SOLUTION: Tower Guy Wire Design Project

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FBD for no wind condition:

FBD for condition 2:

FBD for condition 3:

Design Project 1
Tower Guy Wire Design

??????? = 20
????? = 10

???
??

???
??

ℎ????? = 200.4 ??
All three wires are of the same length:
?? = ?? = ?? = 206.5 ??

Design Conditions:
1. No wind
2. Wind coming from 300 (from the +x-axis)
3. Wind coming from 900 (along the +y axis)
Pre-load:
??????? = ??? = 20

???
(200.4 ??) = 4008 ???
??

?? = ?? = ?? = 206.5 ??
??????????? ?ℎ? ????? ?? ?ℎ? ?????:

? = cos−1 (

ℎ?????
200.4
) = cos −1 (
) = 13.96°
??????
206.5

??? ????????? ?:
????? = 10

???
(200.4 ??) = 2004 ??? ?????? ??100.2 ?? ????? ?ℎ? ?????? ??? 30°
??

180 − 13.96 − 90 = 76.04° = ??
cos ?? =

???
?ℎ??, ??? = cos ?? (206.5 ??) = 49.8 ??
206.5 ??

∑ ?? = 0 = −4008 ??? − ??? cos 13.96 − ??? cos 13.96 − ??? cos 13.96
??? + ??? + ??? = −???? ???
∑ ?? = 0 = −2004 ??? (sin 30) + ??? (cos 76.04) − ??? (cos 76.04) sin 30 − ??? (cos 76.04) sin 30
0 = −2004 ??? (sin 30) + ??? (cos 76.04) − ??? (cos 76.04) sin 30 − ??? (cos 76.04) sin 30
1002 ??? = cos 76.04 (??? − ??? sin 30 − ??? sin 30)
????. ?? ??? = ??? − ??? ??? ?? − ??? ??? ??
∑ ?? = 0 = −2004 ??? (cos 30) − ??? (cos 76.04) cos 30 + ??? (cos 76.04) cos 30
0 = −2004 ??? (cos 30) − ??? (cos 76.04) cos 30 + ??? (cos 76.04) cos 30
1735.51 ??? = cos 76.04 (cos 30)(??? − ??? )
??? − ??? = ????. ?? ???
??? = ????. ?? ???
??? = −????. ?? ???
??? = ????. ?? ???

??? ????????? ?:
????? = 10

???
(200.4 ??) = 2004 ??? ?????? ??100.2 ?? ????? ?ℎ? ?????? ??? 90°
??

180 − 13.96 − 90 = 76.04° = ??
∑ ?? = 0 = −4008 ??? − ??? cos 13.96 − ??? cos 13.96 − ??? cos 13.96
??? + ??? + ??? = −???? ???

∑ ?? = 0 = −2004 ??? + ??? (cos 76.04) − ??? (cos 76.04) sin 30 − ??? (cos 76.04) sin 30
0 = −2004 ??? + ??? (cos 76.04) − ??? (cos 76.04) sin 30 − ??? (cos 76.04) sin 30
2004 ??? = cos 76.04 (??? − ??? sin 30 − ??? sin 30)
????. ?? ??? = ??? − ??? ??? ?? − ??? ??? ??
∑ ?? = 0 = −??? (cos 76.04) cos 30 + ??? (cos 76.04) cos 30
0 = −??? (cos 76.04) cos 30 + ??? (cos 76.04) cos 30
??? = ???
??? = ????. ?? ???
??? = ??? = −????. ?? ???

??? ??????? ???????? ????? ?? ??? = −????. ?? ???
??? − ???? = ??? = ????. ?? ???

For no-wind condition:
∑ ?? = 0 = −??? − ??? cos 13.96 − ??? cos 13.96 − ??? cos 13.96
??? + ??? + ??? = −???
??? + ??? = −??? − ????. ??
∑ ?? = ? = ??? (??? ??. ??) − ??? (??? ??. ??) ??? ?? − ??? (??? ??. ??) ??? ??
? = ??? (??? ??. ??) − ??? (??? ??. ??) ??? ?? − ??? (??? ??. ??) ??? ??
? = ??? ??. ?? (??? − ??? ??? ?? − ??? ??? ??)
??? = (??? + ??? ) ??? ??
???? = ??? + ???
???? − ??? = ????. ?? ???
∑ ?? = ? = −??? (??? ??. ??) ??? ?? + ??? (??? ??. ??) ??? ??
???? = ????. ?? + ????. ??
??? = ????. ?? ???

? = −??? (??? ??. ??) ??? ?? + ??? (??? ??. ??) ??? ??
??? = ??? = ????. ?? ???
−??? = ??? + ??? + ???
−??? = ???? = ?(????. ??) ???
??? = −?????. ?? ???

For condition 2:
∑ ?? = ? = −??? − ??? ??? ??. ?? − ??? ??? ??. ?? − ??? ??? ??. ??
??? + ??? + ??? = −???
??? + ??? = −??? − ????. ??
??? = ????. ?? + ????. ?? ??? = ????. ?? ???
??? = −????. ?? + ????. ?? ??? = ? ???
??? = ????. ?? + ????. ?? ??? = ??…