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diff --git a/Hydraulics_Made_Easy_by_R_S_Dighe/1-Hydrostatics.ipynb b/Hydraulics_Made_Easy_by_R_S_Dighe/1-Hydrostatics.ipynb new file mode 100644 index 0000000..1f2c6e1 --- /dev/null +++ b/Hydraulics_Made_Easy_by_R_S_Dighe/1-Hydrostatics.ipynb @@ -0,0 +1,759 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 1: Hydrostatics" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.10: example_10.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"//initialisation of variables\n", +"w= 3 //ft\n", +"h= 15 //ft\n", +"d= 140 //lbs/ft^3\n", +"x= 6 //in\n", +"W= 62.4 //lbs/ft^3\n", +"//CALCULATIONS\n", +"W1= h*w*d\n", +"h= (W1*x*6/(W*12))^(1/3)\n", +"//RESULTS\n", +"printf (' height of water rise = %.2f ft',h)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.11: example_11.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"h= 5 //ft\n", +"d= 6 //ft\n", +"a= 30 //degrees\n", +"w= 62.4 //lbs/ft^3\n", +"//CALCULATIONS\n", +"A= %pi*d^2/4\n", +"X= h+(d/2)*sind(a)\n", +"P= w*A*X\n", +"Ic= %pi*d^4/64\n", +"I0= Ic+A*X^2/(sind(a))^2\n", +"h= I0*(sind(a))^2/(A*X)\n", +"//CALCULATIONS\n", +"printf ('depth of the centre os pressure= %.2f ft ',h)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.12: example_12.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"w= 4 //ft\n", +"l= 4 //ft\n", +"X= 10 //ft\n", +"a= 45 //degrees\n", +"W= 100 //lbs\n", +"a1= 60 //degrees\n", +"w1= 62.4 //lbs/ft^3\n", +"//CALCULATIONS\n", +"A= w*l\n", +"X1= X+(w/2)*sind(a)\n", +"Ig= w*l^3/12\n", +"I0= Ig+(A*X1^2/(sind(a))^2)\n", +"h= I0*(sind(a))^2/(A*X1)\n", +"P= w1*A*X1\n", +"h1= h-X\n", +"h2= h1/sind(a)\n", +"T= (W*(l/2)*sind(a)+P*h2)/(w*sind(a1))\n", +"//RESULTS\n", +"printf ('Pull in the chain= %.f lbs ',T)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.13: example_13.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"\n", +"clc \n", +"//initialisation of variables\n", +"w= 4 //ft\n", +"l= 4 //ft\n", +"X= 10 //ft\n", +"a = 45 //degrees\n", +"W= 62.4 //lbs/ft^3\n", +"u= 0.25\n", +"//CALCULATIONS\n", +"A= w*l\n", +"X1= X+(w/2)*sind(a)\n", +"P= W*A*X1\n", +"T= u*P\n", +"//RESULTS\n", +"printf ('magnitude of the lifting force= %.f lbs ',T) " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.14: example_14.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"w= 62.4 //lbs/ft^3\n", +"sg= 1.6\n", +"h= 10 //ft\n", +"h1= 4 //ft\n", +"//CALCULATIONS\n", +"D= w*sg\n", +"W= w*(h+h1)^2/2\n", +"P= w*h\n", +"P1= D*h1\n", +"P2= (P*h/2)+P*h1+(h1*P1/2)\n", +"y= ((P*h*(h1+(h/3))/2)+P*h1*(h1/2)+P1*h1^2/6)/P2\n", +"//RESULTS\n", +"printf ('Position where P acts= %.1f ft above the base',y) " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.15: example_15.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"pa= 10 //lbs/in^2\n", +"h= 8 //ft\n", +"h1= 6 //ft\n", +"w= 62.4 //lbs/ft^3\n", +"pg= 10 //lbs/in^2\n", +"//CALCULATIONS\n", +"Pa= pa*144\n", +"Pa1= w*h1\n", +"Pt= (Pa*h+Pa1*(h1/2))\n", +"y= (Pa*h*(h/2)+(Pa1*h1*(h-h1)/2))/Pt\n", +"//RESULTS\n", +"printf ('Depth of the centre of pressure= %.2f ft from the base',y) " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.16: example_16.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"d= 4 //ft\n", +"h= 6 //in\n", +"//CALCULATIONS\n", +"A= %pi*d^2/4\n", +"X= (h-d)\n", +"I0= (%pi*d^4/64)+4*%pi*(X)^2\n", +"h1= I0/(A*X)\n", +"h2= d-h1\n", +"//RESULTS\n", +"printf ('Depth of the axis be placed in order= %.1f ft ',h2) " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.17: example_17.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"h= 10 //ft\n", +"//CALCULATIONS\n", +"x= sqrt(h^2/2)\n", +"//RESULTS\n", +"printf ('Depth of the axis be placed in order= %.2f ft ',x) " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.18: example_18.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"h= 8 //ft\n", +"h1= 10 //ft\n", +"//CALCULATIONS\n", +"A= h\n", +"X= (h1/2)\n", +"Ig= h^3/12\n", +"I0= Ig+A*X^2\n", +"h2= I0/(A*X)\n", +"//RESULTS\n", +"printf ('depth at which the hinge of the shutter= %.2f ft ',h2)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.19: example_19.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"k1= 1 //ft\n", +"k2= 35.98 //ft\n", +"k3= 66.83 //ft\n", +"//CALCULATIONS\n", +"x=poly(0,'x')\n", +"vec=roots(k1*x^3-k2*x+k3)\n", +"X= vec (2)\n", +"//RESULTS\n", +"printf ('depth of the water= %.2f ft',X)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.1: example_1.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"//initialisation of variables\n", +"Ar= 50 //in^2\n", +"Ap= 1/8 //in^2\n", +"Wp= 5 //lbs\n", +"//CALCULATIONS\n", +"Pp= Wp/Ap\n", +"F= Pp*Ar\n", +"//RESULTS\n", +"printf ('weight supported by ram = %.f lbs',F)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.22: example_22.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"d= 8 //ft\n", +"d1= 2 //ft\n", +"h= 4 //ft\n", +"h1= 2 //ft\n", +"w= 62.4 //lbs/ft^3\n", +"//CALCULATIONS\n", +"A1= %pi*d^2/4\n", +"A2= %pi*d1^2/4\n", +"A= A1-A2\n", +"x= (A1*d-A2*(d+h-h1))/A\n", +"P= w*A*x\n", +"Ig= ((%pi*d^4/64)+(A1*(d-x)^2))-((%pi*d1^4/64)+(A2*(h1+d-x)^2))\n", +"h2= (Ig/(A*x))+x\n", +"//RESULTS\n", +"printf ('depth of the centre of the pressure= %.1f ft ',h2)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.25: example_25.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"W= 62.4 //lbs/ft^3\n", +"a= 140 //degrees\n", +"h= 20 //ft\n", +"w= 6 //ft\n", +"h1= 17 //ft\n", +"h2= 5 //ft\n", +"//CALCULATIONS\n", +"P1= W*h1^2*w/2\n", +"P2= W*h2^2*w/2\n", +"P= P1-P2\n", +"y= (P1*(h1/3)-P2*(h2/3))/P\n", +"R= P/(2*sind((180-a)/2))\n", +"Rt= y*R/h\n", +"Rb= R-Rt\n", +"//RESULTS\n", +"printf ('Rt= %.f lbs ',Rt)\n", +"printf ('\n Rb= %.f lbs ',Rb)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.26: example_26.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"w= 64 //lbs/ft^3\n", +"h= 12 //ft\n", +"l= 9 //ft\n", +"a= 45 //degrees\n", +"//CALCULATIONS\n", +"P= w*h^2/2\n", +"h1= h/3\n", +"Rb= P*h1/l\n", +"Ra= P-Rb\n", +"Wh= Rb*h1\n", +"T= Wh/sind(a)\n", +"//RESULTS\n", +"printf ('Load on the strut= %.f lbs ',T)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.27: example_27.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"w= 62.4 //lbs/ft^3\n", +"h= 9 //ft\n", +"l= 10 //ft\n", +"//CALCULATIONS\n", +"P= w*h^2/2\n", +"h1= h/3\n", +"Ra= P/2\n", +"x= (w*4*h^2/9)/Ra\n", +"x1= x+(h/3)\n", +"hb= h1-x\n", +"W= Ra*l\n", +"//RESULTS\n", +"printf ('magnitude od total in each beam= %.f lbs ',W)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.2: example_2.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"//initialisation of variables\n", +"Dp= 1 //in\n", +"Dr= 10 //in\n", +"R= 12 \n", +"W= 15 //tons\n", +"//CALCULATIONS\n", +"Ar= %pi*Dr^2/4\n", +"Ap= %pi*Dp^2/4\n", +"P= W*2240/((Ar/Ap)*R)\n", +"//RESULTS\n", +"printf ('power applied to lever = %.f lbs',P)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.3: example_3.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"//initialisation of variables\n", +"Dj= 1 //in\n", +"Dr= 2 //in\n", +"W= 40 //lbs\n", +"W1= 1 //ton\n", +"rl= 20\n", +"//CALCULATIONS\n", +"Ap= %pi*Dj^2/4\n", +"Ar= %pi*Dr^2/4\n", +"Vrj= rl*Ar/Ap\n", +"e= W1*2240*100/(W*Vrj)\n", +"//RESULTS\n", +"printf ('efficiency of machine at this load = %.f percent',e)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.4: example_4.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"//initialisation of variables\n", +"Dj= 1 //in\n", +"Dr= 2 //in\n", +"ns= 3 //strokes\n", +"h= 2 //ft\n", +"//CALCULATIONS\n", +"Ap= %pi*Dj^2/4\n", +"Ar= %pi*Dr^2/4\n", +"Vrj= Ar/Ap\n", +"ns1= h*12*Vrj/ns\n", +"//RESULTS\n", +"printf (' working strokes = %.f strokes',ns1)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.5: example_5.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"//initialisation of variables\n", +"T= 40 //F\n", +"w= 62.4 //lbs/ft^3\n", +"h= 50 //ft\n", +"//CALCULATIONS\n", +"p= w*h/(12^2)\n", +"//RESULTS\n", +"printf (' pressure at a depth of 50 ft = %.2f lbs per in',p)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.6: example_6.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"//initialisation of variables\n", +"W= 64 //lbs/ft^3\n", +"h1= 27 //ft\n", +"h2= 9 //ft\n", +"w= 40 //ft\n", +"//CALCULATIONS\n", +"Pr= w*W*h1*h1/2\n", +"Pl= w*W*h2*h2/2\n", +"y1= h1/3\n", +"y2= h2/3\n", +"y= (Pr*y1-Pl*y2)/(Pr-Pl)\n", +"//RESULTS\n", +"printf (' point of application = %.2f ft',y)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.7: example_7.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"//initialisation of variables\n", +"d= 5 //ft\n", +"x= 3 //ft\n", +"w= 62.4 //lb/ft^3\n", +"a= 90 //degrees\n", +"//CALCULATIONS\n", +"h= ((%pi*d^4/64)+(x^2*%pi*d^2/4))/(%pi*d^2*x/4)\n", +"//RESULTS\n", +"printf ('depth of the pressure= %.2f ft',h)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.8: example_8.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"//initialisation of variables\n", +"w= 3 //ft\n", +"h= 4 //ft\n", +"ht= 30 //ft\n", +"W= 62.4 //ft^3\n", +"//CALCULATIONS\n", +"Ap= w*h\n", +"X= ht+(h/2)\n", +"P= Ap*X*W\n", +"I0= (w*h^3/12)+Ap*X^2\n", +"H= I0/(Ap*X)\n", +"//RESULTS\n", +"printf (' total pressure on the gate = %.2f ft',H)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.9: example_9.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"//initialisation of variables\n", +"w= 3 //ft\n", +"h= 4 //ft\n", +"ht= 30 //ft\n", +"W= 62.4 //ft^3\n", +"x= 2.22 //in\n", +"x1= 4.5 //in\n", +"//CALCULATIONS\n", +"Ap= w*h\n", +"X= ht+(h/2)\n", +"P= Ap*X*W\n", +"T= P*x/x1\n", +"T1= P-T\n", +"//RESULTS\n", +"printf (' tension devoloped in the top bolt = %.f lbs',T)\n", +"printf (' \n tension devoloped in the bottom bolt = %.f lbs',T1)" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |