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BOSL2/metric_screws.scad
Revar Desmera 5769ef1036 Removed BOSL2/ from includes.
2020-03-28 20:50:04 -07:00

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//////////////////////////////////////////////////////////////////////
// LibFile: metric_screws.scad
// Screws, Bolts, and Nuts.
// To use, include the following lines at the top of your file:
// ```
// include <BOSL2/std.scad>
// include <BOSL2/metric_screws.scad>
// ```
//////////////////////////////////////////////////////////////////////
include <threading.scad>
include <phillips_drive.scad>
include <torx_drive.scad>
// Section: Functions
// Function: get_metric_bolt_head_size()
// Description: Returns the diameter of a typical metric bolt's head, based on the bolt `size`.
function get_metric_bolt_head_size(size) = lookup(size, [
[ 3.0, 5.5],
[ 4.0, 7.0],
[ 5.0, 8.0],
[ 6.0, 10.0],
[ 7.0, 11.0],
[ 8.0, 13.0],
[10.0, 17.0],
[12.0, 19.0],
[14.0, 22.0],
[16.0, 24.0],
[18.0, 27.0],
[20.0, 30.0],
[24.0, 36.0],
[30.0, 46.0],
[36.0, 55.0],
[42.0, 65.0],
[48.0, 75.0],
[56.0, 85.0],
[64.0, 95.0]
]);
// Function: get_metric_bolt_head_height()
// Description: Returns the height of a typical metric bolt's head, based on the bolt `size`.
function get_metric_bolt_head_height(size) = lookup(size, [
[ 1.6, 1.23],
[ 2.0, 1.53],
[ 2.5, 1.83],
[ 3.0, 2.13],
[ 4.0, 2.93],
[ 5.0, 3.65],
[ 6.0, 4.15],
[ 8.0, 5.45],
[10.0, 6.58],
[12.0, 7.68],
[14.0, 8.98],
[16.0, 10.18],
[20.0, 12.72],
[24.0, 15.35],
[30.0, 19.12],
[36.0, 22.92],
[42.0, 26.42],
[48.0, 30.42],
[56.0, 35.50],
[64.0, 40.50]
]);
// Function: get_metric_socket_cap_diam()
// Description: Returns the diameter of a typical metric socket cap bolt's head, based on the bolt `size`.
function get_metric_socket_cap_diam(size) = lookup(size, [
[ 1.6, 3.0],
[ 2.0, 3.8],
[ 2.5, 4.5],
[ 3.0, 5.5],
[ 4.0, 7.0],
[ 5.0, 8.5],
[ 6.0, 10.0],
[ 8.0, 13.0],
[10.0, 16.0],
[12.0, 18.0],
[14.0, 21.0],
[16.0, 24.0],
[18.0, 27.0],
[20.0, 30.0],
[22.0, 33.0],
[24.0, 36.0],
[27.0, 40.0],
[30.0, 45.0],
[33.0, 50.0],
[36.0, 54.0],
[42.0, 63.0],
[48.0, 72.0],
[56.0, 84.0],
[64.0, 96.0]
]);
// Function: get_metric_socket_cap_height()
// Description: Returns the height of a typical metric socket cap bolt's head, based on the bolt `size`.
function get_metric_socket_cap_height(size) = lookup(size, [
[ 1.6, 1.7],
[ 2.0, 2.0],
[ 2.5, 2.5],
[ 3.0, 3.0],
[ 4.0, 4.0],
[ 5.0, 5.0],
[ 6.0, 6.0],
[ 8.0, 8.0],
[10.0, 10.0],
[12.0, 12.0],
[14.0, 14.0],
[16.0, 16.0],
[18.0, 18.0],
[20.0, 20.0],
[22.0, 22.0],
[24.0, 24.0],
[27.0, 27.0],
[30.0, 30.0],
[33.0, 33.0],
[36.0, 36.0],
[42.0, 42.0],
[48.0, 48.0],
[56.0, 56.0],
[64.0, 64.0]
]);
// Function: get_metric_socket_cap_socket_size()
// Description: Returns the diameter of a typical metric socket cap bolt's hex drive socket, based on the bolt `size`.
