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// Problem no 13.7,Page No.306
clc;clear;
close;
L=3 //m //span
d=5 //cm //depth of each plank
b=15 //cm //width of plank
d_1=1.9 //cm //Diameter of bolt
s=12.5 //cm //spacing of bolt
w=3.3*10**3 //N.m //u.d.l
//Calculations
//Shear Force at 1.5m from support
F=w*1.5
I=b*(5*d)**3*12**-1 //M.I
A=%pi*4**-1*d_1**2 //area of Bolt
Y=5*d*2**-1 //C.G of beam
y_1=d*2**-1 //c.G of top plank
//Shear Force per metre Length
F_1=F*b*d*(Y-y_1)*10**-6*(I*10**-8)**-1
//Load carried by bolt
W_1=F_1*s*10**-2
//shear stress
X_1=W_1*A**-1*10**+4
//Shear Force per metre Length
F_2=F*b*2*d*((d+y_1)-Y*10**-6)*(I*10**-8)**-1*10**-6
//Load carried by bolt
W_2=F_2*s*10**-2
//shear stress
X_2=W_2*(A*10**-4)**-1*10**-3
//Reult
printf("Shear stress in a bolt Located at 1.5 m from support is %.2f",X_2);printf(" KN/m**2")
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