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+{
+"cells": [
+ {
+		   "cell_type": "markdown",
+	   "metadata": {},
+	   "source": [
+       "# Chapter 23: BRAKES"
+	   ]
+	},
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 23.1: B23_1.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 23-1\n",
+"clc;\n",
+"clear;\n",
+"W=20e3;\n",
+"m=W/9.81;\n",
+"//diameter of brake drum\n",
+"Db=0.6;\n",
+"p=1;\n",
+"Vi=1;\n",
+"Vf=0;\n",
+"D=1;\n",
+"R=0.5;\n",
+"wi=Vi/R;\n",
+"wf=0;\n",
+"w=1;\n",
+"Vav=0.5;\n",
+"S=2;\n",
+"t=S/Vav;\n",
+"//angle turned by by hoist drum=theta\n",
+"theta=0.5*wi*t;\n",
+"K.E=0.5*m*Vi^2;\n",
+"P.E=2*W;\n",
+"T.E=K.E+P.E;\n",
+"T=T.E/theta;\n",
+"P=wi*T*10^-3;\n",
+"Rb=Db/2;\n",
+"Ft=0.5*T*p/Rb;\n",
+"u=0.35;\n",
+"N=Ft/u;\n",
+"//contact area of brake lining=A\n",
+"A=N/p;\n",
+"b=0.3*Db;\n",
+"L=A*10^-6/(b);\n",
+"//angle subtended at brake drum centre=theta2\n",
+"theta2=2*(asin(L/Db));\n",
+"theta2=theta2*180/%pi; // converting radian to degree\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('T is %0.1f Nm ',T);\n",
+"  printf('\n P is %0.4f kW ',P);\n",
+"  printf('\n b is %0.2f m ',b);\n",
+"  printf('\n L is %0.3f m ',L);\n",
+"  printf('\n theta2 is %0.0f deg ',theta2);\n",
+" \n",
+"\n",
+"\n",
+""
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 23.2: B23_2.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 23-2\n",
+"clc;\n",
+"clear;\n",
+"b=80;\n",
+"t=2;\n",
+"theta=225*%pi/180;\n",
+"u=0.22;\n",
+"//F1/F2=e^(u*theta)\n",
+"//let F1/F2=x;\n",
+"x=exp(u*theta);\n",
+"//maximum tensile stress in steel tape is siga\n",
+"siga=60;\n",
+"A=b*t;\n",
+"F1=siga*A;\n",
+"F2=F1/x;\n",
+"r=0.2;\n",
+"T=(F1-F2)*r;\n",
+"OA=30;\n",
+"OB=100;\n",
+"OC=350;\n",
+"P=((F2*OB)+(F1*OA))/OC;\n",
+"OA=F2*OB/F1;\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('F1 is %0.0f N ',F1);\n",
+"  printf('\n F2 is %0.1f N ',F2);\n",
+"  printf('\n T is %0.2f Nm ',T);\n",
+"  printf('\n OA is %0.2f mm ',OA);\n",
+"  "
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 23.3: B23_3.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 23-3\n",
+"clc;\n",
+"clear;\n",
+"theta=%pi/3;\n",
+"r=160;\n",
+"u=0.3;\n",
+"pmax=0.9;\n",
+"b=40;\n",
+"R=(4*r*sin(theta))/((2*theta)+sin(2*theta));\n",
+"//frictional torque is T\n",
+"T=2*u*pmax*b*(r^2)*sin(theta);\n",
+"T=2*T*10^-3;\n",
+"Rx=0.5*pmax*b*r*((2*theta)+(sin(2*theta)))*10^-3;\n",
+"Ry=u*Rx;\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('T is %0.2f Nmm ',T);\n",
+"  printf('\n R is %0.3f mm ',R);\n",
+"  printf('\n Rx is %0.3f kN ',Rx);\n",
+"  printf('\n Ry is %0.2f kN ',Ry);"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 23.4: B23_4.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 23-4\n",
+"clc;\n",
+"clear;\n",
+"d=320;\n",
+"r=d/2;\n",
+"b=50;\n",
+"u=0.3;\n",
+"pmax=1;\n",
+"c=115*2;\n",
+"// From to fig. 23-9, distance OA=R is calculated.\n",
+"R=sqrt(115^2+66.4^2);\n",
+"C=115*2;\n",
+"theta1=0;\n",
+"theta2=120*%pi/180;\n",
+"theta0=120*%pi/180;\n",
+"thetamax=%pi/2;\n",
+"Tr=u*pmax*b*r^2*(cos(theta1)-cos(theta2))/sin(thetamax)*10^-3;\n",