function get_metric_socket_cap_socket_size(size) = lookup(size, [
[ 1.6, 1.5],
[ 2.0, 1.5],
[ 2.5, 2.0],
[ 3.0, 2.5],
[ 4.0, 3.0],
[ 5.0, 4.0],
[ 6.0, 5.0],
[ 8.0, 6.0],
[10.0, 8.0],
[12.0, 10.0],
[14.0, 12.0],
[16.0, 14.0],
[18.0, 14.0],
[20.0, 17.0],
[22.0, 17.0],
[24.0, 19.0],
[27.0, 19.0],
[30.0, 22.0],
[33.0, 24.0],
[36.0, 27.0],
[42.0, 32.0],
[48.0, 36.0],
[56.0, 41.0],
[64.0, 46.0]
]);
// Function: get_metric_socket_cap_socket_depth()
// Description: Returns the depth of a typical metric socket cap bolt's hex drive socket, based on the bolt `size`.
function get_metric_socket_cap_socket_depth(size) = lookup(size, [
[ 1.6, 0.7],
[ 2.0, 1.0],
[ 2.5, 1.1],
[ 3.0, 1.3],
[ 4.0, 2.0],
[ 5.0, 2.5],
[ 6.0, 3.0],
[ 8.0, 4.0],
[10.0, 5.0],
[12.0, 6.0],
[14.0, 7.0],
[16.0, 8.0],
[18.0, 9.0],
[20.0, 10.0],
[22.0, 11.0],
[24.0, 12.0],
[27.0, 13.5],
[30.0, 15.5],
[33.0, 18.0],
[36.0, 19.0],
[42.0, 24.0],
[48.0, 28.0],
[56.0, 34.0],
[64.0, 38.0]
]);
// Function: get_metric_iso_coarse_thread_pitch()
// Description: Returns the ISO metric standard coarse threading pitch for a given bolt `size`.
function get_metric_iso_coarse_thread_pitch(size) = lookup(size, [
[ 1.6, 0.35],
[ 2.0, 0.40],
[ 2.5, 0.45],
[ 3.0, 0.50],
[ 4.0, 0.70],
[ 5.0, 0.80],
[ 6.0, 1.00],
[ 7.0, 1.00],
[ 8.0, 1.25],
[10.0, 1.50],
[12.0, 1.75],
[14.0, 2.00],
[16.0, 2.00],
[18.0, 2.50],
[20.0, 2.50],
[22.0, 2.50],
[24.0, 3.00],
[27.0, 3.00],
[30.0, 3.50],
[33.0, 3.50],
[36.0, 4.00],
[39.0, 4.00],
[42.0, 4.50],
[45.0, 4.50],
[48.0, 5.00],
[56.0, 5.50],
[64.0, 6.00]
]);
// Function: get_metric_iso_fine_thread_pitch()
// Description: Returns the ISO metric standard fine threading pitch for a given bolt `size`.
function get_metric_iso_fine_thread_pitch(size) = lookup(size, [
[ 1.6, 0.35],
[ 2.0, 0.40],
[ 2.5, 0.45],
[ 3.0, 0.50],
[ 4.0, 0.70],
[ 5.0, 0.80],
[ 6.0, 1.00],
[ 7.0, 1.00],
[ 8.0, 1.00],
[10.0, 1.25],
[12.0, 1.50],
[14.0, 1.50],
[16.0, 2.00],
[18.0, 2.50],
[20.0, 2.50],
[22.0, 2.50],
[24.0, 3.00],
[27.0, 3.00],
[30.0, 3.50],
[33.0, 3.50],
[36.0, 4.00],
[39.0, 4.00],
[42.0, 4.50],
[45.0, 4.50],
[48.0, 5.00],
[56.0, 5.50],
[64.0, 6.00]
]);
// Function: get_metric_iso_superfine_thread_pitch()
// Description: Returns the ISO metric standard superfine threading pitch for a given bolt `size`.
