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+// Problem no 12.4,Page No.288
+
+clc;clear;
+close;
+
+L=4 //span of beam
+w_1=20*10**3 //Nm //u.d.l
+w_2=30*10**3 //Nm //u.d.l
+
+//Calculations
+
+//consider a section at a distance x from A and B.M at this section is 
+//M_x=R_b*(3-x)-10*x**2+90*x-195
+
+//Now integrating above equation we get
+//E*I*dy*(dx)**-1=-R_b(3*x-x**2*2**-1)+10*x**3*3**-1-45*x**2+195*x+C_1
+
+//again on Integrating we get
+//E*I*y=-R_b*(3*x**2*2**-1-x**3*6**-1)+10*x**4*12**-1-15*x**3+195*x**2*2**-1+C_1*x+C_2
+
+//At x=0,dy*(dx)**-1=0  Therefore C_1=0
+
+//At x=0,y=0  Therefore C_2=0
+
+//At x=3m, y=0
+x=3
+C_1=0
+C_2=0
+R_b=-(-10*x**4*12**-1+15*x**3-195*x**2*2**-1-C_1*x-C_2)*(3*x**2*2**-1-x**3*6**-1)**-1
+
+//result
+printf("Load taken by prop is %.2f",R_b);printf(" KN")