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| author | hardythe1 | 2015-04-07 15:58:05 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-04-07 15:58:05 +0530 |
| commit | c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131 (patch) | |
| tree | 725a7d43dc1687edf95bc36d39bebc3000f1de8f /Mechanics_of_Structures/Chapter11.ipynb | |
| parent | 62aa228e2519ac7b7f1aef53001f2f2e988a6eb1 (diff) | |
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diff --git a/Mechanics_of_Structures/Chapter11.ipynb b/Mechanics_of_Structures/Chapter11.ipynb new file mode 100755 index 00000000..be126298 --- /dev/null +++ b/Mechanics_of_Structures/Chapter11.ipynb @@ -0,0 +1,527 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:efd3a63c379116e766993d1d8b2baacab12f4039280250b30fc0874f009306a1"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Chapter11-Reveted joints"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex11-pg424"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate The efficiency of the joint\n",
+ "t = 5/8.;## inch\n",
+ "d = 1.;## inch\n",
+ "p = 4.;## inches\n",
+ "f_t = 28.; ##tons/in^2\n",
+ "f_s = 20.; ##tons/in^2\n",
+ "f_b = 40.; ##tons/in^2\n",
+ "P_t = (p-d)*t*f_t;## tons\n",
+ "P_s = 2*2*0.25*math.pi*d**2 *f_s;## tons\n",
+ "P_b = 2*d*t*f_b;##tons\n",
+ "P = p*t*f_t;## tons\n",
+ "n = min(P_t,P_s,P_b)/P ;## efficiency\n",
+ "print'%s %.1f %s'%('The efficiency of the joint =',n,'f')\n",
+ "print'%s %.1f %s'%('or',n*100,'percentage')\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The efficiency of the joint = 0.7 f\n",
+ "or 71.4 percentage\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex2-pg425"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate The efficiency of first joint with required conditions\n",
+ "t = 1/2.;## inches\n",
+ "d1= 7/8.;## inches\n",
+ "p1 = 5/2.;## inches\n",
+ "d2= 9/8.;## inches\n",
+ "p2 = 7/2.;## inches\n",
+ "f_t = 8.;## tons/in^2\n",
+ "f_s = 6.;## tons/in^2\n",
+ "f_b = 10.;## tons/in^2\n",
+ "\n",
+ "P_t1 = (p1-d1)*t*f_t;## tons\n",
+ "P_s1 = 0.25*math.pi*d1**2 *f_s;## tons\n",
+ "P_b1 = d1*t*f_b;##tons\n",
+ "P1 = p1*t*f_t;## tons\n",
+ "n1 = min(P_t1,P_s1,P_b1)/P1 ;## efficiency\n",
+ "print'%s %.3f %s'%('The efficiency of first joint = ',n1,'')\n",
+ "print'%s %.1f %s'%('or =',n1*100,'percentage')\n",
+ "\n",
+ "P_t2 = (p2-d2)*t*f_t;## tons\n",
+ "P_s2 = 0.25*math.pi*d2**2 *f_s;## tons\n",
+ "P_b2 = d2*t*f_b;##tons\n",
+ "P2 = p2*t*f_t;## tons\n",
+ "n2 = min(P_t2,P_s2,P_b2)/P2 ;## efficiency\n",
+ "print'%s %.3f %s'%('The efficiency of second joint = ',n2,'f') \n",
+ "print'%s %.1f %s'%('or= ',n2*100,'percentage')\n",
+ "\n",
+ "if n2 > n1: \n",
+ " print(' The second joint, with its higher efficiency, is stronger');\n",
+ "else:\n",
+ " print(' The first joint, with its higher efficiency, is stronger');\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The efficiency of first joint = 0.361 \n",
+ "or = 36.1 percentage\n",
+ "The efficiency of second joint = 0.402 f\n",
+ "or= 40.2 percentage\n",
+ " The second joint, with its higher efficiency, is stronger\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex3-pg427"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate 'The efficiency of the joint\n",
+ "t = 3/8.;## inches\n",