function get_metric_iso_superfine_thread_pitch(size) = lookup(size, [
[ 1.6, 0.35],
[ 2.0, 0.40],
[ 2.5, 0.45],
[ 3.0, 0.50],
[ 4.0, 0.70],
[ 5.0, 0.80],
[ 6.0, 1.00],
[ 7.0, 1.00],
[ 8.0, 1.00],
[10.0, 1.00],
[12.0, 1.25],
[14.0, 1.50],
[16.0, 2.00],
[18.0, 2.50],
[20.0, 2.50],
[22.0, 2.50],
[24.0, 3.00],
[27.0, 3.00],
[30.0, 3.50],
[33.0, 3.50],
[36.0, 4.00],
[39.0, 4.00],
[42.0, 4.50],
[45.0, 4.50],
[48.0, 5.00],
[56.0, 5.50],
[64.0, 6.00]
]);
// Function: get_metric_jis_thread_pitch()
// Description: Returns the JIS metric standard threading pitch for a given bolt `size`.
function get_metric_jis_thread_pitch(size) = lookup(size, [
[ 2.0, 0.40],
[ 2.5, 0.45],
[ 3.0, 0.50],
[ 4.0, 0.70],
[ 5.0, 0.80],
[ 6.0, 1.00],
[ 7.0, 1.00],
[ 8.0, 1.25],
[10.0, 1.25],
[12.0, 1.25],
[14.0, 1.50],
[16.0, 1.50],
[18.0, 1.50],
[20.0, 1.50]
]);
// Function: get_metric_nut_size()
// Description: Returns the typical metric nut flat-to-flat diameter for a given bolt `size`.
function get_metric_nut_size(size) = lookup(size, [
[ 2.0, 4.0],
[ 2.5, 5.0],
[ 3.0, 5.5],
[ 4.0, 7.0],
[ 5.0, 8.0],
[ 6.0, 10.0],
[ 7.0, 11.0],
[ 8.0, 13.0],
[10.0, 17.0],
[12.0, 19.0],
[14.0, 22.0],
[16.0, 24.0],
[18.0, 27.0],
[20.0, 30.0]
]);
// Function: get_metric_nut_thickness()
// Description: Returns the typical metric nut thickness for a given bolt `size`.
function get_metric_nut_thickness(size) = lookup(size, [
[ 1.6, 1.3],
[ 2.0, 1.6],
[ 2.5, 2.0],
[ 3.0, 2.4],
[ 4.0, 3.2],
[ 5.0, 4.0],
[ 6.0, 5.0],
[ 7.0, 5.5],
[ 8.0, 6.5],
[10.0, 8.0],
[12.0, 10.0],
[14.0, 11.0],
[16.0, 13.0],
[18.0, 15.0],
[20.0, 16.0],
[24.0, 21.5],
[30.0, 25.6],
[36.0, 31.0],
[42.0, 34.0],
[48.0, 38.0],
[56.0, 45.0],
[64.0, 51.0]
]);
// Section: Modules
// Module: screw()
// Description:
// Makes a very simple screw model, useful for making screwholes.
// Usage:
// screw(screwsize, screwlen, headsize, headlen)
// Arguments:
// screwsize = diameter of threaded part of screw.
// screwlen = length of threaded part of screw.
// headsize = diameter of the screw head.
// headlen = length of the screw head.
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
// Extra Anchors:
// "base" = At the base of the head.
// "countersunk" = At the head height that would be just barely exposed when countersunk.
