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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:fe60a567abd9a722f9efaa797b5de23eaf91ae1c1b70917990ddaa017e213706"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 15 : Welded, Bolted, and Riveted Connections"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.1 Page No : 393"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\t\t\t\n",
+ "# Variables\n",
+ "sigma = 20000. \t\t\t#psi\n",
+ "b = 6. \t\t \t#in\n",
+ "h = 0.5 \t\t \t#in\n",
+ "p1 = 3750.\n",
+ "\t\t\t\n",
+ "# Calculations\n",
+ "P = sigma*b*h\n",
+ "L = (P-p1*b)/(2*p1)\n",
+ "\t\t\t\n",
+ "# Results\n",
+ "print 'L = %.2f in'%(L)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "L = 5.00 in\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.2 Page No : 294"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from numpy import linalg\n",
+ "\t\t\t\n",
+ "# Variables\n",
+ "P = 5000. \t\t\t#lb per in\n",
+ "Tl = 75. \t\t\t#kips\n",
+ "y1 = 2.63 \t\t\t#in\n",
+ "y2 = 1.37 \t\t\t#in\n",
+ "\t\t\t\n",
+ "# Calculations\n",
+ "A = [[P, P],[y1*P, -y2*P]]\n",
+ "b = [Tl*10**3, 0]\n",
+ "c = linalg.solve(A,b)\n",
+ "L1 = c[0]\n",
+ "L2 = c[1]\n",
+ "\t\t\t\n",
+ "# Results\n",
+ "print 'L1 = %.2f in'%(L1)\n",
+ "print 'L2 = %.2f in'%(L2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "L1 = 5.14 in\n",
+ "L2 = 9.86 in\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.3 Page No : 397"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math \n",
+ "\t\t\t\n",
+ "# Variables\n",
+ "d = 3./8 \t \t\t#in\n",
+ "d1 = 1./8 \t\t \t#in\n",
+ "y = 1. \t\t \t #in\n",
+ "T = 15000. \t\t\t #psi\n",
+ "sigmab = 32000. \t\t\t#psi\n",
+ "sigmat = 18000. \t\t\t#psi\n",
+ "\t\t\t\n",
+ "# Calculations\n",
+ "Ps = math.pi*T*(d/2)**2\n",
+ "Pt = sigmat*d1*(y-d)\n",
+ "Pb = sigmab*d1*d\n",
+ "Pmin =Ps\n",
+ "sigma =T\n",
+ "if(Pt<Pmin):\n",
+ " Pmin =Pt\n",
+ " sigma =sigmat\n",
+ "else:\n",
+ " Pmin =Pb\n",
+ " sigma =sigmab\n",
+ "\n",
+ "e = Pmin*100/(sigma*d1*y)\n",
+ "\t\t\t\n",
+ "# Results\n",
+ "print 'e = %.2f per cent'%(e)\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "e = 62.50 per cent\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.4 Page No : 398"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math \n",
+ "\t\t\t\n",
+ "# Variables\n",
+ "d = 7./8 \t\t\t#in\n",
+ "Ss = 15000. \t\t\t#psi\n",
+ "Sb = 32000. \t\t\t#psi\n",
+ "St = 20000. \t\t\t#psi\n",
+ "n = 8.\n",
+ "t = 3./8 \t\t\t#in\n",
+ "l = 10. \t\t\t#in\n",
+ "\t\t\t\n",
+ "# Calculations\n",
+ "Ps = Ss*math.pi*n*(d/2)**2\n",
+ "Pb = Sb*math.pi*n*d*t\n",
+ "Pt1 = St*(l-d*2)*t\n",
+ "Pt2 = 4*St*(l-d*4)*t/3\n",
+ "Pt3 = 4*St*(l-d*2)*t\n",
+ "Pmin = Ps\n",
+ "sigma = Ss\n",
+ "if (Pb<Pmin):\n",
