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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")
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