// ch11_ex1_vang.cpp : Solves support forces for a beam.
// Created/revised by Sebastian Vang on 11/22/17.

#include "stdafx.h"
#include <iostream>
#include <iomanip>
#include <cmath>

using namespace std;

int main()
{

	// variables
	double gravity = 9.807;
	double Fg = 608.034;
	double answer = 0.0;

	// array for mass
	double mass[10] = {100, 200, 300, 500, 800, 1300, 2100, 3400, 5500, 8900};

	// function prototypes
	void getFm(double mass, double &Fm);
	void getTx(double Fm, double &Tx);
	void getTy(double Tx, double &Ty);
	void getAy(double Fm, double Ty, double &Ay);
	void getT(double Tx, double Ty, double &T);
	void getCableDiameter(double T, double &cd);
	void getPinDiameter(double Ax, double Ay, double &pd);

	// counts from 0~10 for the mass
		for (int i = 0; i < 10; i++)
		{
			// displays mass in kg
			cout << fixed << setprecision(0);
			cout << "Mass: " << mass[i] << "kg" << endl;

			// force applied to the beam
			getFm(mass[i], answer);

			//cout << "Fm: " << answer << "N↓" << endl;
			double Fm = answer;

			// function calls
			getTx(Fm, answer);
			cout << "Tx: " << answer << "N←" << endl;
			double Tx = answer;
			double Ax = Tx;
			cout << "Ax: " << Tx << "N→" << endl;

			getTy(Tx, answer);
			cout << "Ty: " << answer << "N↑" << endl;
			double Ty = answer;

			getAy(Fm, Ty, answer);
			cout << "Ay: " << answer << "N↑" << endl;
			double Ay = answer;

			getT(Tx, Ty, answer);
			cout << "T: " << answer << "N" << endl;
			double T = answer;

			// diameter of the cable
			getCableDiameter(T, answer);
			cout << fixed << setprecision(1);
			cout << "Cable Diameter: " << answer << "mm" << endl;

			// diameter of the pin
			getPinDiameter(Ax, Ay, answer);
			cout << "Pin Diameter: " << answer << "mm" << endl;

			cout << endl;
		}
    return 0;
} // end of main function

// function definitions

void getFm(double mass, double &Fm)
{
	Fm = mass * 9.807;
} // end of getFm

void getTx(double Fm, double &Tx)
{
	double Fg = 608.034;
	Tx = (8.796 * Fg + 11.856 * Fm) / 8.4;
} // end of getFg

void getTy(double Tx, double &Ty)
{
	Ty = Tx * tan(0.575347788);
} // end of getTy

void getAy(double Fm, double Ty, double &Ay)
{
	double Fg = 608.034;
	Ay = Fg + Fm - Ty;
} // end of getAy

void getT(double Tx, double Ty, double &T)
{
	T = sqrt(pow(Tx, 2) + pow(Ty, 2));
} // end of getT

void getCableDiameter(double T, double &cd)
{
	double L = 10.484;
	double delta = 0.000125;
	double E = 190 * pow(10,9);
	const double PI = 3.14159;
	cd = sqrt((4 * T * L) / (PI * delta * E)) * 1000;
} // end of getCableDiameter

void getPinDiameter(double Ax, double Ay, double &pd)
{
	const double PI = 3.14159;
	double O = (240 * pow(10, 6)) / 2;
	double Ar = sqrt(pow(Ax, 2) + pow(Ay, 2));
	pd = sqrt((4 * Ar) / (PI * O)) * 1000;
} // end of getPinDiameter