The diagram shows view of a suspension bridge.The road is supported by cylindrical steel rods attached to the suspension cables.There are 2 identical cables and sets of rods on each side of the roadway.Each pair of rods effectively supports 5m of road which has a mas per unit length of 2 x 103 kg/m.The longest rods are 55m long and have a cross-sectional area of 5 x 10-3 m2. young’s modulus for steel 2 x 1011 PaAssuming that the limit of proportionality is not exceeded, calculate:The tension in each rodThe tensile stress in the longest rodsThe tensile strain in the longest rodsi) what changes will occur in a rod when a lorry goes over the bridge?ii) Explain why the rods used in bridges may fail due to metal fatigue. Main suspensioncableRods,Road

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Answered: The diagram shows view of a suspension…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The diagram shows view of a suspension bridge.The road is supported by cylindrical steel rods attached to the suspension cables.There are 2 identical cables and sets of rods on each side of the roadway.

Each pair of rods effectively supports 5m of road which has a mas per unit length of 2 x 10³ kg/m.The longest rods are 55m long and have a cross-sectional area of 5 x 10^-3m². young’s modulus for steel 2 x 10¹¹ Pa

Assuming that the limit of proportionality is not exceeded, calculate:
The tension in each rod
The tensile stress in the longest rods
The tensile strain in the longest rods

i) what changes will occur in a rod when a lorry goes over the bridge?
ii) Explain why the rods used in bridges may fail due to metal fatigue.

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