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-{
- "metadata": {
- "name": "",
- "signature": "sha256:f63edcd22a3bf57c69f1f76aca0a01ff1dd288f9c7a8d1b01585ac7b29af9fbe"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Ch:7 Struts and Columns"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 7-1 - Page 192"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import pi\n",
- "sigc=550#\n",
- "FOS=4#\n",
- "sigw=sigc/FOS#\n",
- "l=4000#\n",
- "le=l/2#\n",
- "A=pi*(1-0.7**2)/4#\n",
- "K=(1+0.7**2)/16#\n",
- "Pr=800*10**3#\n",
- "a=1/1600#\n",
- "D=130# #Rounding off to nearest whole number\n",
- "d=D*0.7#\n",
- "print \"D is %0.1f mm \"%(D)#\n",
- "print \"\\nd is %0.1f mm \"%(d)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "D is 130.0 mm \n",
- "\n",
- "d is 91.0 mm \n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 7-2 - Page 192"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import sqrt\n",
- "l=500#\n",
- "E=70*10**3#\n",
- "P=20*10**3#\n",
- "FOS=2#\n",
- "d=P*2*12*4*l**2/((pi)**2*E)#\n",
- "d=(sqrt(8)*d)**0.25#\n",
- "b=d/sqrt(8)#\n",
- "print \"d is %0.2f mm \"%(d)#\n",
- "print \"\\nb is %0.2f mm \"%(b)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "d is 37.44 mm \n",
- "\n",
- "b is 13.24 mm \n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 7-3 - Page193"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "Ixx=(2*1696.6)+115.4#\n",
- "Iyy=1696.6+(2*115.4)+(2*25.27*10.27**2)#\n",
- "A=3*25.27#\n",
- "Kmin=sqrt(Ixx/75.81)#\n",
- "L=600#\n",
- "k=L/Kmin#\n",
- "sigc=110#\n",
- "c=1/200#\n",
- "sigw=sigc*(1-(c*k))#\n",
- "Pw=sigw*A#\n",
- "a=1/7500#\n",
- "sigc1=320#\n",
- "Pr=(sigc1*A)/(1+(a*(L/Kmin)**2))#\n",
- "FOS=Pr/Pw#\n",
- "print \"FOS is %0.2f \"%(FOS)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "FOS is 2.91 \n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 7-4 - Page 194"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "Iyy=193.4+(2*1.2*1.5**3/12)#\n",
- "E=200*10**3#\n",
- "l=500#\n",
- "Pe=(pi**2)*E*Iyy*10**5/(l**2)#\n",
- "A=35.53+(2*1.2*15)#\n",
- "sige=Pe/7530#\n",
- "k=sqrt(Iyy/A)#\n",
- "xc=75#\n",
- "sig=80#\n",
- "sigo=20.875#\n",
- "A=A*100#\n",
- "P=sigo*A#\n",
- "P=P*10**-3#\n",
- "print \"P is %0.1f kN \"%(P)#\n",
- " \n",
- " #The difference in the value of P is due to rounding-off the digits."
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "P is 149.3 kN \n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 7-5 - Page 195"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "sigc=330#\n",
- "a=1/7500#\n",
- "t=4#\n",
- "A=14.5*t**2#\n",
- "l=300#\n",
- "Kx=sqrt(1.4626*t**2)#\n",
- "Pr=sigc*A/(1+(a*(l/Kx)**2))#\n",
- "FOS=2#\n",
- "P=Pr/FOS*10**-3#\n",
- "print \"P is %0.4f KN \"%(P)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "P is 38.2800 KN \n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 7-6 - Page 195"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "P=1500#\n",
- "FOS=2#\n",
- "Pd=FOS*P#\n",
- "l=280#\n",
- "E=207*10**3#\n",
- "I=Pd*l**2/(pi**2*E)#\n",
- "D=(64*I/(pi*(1-0.8**4)))**(1/4)#\n",
- "D=8#\n",
- "d=6.4#\n",
- "print \"D is %0.1f mm \"%(D)#\n",
- "print \"\\nd is %0.1f mm \"%(d)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "D is 8.0 mm \n",
- "\n",
- "d is 6.4 mm \n"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 7-7 - Page 196"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "D=500#\n",
- "p=0.3#\n",
- "E=208*10**3#\n",
- "sigc=320#\n",
- "a=1/7500#\n",
- "l=2000#\n",
- "le=l/2#\n",
- "W=pi*D**2*p/4#\n",
- "FOS=4#\n",
- "Wd=W*FOS#\n",
- "I=Wd*l**2/(pi**2*E)#\n",
- "d=(64*I/pi)**(1/4)#\n",
- "A=pi*d**2/4#\n",
- "k=d/4#\n",
- "d=45# #Rounding off to nearest whole number\n",
- "print \"d is %0.1f mm \"%(d)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "d is 45.0 mm \n"
- ]
- }
- ],
- "prompt_number": 7
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-20 06:36:40 +0000