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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 11: Pile Foundations"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.10: 10.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.10\n",
+"clc; funcprot(0);\n",
+"Hp=350;\n",
+"vp=0.0016;\n",
+"Sl=0.762e-3;\n",
+"f=115;\n",
+"Qu=(0.746*Hp+98*vp)/(vp+Sl*f);\n",
+"disp(Qu,'ple load capacity in kN');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.11: 11.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.11\n",
+"clc; funcprot(0);\n",
+"Lg=9.92;\n",
+"Bg=7;\n",
+"n1=3;\n",
+"Nc=8.75;\n",
+"n2=4/1000;\n",
+"Ap=14^2/12^2;\n",
+"cup=1775;\n",
+"a1=0.4;//alpha1\n",
+"p=4*14/12;\n",
+"cu1=1050;\n",
+"L1=15;\n",
+"a2=0.54;//alpha2\n",
+"cu2=1775;\n",
+"L2=45;\n",
+"FS=4;\n",
+"Qu=n1*n2*(9*Ap*cup+a1*p*cu1*L1+a2*p*cu2*L2);\n",
+"Qu2=Lg*Bg*cup*Nc+2*(Lg+Bg)*(cu1*L1+cu2*L2);\n",
+"disp(Qu2/1000,'load in kip')\n",
+"Qall=Qu/FS;\n",
+"disp(Qall,'allowed load in kip');\n",
+"\n",
+""
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.1: 1.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.1\n",
+"clc; funcprot(0);\n",
+"//parta\n",
+"phi=30;\n",
+"pa=2000;\n",
+"q=100*50/1000;\n",
+"Nq=55;\n",
+"Ap=16*16/16/12;\n",
+"Qp=Ap*q*Nq;\n",
+"qp=0.4*pa*Nq*tan(phi*%pi/180)*Ap;\n",
+"disp(qp,'ultimate load in lb');\n",
+"disp(qp/1000,'ultimate load in kip');\n",
+"disp('there is change in answer because of calculation mistake in the book');\n",
+"//partb\n",
+"Nsigma=36;\n",
+"Ap=16*16/12/12;\n",
+"q=110*50/1000;\n",
+"Qp=Ap*q*Nsigma*((1+2*(1-sin(phi*%pi/180)))/3);\n",
+"disp(Qp,'ultimate load in kip');\n",
+"//partc\n",
+"Nq=18.4;\n",
+"Qp=Ap*q*Nq;\n",
+"disp(Qp,'ultimate load in kip');\n",
+""
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.12: 12.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.12\n",
+"clc; funcprot(0);\n",
+"z1=21/2;\n",
+"Lg=9;\n",
+"Bg=6;\n",
+"Qg=500*1000;\n",
+"Cc1=0.3;\n",
+"Cc2=0.2;\n",
+"Cc3=0.25;\n",
+"H2=12;\n",
+"H3=6;\n",
+"H1=21;\n",
+"e1=0.82;\n",
+"e2=0.7;\n",
+"e3=0.75;\n",
+"s1=Qg/(Lg+z1)/(Bg+z1); //sigma1\n",
+"s2=500*1000/(9+27)/(6+27);//sigma2\n",
+"s3=500*1000/(9+36)/(6+36);//sigma3\n",
+"ss1=6*105+(27+21/2)*(115-62.4);//sigmadash1\n",
+"ss2=6*105+(27+21)*(115-62.4)+(120-62.4)*6;//sigmadash2\n",
+"ss3=6*105+48*(115-62.4)+12*(120-62.4)+3*(122-62.4);//sigmadash3\n",
+"sc1=Cc1*H1/(1+e1)*log10((ss1+s1)/ss1);\n",
+"sc2=Cc2*H2/(1+e2)*log10((ss2+s2)/ss2);\n",
+"sc3=Cc3*H3/(1+e3)*log10((ss3+s3)/ss3);\n",
+"sc=sc1+sc2+sc3;\n",
+"disp(sc*12,'total settlement in inch');\n",
+""
