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ID: 2995012 • Letter: I
Question
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A simply supported basswood beam shown below
is 96 inches long and carries a load of 525 pounds. It has an I cross-section as shown
where b = 5 inches, h = 6 inches, and t = 1.5 inches. Basswood has the following material properties: Modulus of Elasticity = 10x106psi and Density = 165 lbm/ft3. Find the deflection.
Deflection = ____ inces
Explanation / Answer
Moment of inertia, Ix for this I Beam = 82.125in^4
Deflection Equation = -(FL^3)/(48EI)
Deflection = y = -(525*96^3)/(48*10E6*82.125) = -.011783in , or .011783in in the downward y direction.
Modeling this beam deflection scenario using Solidworks FEA, max deflection = -.01233in, which shows a percent error between the two methods of 4.64%, which is okay.
Beam deflection formula is the theoretical answer, so the correct answer is deflection = -.011783in , or .011783in in the downward y direction.