// Examples:
// screw(screwsize=3,screwlen=10,headsize=6,headlen=3, anchor="countersunk");
// screw(screwsize=3,screwlen=10,headsize=6,headlen=3, anchor="base");
// Example(FlatSpin): Standard Anchors
// screw(screwsize=3,screwlen=10,headsize=6,headlen=3)
// show_anchors(5, custom=false);
// Example(FlatSpin): Standard Anchors
// show_internal_anchors()
// screw(screwsize=3,screwlen=10,headsize=6,headlen=3)
// show_anchors(5, std=false);
module screw(
screwsize=3,
screwlen=10,
headsize=6,
headlen=3,
pitch=undef,
anchor="base",
spin=0,
orient=UP
) {
sides = max(12, segs(screwsize/2));
anchors = [
anchorpt("countersunk", [0,0,(headlen+screwlen)/2-0.01]),
anchorpt("base", [0,0,-headlen/2+screwlen/2])
];
attachable(anchor,spin,orient, d=screwsize, l=headlen+screwlen, anchors=anchors) {
down(headlen/2-screwlen/2) {
down(screwlen/2) {
if (pitch == undef) {
cylinder(r=screwsize/2, h=screwlen+0.05, center=true, $fn=sides);
} else {
threaded_rod(d=screwsize, l=screwlen+0.05, pitch=pitch, $fn=sides);
}
}
cylinder(r=headsize/2, h=headlen, center=false, $fn=sides*2);
}
children();
}
}
// Module: metric_bolt()
// Description:
// Makes a standard metric screw model.
// Arguments:
// size = Diameter of threaded part of screw.
// headtype = One of `"hex"`, `"pan"`, `"button"`, `"round"`, `"countersunk"`, `"oval"`, `"socket`". Default: `"socket"`
// l = Length of screw, except for the head.
// shank = Length of unthreaded portion of the shaft.
// pitch = If given, render threads of the given pitch. If 0, then no threads. Overrides coarse argument.
// details = If true model should be rendered with extra details. (Default: false)
// coarse = If true, make coarse threads instead of fine threads. Default = true
// flange = Radius of flange beyond the head. Default = 0 (no flange)
// phillips = If given, the size of the phillips drive hole to add. (ie: "#1", "#2", or "#3")
// torx = If given, the size of the torx drive hole to add. (ie: 10, 20, 30, etc.)
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
// Extra Anchors:
// "base" = At the base of the head.
// "countersunk" = At the head height that would be just barely exposed when countersunk.
// "shank" = At the bottom start of the unthreaded shank.
// Example: Bolt Head Types
// ydistribute(40) {
// xdistribute(30) {
// // Front Row, Left to Right
// metric_bolt(headtype="pan", size=10, l=15, details=true, phillips="#2");
// metric_bolt(headtype="button", size=10, l=15, details=true, phillips="#2");
// metric_bolt(headtype="round", size=10, l=15, details=true, phillips="#2");
// }
// xdistribute(30) {
// // Back Row, Left to Right
// metric_bolt(headtype="socket", size=10, l=15, details=true);
// metric_bolt(headtype="hex", size=10, l=15, details=true, phillips="#2");
// metric_bolt(headtype="countersunk", size=10, l=15, details=true, phillips="#2");
// metric_bolt(headtype="oval", size=10, l=15, details=true, phillips="#2");
// }
// }
// Example: Details
// metric_bolt(size=10, l=15, details=true, $fn=32);
// Example: No Details Except Threads
// metric_bolt(size=10, l=15);
// Example: No Details, No Threads
// metric_bolt(size=10, l=15, pitch=0);
// Example: Fine Threads
// metric_bolt(size=10, l=15, coarse=false);
// Example: Flange
// metric_bolt(size=10, l=15, flange=5);
// Example: Shank
// metric_bolt(size=10, l=25, shank=10);
// Example: Hex Head with Phillips
// metric_bolt(headtype="hex", size=10, l=15, phillips="#2");
// Example: Hex Head with Torx
// metric_bolt(headtype="hex", size=10, l=15, torx=50);
// Example(FlatSpin): Standard Anchors
// metric_bolt(headtype="oval", size=10, l=15, shank=5, details=true, phillips="#2")
// show_anchors(5, custom=false);
// Example(FlatSpin): Custom Anchors
// show_internal_anchors(0.125)
// metric_bolt(headtype="oval", size=10, l=15, shank=5, details=true, phillips="#2")
// show_anchors(5, std=false);
module metric_bolt(
headtype="socket",
size=3,
l=12,
shank=0,
pitch=undef,
details=false,
coarse=true,
phillips=undef,
torx=undef,
flange=0,
anchor="base",
spin=0,
orient=UP
) {
D = headtype != "hex"?
