheese" && drive=="slot" ? [["drive_width", entry[4]], ["drive_depth", entry[5]]]
: head=="cheese" && drive=="phillips" ? [["drive_diameter", entry[6]], ["drive_depth", entry[7]],
["drive_width", entry[6]/4]] // Fabricated this width value to fill in missing field
:[],
drive_size = is_def(drive_index) ? [["drive_size", entry[drive_index]]] : [],
fda=echo(ds=drive_size)
)
concat([["head",head],["head_size",entry[0]], ["head_height", entry[1]]],drive_size, drive_dim) :
starts_with(head,"flat") ? let(
small = head == "flat small" || (head=="flat" && (drive!="hex" && drive!="torx")),
metric_flat_large = [ // for hex drive
// diam hex size hex depth torx torx depth
[2, [4, 1.3, undef]],
[2.5,[5, 1.5, undef]],
[3, [6, 2 , 1.1, 10, 0.96]],
[4, [8, 2.5, 1.5, 20, 1.34]],
[4, [8.25, 2.5, 1.5, 20, 1.34]],
[5, [10, 3 , 1.9, 25, 1.54]],
[6, [12, 4 , 2.2, 30, 1.91]],
[8, [16, 5 , 3.0, 40, 2.3]],
[10, [20, 6 , 3.6, 50, 3.04]],
[12, [24, 8 ,undef]],
[14, [27, 10 ,undef]],
[16, [30, 10 ,undef]],
[6, [12.5, 4 , 2.2, 30, 1.91]],
[8, [16.5, 5 , 3.0, 40, 2.3]],
[10, [21, 6 , 3.6, 50, 3.04]],
[12, [25, 8 , 4.3]],
[14, [28.5, 10 , 4.5]],
[16, [31, 10 , 4.8]],
[18, [33, 12 , undef]],
[20, [36, 12 ,undef]],
[20, [38, 12 , 5.6]]
],
metric_flat_small = [ // for phillips, slotted
// Phillips from ASME B18.6.7M (ISO 7046 gives different values),
@ -1353,7 +1398,8 @@ function _screw_info_metric(diam, pitch, head, thread, drive) =
drive_dim
) : []
)
concat([["system","ISO"],["diameter",diam],["pitch", pitch],["drive",drive]],
concat(
[["system","ISO"],["diameter",diam],["pitch", pitch],["drive",drive]],
head_data
);
@ -1389,7 +1435,7 @@ function _validate_screw_spec(spec) = let(
assert(diamOK, str("Screw spec has invalid \"diameter\", ", struct_val(spec,"diameter")))
assert(pitchOK, str("Screw spec has invalid \"pitch\", ", pitch))
assert(headOK, "Screw spec head type invalid or unknown for your screw type and size")
assert(driveOK, "Screw drive type invalid or unknown for your screw size or head type")
assert(driveOK, str("Screw drive type \"",drive,"\" invalid or unknown for your screw size or head type, \"",head,"\""))
spec;
@ -1465,4 +1511,107 @@ http://files.engineering.com/getfile.aspx?folder=76fb0d5e-1fff-4c49-87a5-0597947
// thread standards:
// https://www.gewinde-normen.de/en/index.html
///////////////////////////////////////////////////////
//
// how to make screw mask: examples (e.g. for clearance hole w/ countersink)
// how to make a screw hole (a mask function?)
//
// vim: expandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
/*
["#0", 0.0615 (.-002 to 0)
["#1", 3/32
["#2", 3/32
["#3", 1/8
["#4", 1/8
["#5", 5/32
["#6", 5/32
["#8", 3/16
["#10",1/4
["#12",
[1/4, 5/16 .004
[5/16, 3/8
[3/8, 1/2 .004
[7/16,
[1/2, 5/8
[9/16,
[5/8, 3/4
[3/4, 1
[7/8, 1 1/4
[1, 1 1/2
[1.125, 1 1/2
[1.25,
[1.375,
[1.5,
[1.75,
[2,
[1 ,
[1.2,
[1.4,
[1.6, 2 .072 to .01 tol
[1.7,
[1.8,
[2 , 3
[2.2,
[2.3,
[2.5,
[2.6,
[3 , 4
[3.5,
[4 , 5
[5 , 6 (or 6.5)
[6 , 8
[7 ,
[8 , 10
[9 ,
[10 , 12 or 13
[11 ,
[12 , 16
[14 ,
[16 , 20
[18 ,
[20 , 24
[22 ,
[24 ,
[27 ,
[30 ,
[33 ,
[36 ,
[39 ,
[42 ,
[45 ,
[48 ,
[52 ,
[56 ,
[60 ,
[64 ,
[68 ,
[72 ,
[80 ,
[90 ,
[100,
*/
/*
knurling table for metric socket heads:
added diameter:
m2-m3: +0.18
m4-m6: +0.22
m8-m12: +0.27
m14-m20: +0.33
*/