Structural Engineering

(nextflipdebug5) #1

Draft


6.2TheCaseStudy 129


6.2.3 CableForces


20 ThethrustH(which is thehorizontalcomponent of thecableforce)is determinedfromEq.


6.8


H =


wL


2
cs
8 h

=


(47)k/ft(3;500)


2
ft

2


(8)(327)ft


= 220 ; 000 k


FromEq.6.12themaximumtensionis


r =


h


Lcs


=


327


3 ; 500


= 0: 0934


Tmax = H


p


1 + 16r


2


= (2;200)k


p


1 + (16)(0:0934)


2


= (2;200)k(1:0675)= 235,000 k


6.2.4 Reactions


21 Cablereactionsareshownin Fig.6.5.


POINTS WITH

REACTIONS TO

CABLES

Figure6.5:Locationof CableReactions


22 Theverticalforcein thecolumnsdueto thecentralspan(cs)is simplythesupportreaction,


6.6


A

POINT OF NO
MOMENT

B

REACTIONS AT
TOP OF TOWER

TOT

L = 3,500 FT

w = 39 + 8 = 47 k/ft

Figure6.6:VerticalReactionsin ColumnsDueto CentralSpanLoad


Vcs=


1


2


wLcs=


1


2


(47)k/ft(3;500)ft= 82; 250 k (6.16)

Free download pdf