get_metric_socket_cap_diam(size) :
get_metric_bolt_head_size(size);
H = headtype == "socket"?
get_metric_socket_cap_height(size) :
get_metric_bolt_head_height(size);
P = coarse?
(pitch==undef? get_metric_iso_coarse_thread_pitch(size) : pitch) :
(pitch==undef? get_metric_iso_fine_thread_pitch(size) : pitch);
tlen = l - min(l, shank);
sides = max(12, segs(size/2));
tcirc = D/cos(30);
bevtop = (tcirc-D)/2;
bevbot = P/2;
headlen = (
(headtype == "pan" || headtype == "round" || headtype == "button")? H*0.75 :
(headtype == "countersunk")? (D-size)/2 :
(headtype == "oval")? ((D-size)/2 + D/2/3) :
H
);
base = l/2 - headlen/2;
sunklen = (
(headtype == "oval")? (D-size)/2 :
headlen-0.001
);
anchors = [
anchorpt("countersunk", [0,0,base+sunklen]),
anchorpt("base", [0,0,base]),
anchorpt("shank", [0,0,base-shank])
];
//color("silver")
attachable(anchor,spin,orient, d=size, l=headlen+l, anchors=anchors) {
up(base) {
difference() {
union() {
// Head
if (headtype == "hex") {
difference() {
cylinder(d=tcirc, h=H, $fn=6);
// Bevel hex nut top
if (details) {
up(H-bevtop) {
difference() {
cube([tcirc+1, tcirc+1, bevtop+0.5], anchor=BOTTOM);
down(0.01) cylinder(d1=tcirc, d2=tcirc-bevtop*2, h=bevtop+0.02, center=false);
}
}
}
}
} else if (headtype == "socket") {
sockw = get_metric_socket_cap_socket_size(size);
sockd = get_metric_socket_cap_socket_depth(size);
difference() {
cylinder(d=D, h=H);
up(H-sockd) cylinder(h=sockd+0.1, d=sockw/cos(30), $fn=6);
if (details) {
kcnt = 36;
zrot_copies(n=kcnt, r=D/2) up(H/3) cube([PI*D/kcnt/2, PI*D/kcnt/2, H], anchor=BOTTOM);
}
}
} else if (headtype == "pan") {
cyl(l=H*0.75, d=D, rounding2=H*0.75/2, anchor=DOWN);
} else if (headtype == "round") {
top_half(D) zscale(H*0.75/D*2) sphere(d=D);
} else if (headtype == "button") {
up(H*0.75/3) top_half(D) zscale(H*0.75*2/3/D*2) sphere(d=D);
cylinder(d=D, h=H*0.75/3+0.01, center=false);
} else if (headtype == "countersunk") {
cylinder(h=(D-size)/2, d1=size, d2=D);
} else if (headtype == "oval") {
up((D-size)/2) top_half(D) zscale(0.333) sphere(d=D);
cylinder(h=(D-size)/2, d1=size, d2=D);
}
// Flange
if (flange>0) {
up(headtype == "countersunk" || headtype == "oval"? (D-size)/2 : 0) {
cylinder(d=D+flange, h=H/8, center=false);
up(H/8) cylinder(d1=D+flange, d2=D, h=H/8, center=false);
}
}
// Unthreaded Shank
if (tlen < l) {
down(l-tlen) cylinder(d=size, h=l-tlen+0.05, center=false, $fn=sides);
}
// Threads
down(l) {
difference() {
up(tlen/2+0.05) {
if (tlen > 0) {
if (P > 0) {
threaded_rod(d=size, l=tlen+0.05, pitch=P, $fn=sides);
} else {
cylinder(d=size, h=tlen+0.05, $fn=sides, center=true);
}
}
}
// Bevel bottom end of threads
if (details) {
difference() {
down(0.5) cube([size+1, size+1, bevbot+0.5], anchor=BOTTOM);
cylinder(d1=size-bevbot*2, d2=size, h=bevbot+0.01, center=false);
}
}
}
}
}
// Phillips drive hole
if (headtype != "socket" && phillips != undef) {
down(headtype != "hex"? H/6 : 0) {
phillips_drive(size=phillips, shaft=D);
}
}
// Torx drive hole
if (headtype != "socket" && torx != undef) {
up(1) torx_drive(size=torx, l=H+0.1, center=false);
}
}
}
children();
}
}
// Module: metric_nut()
// Description:
// Makes a model of a standard nut for a standard metric screw.
