4.1 Consider the design of a "light shelf" for the south side of an office building located at a site with latitude 30°. The idea is that the light shelf should help keep direct sunlight from entering the office. It also bounces light up onto the ceiling to distribute natural daylight more uniformly into the office. 2 ft 4 ft X₁ Upper window X₂ Light /shelf Lower window S FIGURE P4.1 And Not allowed As shown, the window directly above the light shelf is 2-ft high and the window directly below is 4 ft. What should the dimensions X₁ and X₂ be to be sure that no direct sunlight ever enters the space at solar noon?

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4.1 Consider the design of a "light shelf" for the south side of an office
building located at a site with latitude 30°. The idea is that the light shelf
should help keep direct sunlight from entering the office. It also bounces
light up onto the ceiling to distribute natural daylight more uniformly into
the office.
2 ft
4 ft
X₁
Upper
window
X₂
Lower
window
Light
shelf
S
FIGURE P4.1
AV
Not allowed
As shown, the window directly above the light shelf is 2-ft high
and the window directly below is 4 ft. What should the dimensions X₁
and X₂ be to be sure that no direct sunlight ever enters the space at
solar noon?
Transcribed Image Text:4.1 Consider the design of a "light shelf" for the south side of an office building located at a site with latitude 30°. The idea is that the light shelf should help keep direct sunlight from entering the office. It also bounces light up onto the ceiling to distribute natural daylight more uniformly into the office. 2 ft 4 ft X₁ Upper window X₂ Lower window Light shelf S FIGURE P4.1 AV Not allowed As shown, the window directly above the light shelf is 2-ft high and the window directly below is 4 ft. What should the dimensions X₁ and X₂ be to be sure that no direct sunlight ever enters the space at solar noon?
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