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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:7d21feb46ef90fdbbfbaad4563a2c375000b58700df6f4805ecd9fd8506686a5"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 8:Shear Stresses in Beams"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 8.6,page no.355"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ "#Given\n",
+ "#Variable declaration\n",
+ "D=100 #Diameter in mm\n",
+ "R=D/2 #Radius in mm\n",
+ "F=5*10**3 #Shear force in N\n",
+ "y=40 #given distance from N.A. in mm\n",
+ "\n",
+ "#Calculation\n",
+ "#case(i):Average shear stress \n",
+ "A=math.pi*R**2\n",
+ "tau_avg=round(F/A,4)\n",
+ "#case(ii):Maximum shear stress for a circular section\n",
+ "tau_max=round(4/3*tau_avg,4)\n",
+ "#case(iii):Shear stress at a distance 40mm from N.A.\n",
+ "I=math.pi/64*D**4\n",
+ "tau=float(str(F/(3*I)*(R**2-y**2))[:6])\n",
+ "\n",
+ "#Result\n",
+ "print \"Average shear stress =\",tau_avg,\"N/mm^2\"\n",
+ "print \"Maximum shear stress =\",tau_max,\"N/mm^2\"\n",
+ "print \"Shear stress at a distance 40mm from N.A. =\",tau,\"N/mm^2\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Average shear stress = 0.6366 N/mm^2\n",
+ "Maximum shear stress = 0.8488 N/mm^2\n",
+ "Shear stress at a distance 40mm from N.A. = 0.3055 N/mm^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 8.12,page no.369"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#Given\n",
+ "#Variable declaration\n",
+ "F=50*10**3 #Shear force in N\n",
+ "b=250 #Base width in mm\n",
+ "h=200 #height in mm\n",
+ "\n",
+ "#Calculation\n",
+ "tau_max=int((3*F)/(b*h)) #Maximum shear stress in N/sq.mm\n",
+ "tau=round((8*F)/(3*b*h),2) #Shear stress at N.A. in N/sq.mm\n",
+ "\n",
+ "#Result\n",
+ "print \"Maximum shear stress =\",tau_max,\"N/mm^2\"\n",
+ "print \"Shear stress at N.A. =\",tau,\"N/mm^2\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Maximum shear stress = 3 N/mm^2\n",
+ "Shear stress at N.A. = 2.67 N/mm^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file