Tension on a Catenary Bridge
See
The Catenary
for an explanation.
Weight_per_foot = Weight / Length
Vertical_tension = (weight/2)
Horizontal_tension = (Weight_per_foot/8*Sag) * (Length
2
- 4 * sag
2
)
Tension = √(Horizontal_tension
2
+ (Weight/2)
2
)
Span of bridge = (2*Horizontal_tension/weight_per_foot) * sinh
-1
((length*weight_per_foot)/(2 * Horizontal_tension))
Length of cable
feet
Sag
feet
Total weight
pounds
Weight per foot
?
pounds
Horizontal force at support
?
pounds
Vertical force at support
?
pounds
Tension on each of two cables
?
pounds
Span of bridge
?
feet