Beer Johnston asked 1 year ago
A transmission tower is held by three guy wires attached to a pin at A and anchored by bolts at B, C, and D . If the tension in wire AC is 590 lb, determine the vertical force P exerted by the tower on the pin at A.
1 Answers
Sazid Ahmad answered 1 year ago
Step 1
we solve this question by resolution of component of force in 3D ( 3 dimensions).
given
dimensions of all 3 wires from the origin O is given.
Step 2
Similarly dB=105 ft; dD=126 ft
Similarly, for pin at point B
and
For pin at point D
Boundary Condition- Resultant Sum of force in x and y direction is 0
this above constraint is used to find FB and FD
(60/118)590+(-20/105)FB+(-20/126)FD=0Â Â
& (18/118)590+(25/105)FB+(-74/126)FD=0
i.e (20/105)FB+(20/126)FD=(60/118)590
& (25/105)FB+(-74/126)FD=-(18/118)590
solving above two equations we get
FB=1081.82 lb
FD=591.82 lb
Step 3
we need to find vertical force P exerted by the tower on the pin at A
=Fcy+FBY+FDY
=2000 lb
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