initial commit / add all books

1 files changed, 44 insertions, 0 deletions

diff --git a/3588/CH7/EX7.1/EX7_1.sce b/3588/CH7/EX7.1/EX7_1.sce
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+//Clearing console
+clc
+clear
+
+//Intializing Variables
+d = 0.06
+k1 = 200
+k2 = 389
+L = 0.5
+T(5,1) = 80
+Q(1:4,1) = ((%pi*d^2)/4)*[4000;0;0;0]
+A = (%pi*d^2)/4
+
+//Calculating elemental stiffness matrices
+function K= matri(k,A,L)
+    K=[(7*k*A)/(3*L) -(8*k*A)/(3*L) (k*A)/(3*L);-(8*k*A)/(3*L) (16*k*A)/(3*L) -(8*k*A)/(3*L);(k*A)/(3*L) -(8*k*A)/(3*L) (7*k*A)/(3*L)]
+endfunction
+
+K1 = matri(k1,A,L)
+K2 = matri(k2,A,L)
+
+//Calculating global stiffness matrice
+K(1,1:5) = [K1(1,1:3) 0 0]
+K(2,1:5) = [K1(2,1:3) 0 0]
+K(3,1:5) = [K1(3,1) K1(3,2) K1(3,3)+K2(1,1) K2(1,2:3)]
+K(4,1:5) = [0 0 K2(2,1:3)]
+K(5,1:5) = [0 0 K2(3,1:3)]
+
+//Accounting for T5 = 80◦C and Calculating Qd
+Qd(1:4,1) = Q(1:4,1)-T(5,1)*K(1:4,5)
+
+//Solving for Temperatures
+T(1:4,1)=linsolve(K(1:4,1:4),-Qd(1:4,1))
+
+//Sovling for heat at node 5
+Q(5,1) = K(5,1:5)*T
+
+//Sovling for heat flux at node 5
+q5 = - Q(5,1)/((%pi*d^2)/4)
+
+//Printing Results
+printf('\nResults\n')
+printf('\nNode-Temperatures \nT1=%f◦C \nT2=%f◦C \nT3=%f◦C \nT4=%f◦C \nT5=%f◦C',T(1,1),T(2,1),T(3,1),T(4,1),T(5,1))
+printf('\nHeat flow at node-5 \nq5=%fW/m^2',q5)