// Arguments:
// size = standard metric screw size in mm. (Default: 3)
// hole = include the hole in the nut. (Default: true)
// pitch = pitch of threads in the hole. No threads if not given.
// flange = radius of flange beyond the head. Default = 0 (no flange)
// details = true if model should be rendered with extra details. (Default: false)
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#spin). Default: `0`
// orient = Vector to rotate top towards, after spin. See [orient](attachments.scad#orient). Default: `UP`
// center = If true, centers the nut at the origin. If false, sits on top of XY plane. Overrides `anchor` if given.
// Example: No details, No Hole. Useful for a mask.
// metric_nut(size=10, hole=false);
// Example: Hole, with No Threads
// metric_nut(size=10, hole=true);
// Example: Threads
// metric_nut(size=10, hole=true, pitch=1.5);
// Example: Details
// metric_nut(size=10, hole=true, pitch=1.5, details=true);
// Example: Centered
// metric_nut(size=10, hole=true, pitch=1.5, details=true, center=true);
// Example: Flange
// metric_nut(size=10, hole=true, pitch=1.5, flange=3, details=true);
module metric_nut(
size=3,
hole=true,
pitch=undef,
details=false,
flange=0,
center,
anchor,
spin=0,
orient=UP
) {
H = get_metric_nut_thickness(size);
D = get_metric_nut_size(size);
boltfn = max(12, segs(size/2));
nutfn = max(12, segs(D/2));
dcirc = D/cos(30);
bevtop = (dcirc - D)/2;
//color("silver")
anchor = get_anchor(anchor,center,BOT,CENTER);
attachable(anchor,spin,orient, d=dcirc+flange, l=H) {
difference() {
union() {
difference() {
cylinder(d=dcirc, h=H, center=true, $fn=6);
if (details) {
up(H/2-bevtop) {
difference() {
cube([dcirc+1, dcirc+1, bevtop+0.5], anchor=BOTTOM);
down(0.01) cylinder(d1=dcirc, d2=dcirc-bevtop*2, h=bevtop+0.02, center=false, $fn=nutfn);
}
}
if (flange == 0) {
down(H/2) {
difference() {
down(0.5) cube([dcirc+1, dcirc+1, bevtop+0.5], anchor=BOTTOM);
down(0.01) cylinder(d1=dcirc-bevtop*2, d2=dcirc, h=bevtop+0.02, center=false, $fn=nutfn);
}
}
}
}
}
if (flange>0) {
down(H/2) {
cylinder(d=D+flange, h=H/8, center=false);
up(H/8) cylinder(d1=D+flange, d2=D, h=H/8, center=false);
}
}
}
if (hole == true) {
if (pitch == undef) {
cylinder(r=size/2, h=H+0.5, center=true, $fn=boltfn);
} else {
threaded_rod(d=size, l=H+0.5, pitch=pitch, $fn=boltfn);
}
}
}
children();
}
}
// vim: noexpandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
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