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clear
//Given
M = 10 //KN-m moment
v = 8.0 //KN - shear Stress
stress_allow = 8 //MPa - The maximum allowable stress
shear_allow_per = 1.4 //MPa - The allowable stress perpendicular to grain
stress_allow_shear = 0.7 //MPa - The maximum allowable shear stress
//calculations
S = M*(10**6)/stress_allow //mm3
//lets arbitarly assume h = 2b
//S = b*(h**2)/6
h = (1.25*(10**6)*12)**(1/3) //The depth of the beam
b = h/2 //mm The width of the beam
A = 140*240 //sq.mm The area of the crossection , assumption
stress_shear = 3*v*(10**3)/(2*A) //MPa The strear stress
if stress_shear<stress_allow_shear then
printf("The stress developed %0.2f is in allowable ranges for %0.2f sq.mm area",stress_shear,A)
else
printf("The stress developed %0.3f is in non allowable ranges %0.3f area",stress_shear,A)
end
Area_allow = v*(10**3)/shear_allow_per //mm - the allowable area
printf("\n The minimum area is %0.3f sq.mm",Area_allow )
//answer varies due to rounding off errors
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