L9 Solar Geometry

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L9 Solar Geometry4/29/08Solar GeometryARCH 331/431 Spring 2008Lecture 9announcements 4/29/08Firm of the Month Presentation:SRG ArchitectsWednesday May 30, 12:30, ARCH 042Assignment 4:Shading Model StudiesAvailable Thursday; due in 2 weeks (week 7)QUIZ 3:Thursday, 5/1Solar Geometry1.Today in Seattle, April 29, one month after the Spring Equinox, the sun roseA. North of EastB. Due EastC. South of East2.Today in Seattle the sun will set:A. North of WestB. Due WestC. South of West3.TRUE or FALSE:In Seattle (Latitude 48o), on June 21st, an un-shaded north-facingwindow receives nearly same same amount of direct sunlight as a southfacing un-shaded window.4.TRUE or FALSE:The sun passes directly overhead (through the zenith) in Seattle at noonon June 21, the summer solstice.Sunsets from Benton’s office9 February5 MarchAn early March sunset as seen on the Lawrence Hall of Science’s Bay Cam.http://www.lhs.berkeley.eduARCH 3/431 Spring 20081

L9 Solar Geometry4/29/08Solar Living CenterHopland, CAARCH 3/431 Spring 20082

L9 Solar Geometry4/29/08Lewis-Sigler Center for Integrative GenomicsIcahn Laboratory, Princeton UniversityRafael Viñoly ArchitectsARCH 3/431 Spring 20083

L9 Solar Geometry4/29/08Objectives of our study of Sun and Architecture: Where is the sun located at any time of the day and year? How much sun is entering my building at any time of day andyear? How much sun or shade does my building need at any time ofday and year? How do I match my building’s need for sun with how muchsun is available at any time of day or year?ARCH 3/431 Spring 20084

L9 Solar Geometry4/29/08Our story so far DeclinationJune 21Dec. 21December 21 23.5oMar./Sept. 210o-23.5oJune 21September 21Terminology for locating the sunMarch 21Equinoxes: equal day and nightMarch 21 and September 21Seattle:or47 37' N122 20' W47.62 Nor 122.33 WARCH 3/431 Spring 20085

L9 Solar Geometry4/29/08June 21 declination 23.5oSummer above the arctic circle in photographs4 pm6 pm8 pm10 pmmidnight2 am4 am6 am8 am10 amnoon2 pmLatitude determines Sun AngleSun’s Altitude Angle at Solar Noon:Altitude 90o - Latitude DeclinationLatitude 48oDeclination:December 21March/April 21June 21 -23.5o0o 23.5oAltitude Angle at Solar Noon in Seattle:Dec. 21:90o - 48o - 23.5o 18.5oSept./Mar. 21:90 o 0o June 21:90o 23.5o 65.5o-48o-48oARCH 3/431 Spring 200842o6

L9 Solar Geometry4/29/08Keeping Time:Sun Dials and Sun MarkersEquatorial Sundial Simple: easy to construct Easy to adjust for latitude Gnomon is parallel withthe equatorEquatorial SundialThe equatorial or universal sundial isthe easiest dial to make. The gnomonis parallel to the earth's axis and thedial plate lies in the plane of theequator. The hour lines are spaced at15 , so that the face looks very muchlike that of a traditional clock except . Can tell both time of dayand time of yearEquitorialSundial for 44oN. Lat.ARCH 3/431 Spring 2008The style in an equatorialsundial is tilted at an angleequal to the latitude, the highend of the style points north,and the disc is parallel to theearth’s equatorial plane.7

L9 Solar Geometry4/29/08This small equatorial dial madefor shading models has anadjustable hour scaleA contemporary dial nearthe equator -- Hong KongUniversity of Scienceand TechnologyAnd then there is theissue of precision intimekeepingA horizontal sundial in 6 easy steps:Horizontal SundialARCH 3/431 Spring 20081.Layinga horizontalMake a protractor bydividingouta halfcircle with lines at an even 15ºspacing.2.Create a style from a right-angledsheet of stock. Cut at an angle thatequals latitude for the sundial site.3.Glue the style to the north – southaxis of the sundial’s base.dial (1)8

L9 Solar Geometry4.Slice a tube on its long axis and affix toLaying out a horizontalthe top of your style.5.Lean your protractor against the northslope of your style and project the anglesto the sundial baseplane using a string.6.Connect the south base of the style toyour projected points with straight lines.Sun Peg ChartsARCH 3/431 Spring 20084/29/08dial (1)Sun Peg ChartAppendix D, MEEB 10th, pgs. 1535-15389

L9 Solar Geometry4/29/08Seasonal Shading StudiesViewing a model from the sun’s positionARCH 3/431 Spring 200810

Solar Living Center Hopland, CA. L9 Solar Geometry 4/29/08 ARCH 3/431 Spring 2008 3 Lewis-Sigler Center for Integrative Genomics Icahn Laboratory, Princeton University Rafael Viñoly Architects. L9 Solar Geometry 4/29/08 ARCH 3/431 Sprin