# SOLUTION: Tower Guy Wire Design Project

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

???

??

???

??

â„Ž????? = 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 ??

??????????? ?â„Ž? ????? ?? ?â„Ž? ?????:

? = cosâˆ’1 (

â„Ž?????

200.4

) = cos âˆ’1 (

) = 13.96Â°

??????

206.5

??? ????????? ?:

????? = 10

???

(200.4 ??) = 2004 ??? ?????? ??100.2 ?? ????? ?â„Ž? ?????? ??? 30Â°

??

180 âˆ’ 13.96 âˆ’ 90 = 76.04Â° = ??

cos ?? =

???

?â„Ž??, ??? = cos ?? (206.5 ??) = 49.8 ??

206.5 ??

âˆ‘ ?? = 0 = âˆ’4008 ??? âˆ’ ??? cos 13.96 âˆ’ ??? cos 13.96 âˆ’ ??? cos 13.96

??? + ??? + ??? = âˆ’???? ???

âˆ‘ ?? = 0 = âˆ’2004 ??? (sin 30) + ??? (cos 76.04) âˆ’ ??? (cos 76.04) sin 30 âˆ’ ??? (cos 76.04) sin 30

0 = âˆ’2004 ??? (sin 30) + ??? (cos 76.04) âˆ’ ??? (cos 76.04) sin 30 âˆ’ ??? (cos 76.04) sin 30

1002 ??? = cos 76.04 (??? âˆ’ ??? sin 30 âˆ’ ??? sin 30)

????. ?? ??? = ??? âˆ’ ??? ??? ?? âˆ’ ??? ??? ??

âˆ‘ ?? = 0 = âˆ’2004 ??? (cos 30) âˆ’ ??? (cos 76.04) cos 30 + ??? (cos 76.04) cos 30

0 = âˆ’2004 ??? (cos 30) âˆ’ ??? (cos 76.04) cos 30 + ??? (cos 76.04) cos 30

1735.51 ??? = cos 76.04 (cos 30)(??? âˆ’ ??? )

??? âˆ’ ??? = ????. ?? ???

??? = ????. ?? ???

??? = âˆ’????. ?? ???

??? = ????. ?? ???

??? ????????? ?:

????? = 10

???

(200.4 ??) = 2004 ??? ?????? ??100.2 ?? ????? ?â„Ž? ?????? ??? 90Â°

??

180 âˆ’ 13.96 âˆ’ 90 = 76.04Â° = ??

âˆ‘ ?? = 0 = âˆ’4008 ??? âˆ’ ??? cos 13.96 âˆ’ ??? cos 13.96 âˆ’ ??? cos 13.96

??? + ??? + ??? = âˆ’???? ???

âˆ‘ ?? = 0 = âˆ’2004 ??? + ??? (cos 76.04) âˆ’ ??? (cos 76.04) sin 30 âˆ’ ??? (cos 76.04) sin 30

0 = âˆ’2004 ??? + ??? (cos 76.04) âˆ’ ??? (cos 76.04) sin 30 âˆ’ ??? (cos 76.04) sin 30

2004 ??? = cos 76.04 (??? âˆ’ ??? sin 30 âˆ’ ??? sin 30)

????. ?? ??? = ??? âˆ’ ??? ??? ?? âˆ’ ??? ??? ??

âˆ‘ ?? = 0 = âˆ’??? (cos 76.04) cos 30 + ??? (cos 76.04) cos 30

0 = âˆ’??? (cos 76.04) cos 30 + ??? (cos 76.04) cos 30

??? = ???

??? = ????. ?? ???

??? = ??? = âˆ’????. ?? ???

??? ??????? ???????? ????? ?? ??? = âˆ’????. ?? ???

??? âˆ’ ???? = ??? = ????. ?? ???

For no-wind condition:

âˆ‘ ?? = 0 = âˆ’??? âˆ’ ??? cos 13.96 âˆ’ ??? cos 13.96 âˆ’ ??? cos 13.96

??? + ??? + ??? = âˆ’???

??? + ??? = âˆ’??? âˆ’ ????. ??

âˆ‘ ?? = ? = ??? (??? ??. ??) âˆ’ ??? (??? ??. ??) ??? ?? âˆ’ ??? (??? ??. ??) ??? ??

? = ??? (??? ??. ??) âˆ’ ??? (??? ??. ??) ??? ?? âˆ’ ??? (??? ??. ??) ??? ??

? = ??? ??. ?? (??? âˆ’ ??? ??? ?? âˆ’ ??? ??? ??)

??? = (??? + ??? ) ??? ??

???? = ??? + ???

???? âˆ’ ??? = ????. ?? ???

âˆ‘ ?? = ? = âˆ’??? (??? ??. ??) ??? ?? + ??? (??? ??. ??) ??? ??

???? = ????. ?? + ????. ??

??? = ????. ?? ???

? = âˆ’??? (??? ??. ??) ??? ?? + ??? (??? ??. ??) ??? ??

??? = ??? = ????. ?? ???

âˆ’??? = ??? + ??? + ???

âˆ’??? = ???? = ?(????. ??) ???

??? = âˆ’?????. ?? ???

For condition 2:

âˆ‘ ?? = ? = âˆ’??? âˆ’ ??? ??? ??. ?? âˆ’ ??? ??? ??. ?? âˆ’ ??? ??? ??. ??

??? + ??? + ??? = âˆ’???

??? + ??? = âˆ’??? âˆ’ ????. ??

??? = ????. ?? + ????. ?? ??? = ????. ?? ???

??? = âˆ’????. ?? + ????. ?? ??? = ? ???

??? = ????. ?? + ????. ?? ??? = ??…