Three planks measuring d=1.25 in x b=3.75 in are screwed together to form a beam
ID: 2263082 • Letter: T
Question
Three planks measuring d=1.25 in x b=3.75 in are screwed together to form a beam as shown. Screw spacing sp= 5 inches. If the maximum allowable shear force per nail is 425 lbs, determine the maximum allowable vertical shear in the beam.
Izz=________________
Q=_____________________
Vmax=__________________________
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Three planks measuring d=1.25 in x b=3.75 in are screwed together to form a beam as shown. Screw spacing sp= 5 inches. If the maximum allowable shear force per nail is 425 lbs, determine the maximum allowable vertical shear in the beam.Explanation / Answer
I = (1/12)*b*h^3 = (1/12)*b*(3*d)^3 => I = (1/12)*3.75*(3*1.25)^3 => I = 16.479 inch^4 A = 3.75 * 1.25 = 4.6875 inch^2 y1 = 1.25 inch Q = A *y1 = 5.86 inch^3 q = VQ/I => q = V*5.86/16.479 q*s = 2*F(nail) => (5.86*V/16.479)*5 = 2*425 => V = 478.06 lbs
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