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Unformatted text preview: 1. See ﬁgure below. A beam AB is simply supported and subjected to a concentrated force P at
the midspan and a distributed load of intensity q over one—half of the span. Neglect the
weight of the beam. (a) Find the reactions at A and B. (10) (b) Find the internal shear force and bending moment at a section of distance 20 inch to the
left of B. (15) (c) Draw the shear force and bending moment diagrams for the entire beam AB. Mark the
maximum bending moment and its location. (10) P r: lb
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(5’) M 5 17:2 x?0—/00x/o : 24w[[b~a‘n) 2. Determine the range of mass m for which the lOOkg block is in static equilibrium. Neglect the
mass of the pulley. (a) Assume all wheels and pulleys have negligible friction. (15) (b) Determine the range when the coefﬁcient of static friction between the belt and the pulleys
is 0.1. Assume that both pulleys do not rotate. (10) Hint: For part I), use the formula for belt friction: T2 = T16”; . (a) F59 N; 2T Q Lower boomd 0% m a 0
Tl“: 2m} 09w" = 01/511420" ~ﬂsWW2" =57/V 2) m, :1 3142/ C2,) Z“ 0
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U) 73f:_z,€”upz" .ﬁ 3. See ﬁgure below. The ZOOkg slider A is held in place on the smooth vertical bar by the cable
AB. (a) Find the magnitude and direction of the force in the cable. (15) (b) Find the magnitude and direction of the contact force between the slider and the vertical
bar. (10) (c) Find the moment about 0 due to the force in the cable exerted on the hook at B. (15) (a) W :. m3:1762//‘/
W :—[7{Zj (2)
w m
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VL 7 “ms
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w Y‘
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7 0.7lg u) El: :4) £1762. +£7 2.0 => 5g 1 = 45°}; H7612 +1391]:
(2)
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This note was uploaded on 04/18/2011 for the course E M 306 taught by Professor Rodin during the Spring '08 term at University of Texas.
 Spring '08
 Rodin

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