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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+// Problem no 13.8,Page No.307
+
+clc;clear;
+close;
+
+b=15 //cm //width of plank
+t=2.5 //cm //thickness of planf
+F_1=1250 //N //Shear Force
+F_2=5*10**3 //shaear force transmitted by screw
+d=15 //cm //Depth of plank
+D=20 //cm //Overall depth
+
+//Calculations
+
+Y=D*2**-1 //C.G of beam
+y_1=t*2**-1 //C.G of flange
+
+I=((b*D**3)-(D*2**-1*b**3))*12**-1 //cm**4 //M.I
+
+//Shear Stress in the Flange at 7.5 cm from N.A
+X_1=F_2*b*t*(Y-y_1)*10**-6*(I*10**-8*d*10**-2)**-1*10**-3
+
+//Shear Stress in the web at 7.5 cm from N.A
+X_2=X_1*d*(2*t)**-1
+
+//shear stress at N.A
+X_max=F_2*(b*t*(Y-y_1)+2*t*d*2**-1*d*4**-1)*10**-6*(I*10**-8*2*t*10**-2)**-1*10**-3
+
+//horizontal shear force per %pitch length to the shearing strength of two bolts we have
+//X_h=X_2*10**3*2*t*10**-2*p
+
+//Equating horizontal shear force per %pitch length to the shearing strength of two bolts we have
+p=F_1*2*(X_2*10**3*2*t*10**-2)**-1*10**2
+
+//Result
+printf("The Min spacing of screw along the beam is %.2f",p);printf(" cm")