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@ -2,15 +2,15 @@ use fea::two_d::beam_elements::*;
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use fea::two_d::*;
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fn main() {
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let student_id_last_digit = 9 as f32;
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let student_id_last_digit = 9_f32;
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let d = student_id_last_digit / 100.0;
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let r = d/2.0;
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let r = d / 2.0;
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let e = 210e9;
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let p = (25.0 - student_id_last_digit)*1000.0;
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let p = (25.0 - student_id_last_digit) * 1000.0;
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let theta = 30.0_f32.to_radians();
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let l = 2.0/theta.cos();
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let l = 2.0 / theta.cos();
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let p1 = Point{
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let p1 = Point {
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id: 1,
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pos: Vector(0.0, 0.0),
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bc: BoundaryCondition::Fixed,
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@ -24,7 +24,7 @@ fn main() {
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beams: vec![],
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};
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let l_e3 = 2.0/theta.sin();
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let l_e3 = 2.0 / theta.sin();
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println!("l_e3 {l_e3}");
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let p3 = Point {
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@ -38,32 +38,47 @@ fn main() {
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id: 4,
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pos: Vector(l * theta.cos(), l * theta.sin()),
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bc: BoundaryCondition::Force(Vector::from_mag_angle(p, 45_f32.to_radians())),
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beams: vec![]
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beams: vec![],
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};
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let mut w = World::from(vec![p1, p2, p3, p4]);
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w.link(1,4, NewBeam {
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cross_section: CrossSection::Circular(r),
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material: fea::Material {
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yield_stress: 95e6,
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youngs_modulus: e,
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}
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}).unwrap();
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w.link(2,4, NewBeam {
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cross_section: CrossSection::Circular(r),
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material: fea::Material {
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yield_stress: 95e6,
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youngs_modulus: e,
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}
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}).unwrap();
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w.link(3,4, NewBeam {
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cross_section: CrossSection::Circular(r),
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material: fea::Material {
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yield_stress: 95e6,
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youngs_modulus: e,
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}
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}).unwrap();
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w.link(
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1,
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4,
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NewBeam {
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cross_section: CrossSection::Circular(r),
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material: fea::Material {
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yield_stress: 95e6,
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youngs_modulus: e,
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},
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},
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)
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.unwrap();
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w.link(
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2,
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4,
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NewBeam {
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cross_section: CrossSection::Circular(r),
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material: fea::Material {
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yield_stress: 95e6,
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youngs_modulus: e,
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},
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},
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)
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.unwrap();
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w.link(
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3,
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4,
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NewBeam {
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cross_section: CrossSection::Circular(r),
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material: fea::Material {
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yield_stress: 95e6,
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youngs_modulus: e,
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},
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},
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)
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.unwrap();
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println!("{:?}", w);
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println!("{:?}", w.stiffness_matrix().unwrap());
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14
src/two_d.rs
14
src/two_d.rs
@ -1,14 +1,4 @@
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pub mod beam_elements;
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pub mod vector;
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#[derive(Debug)]
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pub struct Vector(pub f32, pub f32);
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impl Vector {
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pub fn distance(&self, other: &Self) -> f32 {
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((self.0 - other.0).powi(2) + (self.1 - other.1).powi(2)).sqrt()
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}
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pub fn from_mag_angle(magnitude: f32, angle: f32) -> Self {
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Self (magnitude * angle.cos(), magnitude * angle.sin())
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}
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}
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pub use vector::*;
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@ -1,25 +1,11 @@
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mod beam;
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mod boundary_condition;
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mod cross_section;
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mod point;
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mod world;
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pub use beam::*;
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pub use boundary_condition::*;
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pub use cross_section::*;
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pub use point::*;
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pub use world::*;
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use super::Vector;
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use crate::Material;
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#[derive(Debug)]
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pub struct Point {
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pub id: usize,
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pub pos: Vector,
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pub bc: BoundaryCondition,
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pub beams: Vec<usize>,
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}
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#[derive(Debug)]
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pub enum BoundaryCondition {
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Free,
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Fixed,
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Force(Vector),
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}
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@ -1,7 +1,8 @@
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use super::*;
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use crate::Material;
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#[derive(Debug)]
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pub struct Beam{
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pub struct Beam {
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pub id: usize,
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pub points: (usize, usize),
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pub material: Material,
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@ -15,14 +16,12 @@ pub struct NewBeam {
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impl Beam {
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pub fn new(p1: usize, p2: usize, props: NewBeam) -> Beam {
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let b = Beam {
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Beam {
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id: 0,
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points: (p1, p2),
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material: props.material,
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cross_section: props.cross_section,
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};
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return b;
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}
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}
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fn get_points<'a>(&self, world: &'a World) -> (&'a Point, &'a Point) {
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@ -33,21 +32,12 @@ impl Beam {
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}
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pub fn stiffness(&self, world: &World) -> f32 {
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let s = self.cross_section.area() * self.material.youngs_modulus / self.length(world);
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println!("{:?} {}", self, s);
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s
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self.cross_section.area() * self.material.youngs_modulus / self.length(world)
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}
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pub fn length(&self, world: &World) -> f32 {
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let (p1, p2) = self.get_points(world);
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let l = p1.pos.distance(&p2.pos);
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println!("{:?} {}", self, l);
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l
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p1.pos.distance(&p2.pos)
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}
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pub fn angle(&self, world: &World) -> f32 {
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@ -55,14 +45,14 @@ impl Beam {
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let dx = p1.pos.0 - p2.pos.0;
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let dy = p1.pos.1 - p2.pos.1;
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(dy/dx).atan()
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(dy / dx).atan()
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}
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pub fn other_point(&self, p: usize) -> usize {
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if p == self.points.0{
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return self.points.1;
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if p == self.points.0 {
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self.points.1
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} else {
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return self.points.0;
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self.points.0
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}
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}
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}
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8
src/two_d/beam_elements/boundary_condition.rs
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8
src/two_d/beam_elements/boundary_condition.rs
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@ -0,0 +1,8 @@
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use crate::two_d::Vector;
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#[derive(Debug)]
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pub enum BoundaryCondition {
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Free,
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Fixed,
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Force(Vector),
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}
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10
src/two_d/beam_elements/point.rs
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10
src/two_d/beam_elements/point.rs
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@ -0,0 +1,10 @@
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use super::super::Vector;
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use super::BoundaryCondition;
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#[derive(Debug)]
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pub struct Point {
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pub id: usize,
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pub pos: Vector,
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pub bc: BoundaryCondition,
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pub beams: Vec<usize>,
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}
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let beam = self.beams.get(beam_id).unwrap();
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let stiffness = beam.stiffness(self);
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let other_point = self.points.get(&beam.other_point(point.id)).unwrap();
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let ax = 2*(point.id-1);
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let ax = 2 * (point.id - 1);
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let ay = ax + 1;
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let bx = 2*(other_point.id-1);
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let bx = 2 * (other_point.id - 1);
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let by = bx + 1;
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let angle = beam.angle(self);
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println!("point: {} to point {} beam: {} beam_angle: {}", _point_id, other_point.id, beam.id, beam.angle(self).to_degrees());
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println!(
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"point: {} to point {} beam: {} beam_angle: {}",
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_point_id,
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other_point.id,
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beam.id,
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beam.angle(self).to_degrees()
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);
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let c2 = angle.cos().powi(2);
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let s2 = angle.sin().powi(2);
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let cs = angle.cos() * angle.sin();
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// F_AX += K_AB * c2 * (U_AX)
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a[ax*dof + ax] += stiffness * c2;
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a[ax * dof + ax] += stiffness * c2;
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// F_AX += K_AB * cs * U_AY
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a[ax*dof + ay] += stiffness * cs;
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a[ax * dof + ay] += stiffness * cs;
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// F_AY += K_AB * cs * U_AX
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a[ay*dof + ax] += stiffness * cs;
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a[ay * dof + ax] += stiffness * cs;
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// F_AY += K_AB * s^2 * U_AY
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a[ay*dof + ay] += stiffness * s2;
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a[ay * dof + ay] += stiffness * s2;
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// F_AX += K_AB -c^2 U_BX
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a[ax*dof + bx] += stiffness * -c2;
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a[ax * dof + bx] += stiffness * -c2;
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// F_AX += K_AB -cs U_BY
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a[ax*dof + by] += stiffness * -cs;
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a[ax * dof + by] += stiffness * -cs;
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// F_AY += K_AB -cs U_BX
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a[ay*dof + bx] += stiffness * -cs;
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a[ay * dof + bx] += stiffness * -cs;
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// F_AY += K_AB -s^2 U_BY
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a[ay*dof + by] += stiffness * -s2;
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a[ay * dof + by] += stiffness * -s2;
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}
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}
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@ -56,7 +62,7 @@ impl World {
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}
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}
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pub fn link(&mut self, id1: usize, id2: usize, new_beam: NewBeam) -> Result<(), &str>{
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pub fn link(&mut self, id1: usize, id2: usize, new_beam: NewBeam) -> Result<(), &str> {
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let b_id = self.beams.len();
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let p1 = match self.points.get_mut(&id1) {
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Some(point) => point,
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@ -86,7 +92,10 @@ impl From<Vec<Point>> for World {
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/// If this is not the case, then some points will be overriden.
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fn from(points: Vec<Point>) -> World {
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let mut points = points;
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let mut w = World { points: HashMap::new(), beams: HashMap::new() };
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let mut w = World {
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points: HashMap::new(),
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beams: HashMap::new(),
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};
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while let Some(point) = points.pop() {
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w.points.insert(point.id, point);
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12
src/two_d/vector.rs
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12
src/two_d/vector.rs
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@ -0,0 +1,12 @@
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#[derive(Debug)]
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pub struct Vector(pub f32, pub f32);
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impl Vector {
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pub fn distance(&self, other: &Self) -> f32 {
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((self.0 - other.0).powi(2) + (self.1 - other.1).powi(2)).sqrt()
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}
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pub fn from_mag_angle(magnitude: f32, angle: f32) -> Self {
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Self(magnitude * angle.cos(), magnitude * angle.sin())
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}
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}
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