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ÏÂÃæÕâ¶Î³ÌÐò£¬Ã»Óп´¶®£¬ËÄܰïæ¿´Ò»Ï°¡ % APPENDIX A: % THERMO-MECHANICAL LOAD-TRANSFER ANALYSIS FOR ENERGY FOUNDATIONS % % This program performs T-z analyses for an energy foundation % under "Thermo-mechanical loading" based on the Beta method. clear all format long e %%---------------------------------------------------------------------- -% %%---------------------------------INPUT PARAMETERS %%---------------------------------------------------------------------- -% %% SOIL DESCRIPTION %% cop = 0.3; %c/p ratio gamsoil = 18;%KN/M3 Phi = 30; %Drained friction angle %% FOUNDATION DESCRIPTION %% L = 10;%m D = 1; %m E = 20000;%MPa gampile = 24;%KN/m3 alphat = 10e-6; %Coeffcient of thermal expansion for R %% MECHANICAL LOADING%% P = 500;%KN %% TEMPERATURE CHANGE %% deltat = 20; %----------------------------------------------------------------------- -% %% BETA METHOD PARAMETERS %% beta =0.55; %Emperical reduction factor k = 65; %emperical coefficient representing the soil resistance to expansion of the foundation %% END BEARING FITTING PARAMETERS ab = 0.02; bb = 0.9; %% SHEAR RESISTANCE FITTING PARAMETERS as = 0.0035; bs = 0.9; %% HEAD-STRUCTURE STIFFNESS Kh=300000;%KN/m (0.5 GPa/m for this case) %% NUMBER OF ELEMENTS %% N = 30; %----------------------------------------------------------------------- -% %% Ab = pi*D^2/4; % m2 - Cross-sectional area Cs = pi*D; %m - Circumference of pile Wpile = gampile*Ab*L; %KN - Weight of pile Wdisp = gamsoil*Ab*L; %kN - Weight of soil displaced Wp = Wpile - Wdisp; %kN - Buoyant unit weight of pile %----------------------------------------------------------------------- -% %----------------------------------------------------------------------- -% %% MECHANICAL TZ ANALYIS BASED ON "P" %% % ULTIMATE SIDE SHEAR RESISTANCE % K0=1-sin(Phi*pi/180); %Coefficient of lateral earth pressure at rest dL =L/N; %m - Length of each soil sublayer h = 0:dL:L; %m - Depth vector, z=0 at ground surface zmid = h(1:length(h)-1)+dL/2; %m - Depth of each soil sublayer sigv = gamsoil*zmid; %m - Effecive vertical stress fsM = beta*sigv*K0*tan(Phi*pi/180); %KN/m2 As = Cs*dL*ones(length(zmid),1);%m2 69 QsM = fsM.*As'; %kN QstotM = sum(QsM); %kN % ULTIMATE END BEARING% sc = 1.2; dc = 1.5; Nc = 5; cub = L*gamsoil*cop; %KN/m2 Qp = cub*Ab*sc*dc*Nc; %kN % ULTIMATE CAPACITY QuM = Qp + QstotM - Wp; %kN n = 1:1:N; Li = L/N; %m z = Li*(n-.5); %m Ki = Ab*E*1000/Li; %KN/m QbM = zeros(N,1); QtM = zeros(N,1); FsM = zeros(N,1); FsmaxM = zeros(N,1); pbM = zeros(N,1); ptM = zeros(N,1); psM = zeros(N,1); QaveM = zeros(N,1); deltaM = zeros(N,1); sM = zeros(N,1); sigmaM = zeros(N,1); pb = 0; Dtot = 100; tol = 1e-6; PDif = 500; % Previous Difference CDif = 500; % Current Difference FsmaxM(1)=QsM(1); for k=2:1:N FsmaxM(k)=FsmaxM(k-1)+QsM(k); end wxyz = 0; while abs(CDif)<= abs(PDif) wxyz = wxyz + 1; for i = N:-1:1 if i == N deltaQt = 10; %Initialize while loop QtM(i) = 0; pbM(i) = pb; QbM(i)=Qp*pbM(i)/(ab+pbM(i)*bb); %QbM(i)=0; while deltaQt > tol QaveM(i) = (QtM(i)+QbM(i))/2; deltaM(i) = QaveM(i)/Ki; ptM(i) = pbM(i) + deltaM(i); psM(i) = pbM(i) + deltaM(i)/2; % pt +(pt-pb)/2; FsM(i) = FsmaxM(i)*psM(i)/(as+psM(i)*bs); QtnewM(i) = FsM(i) + QbM(i); deltaQt = QtnewM(i) - QtM(i); QtM(i) = QtnewM(i); sM(i) = deltaM(i)*1e6/Li;% micro starin sigmaM(i) = QaveM(i)/Ab; end else deltaQt = 10; %Initialize while loop pbM(i) = ptM(i+1); QbM(i) = QtM(i+1); 70 QtM(i) = 0; while deltaQt > tol QaveM(i) = (QtM(i)+QbM(i))/2; deltaM(i) = QaveM(i)/Ki; ptM(i) = pbM(i) + deltaM(i); psM(i) = pbM(i) + deltaM(i)/2; FsM(i)=FsmaxM(i)*psM(i)/(as+psM(i)*bs); QtnewM(i) = FsM(i) + QbM(i); deltaQt = QtnewM(i) - QtM(i); QtM(i) = QtnewM(i); sM(i) = deltaM(i)*1e6/Li; sigmaM(i) = QaveM(i)/Ab; end end end i=1:1:N; FsMtot = sum(FsM(i)); PDif = CDif; CDif = P-FsMtot-QbM(N); disp('CDif'); disp(CDif); disp('PDif'); disp(PDif); pb=pb+1e-6; end pb=pb-1e-6; disp('pb'); disp(pb); |
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