+"//the notation 'r' is used for moments of right hand shoe, similarly 'l' for the left shoe.\n",
+"Mfr=u*pmax*b*r*(4*r*(cos(theta1)-cos(theta2))+(R*(cos(2*theta1)-cos(2*theta2))))/(4*sin(thetamax))*10^-3;\n",
+"Mpr=pmax*b*r*R*((2*theta0)-(sin(2*theta2)-(sin(theta1))))/(4*sin(thetamax))*10^-3;\n",
+"F=(Mpr-Mfr)/c*10^3;\n",
+"//Mpl+Mfl=F*c;\n",
+"x=F*c*10^-3;\n",
+"y=(Mpr/pmax)+(Mfr/pmax);\n",
+"pmax2=x/y;\n",
+"Tl=pmax2*Tr;\n",
+"Mpl=pmax2*Mpr;\n",
+"Mfl=pmax2*Mfr;\n",
+"T=Tl+Tr;\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('Tr is %0.0f Nm ',Tr);\n",
+"  printf('\n Mf is %0.2f Nm ',Mfr);\n",
+"  printf('\n Mp is %0.2f Nm ',Mpr);\n",
+"  printf('\n Tl is %0.1f Nm ',Tl); \n",
+"  printf('\n Mfl is %0.2f Nm ',Mfl);\n",
+"  printf('\n Mpl is %0.2f Nm ',Mpl);\n",
+"  printf('\n F is %0.1f N ',F);\n",
+"  printf('\n T is %0.1f Nm ',T);\n",
+"  \n",
+"  //The difference in the answers are due to rounding-off of values.\n",
+"  \n",
+"  "
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 23.5: B23_5.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 23-5\n",
+"clc;\n",
+"clear;\n",
+"m=1100;\n",
+"V=65*5/18;\n",
+"t=4;\n",
+"r=0.22;\n",
+"mb=12;\n",
+"C=460;\n",
+"S=0.5*V*t;\n",
+"//Total kinetic energy TE=K.E(vehicle)+K.E(rotating parts).\n",
+"TE=((0.5*m*(V^2))+(0.1*0.5*m*(V^2)));\n",
+"E=TE/4;\n",
+"w=V/r;\n",
+"theta=S/r;\n",
+"T=E/theta;\n",
+"delT=E/(mb*C);\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('S is %0.2f m ',S);\n",
+"  printf('\n E is %0.2f Nm ',E);\n",
+"  printf('\n T is %0.2f Nm ',T);\n",
+"  printf('\n delT is %0.2f ',delT);\n",
+"  \n",
+"//The difference in the answers are due to rounding-off of values."
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 23.6: B23_6.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 23-6\n",
+"clc;\n",
+"clear;\n",
+"T=35000;\n",
+"u=0.4;\n",
+"p=0.7;\n",
+"r=200;\n",
+"N=T/(u*r)\n",
+"b=sqrt(N/p);\n",
+"l=b;\n",
+"//2theta = theta2\n",
+"theta2=2*asin(l/(2*r));\n",
+"F=u*N;\n",
+"P=((250*N)-(u*N*80))/550;\n",
+"Ry=N-P;\n",
+"Rx=u*N;\n",
+"R=sqrt(Rx^2+Ry^2);\n",
+"w=2*%pi*100/60;\n",
+"// Rate of heat generated is Q\n",
+"Q=u*N*w*r/1000;\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('N is %0.1f N ',N);\n",
+"  printf('\n b is %0.0f mm ',b);\n",
+"  printf('\n P is %0.1f N ',P);\n",
+"  printf('\n R is %0.2f N ',R);\n",
+"  printf('\n Q is %0.2f J/s ',Q);\n",
+"\n",
+"//The answer to Rate of heat generated 'Q' is calculated incorrectly in the book."
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 23.7: B23_7.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 23-7\n",
+"clc;\n",
+"clear;\n",
+"Vi=20*5/18;\n",
+"Vf=0;\n",
+"m=80;\n",
+"pmax=1;\n",
+"u=0.1;\n",
+"S=50;\n",
+"KE=0.5*m*Vi^2;\n",
+"N=KE/(u*S*2);\n",
+"t=sqrt(N/(pmax*3));\n",
+"b=3*t;\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('KE is %0.1f Nm ',KE);\n",
+"  printf('\n N is %0.2f N ',N);\n",
+"  printf('\n t is %0.1f mm ',t);\n",
+"  printf('\n b is %0.1f mm ',b);\n",
+"\n",
+"//The difference in the answers are due to rounding-off of values."
+   ]
+   }
+],
+"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
+}