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Hibbeler, Engineering Mechanics: Statics. 12th Edition

A 0512 mat m * :

B 50512 mat m * :

C 25012 mat m * :

wo 8 kgf m / * :

x f a x xo - a / cosh * yo + :

x f' x f x diff :

eq A 1 el f A 2 el ≡ B 1 el f B 2 el ≡ C 1 el f C 2 el ≡ 31 sys :

a xo yo 31 mat eq 50 m * 50 m * 50 m * - 31 mat FindRoot : m 63.32 25 63.32 - 31 mat

x m * f m / x m * 0 50 m * lele * a wo * x m * f' atan cos / x m * 0 50 m * lele kN / * A B C stack m / o augment 3 1 sys

Force

F.H a wo * : kN 4.97

Max angle

θ.M 0 m * f' atan : deg 22.06 -

50 m * f' atan deg 22.057

Max tension

T.M F.H θ.M cos / : kN 5.36

Cable length

L 1 x m * f' 2^+ sqrt x 050 int m * : 51.31 m *

a xo yo Clear 1

A 018012 mat ft * :

B 30012012 mat ft * :

C X.C 90 ft * 12 mat :

wo 15 lbf ft / * :

x f a x xo - a / cosh * yo + :

x f' x f x diff :

eq A 1 el f A 2 el ≡ B 1 el f B 2 el ≡ C 1 el f C 2 el ≡ X.C f' 0 ≡ 41 sys :

eq Unknowns a X.C xo yo 41 mat

a X.C xo yo 41 mat eq 100 ft * 100 ft * 100 ft * 100 ft * - 41 mat FindRoot : ft 211.31 188.69 188.69 121.31 - 41 mat

x ft * f ft / x ft * 0 300 ft * lele * a wo * x ft * f' atan cos / x ft * 0 300 ft * lele kip / * A B C stack ft / o augment 3 1 sys

Force

F.H a wo * : lbf 3169.58

Max angle

θ.M 0 ft * f' atan : deg 45.47 -

Max tension

T.M F.H θ.M cos / : kip 4.52

Cable length

L 1 x m * f' 2^+ sqrt x 0300 ft m / * int m * : ft 331.32

Alvaro

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