+ "p2 = 7/2.;## inches\n",
+ "f_t = 11/2.;## tons/in^2\n",
+ "f_s = 5.;## tons/in^2\n",
+ "f_b = 12.;## tons/in^2\n",
+ "d = 1.2*math.sqrt(t);## inches\n",
+ "##d = 0.735, say 0.75 inches\n",
+ "d = 0.75;## inches\n",
+ "P_s = 0.25*math.pi*d**2 *f_s;## tons\n",
+ "P_b = d*t*f_b;##tons\n",
+ "P_t_limit = P_s;##tons\n",
+ "p_limit = P_s/(t*f_t) + d;## inches\n",
+ "##p_limit = 1.763, take p = 1.75\n",
+ "p = 1.75;## inches\n",
+ "n = (p-d)/p;## efficiency\n",
+ "print'%s %.1f %s'%('The efficiency of the joint = ',n*100,' percentage')\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The efficiency of the joint = 57.1 percentage\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex4-pg428"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate Pitch and efficency\n",
+ "d = 7/8.;## inches\n",
+ "t = 1/2.;## inches \n",
+ "f_t = 6.;## tons/in^2\n",
+ "f_s = 5.;## tons/in^2\n",
+ "f_b = 10.;## tons/in^2\n",
+ "p_s = 2*0.25*math.pi*d**2*f_s;## tons\n",
+ "P_b = d*t*f_b;## tons\n",
+ "p_t_limit = 2*P_b/3 + d;## inches\n",
+ "n = (p_t_limit-d)/p_t_limit;## efficiency\n",
+ "print'%s %.3f %s'%('Pitch, p =',p_t_limit,' inches')\n",
+ "\n",
+ "print'%s %.1f %s'%('Efficiency = ',n,' ')\n",
+ "print'%s %.d %s'%('or',n*100,' percentage');\n",
+ "\n",
+ "##the answer is approximated in the textbook.\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Pitch, p = 3.792 inches\n",
+ "Efficiency = 0.8 \n",
+ "or 76 percentage\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex5-pg430"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate Pitch and The efficiency of the joint \n",
+ "d = 6.;## feet\n",
+ "p = 180.;## lb/in^2\n",
+ "f = 6.;## tons\n",
+ "n = 70./100.;## efficiency\n",
+ "d1 = 1.;## inches\n",
+ "f_s = 5.;## tons/in^2\n",
+ "f_b = 10.;## tons/in^2\n",
+ "t = p*d/(2.*f*n);## inches\n",
+ "## t = 0.6889 inches, say 0.75 inches\n",
+ "t = 0.75;##inches\n",
+ "P_s = 2*0.25*math.pi*d1**2*f_s;## tons\n",
+ "P_b = d1*t*f_b;## tons\n",
+ "p_limit = 2*P_b/(t*f) + d1;## inches\n",
+ "##p_limit = 4.33 inches, make it 4 inches\n",
+ "p = round(p_limit);## inches\n",
+ "n1 = (p-d1)/p;## efficiency\n",
+ "print'%s %.2f %s'%('Pitch = ',p_limit,'inches')\n",
+ "print'%s %.d %s'%('make it',p,' inches.')\n",
+ "print'%s %.d %s'%(' The efficiency of the joint will be',n1*100,'percentage')\n",
+ "print'%s %.d %s'%('percentage aganist the assumed value of ',n*100,' percentage.')\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Pitch = 4.33 inches\n",
+ "make it 4 inches.\n",
+ " The efficiency of the joint will be 75 percentage\n",
+ "percentage aganist the assumed value of 70 percentage.\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex6-pg433"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate The number of rivets required and The efficiency of the joint and The actual stresses induce in the rivet and The tensile stress at section 11 ,22 33 44\n",
+ "t = 1./2.;## inches\n",
+ "a = 1./2.;## inches\n",
+ "P = 42.;## tons\n",
+ "d = 3/4.;## inches\n",
+ "f_t = 7.5;## tons/in^2\n",
+ "f_s = 6.;## tons/in^2\n",
+ "f_b = 12.;## tons/in^2\n",
+ "P_s = 2*0.25*math.pi*d**2 *f_s;## tons\n",
+ "P_b = d*t*f_b;## tons\n",
+ "n = P/min(P_s,P_b);\n",
+ "n = round(n+1);\n",
+ "b1 = P/(t*f_t) + d;## inches\n",
+ "b = round(b1);\n",
+ "e = (b-d)/b;## efficiency\n",
+ "f_s = (P/n)/(2*0.25*math.pi*d**2) ;## tons/in^2\n",
+ "f_b = (P/n)/(d*t);## tons/in^2\n",
+ "f1 = P/(a*(b-d));## tons/in^2\n",
+ "f2 = (P-(P/n))/((b-2*d)*t);## tons/in^2\n",
+ "f3 = (P-(3.*P/n))/((b-3.*d)*t);## tons/in^2\n",
+ "f4 = (P-(6.*P/n))/((b-4.*d)*t);## tons/in^2\n",
+ "print'%s %.d %s'%('The number of rivets required, n = ',n,'');\n",
+ "print'%s %.2f %s %.d %s'%(' The width of the flat required, b = ',b1,'inches'and' ',b,' inches');\n",
+ "print'%s %.2f %s '%(' The efficiency of the joint = ',e*100,' percentage');\n",
+ "print'%s %.2f %s %.2f %s'%(' The actual stresses induce in the rivet are, f_s = ',f_s,' tons/in^2' and ' f_b = ',f_b ,'tons/in^2');\n",
+ "print'%s %.3f %s'%(' The tensile stress at section 11, f1 = ',f1,'rons/in^2');\n",
+ "print'%s %.3f %s'%(' The tensile stress at section 22, f2 = ',f2,' rons/in^2');\n",
+ "print'%s %.3f %s'%(' The tensile stress at section 33, f3 = ',f3,' rons/in^2');\n",
+ "print'%s %.3f %s'%(' The tensile stress at section 44, f4 = ',f4,' rons/in^2');\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The number of rivets required, n = 10 \n",
+ " The width of the flat required, b = 11.95 12 inches\n",
+ " The efficiency of the joint = 93.75 percentage \n",
+ " The actual stresses induce in the rivet are, f_s = 4.75 f_b = 11.20 tons/in^2\n",
+ " The tensile stress at section 11, f1 = 7.467 rons/in^2\n",
+ " The tensile stress at section 22, f2 = 7.200 rons/in^2\n",
+ " The tensile stress at section 33, f3 = 6.031 rons/in^2\n",
+ " The tensile stress at section 44, f4 = 3.733 rons/in^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex7-pg436"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate The number of rivets required and The efficiency of the joint and The pull section at different points and The maximum possible pull which the flat will safely transmit\n",
+ "import math\n",
+ "\n",
+ "b = 9.;## inches\n",
+ "t = 3./4.;## inches\n",
+ "f_t = 8.;## tons/in**2\n",
+ "f_s = 5.;## tons/in**2\n",
+ "f_b = 10.;## tons/in**2\n",
+ "d = 7/8.;## inches\n",
+ "P = (b-d)*t*f_t;## tons\n",
+ "P_s = 2.*0.25*math.pi*d**2 *f_s;## tons\n",
+ "P_b = d*t*f_b;## tons\n",
+ "n = P/min(P_s,P_b);\n",
+ "e = (b-d)/b;## efficiency\n",
+ "P1 = f_t*(b-d)*t;## tons\n",
+ "P2 = f_t*(b-2*d)*t+P_s;## tons\n",
+ "P3 = f_t*(b-3*d)*t+3*P_s;## tons\n",
+ "P4 = f_t*(b-3*d)*t+6*P_s;## tons\n",
+ "print'%s %.d %s'%('The number of rivets required, n = ',round(n+1),'')\n",
+ "print'%s %.1f %s'%(' The efficiency of the joint =',e*100,' percentage');\n",
+ "print'%s %.2f %s'%(' The pull at section 11, P1 = ',P1,' rons/in**2');\n",
+ "print'%s %.1f %s'%( 'The pull at section 22, P2 = ',P2,'rons/in**2');\n",
+ "print'%s %.2f %s'%(' The pull at section 33, P3 = ',P3,' rons/in**2');\n",
+ "print'%s %.2f %s'%(' The pull at section 44, P4 = ',P4,' rons/in**2');\n",
+ "if P1 == min(P1,P2,P3,P4) :\n",
+ " print'%s %.2f %s'%(' The maximum possible pull which the flat will safely transmit is P1 = ',P1,' tons/in^2 at section 11');\n",
+ "elif P2 == min(P1,P2,P3,P4):\n",
+ " print'%s %.1f %s'%(' The maximum possible pull which the flat will safely transmit is P2 = ',P2,' tons/in^2 at section 22'); \n",
+ "elif P3 == min(P1,P2,P3,P4): \n",
+ " print'%s %.2f %s'%('The maximum possible pull which the flat will safely transmit is P3 = ',P3,' tons/in^2 at section 33');\n",
+ "else:\n",
+ " print'%s %.2f %s'%(' The maximum possible pull which the flat will safely transmit is P4 = ',P4,' tons/in^2 at section 44'); \n",
+ "\n",
+ "\n",
+ "##there is a minute error in the answer given textbook.\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The number of rivets required, n = 9 \n",
+ " The efficiency of the joint = 90.3 percentage\n",
+ " The pull at section 11, P1 = 48.75 rons/in**2\n",
+ "The pull at section 22, P2 = 49.5 rons/in**2\n",
+ " The pull at section 33, P3 = 56.29 rons/in**2\n",
+ " The pull at section 44, P4 = 74.33 rons/in**2\n",
+ " The maximum possible pull which the flat will safely transmit is P1 = 48.75 tons/in^2 at section 11\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex8-pg437"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate The number of rivets required \n",
+ "P = 150.; ##tons\n",
+ "t = 3./4.;## inches\n",
+ "d = 1.;## inches\n",
+ "f_s = 6.;## tons/in**2\n",
+ "f_b = 12.;## tons/in**2\n",
+ "P_s = 0.25*math.pi*d**2 *f_s;## tons\n",
+ "P_b = t*d*f_b;## tons\n",
+ "n = P/min(P_s,P_b);## no. of rivets required\n",
+ "print'%s %.2f %s %.d %s'%('The number of rivets required, n = ',n,', say ',round(n),'');\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The number of rivets required, n = 31.83 , say 32 \n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex9-pg440\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate The minimum pitch required\n",
+ "l = 50.;## feet\n",
+ "b = 4.;## feet\n",
+ "P = 3.;## tons per foot run\n",
+ "t = 1/2.;## inches\n",
+ "b1 = 4.;## inches\n",
+ "d1 = 4.;## inches\n",
+ "h1 = 1/2.;## inches\n",
+ "d = 7/8.;## inches\n",
+ "f_s = 6.;## tons/in**2\n",
+ "f_b = 12.;## tons/in**2\n",
+ "P_s = 2.*0.25*math.pi*d**2 *f_s;## tons\n",
+ "P_b = t*d*f_b;## tons\n",
+ "R = P_b;## tons\n",
+ "F = l*P*2./d1;## tons\n",
+ "p_min = R*(l-0.5*b1)/F ;## inches\n",
+ "print'%s %.2f %s %.d %s'%('The minimum pitch required is p = ',p_min,' inches, say ',p_min,' inches');\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The minimum pitch required is p = 3.36 inches, say 3 inches\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex10-pg442"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#calculate The maximum shear intensity induced at any rivet\n",
+ "P = 2.4;## tons\n",
+ "e = 18.;## inches\n",
+ "n = 8.;##no. of rivets\n",
+ "d = 7/8.;## inches\n",
+ "h = 4.;## inches\n",
+ "M = P*e;## ton-inches\n",
+ "d1 = 2.;## \n",
+ "d2 = 6.;##\n",
+ "square_r_sum = h*((0.5*h)**2. + d2**2.) + h*((0.5*h)**2 + d1**2.);##\n",
+ "r = math.sqrt(40.);\n",
+ "F = M*r/square_r_sum;## tons\n",
+ "theta = math.atan(d2/d1)##radians\n",
+ "theta1 = theta*180./math.pi## degrees\n",
+ "V = (P/n) + F*math.cos(theta);## tons\n",
+ "H = F*math.sin(theta);## tons\n",
+ "R = math.sqrt(V**2 + H**2);## tons\n",
+ "f_s = R/(0.25*math.pi*d**2);## tons/in**2\n",
+ "print('The maximum shear intensity induced at any rivet is' )\n",
+ "print'%s %.2f %s'%('f_s = ',f_s,' tons/in**2');\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The maximum shear intensity induced at any rivet is\n",
+ "f_s = 2.57 tons/in**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |