Solutions to Problem Set no 11

# Solutions to Problem Set no 11 - 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 (ClV101F) Problem Set No. 11 November 29, 2007 Question No. 1) When the tide water A Subsides, the tide gate automatically swings open to drain the marsh B. For the condition of high tide shown, determine the horizonta! reactions developed at hinge C and the stop block D if the length of the gate is 6 m (normal to the paper) and its height is 4 rn. Take water density as 1000 kg/m3. PLJJ— ’3? Fat; RMiWMemHJWW“ m :1 ZM‘W‘ET”> ‘" to” ~— Fwﬂ‘rié) . +Hw®wwsseetetemg {5 u-——-.. N \$940,215)! 2mg: loam-59.356?) FD: modal ﬁlo nit- loot bil- 4—“ :ElSo '*‘ FC If“; ‘w—FQ‘QLH F0 516:?) [:(C- 21:?Y“ '0‘ =3>F¢MESY1T9 [:3 Riﬂe {ta-005:: 9&2: 2:; 9 Reééeea ma zvaég'.,5:/.9 2am... Question No. 2) The gate AB is 8 m wide (normai to the paper). Determine the horizontat and vertical ._ component of the force acting on the ':3=:__-.'- 3? 3 5m pin at B and the vertical reaction at "'3 ' smooth support A if the density of water is 1000 kg/ms. .63” ‘ Bk 9* i“ 1 rs a 3 IA) Rio—x3 “1’1 ‘, . A A3 :ﬂiﬁ‘ﬁié T 2315‘s: 5% x: <1000\$9£aé> 27143 : Q“ @o 6 é-‘V-r’t’ :ze 7-1:”? 5; - i 4 _ . ‘3 ej s 27% 7-5 5X1 =39: E’fé‘s (imawawimﬁf Mm‘Mio N .:) BJQOHZS‘Q Mnil 2’: 5-0:?“ 617i”[<9'YT5Y)7F%>€\$?]5¥E%railj‘B \$5251:th at.) 81: 1251 as “Mozart-\$3706”) 75:) Blegti9'?‘tiioé N ‘lﬁgw? MAM-m Question No. 3) Determine the moment of inertia of the beam’s cross-sectional area with respect to the x‘ centroidai axis. Neglect the size of alt rivet heads for the caicuiations. Handbook vaiues for the area, moment of inertia, and iocation of the centroid C of one of the angies are listed in the figure. Question No. 4) Determine the moments of inertia of the shaded area about the x and y axes. . ‘3 '5 _ ~r em 3 MA 2%. EL“. «9‘ Im~[a+<m>M]-— {36- (8143‘) __ '3 - [I1 a '3 I If (1"! \$93) 401] :=? in; L241? am 3 amt Question No. 5) The stress blocks due to bending moment at a typical cross section of a beam is shown 100mm bellow. Determine the total ' compressive and tensile forces due to the bending moment at the section. What is the internal bending moment at the section? What is the direction ofthe bending moment? 6% MPa Comp. 10035 943 of; H76 Cﬂmﬂt‘ﬁlcﬂﬁarj Gate. ...
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## This note was uploaded on 06/22/2008 for the course ENGINEERIN CIV101 taught by Professor Various during the Fall '08 term at University of Toronto- Toronto.

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Solutions to Problem Set no 11 - University of Toronto...

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