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.2: 2.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.2\n",
+"clc; funcprot(0);\n",
+"//parta\n",
+"K=1.3;\n",
+"f0=0;\n",
+"Delta=0.8*30;\n",
+"D=16/12;\n",
+"L1=50;\n",
+"p=4*16/12;\n",
+"Gamma=110/1000;\n",
+"L=15*D;\n",
+"sigma=Gamma*L;\n",
+"f20=K*sigma*tan(Delta*%pi/180);\n",
+"Qs=(f0+f20)/2*(p*L)+f20*p*(L1-L);\n",
+"disp(Qs,'ultimate load in kip');\n",
+"//partb\n",
+"FS=4;\n",
+"Qp=56.45/3+234.7/3+179.9/3;\n",
+"Qu=Qs+Qp;\n",
+"Qall=Qu/FS;\n",
+"disp(Qall,'allowed load in kip');\n",
+""
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.3: 3.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.3\n",
+"clc; funcprot(0);\n",
+"K=0.25;\n",
+"Ap=16*16/12/12;\n",
+"phi=30*%pi/180;\n",
+"Nq=25;\n",
+"q=110*50/1000;\n",
+"sigmao=q/2;\n",
+"p=4*16/12;\n",
+"L=50;\n",
+"FS=4;\n",
+"Qu=q*Nq*Ap+K*sigmao*tan(0.8*phi)*p*L;\n",
+"Qall=Qu/FS;\n",
+"disp(Qall,'allowed load in kip');\n",
+""
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.4: 4.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.4\n",
+"clc; funcprot(0);\n",
+"FS=4;\n",
+"Ap=0.1295;\n",
+"Nc=9;\n",
+"cu2=100;\n",
+"Qp=Ap*Nc*cu2;\n",
+"D=[5, 10, 30];\n",
+"avgD=[2.5, 7.5,20];\n",
+"sigma=[45, 110.5, 228.5];\n",
+"cu=[30, 30, 100];\n",
+"alpha=[0.6 0.9 0.725];\n",
+"L=[5, 5, 20];\n",
+"p=%pi*0.406;\n",
+"Qs=0;\n",
+"disp(Qp,'bering capacity in kN');\n",
+"printf('depth (m)\t avg Depth(m)\t avgVerticalStress(kN/m^2)\t cu(kN/m^2)\t cu/sigma\t alpha\n' )\n",
+"for i=1:3\n",
+" cusig(i)=cu(i)/sigma(i);\n",
+" Qs=Qs+alpha(i)*cu(i)*L(i)*p;\n",
+" printf('%.2f\t %.2f\t %.2f\t\t\t %.2f\t %.2f\t\t %.2f\n',D(i),avgD(i),sigma(i),cu(i),cusig(i),alpha(i));\n",
+"end\n",
+"disp(Qs,'bearing capacity in kN');\n",
+"//part2\n",
+"lambda=0.136;\n",
+"L=30;\n",
+"fav=lambda*(178.48+2*76.7);\n",
+"Qs2=p*L*fav;\n",
+"//part3\n",
+"fav1=13;\n",
+"fav2=31.9;\n",
+"fav3=93.43;\n",
+"Qs3=p*(fav1*5+fav2*5+fav3*20);\n",
+"disp(Qs3,'bearing capacity in kN');\n",
+"Qsavg=Qs/3+Qs2/3+Qs3/3;\n",
+"Qu=Qp+Qsavg\n",
+"Qall=Qu/FS;\n",
+"disp(Qall,'allowed bearing capacity in kN');\n",
+""
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.5: 5.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.5\n",
+"clc; funcprot(0);\n",
+"D=[6, 12, 20];\n",
+"fc=[34.34, 54.94, 70.63];\n",
+"alpha=[0.84, 0.71, 0.63];\n",
+"dL=[6, 6, 8];\n",
+"p=4*0.305;\n",
+"Qs=0;\n",
+"printf(' depth(m)\t fc(kN/m^2)\t alpha \t deltaL(m)\t Q(kN)\n');\n",
+"for i=1:3\n",
+" Q(i)=alpha(i)*fc(i)*p*dL(i);\n",
+" Qs=Q(i)+Qs;\n",
+" printf('%.2f\t\t %.2f\t %.2f\t %.2f\t\t %.2f\n',D(i),fc(i),alpha(i),dL(i),Q(i));\n",
+"end\n",
+"disp(Qs,'bearing force in kN');\n",
+""
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.6: 6.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.6\n",
+"clc; funcprot(0);\n",
+"L=21;\n",
+"Qwp=502-350;\n",
+"Qws=350;\n",
+"Ap=0.1045;\n",
+"Ep=21e6;\n",
+"epsilon=0.62;\n",
+"Se1=(Qwp+epsilon*Qws)*L/Ap/Ep;\n",
+"//part2\n",
+"Iwp=0.85;\n",
+"qwp=152/Ap;\n",
+"Es=25e3;\n",
+"D=0.356;\n",
+"mus=0.35;\n",
+"Se2=qwp*D/Es*Iwp*(1-mus^2);\n",
+"//part3\n",
+"p=1.168;\n",
+"Iws=2+0.35*sqrt(L/D);\n",
+"Se3=Qws/p/L*D/Es*Iws*(1-mus^2);\n",
+"Se=Se1+Se2+Se3;\n",
+"disp(Se*1000,'settlement in mm');\n",
+""
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.7: 7.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.7\n",
+"clc; funcprot(0);\n",
+"Ep=207e6;\n",
+"Ip=123e-6;\n",
+"nh=12000;\n",
+"//from table\n",
+"xz=0.008;\n",
+"Ax=2.435;\n",
+"T=(Ep*Ip/nh)^0.2;\n",
+"Qg1=xz*Ep*Ip/Ax/T^3;\n",
+"//part2\n",
+"Fy=248000;\n",
+"d1=0.254;\n",
+"Am=0.772;\n",
+"Mzmax=Fy*Ip*2/d1;\n",
+"Qg2=Mzmax/Am/T;\n",
+"if Qg2>Qg1 then\n",
+" Qg=Qg1;\n",
+" disp(Qg,'lateral load in kN');\n",
+"end\n",
+""
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.8: 8.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.8\n",
+"clc; funcprot(0);\n",
+"//part1\n",
+"Ep=207e6;\n",
+"Ip=123e-6;\n",
+"nh=12000;\n",
+"//from table\n",
+"xo=0.008;\n",
+"L=25;\n",
+"Fy=248000;\n",
+"D=0.254;\n",
+"Am=0.772;\n",
+"Gamma=18;\n",
+"phi=35;\n",
+"Kp=(tan(%pi/4+phi*%pi/360))^2;\n",
+"My=Fy*Ip*2/D;\n",
+"Qug=140*Kp*D^3*Gamma;\n",
+"\n",
+"//part2\n",
+"Qg1=xo*(Ep*Ip)^0.6*nh^0.4/0.15/L;\n",
+"\n",
+"if Qug>Qg1 then\n",
+" Qg=Qg1;\n",
+" disp(Qg,'lateral load in kN');\n",
+"end\n",
+""
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 11.9: 9.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//example 11.9\n",
+"clc; funcprot(0);\n",
+"Wrh=30*12;\n",
+"E=0.8;\n",
+"Wr=7.5;\n",
+"S=1/8;\n",
+"C=0.1;\n",
+"FS=6;\n",
+"n=0.4;\n",
+"Wp=12/12*12/12*80*150+550;\n",
+"Wp=Wp/1000;\n",
+"Qu=E*Wrh/(S+C)*(Wr+n^2*Wp)/(Wr+Wp);\n",
+"Qall=Qu/FS;\n",
+"disp(Qall,'allowed bearing capacity in kip')\n",
+"//part2\n",
+"He=30*12;\n",
+"L=80*12;\n",
+"Ap=12*12;\n",
+"Ep=3e6/1000;\n",
+"FS=4;\n",
+"Qu=E*He/(S+sqrt(E*He*L/2/Ap/Ep));\n",
+"Qall2=Qu/FS;\n",
+"disp(Qall2,'allowed bearing capacity in kip')\n",
+"\n",
+"//partc\n",
+"a=27;\n",
+"b=1;\n",
+"He=30;\n",
+"FS=3;\n",
+"Qu=a*sqrt(E*He)*(b-log10(S));\n",
+"Qall3=Qu/FS;\n",
+"disp(Qall3,'allowed bearing capacity in kip')\n",
+"\n",
+"\n",
+""
+ ]
+ }
+],
+"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
+}
generated by cgit (git 2.34.1) at 2025-07-12 06:43:19 +0000