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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 14: KEYS AND COUPLINGS"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.1: KC1.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 14-1\n",
+"clc;\n",
+"clear;\n",
+"d=40;\n",
+"r=d/2;\n",
+"P=6*10^3;\n",
+"N=350;\n",
+"sigyt=380;\n",
+"A=%pi*12^2/2;\n",
+"theta=%pi-(2*atan(4/12));\n",
+"alpha=180-(theta*%pi/180);\n",
+"l=2*12*cosd(19.5);\n",
+"A1=l*4/2;\n",
+"Abcd=(A*141/180)-A1;\n",
+"A2=A-Abcd;\n",
+"A3=8*l;\n",
+"w=2*%pi*N/60;\n",
+"T=P/w;\n",
+"Pt=T*10^3/r;\n",
+"sigb=Pt/A2;\n",
+"//Let shear stress developed in key Tk\n",
+"Tk=Pt/A3;\n",
+"FOS1=sigyt/sigb;\n",
+"FOS2=0.577*sigyt/Tk;\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('FOS1 is %0.3f ',FOS1);\n",
+" printf('\n FOS2 is %0.2f ',FOS2);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.2: KC2.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 14-2\n",
+"clc;\n",
+"clear;\n",
+"n=12;\n",
+"phi=360*%pi/(180*12*2);\n",
+"R1=45/2;\n",
+"R2=50/2;\n",
+"l=60;\n",
+"Rm=(R1+R2)/2;\n",
+"p=6.5;\n",
+"Pn=(R2-R1)*l*p;\n",
+"T=Pn*Rm;\n",
+"T=T*n;\n",
+"N=400;\n",
+"w=2*%pi*N/60;\n",
+"P=T*w;\n",
+"A=(%pi*R1*l)/n;\n",
+"Ts=Pn/A;\n",
+"Ah=(%pi*R2*l)/n;\n",
+"Th=Pn/Ah;\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('Ts is %0.2f N/mm^2 ',Ts);\n",
+" printf('\n Th is %0.2f N/mm^2 ',Th);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.3: KC3.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 14-3\n",
+"clc;\n",
+"clear;\n",
+"N=360;\n",
+"w=2*%pi*N/60;\n",
+"sigyt=380;\n",
+"r=25;\n",
+"P=40*10^3;\n",
+"FOS=3;\n",
+"T=P/w;\n",
+"Pt=T*10^3/(2*r);\n",
+"siga=380/3;\n",
+"Ta=0.577*380/3;\n",
+"l1=Pt/(sqrt(2)*12*Ta);\n",
+"l2=Pt*sqrt(2)/(siga*12);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('l1 is %0.0f mm ',l1);\n",
+" printf('\n l2 is %0.2f mm ',l2);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.4: KC4.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 14-4\n",
+"clc;\n",
+"clear;\n",
+"N=300;\n",
+"w=2*%pi*N/60;\n",
+"P=12*10^3;\n",
+"Ks=1.25;\n",
+"Pd=P*Ks;\n",
+"T=Pd/w;\n",
+"Tas=50;\n",
+"d=16*T*10^3/(%pi*Tas);\n",
+"d=d^(1/3);\n",
+"d=40;\n",
+"Ts=10;\n",
+"d1=(2*d)+13;\n",
+"x=(d1^4-d^4)/d1;\n",
+"//Let the shear stress in the key be Tsh\n",
+"Tsh=T*10^3*16/(%pi*x);\n",
+"l=3.5*d;\n",
+"Ft=T*2*10^3/d;\n",
+"l1=70;\n",
+"sigak=50;\n",
+"b=Ft/(l1*sigak);\n",
+"t=2*Ft/(100*l1);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('d is %0.0f mm ',d);\n",
+" printf('\n Tsh is %0.2f MPa ',Tsh);\n",
+" printf('\n b is %0.0f mm ',b);\n",
+" printf('\n t is %0.0f mm ',t);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.5: KC5.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 14-5\n",
+"clc;\n",
+"clear;\n",
+"P=36*10^3;\n",
+"N=200;\n",
+"w=2*%pi*N/60;\n",
+"T=P/w;\n",
+"Tas=45;\n",
+"d=16*T*10^3/(%pi*Tas);\n",
+"d=d^(1/3);\n",
+"d=60;\n",
+"d1=(2*d)+13;\n",
+"l=3.5*d;\n",
+"Ftk=T*2/d;\n",
+"lk=l/2;\n",
+"Tak=40;\n",
+"sigack=90;\n",
+"b=Ftk*10^3/(lk*Tak);\n",
+"t=2*Ftk*10^3/(sigack*lk);\n",
+"n=4;\n",
+"sigatb=60;\n",
+"u=0.25;\n",
+"dr=16*T*10^3/(u*%pi^2*sigatb*n*d);\n",
+"dr=sqrt(dr);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('d is %0.0f mm ',d);\n",
+" printf('\n b is %0.1f mm ',b);\n",
+" printf('\n t is %0.0f mm ',t);\n",
+" printf('\n dr is %0.3f mm ',dr);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.6: KC6.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 14-5\n",
+"clc;\n",
+"clear;\n",
+"P=16*10^3;\n",
+"N=1000;\n",
+"w=2*%pi*N/60;\n",
+"T=P/w;\n",
+"Ks=1.4;\n",
+"Td=T*Ks;\n",
+"Tas=40;\n",
+"d=16*T*10^3/(%pi*Tas);\n",
+"d=d^(1/3);\n",
+"d=32;\n",
+"d1=2*d;\n",
+"l=1.5*d;\n",
+"ds=1.5*d;\n",
+"Tak=40;\n",
+"sigack=70;\n",
+"Ftk=Td*2/d;\n",
+"b=Ftk*10^3/(l*Tak);\n",
+"t=2*Ftk*10^3/(sigack*l);\n",
+"Taf=10;\n",
+"tf=Td*10^3*2/(%pi*Taf*d1^2);\n",
+"Ftb=Td*10^3/(1.5*d*4);\n",
+"Tab=40;\n",
+"db=sqrt(Ftb*4/(Tab*%pi));\n",
+"D=4*d;\n",
+"trp=d/6;\n",
+"Ftb1=Td*10^3/(45*4);\n",
+"db1=sqrt(Ftb1*4/(Tab*%pi));\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('d is %0.0f mm ',d);\n",
+" printf('\n b is %0.0f mm ',b);\n",
+" printf('\n t is %0.0f mm ',t);\n",
+" printf('\n db is %0.2f mm ',db);\n",
+" printf('\n db1 is %0.2f mm ',db1);\n",
+" \n",
+" //The answer to Key thickness 't' is calculated incorrectly in the book."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.7: KC7.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 14-5\n",
+"clc;\n",
+"clear;\n",
+"P=30*10^3;\n",
+"N=1440;\n",
+"w=2*%pi*N/60;\n",
+"T=P/w;\n",
+"d=36;\n",
+"d1=30;\n",
+"d2=2*d;\n",
+"d3=d1*2;\n",
+"l=1.5*d;\n",
+"Dp=3.5*d;\n",
+"n=6;\n",
+"Ft=(2*T)/(Dp*n);\n",
+"p=0.5;\n",
+"A=Ft/p;\n",
+"Lf=d;\n",
+"dp=A/Lf;\n",
+"M=Ft*10^3*(5+(Lf/2));\n",
+"db=(32*M/(%pi*40))^(1/3);\n",
+"db=15;\n",
+"T=(4*526)/(%pi*db^2);\n",
+"sigb=32*M/(%pi*db^3);\n",
+"sigmax=(sigb/2)+sqrt(((sigb/2)^2)+(T^2));\n",
+"b=d/4;\n",
+"t=6;\n",
+"Lf=36;\n",
+"La=10;\n",
+"Do=126+30+(2*(5+1))+(2*6);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('sigmax is %0.2f MPa ',sigmax);\n",
+" printf('\n b is %0.0f mm ',b);\n",
+" printf('\n t is %0.0f mm ',t);\n",
+" printf('\n Lf is %0.0f mm ',Lf);\n",
+" printf('\n Do is %0.0f mm ',Do);"
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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