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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
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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.
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4 _ . ‘3 ej s 27% 75 5X1 =39: E’fé‘s (imawawimﬁf Mm‘Mio N .:) BJQOHZS‘Q Mnil 2’: 50:?“ 617i”[<9'YT5Y)7F%>€$?]5¥E%railj‘B $5251:th at.) 81: 1251 as “Mozart$3706”) 75:) Blegti9'?‘tiioé N ‘lﬁgw? MAMm Question No. 3) Determine the
moment of inertia of the beam’s
crosssectional 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.
 Fall '08
 Various

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