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Diffstat (limited to '3772/CH9/EX9.1/Ex9_1.sce')
-rw-r--r-- | 3772/CH9/EX9.1/Ex9_1.sce | 31 |
1 files changed, 31 insertions, 0 deletions
diff --git a/3772/CH9/EX9.1/Ex9_1.sce b/3772/CH9/EX9.1/Ex9_1.sce new file mode 100644 index 000000000..83a678291 --- /dev/null +++ b/3772/CH9/EX9.1/Ex9_1.sce @@ -0,0 +1,31 @@ +// Problem no 9.1,Page no.232 + +clc;clear; +close; + +D=15 //cm //External Diameter +t=2 //cm //Thickness +L=6 //m //Length of cyclinder +E=80*10**9 //Pa +alpha=1*1600**-1 +sigma_c=550*10**6 //Pa //compressive stress + +//Calculations + +d=D-2*t //m //Internal Diameter +A=%pi*4**-1*(D**2-d**2)*10**-4 //m**2 //Areaof Tube +I=%pi*64**-1*(D**4-d**4)*10**-4 //m**4 //M.I of tube +k=(I*A**-1)**0.5 //m //Radius of Gyration + +P_e=%pi**2*E*I*(L**2)**-1 //Euler's Load +P_R=sigma_c*A*(1+alpha*(L*k**-1)**2)**-1 //According to Rankine's Formula + +//The Answer in Textbook is incorrect for P_R + +//Now again from Rankine's Formula +//As K=I*A**-1,so substituting in below equation +//Thus Stress calculated from Euler's Formula cannot exceed the yield stress of 550 MPa +L=(%pi**2*E*k**2*(550*10**6)**-1)**0.5*10**-2 //m //Length of cyclinder + +//Result +printf("The Length of strut is %.2f",L);printf(" cm") |