summaryrefslogtreecommitdiff
path: root/sample_notebooks/SalilKapur/IntroductionConcept_of_Stress.ipynb
diff options
context:
space:
mode:
authorTrupti Kini2016-01-14 23:30:04 +0600
committerTrupti Kini2016-01-14 23:30:04 +0600
commit74041944ebc4e24a44605a10e63051363d970bb8 (patch)
tree9da17057c078e60c805941e94606987755c7aa46 /sample_notebooks/SalilKapur/IntroductionConcept_of_Stress.ipynb
parent2ccbe5e7fefe3d20840113f4b5d6d393e1b8f8e0 (diff)
downloadPython-Textbook-Companions-74041944ebc4e24a44605a10e63051363d970bb8.tar.gz
Python-Textbook-Companions-74041944ebc4e24a44605a10e63051363d970bb8.tar.bz2
Python-Textbook-Companions-74041944ebc4e24a44605a10e63051363d970bb8.zip
Added(A)/Deleted(D) following books
A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter1.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter10.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter12.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter13.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter14.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter15.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter16.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter2.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter6.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter7.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter8.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter9.ipynb A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/screenshots/Screenshot_from_2016-01-14_17:01:00.png A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/screenshots/Screenshot_from_2016-01-14_17:01:25.png A 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/screenshots/Screenshot_from_2016-01-14_17:02:44.png A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter1.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter10.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter11.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter12.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter13.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter14.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter15.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter2.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter3.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter4.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter5.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter6.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/chapter7.ipynb A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/screenshots/Screenshot_from_2016-01-14_16:13:43.png A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/screenshots/Screenshot_from_2016-01-14_16:16:31.png A Basic_Mathematics_for_Electricity_and_Electronics_by_Arthur_Beiser/screenshots/Screenshot_from_2016-01-14_16:17:27.png A Electrical_And_Electronics_Engineering_Materials_by_J._B._Gupta/README.txt A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/Chapter1.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/Chapter10.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/Chapter11.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/Chapter12.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/Chapter13.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/Chapter15.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/Chapter2.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/Chapter3.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/Chapter4.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/Chapter5.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/Chapter9.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/chapter16.ipynb A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/screenshots/chapter12.png A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/screenshots/chapter15.png A Engineering_Physics_by_K.J_Pratap,_G.Prakash_Reddy,_S.Md.Asadullah,_P_Madhusudana_Rao,_B.Bhanu_Prasad_/screenshots/chapter16.png A High_Voltage_Engineering_by_V_Kamaraju_,_M_S_Naidu/Chapter2.ipynb A High_Voltage_Engineering_by_V_Kamaraju_,_M_S_Naidu/Chapter3.ipynb A High_Voltage_Engineering_by_V_Kamaraju_,_M_S_Naidu/Chapter4.ipynb A High_Voltage_Engineering_by_V_Kamaraju_,_M_S_Naidu/Chapter6.ipynb A High_Voltage_Engineering_by_V_Kamaraju_,_M_S_Naidu/Chapter7.ipynb A High_Voltage_Engineering_by_V_Kamaraju_,_M_S_Naidu/Chapter8.ipynb A High_Voltage_Engineering_by_V_Kamaraju_,_M_S_Naidu/Chapter9.ipynb A High_Voltage_Engineering_by_V_Kamaraju_,_M_S_Naidu/screenshots/chapter2.png A High_Voltage_Engineering_by_V_Kamaraju_,_M_S_Naidu/screenshots/chapter3.png A High_Voltage_Engineering_by_V_Kamaraju_,_M_S_Naidu/screenshots/chapter4.png A sample_notebooks/SalilKapur/IntroductionConcept_of_Stress.ipynb
Diffstat (limited to 'sample_notebooks/SalilKapur/IntroductionConcept_of_Stress.ipynb')
-rw-r--r--sample_notebooks/SalilKapur/IntroductionConcept_of_Stress.ipynb282
1 files changed, 282 insertions, 0 deletions
diff --git a/sample_notebooks/SalilKapur/IntroductionConcept_of_Stress.ipynb b/sample_notebooks/SalilKapur/IntroductionConcept_of_Stress.ipynb
new file mode 100644
index 00000000..050d69c7
--- /dev/null
+++ b/sample_notebooks/SalilKapur/IntroductionConcept_of_Stress.ipynb
@@ -0,0 +1,282 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 1: Introduction—Concept of Stress\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Example 1.1, Page number 18 "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Case(a): Shearing Stress in Pin A = 6790.6 psi\n",
+ "Case(b): Shearing Stress in Pin C = 7639 psi\n",
+ "Case(c): Largest Normal Stress in Link ABC = 2286 psi\n",
+ "Case(d): Average Shearing Stress at B = 171 psi\n",
+ "Case(e): Bearing Stress in Link at C = 6000 psi\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "Fac = 750 #Force on rod AC(lb)\n",
+ "D = 0.375 #Diameter at the upper junction of rod ABC(in)\n",
+ "\n",
+ "\n",
+ "#Calculation \n",
+ "#Case(a)\n",
+ "A=(1/4)*((math.pi)*pow(D,2)) #Area at the upper junction of rod ABC(in^2) \n",
+ "tA=(Fac/A) #Shearing Stress in Pin A(psi) \n",
+ "#Case(b) \n",
+ "Ab=(1/4)*((math.pi)*pow(0.25,2)) #Area at the lower junction of rod ABC(in^2)\n",
+ "tC=(((1/2)*Fac)/Ab) #Shearing Stress in Pin C(psi)\n",
+ "#Case(c)\n",
+ "Anet=(3/8)*(1.25-0.375) #Area of cross section at A(in^2)\n",
+ "sA=(Fac/Anet) #Largest Normal Stress in Link ABC(psi)\n",
+ "#Case(d)\n",
+ "F1=750/2 #Force on each side(lb)\n",
+ "Ad=(1.25*1.75) #Area at junction B(in^2)\n",
+ "tB=(F1/Ad) #Average Shearing Stress at B\n",
+ "#Case(e)\n",
+ "Ae=0.25*0.25 #Area at point C(in^2)\n",
+ "sB=(F1/Ae) #Bearing Stress in Link at C\n",
+ "\n",
+ "\n",
+ "#Result\n",
+ "print('Case(a): Shearing Stress in Pin A = %.1f psi' %tA)\n",
+ "print('Case(b): Shearing Stress in Pin C = %.f psi' %tC)\n",
+ "print('Case(c): Largest Normal Stress in Link ABC = %.f psi' %sA)\n",
+ "print('Case(d): Average Shearing Stress at B = %.f psi' %tB)\n",
+ "print('Case(e): Bearing Stress in Link at C = %.f psi' %sB)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Example 1.2, Page number 19"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Case(a): Diameter of the bolt = 28 mm\n",
+ "Case(a): Dimension b at Each End of the Bar = 62 mm\n",
+ "Case(a): Dimension h of the Bar = 34.300000 mm\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "P = 120 #Maximum allowable tension force \n",
+ "s = 175 #Maximum allowable stress\n",
+ "t = 100 #Maximum allowable stress\n",
+ "Sb = 350 #Maximum allowable stress\n",
+ "\n",
+ "\n",
+ "#Calculation\n",
+ "#Case(a)\n",
+ "F1=P/2 #Current(A)\n",
+ "d=math.sqrt(((P/2)*1000)/((22/(4*7))*(100000000))) #Diameter of bolt(m)\n",
+ "d=d*1000 #Diameter of bolt(mm)\n",
+ "d=round(d,0) #Rounding of the value of diameter of bolt(mm)\n",
+ "Ad=(0.020*0.028) #Area of cross section of plate \n",
+ "tb=((P*1000)/Ad)/(1000000) #Stress between between the 20-mm-thick plate and the 28-mm-diameter bolt\n",
+ "tb=round(tb,0) #Rounding of the above calculated stress to check if it is less than 350\n",
+ "a=(P/2)/((0.02)*(175)) #Dimension of cross section of ring \n",
+ "a=round(a,2) #Rounding dimension of cross section of ring to two decimal places\n",
+ "b=28 + (2*(a)) #Dimension b at Each End of the Bar\n",
+ "b=round(b,2) #Rounding the dimension b to two decimal places \n",
+ "h=(P)/((0.020)*(175)) #Dimension h of the Bar\n",
+ "h=round(h,1) #Rounding dimension h of bar to 1 decimal place\n",
+ "\n",
+ "\n",
+ "#Result\n",
+ "print ('Case(a): Diameter of the bolt = %.f mm' %d)\n",
+ "print ('Case(a): Dimension b at Each End of the Bar = %.f mm' %b)\n",
+ "print ('Case(a): Dimension h of the Bar = %f mm' %h)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Example 1.3, Page number 34"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 45,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Case(a): Diameter of the bolt = 16.730000 mm\n",
+ "Case(a): Dimension b at Each End of the Bar = 22.000000 mm\n",
+ "Case(a): Dimension h of the Bar = 6.000000 mm\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "Su = 600 #ultimate normal stress(MPa) \n",
+ "FS = 3.3 #Factor of safety with respect to failure\n",
+ "tU=350 #Ultimate shearing stress(MPa)\n",
+ "Cx=40 #X Component of reaction at C(kN)\n",
+ "Cy=65 #Y Component of reaction at C(kN)\n",
+ "Smax=300 #Allowable bearing stress of the steel \n",
+ "\n",
+ "#Calculation\n",
+ "C=math.sqrt((math.pow(40,2))+(math.pow(65,2)))\n",
+ "\n",
+ "#Case(a)\n",
+ "P=(15*0.6 + 50*0.3)/(0.6) #Allowable bearing stress of the steel(MPa)\n",
+ "Sall=(Su/FS) #Allowable Stress(MPa)\n",
+ "Sall=round(Sall,1) #Rounding Allowable stress to 1 decimal place(MPa)\n",
+ "Areqa=(P/(Sall*(1000))) #Cross Sectional area(m^2)\n",
+ "Areqa=round(Areqa,5) #Rounding cross sectional area to 5 decimal places(m^2)\n",
+ "dAB=math.sqrt(((Areqa)*(4))/(22/7)) #Diameter of AB(m)\n",
+ "dAB=dAB*1000 #Diameter of AB(mm)\n",
+ "dAB=round(dAB,2) #Rounding Diameter of AB(mm)\n",
+ "\n",
+ "#Case(b)\n",
+ "tALL=tU/FS #Stress(MPa)\n",
+ "tALL=round(tALL,1) #Rounding of Stress\n",
+ "AreqC=((C/2)/tALL) #Cross sectional area(m^2)\n",
+ "AreqC=AreqC*1000 \n",
+ "AreqC=round(AreqC,0) #Rounding the cross sectional area\n",
+ "dC=math.sqrt((4*AreqC)/(22/7)) #Diameter at point C\n",
+ "dC=round((dC+1),0) #Rounding of the diameter at C\n",
+ "\n",
+ "#Case(c)\n",
+ "\n",
+ "Areq=((C/2)/Smax) \n",
+ "Areq=Areq*1000 #Cross sectional area(mm^2)\n",
+ "t=(Areq/22) #Thickness of the bracket\n",
+ "t=round(t,0)\n",
+ "\n",
+ "#Result\n",
+ "print ('Case(a): Diameter of the bolt = % f mm' %dAB)\n",
+ "print ('Case(a): Dimension b at Each End of the Bar = % f mm' %dC)\n",
+ "print ('Case(a): Dimension h of the Bar = % f mm' %t)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "collapsed": true
+ },
+ "source": [
+ "# Example 1.4, Page number 35"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Case(a): Control Rod = 5.263672 kips\n",
+ "Case(b): Bolt at B = 5.156250 kips\n",
+ "Case(c): Bolt at D = 6.865179 kips\n",
+ "Case(d): Bolt at C = 5.238095 kips\n",
+ "Summary. We have found separately four maximum allowable values of the force C. In order to satisfy all these criteria we must choose the smallest value, namely:= 5.156250 kips\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "tU=40 #ultimate tensile stress\n",
+ "sU=60 #ultimate shearing stress\n",
+ "FS=3 #Mimnimum factor of safety\n",
+ "dA=(7/16) #Diameter of bolt at A(in)\n",
+ "dB=3/8 #Diameter of bolt at B(in) \n",
+ "dD=3/8 #Diameter of bolt at D(in)\n",
+ "dC=1/2 #Diameter of bolt at C(in)\n",
+ "\n",
+ "\n",
+ "#Calculation\n",
+ "Sall=(sU/FS) #Total tensile stress(kips)\n",
+ "B=Sall*((1/4)*(22/7)*(pow((7/16),2))) #Allowable force in the control rod(kips)\n",
+ "C1=1.75*(B) #Control Rod(kips)\n",
+ "tall=(tU/FS) #Total shearing stress\n",
+ "B=2*(tall*(1/4)*(22/7)*(3/8)*(3/8)) #Allowable magnitude of the force B exerted on the bolt\n",
+ "C2=1.75*B #Bolt at B(kips) \n",
+ "D=B #Bolt at D. Since this bolt is the same as bolt B, the allowable force is same(kips) \n",
+ "C3=2.33*D #Bolt at D(kips)\n",
+ "C4=2*(tall*(1/4)*(22/7)*(1/2)*(1/2)) #Bolt at C(kips) \n",
+ "list1=[C1,C2,C3,C4] #Adding all the maximum allowable forces on C(kips) \n",
+ "\n",
+ "\n",
+ "#Result\n",
+ "print ('Case(a): Control Rod = % f kips' %C1)\n",
+ "print ('Case(b): Bolt at B = % f kips' %C2)\n",
+ "print ('Case(c): Bolt at D = % f kips' %C3)\n",
+ "print ('Case(d): Bolt at C = % f kips' %C4)\n",
+ "print ('Summary. We have found separately four maximum allowable values of the force C. In order to satisfy all these criteria we must choose the smallest value, namely:= % f kips' %min(list1));"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.5.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}