Floor joists are beams loaded in bending. They can be made of wood, of steel, or of

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Floor joists are beams loaded in bending. They can be made of wood, of steel, or of steelreinforced concrete, with the shape factors listed below. For a given bending stiffness and strength, which of these carries the lowest production-energy burden?

a. Start with stiffness. Locate from Eq. (10.20) of the text the material index for stiffness-limited, shaped beams of minimum mass. Adapt this to make the index for stiffness-limited, shaped beams of embodied energy by multiplying density \(ho\) by the embodied energy \(/ \mathrm{kg}, H_{p}\). Use the modified index to rank the three beams.

b. Repeat the procedure, this time for strength, creating the appropriate index for strength-limited shaped beams at minimum energy content by adapting.

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Data From Equation (10.20)

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