Solutions to Problem Set no 10 - University of Toronto...

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Unformatted text preview: University of Toronto Faculty of Applied Science and Engineering Civil Engineering Department Structures, Materials, and Design (CIV101 F) Problem Set No. 10 November 22, 2007 Question No. 1) Locate the centroid for the metal cross section. Neglect the thickness of the material and SumatuMA/T" . ,. 3/“ slight bends the comer. Take the length of the object normal to its “ " cross section as unity. ‘ D06 ’50 ésntn‘lctrj about: (rang), 51'! mm ifll'l mm It”) 11m: ‘5” mm N figf death he attuned 123 1 m iés , mg aéétElafi t 870, at? 725.2060 _- 135,10, 3'}? $00 ‘000 939,639 5 Mb“ Question No. 2) Locate the centroid of the beam’s cross section built up from a channel and a wide—flange beam. Take the length of the beam normal to Ets cross section as unity. [)Uc:J ft; L. I £1 ((1 Z * 0 Question Not 3) Locate the center i _ of gravity of the two-block assembly. ‘ ' The specific weights of the materiaés A and B are m = 24 kN/m3 and yB : 64 kN/m3, respectively. “iii: weights ail Hockfi ii Sue OWE i 26364906, V4 we “9 gL 59 at (519 viii?) :7 wt}: oifiée "’ W55 ¢<0qoé%0.cé%0,dfl) 1<(é Limo >~zxi W59 [1:60 3 fie-(mi s c Question No. 4) The wooden table is made from a square board having a weight of 75 N. Each of the legs weighs 10 N and is 1 m long. Determine how high its center of gravity is from the floor. Also, what is the angle (measured from the horizontal) through which its top surface can be tilted on two of its legs before it begins to overturn. Negtect the thickness of each leg. Ode '60 flammefra ‘. v 86‘; 0‘01 m,- <Zg: W t. mmé Mg Z 75 'i— fi' ‘0 \wwflmmm fan a: <fl>r7 Q: 413:2ng 0mg ...
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Solutions to Problem Set no 10 - University of Toronto...

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