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+{
+"cells": [
+ {
+		   "cell_type": "markdown",
+	   "metadata": {},
+	   "source": [
+       "# Chapter 27: STRAIGHT BEVEL GEARS"
+	   ]
+	},
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 27.1: SBG1.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 27-1\n",
+"clc;\n",
+"clear;\n",
+"P=8000;\n",
+"N1=400;\n",
+"N2=200;\n",
+"i=N1/N2; //i=Zg/Zp=dg/dp\n",
+"gamma1=atan(1/i);\n",
+"gamma2=90-gamma1;\n",
+"rp=200;\n",
+"R=rp/sin(gamma1);\n",
+"b=0.2*R;\n",
+"rm1=rp-(b*sin(gamma1)/2);\n",
+"Pt=P*1000*60/(2*%pi*N1*rm1);\n",
+"alpha=20*%pi/180;\n",
+"Ps=Pt*tan(alpha);\n",
+"Pr=Ps*cos(gamma1);\n",
+"Pa=Ps*sin(gamma1);\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('Pt is %0.0f N  ',Pt);\n",
+"  printf('\n Ps is %0.2f N  ',Ps);\n",
+"  printf('\n Pr is %0.2f N  ',Pr);\n",
+"  printf('\n Pa  is %0.2f N  ',Pa);\n",
+"\n",
+"//The difference in the values is due to rounding-off of the values."
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 27.2: SBG2.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 27-2\n",
+"clc;\n",
+"clear;\n",
+"alpha=20*%pi/180;\n",
+"Zp=20;\n",
+"Zg=36;\n",
+"m=4;\n",
+"sigut=600;\n",
+"b=25;\n",
+"dp=m*Zp;\n",
+"rp=dp/2;\n",
+"dg=m*Zg;\n",
+"rg=dg/2;\n",
+"gamma1=atan(rp/rg);\n",
+"Zpv=Zp/cos(gamma1);\n",
+"Y=0.33+0.003*0.88;\n",
+"sigb=sigut/3;\n",
+"Sb=m*b*sigb*Y;\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('Zpv is %0.2f   ',Zpv);\n",
+"  printf('\n Sb is %0.0f N  ',Sb);"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 27.3: SBG3.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 27-3\n",
+"clc;\n",
+"clear;\n",
+"m=6;\n",
+"Zp=30;\n",
+"Zg=45;\n",
+"dp=m*Zp;\n",
+"rp=dp/2;\n",
+"dg=m*Zg;\n",
+"rg=dg/2;\n",
+"R=sqrt(rg^2+rp^2);\n",
+"gamma1=180/%pi*asin(rp/R);\n",
+"gamma2=(90-gamma1);\n",
+"ha=6;\n",
+"hf=1.25*ha;\n",
+"phi=180/%pi*atan(ha/R);\n",
+"beta=180/%pi*atan(hf/R);\n",
+"//let Face Cone Angle be FCA\n",
+"FCA=(gamma1+phi);\n",
+"//Let Root cone angle be RCA\n",
+"RCA=(gamma1-beta);\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf(' gamma1 is %0.1f deg  ',gamma1);\n",
+"  printf('\n gamma2 is %0.1f deg  ',gamma2);\n",
+"  printf('\n R  is %0.2f mm  ',R);\n",
+"  printf('\n FCA  is %0.3f deg  ',FCA);\n",
+"  printf('\n RCA  is %0.2f deg  ',RCA);"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 27.4: SBG4.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 27-4\n",
+"clc;\n",
+"clear;\n",
+"alpha=20*%pi/180;\n",
+"Zp=25;\n",
+"Zg=40;\n",
+"m=5;\n",
+"b=30;\n",
+"BHN=400;\n",
+"dp=m*Zp;\n",
+"rp=dp/2;\n",
+"dg=m*Zg;\n",
+"rg=dg/2;\n",
+"gamma1=atan(rp/rg);\n",
+"gamma1=180/%pi*gamma1;\n",
+"gamma2=(90-gamma1);\n",
+"a=cosd(gamma2);\n",
+"Zp1=Zp/cos(gamma1);\n",
+"Zg1=Zg/a;\n",
+"Q=(2*Zg1)/(Zp1+Zg1);\n",
+"K=0.16*(BHN/100)^2;\n",
+"Sw=0.75*b*dp*Q*K/cosd(gamma1);\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('Sw is %0.1f N  ',Sw);\n",
+"  \n",
+"  //The difference in the value of Sw is due to rounding-off of the value of Q.\n",
+""
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 27.5: SBG5.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 27-5\n",
+"clc;\n",
+"clear;\n",
+"Zp=20;\n",
+"Zg=36;\n",
+"m=4;\n",
+"b=25;\n",
+"BHN=360;\n",
+"Np=750;\n",
+"FOS=1.75;\n",
+"dp=m*Zp;\n",
+"rp=dp/2;\n",
+"dg=m*Zg;\n",
+"rg=dg/2;\n",
+"gamma1=atan(dp/dg);\n",
+"gamma1=180/%pi*gamma1;\n",
+"gamma2=(90-gamma1);\n",
+"a=cosd(gamma2);\n",
+"Zp1=Zp/cosd(gamma1);\n",
+"Zg1=Zg/a;\n",
+"Q=(2*Zg1)/(Zp1+Zg1);\n",
+"K=0.16*(BHN/100)^2;\n",
+"R=sqrt(rp^2+rg^2);\n",
+"Y=0.33+0.003*0.86;\n",
+"sigut=600;\n",
+"sigb=sigut/3;\n",
+"Sb=m*b*Y*sigb*(1-(b/R));\n",
+"Sw=0.75*b*dp*Q*K/cosd(gamma1);\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('Sb is %0.0f N   ',Sb);\n",
+"  printf('\n Sw is %0.1f N  ',Sw);\n",
+"\n",
+"//The answwer to Sb is calculated incorrectly in the book."
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 27.6: SBG6.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 27-6\n",
+"clc;\n",
+"clear;\n",
+"Dp=300;\n",
+"rp=150;\n",
+"//Let the angular velocity ratio be i\n",
+"i=2/3;\n",
+"rg=rp/i;\n",
+"Dg=2*rg;\n",
+"R=sqrt(rp^2+rg^2);\n",
+"P=15000;\n",
+"N=300;\n",
+"Cs=1.5;\n",
+"FOS=2;\n",
+"sigb=100;\n",
+"gamma1=atan(Dp/Dg);\n",
+"gamma1=180/%pi*gamma1;\n",
+"gamma2=(90-gamma1);\n",
+"v=2*%pi*N*rp/(60*1000);\n",
+"Cv=5.6/(5.6+sqrt(v));\n",
+"Pt=P/v;\n",
+"Peff=Pt*Cs/Cv;\n",
+"Sb=Peff*FOS;\n",
+"b=R/4;\n",
+"//let x=m*Y\n",
+"x=Sb/(b*sigb*(1-(b/R)));\n",
+"m=6;\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('m*Y is %0.3f mm^2  ',x);\n",
+"  printf('\n m is %0.0f mm  ',m);"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 27.7: SBG7.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 27-7\n",
+"clc;\n",
+"clear;\n",
+"Zp=24;\n",
+"Zg=36;\n",
+"N=1400;\n",
+"P=11600;\n",
+"Cs=1.4;\n",
+"FOS=2;\n",
+"sigut=600;\n",
+"sigb=sigut/3;\n",
+"gamma1=atan(Zp/Zg);\n",
+"gamma1=180/%pi*gamma1;\n",
+"gamma2=(90-gamma1);\n",
+"a=cosd(gamma2);\n",
+"Zp1=Zp/cosd(gamma1);\n",
+"Zg1=Zg/a;\n",
+"Q=(2*Zg1)/(Zp1+Zg1);\n",
+"v=1.76;\n",
+"Pt=P/v;\n",
+"Cv=5.6/(5.6+sqrt(v));\n",
+"Peff=Pt*Cs/Cv;\n",
+"x=Peff*FOS;\n",
+"Y=0.352+(0.003*0.85);\n",
+"y=2*sigb*Y*(1-(6/21.63));\n",
+"m=sqrt(x/y);\n",
+"// Design is safe for m=4\n",
+"m=4;\n",
+"b=6*m;\n",
+"dp=24*m;\n",
+"rp=48;\n",
+"dp=dp/cosd(gamma1);\n",
+"v=2*%pi*N*rp/(60*1000);\n",
+"Cv=5.6/(5.6+sqrt(v));\n",
+"Sb=y*m^2;\n",
+"//Sw=Sb;\n",
+"K=Sb/(0.75*b*dp*Q);\n",
+"BHN=sqrt(K/0.16)*100;\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('m is %0.0f mm  ',m);\n",
+"  printf('\n BHN is %0.0f   ',BHN);\n",
+"  \n",
+"  //The answwer to BHN is calculated incorrectly in the book."
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 27.8: SBG8.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"// sum 27-8\n",
+"clc;\n",
+"clear;\n",
+"Zp=40;\n",
+"Zg=60;\n",
+"P=3500;\n",
+"N=600;\n",
+"Cs=1.5;\n",
+"sigb=55;\n",
+"gamma1=atan(Zp/Zg);\n",
+"gamma1=180/%pi*gamma1;\n",
+"gamma2=(90-gamma1);\n",
+"a=cosd(gamma2);\n",
+"Zp1=Zp/cosd(gamma1);\n",
+"Zg1=Zg/a;\n",
+"Q=(2*Zg1)/(Zp1+Zg1);\n",
+"// Design is safe for m=6\n",
+"m=6;\n",
+"b=6*m;\n",
+"dp=Zp*m;\n",
+"rp=dp/2;\n",
+"dg=Zg*m;\n",
+"rg=dg/2;\n",
+"R=sqrt(rp^2+rg^2);\n",
+"\n",
+"  // printing data in scilab o/p window\n",
+"  printf('m is %0.0f mm  ',m);\n",
+"  printf('\n b is %0.0f mm  ',b);\n",
+"  printf('\n R is %0.0f mm  ',R);"
+   ]
+   }
+],
+"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
+}