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Diffstat (limited to '3772/CH15/EX15.11/Ex15_11.sce')
-rw-r--r-- | 3772/CH15/EX15.11/Ex15_11.sce | 46 |
1 files changed, 46 insertions, 0 deletions
diff --git a/3772/CH15/EX15.11/Ex15_11.sce b/3772/CH15/EX15.11/Ex15_11.sce new file mode 100644 index 000000000..d0f9002b0 --- /dev/null +++ b/3772/CH15/EX15.11/Ex15_11.sce @@ -0,0 +1,46 @@ +// Problem no 15.11,Page no.358 + +clc; +clear; +close; + + +d=0.3 //m //Diameter +D=0.003 //m //Diameter of steel wire +t=0.006 //m //thickness +sigma_w=8*10**6 //Pa //Stress +p=1*10**6 //Pa //Internal pressure +E_s=200*10**9 //Pa //Modulus of Elasticity for steel +E_c=100*10**9 //Pa //Modulus of Elasticity for cast iron +m=1*0.3**-1 + +//Calculations + +sigma_p=(sigma_w*%pi*2**-1*d)*(2*t)**-1 //compressive hoop stress +sigma_l=p*d*(4*t)**-1 //Longitudinal stress + +//when internal presure is apllied Let sigma_w_1=Tensile in wire and sigma_p_1=tensile hoop in wire +//sigma_p_1*2*t+sigma_w_1*2*d**-1*%pi*4**-1*d**2=p*D + +//After substituting values and further simplifying we get +//1.2*sigma_p_1+0.471*sigma_w_1=3000 Equation 1 + +//1*E_c**-1(sigma_p_1-sigma_1*m**-1+sigma_p)=1*E_s**-1(sigma_w_1-sigma_w) + +//After substituting values and further simplifying we get +//sigma_p_1-0.5*sigma_w_1=1.36*10**6 +//sigma_p_1=0.5*sigma_w_1-3.39*10**6 Equation 2 + +//From Equation 2 substituting value of sigma_p_1 in Equation 1 + + +sigma_w_1=(40.68*10**3+0.3*10**6)*(10.71238*10**-3)**-1 +sigma_p_1=0.5*sigma_w_1-3.39*10**6 + +//Let X=sigma_p_1 and Y=sigma_w_1 +X=sigma_p_1*10**-6 //MPa //Stresses in %pipe +Y=sigma_w_1*10**-6 //MPa //Stresses in wire + +//Result +printf("Stress in the pipe is %.2f",X);printf(" MN/m**2") +printf("\n Stress in the wire is %.2f",Y);printf(" MN/m**2") |