summaryrefslogtreecommitdiff
path: root/Machine_Design_by_U.C._Jindal/Ch27_1.ipynb
diff options
context:
space:
mode:
Diffstat (limited to 'Machine_Design_by_U.C._Jindal/Ch27_1.ipynb')
-rwxr-xr-xMachine_Design_by_U.C._Jindal/Ch27_1.ipynb468
1 files changed, 0 insertions, 468 deletions
diff --git a/Machine_Design_by_U.C._Jindal/Ch27_1.ipynb b/Machine_Design_by_U.C._Jindal/Ch27_1.ipynb
deleted file mode 100755
index adcb8623..00000000
--- a/Machine_Design_by_U.C._Jindal/Ch27_1.ipynb
+++ /dev/null
@@ -1,468 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Ch:27 Straight bevel gears"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 27-1 - Page 712"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Pt is 1061 N \n",
- "\n",
- "Ps is 386.18 N \n",
- "\n",
- "Pr is 345.41 N \n",
- "\n",
- "Pa is 172.71 N \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi, atan, sin, tan, cos\n",
- "from __future__ import division\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",
- "print \"Pt is %0.0f N \"%(Pt)#\n",
- "print \"\\nPs is %0.2f N \"%(Ps)#\n",
- "print \"\\nPr is %0.2f N \"%(Pr)#\n",
- "print \"\\nPa 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": [
- "## exa 27-2 - Page 712"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Zpv is 22.88 \n",
- "\n",
- "Sb is 6653 N \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi, atan, sin, tan, cos\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",
- "print \"Zpv is %0.2f \"%(Zpv)#\n",
- "print \"\\nSb is %0.0f N \"%(Sb)#"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 27-3 - Page 712"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "gamma1 is 33.7 deg \n",
- "\n",
- "gamma2 is 56.3 deg \n",
- "\n",
- "R is 162.25 mm \n",
- "\n",
- "FCA is 35.808 deg \n",
- "\n",
- "RCA is 31.04 deg \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi, atan, sin, tan, cos,asin\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",
- "print \"gamma1 is %0.1f deg \"%(gamma1)#\n",
- "print \"\\ngamma2 is %0.1f deg \"%(gamma2)#\n",
- "print \"\\nR is %0.2f mm \"%(R)#\n",
- "print \"\\nFCA is %0.3f deg \"%(FCA)#\n",
- "print \"\\nRCA is %0.2f deg \"%(RCA)#"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 27-4 - Page 713"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Sw is 12142.4 N \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi, atan, sin, tan, cos\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=cos(pi/180*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/cos(pi/180*gamma1)#\n",
- "print \"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."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 27-5 - Page 713"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Sb is 4633 N \n",
- "\n",
- "Sw is 5438.0 N \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi, atan, sin, tan, cos\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=cos(pi/180*gamma2)#\n",
- "Zp1=Zp/cos(pi/180*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/cos(pi/180*gamma1)#\n",
- "print \"Sb is %0.0f N \"%(Sb)#\n",
- "print \"\\nSw is %0.1f N \"%(Sw)#\n",
- "\n",
- "#The answwer to Sb is calculated incorrectly in the book."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 27-6 - Page 713"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "m*Y is 2.613 mm**2 \n",
- "\n",
- "m is 6 mm \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi, atan, sin, tan, cos\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",
- "print \"m*Y is %0.3f mm**2 \"%(x)#\n",
- "print \"\\nm is %0.0f mm \"%(m)#"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 27-7 - Page 714"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "m is 4 mm \n",
- "\n",
- "BHN is 189 \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi, atan, sin, tan, cos\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=cos(pi/180*gamma2)#\n",
- "Zp1=Zp/cos(pi/180*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/cos(pi/180*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",
- "print \"m is %0.0f mm \"%(m)#\n",
- "print \"\\nBHN is %0.0f \"%(BHN)#\n",
- " \n",
- "#The answwer to BHN is calculated incorrectly in the book."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 27-8 - Page 714"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 9,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "m is 6 mm \n",
- "\n",
- "b is 36 mm \n",
- "\n",
- "R is 216 mm \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi, atan, sin, tan, cos\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=cos(pi/180*gamma2)#\n",
- "Zp1=Zp/cos(pi/180*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",
- "print \"m is %0.0f mm \"%(m)#\n",
- "print \"\\nb is %0.0f mm \"%(b)#\n",
- "print \"\\nR is %0.0f mm \"%(R)#"
- ]
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 2",
- "language": "python",
- "name": "python2"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 2
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython2",
- "version": "2.7.9"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}
generated by cgit (git 2.34.1) at 2024-12-19 18:44:00 +0000