Question: Develop a spreadsheet to compute the values of K a(R) , ' a , and a , using Eqs. (16.20), (16.18), and (16.21), respectively.

Develop a spreadsheet to compute the values of Ka(R), β'a, and ηa, using Eqs. (16.20), (16.18), and (16.21), respectively.

a. Use this spreadsheet to compute the values for the following values of θ and α. Use ϕ' = 34°.

e () 0 0 0 0 0 10 10 10 20 20 20 a () 0 5 10 15 20 O 10 20 0 10 20


b. Compare the values of Ka(R) and β'a with the values given in Tables 16.1 and 16.2.

c. Discuss the trends in the magnitude and direction of the active thrust Pa with changes in θ and α.


Eqs. (16.20)

e () 0 0 0 0 0 10 10 10 20 20


Eqs. (16.18)

20 a () 0 5 10 15 20 O 10 20 0


Eqs. (16.21)

10 20

e () 0 0 0 0 0 10 10 10 20 20 20 a () 0 5 10 15 20 O 10 20 0 10 20

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