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-{
- "metadata": {
- "name": "",
- "signature": "sha256:4885451d1eb84f1c7ede3570bb9a4c180b0235da374d3be406dcc799b426e236"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Ch:9 Threaded Fasteners"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 9-1 - Page 266"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import pi\n",
- "p1=2#\n",
- "d=16#\n",
- "dt1=d-(0.93825*p1)#\n",
- "At1=pi*dt1**2/4#\n",
- "p2=1.5#\n",
- "d=16#\n",
- "dt2=d-(0.93825*p2)#\n",
- "At2=pi*dt2**2/4#\n",
- "\n",
- "print \" At1 is %0.1f mm**2 \"%(At1)#\n",
- "print \"\\n At2 is %0.1f mm**2 \"%(At2)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " At1 is 156.7 mm**2 \n",
- "\n",
- " At2 is 167.2 mm**2 \n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 9-2 - Page 266"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "W=20*10**3#\n",
- "n=4#\n",
- "#Let the load on each bolt be W1\n",
- "W1=W/n#\n",
- "At=W1/80#\n",
- "\n",
- "print \"At is %0.1f mm**2 \"%(At)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "At is 62.0 mm**2 \n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 9-3 - Page 267"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import atan, tan, cos\n",
- "d=18#\n",
- "p=2.5#\n",
- "dr=d-(1.2268*p)#\n",
- "dm=(d+dr)/2#\n",
- "alpha=atan(p/(pi*dm))#\n",
- "theta=pi*30/180#\n",
- "u1=0.15#\n",
- "u2=0.13#\n",
- "x=(tan(alpha)+(u1/cos(theta)))/(1-(tan(alpha)*u1/cos(theta)))#\n",
- "K=dm*x/(2*d)+(0.625*u2)#\n",
- "print \"K is %0.5f \"%(K)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "K is 0.18343 \n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 9-4 - Page 267"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import log\n",
- "d=20#\n",
- "t=4#\n",
- "Lg=84#\n",
- "Ad=pi*d**2/4#\n",
- "Eb=205*10**3#\n",
- "Ed=105*10**3#\n",
- "kb=Ad*Eb/Lg#\n",
- "lg=80#\n",
- "x=5*(lg+(0.5*d))/(lg+(2.5*d))#\n",
- "kp=pi*Ed*d/(2*log(x))#\n",
- "At=245#\n",
- "sigb=105#\n",
- "Pe=20*10**3#\n",
- "Pb=Pe*kb/(kb+kp)#\n",
- "sigad=Pb/At#\n",
- "finalst=sigb+sigad#\n",
- "\n",
- "print \"final stress is %0.2f N/mm**2 \"%(finalst)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "final stress is 123.28 N/mm**2 \n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 9-5 - Page 268"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "Eb=207*10**3#\n",
- "Ec=105*10**3#\n",
- "sigp=650#\n",
- "At=115#\n",
- "Pi=0.75*sigp*At#\n",
- "F=sigp*At#\n",
- "#Let the additional load Fadd\n",
- "Padd=F-Pi#\n",
- "d=14#\n",
- "Ad=pi*d**2/4#\n",
- "Lg=63#\n",
- "kb=Ad*Eb/Lg#\n",
- "lg=60#\n",
- "x=5*(lg+(0.5*d))/(lg+(2.5*d))#\n",
- "km=pi*Ec*d/(2*log(x))#\n",
- "C=kb/(kb+km)#\n",
- "Pe=Padd/C#\n",
- "K=0.2#\n",
- "Ti=Pi*K*d*10**-3#\n",
- "\n",
- "print \"Ti is %0.2f Nm \"%(Ti)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Ti is 156.97 Nm \n"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 9-6 - Page 269"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "d=20#\n",
- "sigp=600#\n",
- "At=245#\n",
- "Pi=120*10**3#\n",
- "Pe=30*10**3#\n",
- "C=0.35#\n",
- "Pb=C*Pe#\n",
- "P=Pi+Pb#\n",
- "sigi=Pi/At#\n",
- "sigf=P/At#\n",
- "K=0.18#\n",
- "T=K*d*Pi*10**-3#\n",
- "E1=sigi/sigp#\n",
- "E2=sigf/sigp#\n",
- "\n",
- "print \" sigi is %0.1f MPa \"%(sigi)#\n",
- "print \"\\n sigi is %0.2f MPa \"%(sigf)#\n",
- "print \"\\n T is %0.0f Nm \"%(T)#\n",
- "print \"\\n E1 is %0.3f \"%(E1)#\n",
- "print \"\\n E2 is %0.3f \"%(E2)#\n",
- " \n",
- " #Value upto tenthth place is considered in the book for value of final stress in bolt, 'sigf'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " sigi is 489.0 MPa \n",
- "\n",
- " sigi is 532.65 MPa \n",
- "\n",
- " T is 432 Nm \n",
- "\n",
- " E1 is 0.000 \n",
- "\n",
- " E2 is 0.888 \n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 9-7 - Page 269"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import sqrt\n",
- "p=2#\n",
- "d=16#\n",
- "dt=d-(0.938*p)#\n",
- "At=pi*dt**2/4#\n",
- "r=60*sqrt(2)#\n",
- "Td=1/(4*At)#\n",
- "Ta=120#\n",
- "T=8.722*10**-3#\n",
- "P=Ta/T*10**-3#\n",
- "\n",
- "print \"P is %0.3f kN \"%(P)#\n",
- " \n",
- " #Value upto hundredth place is considered in the book for value of permissible load, 'P'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "P is 13.758 kN \n"
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 9-8 - Page 270"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "sigyp=460#\n",
- "FOS=2#\n",
- "Ts=0.577*sigyp/FOS#\n",
- "At=245#\n",
- "r=100#\n",
- "P=Ts*At/1.453*10**-3#\n",
- "print \"The eccentric load is %f N \"%(P)\n",
- "print \"P is %0.3f kN \"%(P)#\n",
- "#Value of thousandth place of eccentric load, 'P' is misprinted in the book. "
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The eccentric load is 22.377116 N \n",
- "P is 22.377 kN \n"
- ]
- }
- ],
- "prompt_number": 9
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-20 07:19:38 +0000