Question

Homework 6 Cable Subjected to Concentrated Loads Car der the cable nくFgure 1). The given dimensions are Δ띠-6 m . Δ:r,-6 m ΔΖ3-8 n. and Δ3,-a tn Cable BCis horizontal. The applied loads are B1-4 kN and C '- 5 kN. The designer aid li ta knaw where the brackrt for print D must be placed and what the tension will ba in all threr segments Review Learning Goal: Part A Deeine how to sove the problern To sove for lensons and fores in a system wnh ส CA7le subjected to caroantaied oads. A rahl is genorally assumad to he periacty fexil, so it cannpt support any monent. It is also not possbk: ba "push an an ideal rabk, sa in geicra. cables cari support rity lension. Arnalyzirg a cable structure wilh concernirated logds involves delerminirg the tension in each segrment of the cabie and the orcee at thne anchor peints for the csble. Part B Solve for tha tensions Solve for the tensign in the threa cebles. Express your answers in kN to three signiticant figures, separated by commas Typicaly. there are mulbpie ways these problems can be solved. H the system is in equiliarium, than any section af it must alsa ba in equilbrum. The three onuahons af equiibrium can then ba appied ta any serticn. View Avallable Hintts) In same problerns. when the locationis oi all the poirts are krawn, cutting the system through any cable yields a system Dİ Ihree equalins and three urknowns for the section. However, when the kcation af one ol the anchors is not known, tnis method is lees usetul. Some sections can be sovec, wnile others wll have tour or more unnowns whh orly tnree equetions. A2 kN, kN, kN One panicular way to appoach cabla systems is to analyze ch paint wnere thee is a caninctian If yau ansidar a single point with one ar ma cablrs attached, yau will natice that al the fores n the r body diagram will pass direclly thraugh the poiril. That inakes the surnof the monents abaul the pcin equal zero and does nat provice a ueelul equalion. In ellect, by analyzing Submlt BSTUESRAnswer Part C Find the position for point D Once tha tensions have been ound you «ither know or con find the direction from point Cto part ) What is dimension ΔΥ ? Express your answer in to three significant figures. Figure Ver Avallable Hintts) An 4y2 By Cs Submit

Answer 1

Ay 4と CO 3