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Unformatted text preview: 4.9 REDUCTION OF A SIMPLE DISTRIBUTED LOADING ’l 91 "if Wind has blown sand over a platform such that 4—154. Replace the distributed loading with an equivalent
intensity of the load can be approximated by the resultant force, and specify its location on the beam
‘ n w = (0.5x3) N/ m. Simplify this distributed loading measured from point A. an equivalent resultant force and specify its magnitude location measured from A. w = (0.5%) N/m Prob. 4—154 Prob. 4~152 '3. Wet concrete exerts a pressure distribution along 5. Replace the loading by an equivalent resultant
wall of the form. