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You have three 24 ft long wooden 2x6's and you want to nail them together them to make the stiffest possible beam. The stiffness

You have three 24 ft long wooden 2x6's and you want to nail them together them to make the stiffest possible

You have three 24 ft long wooden 2x6's and you want to nail them together them to make the stiffest possible beam. The stiffness of a beam is proportional to the moment of inertia of the beam's cross- section about a horizontal axis passing through its centroid. The actual dimensions of nominal 2x6 lumber are 1.5 in. by 5.5 in. Calculate the moment of inertia about the centroidal x-axis for each of the following beam configurations. Which configuration will be the stiffest? #IA Config b Config a COG Config c

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