Example 7: A suspension bridge uses a long cable connected between pairs of towers to support the bridge deck. The main span of a bridge is 472 m and the height of each tower is 111 m. The cable is approximated by a parabola, so that the bridge deck passes through the vertex of the parabola and the bridge deck is placed halfway up the supporting towers.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Example 7: A suspension bridge uses a long cable connected between pairs of towers to support the
bridge deck. The main span of a bridge is 472 m and the height of each tower is 111 m. The cable is
approximated by a parabola, so that the bridge deck passes through the vertex of the parabola and the
bridge deck is placed halfway up the supporting towers.
111 m
472 m
a) Determine an equation for the parabola.
b) Determine the length of the connecting cable needed to attach the bridge deck to the main
cable at a point 30 m from the vertex.
olas
sur
Th
kers
Transcribed Image Text:Example 7: A suspension bridge uses a long cable connected between pairs of towers to support the bridge deck. The main span of a bridge is 472 m and the height of each tower is 111 m. The cable is approximated by a parabola, so that the bridge deck passes through the vertex of the parabola and the bridge deck is placed halfway up the supporting towers. 111 m 472 m a) Determine an equation for the parabola. b) Determine the length of the connecting cable needed to attach the bridge deck to the main cable at a point 30 m from the vertex. olas sur Th kers
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