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4.Cable - Introduction Ropes Theory and Design of...

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Cable Structures Cable Structures Theory and Design of Structures I Introduction Ropes Chains Wires Cables • Features – Considerable strength in simple tension – No resistance either to bending nor compression In the analysis, the bending moment is always taken to be zero throughout its length For a vertically loaded cable (i.e. no external horizontal force), the horizontal component H of the tension is constant throughout Introduction • Assumptions: – The cable is perfectly flexible – The cable is inextensible – The cable is weightless Hence, an ideal cable: – acts purely as a tension member – would be perfectly straight between each suspended load Introduction Cable subjected to Cable subjected to Concentrated Loads Concentrated Loads Find out the cable forces if l 1 = 20m, l 2 = 25m, h 1 = 7.5m, h 2 = 12.5m, P = 400N Example 1 Example 1 B h 2 = 12.5m l 2 = 25m l 1 = 20m S 2 S 1 C A h 1 = 7.5m P = 400N A weightless cable under a concentrated load H H V B V A
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Graphically, by force triangle, Alternatively, take moment of whole cable ACB about B Take moment of the portion AC about C N 490 1 = S N 510 2 = S 0 5 . 7 20 = × × H V A 0 25 400 5 45 = × × + × H V A (1) H V A 375 . 0 = (2) B h 2 = 12.5m l 2 = 25m l 1 = 20m S 2 S 1 C A h 1 = 7.5m P = 400N
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