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author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
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committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /3772/CH12/EX12.3/Ex12_3.sce | |
parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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diff --git a/3772/CH12/EX12.3/Ex12_3.sce b/3772/CH12/EX12.3/Ex12_3.sce new file mode 100644 index 000000000..4fb5ae117 --- /dev/null +++ b/3772/CH12/EX12.3/Ex12_3.sce @@ -0,0 +1,40 @@ +// Problem no 12.3,Page No.287 + +clc;clear; +close; + +L=6 //m //span of beam +w=30*10**3 //KN/m //u.d.l +P=160*10**3 //N //concentrated Load + +//Calculations + +//Consider a section at a distance x from the fixed end A and B.M at x +//M_x=R_b*(6-x)-30*2**-1*(6-x)**2-160*(3-x) + +//E*I*d**2y*(dx**2)**-1=-M_x=-R_b*(6-x)+15*(6-x)+160*(3-x) + +//Now Integrating above term we get +//E*I*dy*(dx)**-1=R_b*2**-1*(6-x)**2-5*(6-x)**3-80*(3-x)**2+C_1 (Equation 1) + +//Now on Integrating we get +//E*I*y=-R_b*6**-1*(6-x)**3+5*4**-1*(6-x)**2+80*3**-1*(3-x)**3+C_1*x+C_2 (Equation 2) + +//At x=0,dy*dx**-1=0 +//substituting in equation 1 we get +//C_1=1800-R_b + +//At x=0,y=0 +//substituting in equation 2 we get +//C_2=36*R_b-2340 + +//At x=6,y=0 +R_b=72**-1*(10800-2340) + +//At x=0 +x=0 +M_x=R_b*(6-x)-30*2**-1*(6-x)**2-160*(3-x) + +//Result +printf("Bending Moment at A is %.2f",M_x);printf(" KNm") +printf("\n The Reaction at B %.2f",R_b);printf(" KN") |