Answered: Compute declination angle and zenith…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Compute declination angle and zenith angle for solar noon on December 21st, 2011 (winter solstice), and June 21st, 2012 (summer solstice) in Hilo, Hawaii (19.73°N). Remember to account for leap years. For this latitude and days of the year (and time of day), is the sun in the southern sky, northern sky, or directly overhead? [Hint: You can answer this by comparing the latitude to the declination angle]. Is your answer generally true throughout the year? Justify your answer.

Expert Solution

Step 1: Solution

Solution:

The top of the atmosphere (TOA) incoming shortwave (SW) flux at a given location is:

$R_{s 0} = [R_{s c} \cos θ d a y t i m e (θ \leq \frac{π}{2})] [0 n i g h t t i m e] W h e r e R_{s c} = 1367 W m^{2} (t h e s o l a r c o n s \tan t) θ = i s t h e s o l a r z e n i t h a n g l e r = r e p r e s e n t s t h e r a t i o o f a c t u a l t o m e a n E a r t h s u n d i s \tan c e C o \sin e o f t h e s o l a r z e n i t h a n g l e \cos (θ) = \sin δ \sin φ + \cos δ \cos φ \cos τ w h e r e, δ = d e c l i n a t i o n a n g l e (r a d i a n) = \frac{24.45}{180} \cos [\frac{2 π}{365} (170 - D O Y)] D O Y = d a y o f y e a r φ = l a t i t u d e (r a d i a n s) τ = h o u r a n g l e (r a d i a n) = 2 π (\frac{T_{h} - 12}{24}) T_{h} = h o u r o f d a y [0, . . . . . . . . . . . 23]$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions