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Diffstat (limited to '3772/CH14/EX14.1')
-rw-r--r-- | 3772/CH14/EX14.1/Ex14_1.sce | 49 |
1 files changed, 49 insertions, 0 deletions
diff --git a/3772/CH14/EX14.1/Ex14_1.sce b/3772/CH14/EX14.1/Ex14_1.sce new file mode 100644 index 000000000..ece91e449 --- /dev/null +++ b/3772/CH14/EX14.1/Ex14_1.sce @@ -0,0 +1,49 @@ +// Problem no 14.1,Page No.325 + +clc;clear; +close; +b=2 //m //width +FOS=1.5 //Factor of safety +//rho_mason=2.5*rho_w +mu=0.5 //coeffeicient of friction + +//Calculations + +//Let L=1 m (length of dam) +L=1 +//W=b*H*L*rho +//After substituting values and Further simplifying we get +//W=2*H*rho + +//Total Pressure +//P=W*H**2*2**-1 + +x_bar=b*2**-1 //Distance of Line of action of W from waterface + +//Distance of pt where resultant cuts the base measured from Line of action +//x=P*W**-1*H*3**-1 +//After substituting values and Further simplifying we get +//x=H**2*30**-1 + +//x_bar+x=2*b*3**-1 +//After substituting values and Further simplifying we get +//1+H**2*30**-1=2*b*3**-1 +H=(30*(2*b*3**-1-1))**0.5 //height of dam + +//Frictional Resistance offered at the base +//F=mu*W +//After substituting values and Further simplifying we get +//F=3.16*rho + +//Total Lateral Pressure +//P=W*H**2*2**-1 +//P=4.99*W + +//Factor of safety against sliding +//FOS1=F*P**-1=3.16*4.99**-1*rho_mason*rho_w**-1 +FOS1=3.16*4.99**-1*2.5 + +//FOS1>FOS + +//Result +printf("Dam is safe against sliding = %.2f m",FOS1) |