+ " Pmin =Pb\n",
+ " sigma =Sb\n",
+ "elif (Pt1<Pmin):\n",
+ " Pmin =Pt1\n",
+ " sigma =St\n",
+ "elif (Pt2<Pmin):\n",
+ " Pmin =Pt2\n",
+ " sigma =St\n",
+ "elif (Pt3<Pmin):\n",
+ " Pmin =Pt3\n",
+ " sigma =St\n",
+ "e = Pmin*100/(sigma*t*l)\n",
+ "\t\t\t\n",
+ "# Results\n",
+ "print 'e = %.1f per cent'%(e)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "e = 82.5 per cent\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.5 Page No : 400"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\t\t\t\n",
+ "# Variables\n",
+ "n = 8.\n",
+ "shear = 15. \t\t\t#ksi\n",
+ "Dr = 7/8. \t\t\t#in\n",
+ "Ss = 32. \t\t\t#ksi\n",
+ "Ds = 40. \t\t\t#si\n",
+ "D = 3/8. \t\t\t#in\n",
+ "x = 0.504 \t\t\t#in\n",
+ "pmin=0\n",
+ "\t\t\t\n",
+ "# Calculations\n",
+ "Ps = shear*n*(Dr/2)**2\n",
+ "Pb = Ds*(n/2)*x*Dr\n",
+ "Pb1 = Ss*n*D*Dr\n",
+ "pmin = Ps\n",
+ "if (Pb<pmin):\n",
+ " Pmin = Pb\n",
+ "else: \n",
+ " Pmin = Pb1 \n",
+ "\t\t\t\n",
+ "# Results\n",
+ "print 'load capacity of connection = %.1f kips'%(Pb)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "load capacity of connection = 70.6 kips\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.6 Page No : 401"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math \n",
+ "\t\t\t\n",
+ "# Variables\n",
+ "T = 15000. \t\t\t#psi\n",
+ "x1 = 3. \t\t\t#in\n",
+ "x2 = 3. \t\t\t#in\n",
+ "y1 = 3. \t\t\t#in\n",
+ "y2 = 3. \t\t\t#in\n",
+ "d = 0.5 \t\t\t#in\n",
+ "n = 4.\n",
+ "\t\t\t\n",
+ "# Calculations\n",
+ "P = T*(math.pi/4)*d**2/(math.sqrt((1/n)**2+(1/((math.sqrt(y1**2+y2**2)/y1)*n))**2+ \\\n",
+ "(2*(1/n)*(1/(n*(math.sqrt(y1**2+y2**2))/y1))*math.cos(math.radians(45)))))\n",
+ "P1 = T*(math.pi/4)*d**2/((1/n)+(y1/(n*y1)))\n",
+ "if (P>P1):\n",
+ " print 'Stornger P = %.2f lb'%(P)\n",
+ "else:\n",
+ " print 'Stornger P = %.2f lb'%(P1)\n",
+ "\n",
+ "# note : answer is different because of rounding off error. please check."
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Stornger P = 7450.94 lb\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.7 Page No : 403"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math \n",
+ "\t\t\t\n",
+ "# Variables\n",
+ "P = 5. \t\t\t#kips\n",
+ "xab = 3. \t\t\t#in\n",
+ "xbc = 6. \t\t\t#in\n",
+ "xbp = 1. \t\t\t#in\n",
+ "y = 6. \t\t\t#in\n",
+ "n = 3.\n",
+ "\t\t\t\n",
+ "# Calculations\n",
+ "Dl = P/3\n",
+ "Pct = (6*P)/(((xab+xbp)*(xab+xbp)/(xbc-xbp))+(xbp/(xbc-xbp))+(xbc-xbp))\n",
+ "R = math.sqrt(Pct**2+Dl**2)\n",
+ "\t\t\t\n",
+ "# Results\n",
+ "print 'Greatest Load = %.2f kips'%(R)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Greatest Load = 3.94 kips\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file
generated by cgit (git 2.34.1) at 2025-02-02 21:24:20 +0000