A department store plans to construct a one-story building with a rectangular planform. The building is required to have a floor area of 10,000 f2 and a height of 15 ft. It is proposed to use brick walls on three sides and a glass

Sustainable Energy

2nd Edition

ISBN:9781337551663

Author:DUNLAP, Richard A.

Publisher:DUNLAP, Richard A.

Chapter8: Direct Use Of Solar Energy

Section: Chapter Questions

Problem 17P

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Question

A department store plans to construct a one-story building with a rectangular planform. The building is required to have a floor area of 10,000 f2 and a height of 15 ft. It is proposed to use brick walls on three sides and a glass wall on the fourth side. Use the Lagrange multipliers to find the dimensions of the building to minimize the heat loss, assuming that the relative heat losses per unit surface area for the roof, brick wall, glass wall, and floor are in the proportion 3:2:7:1

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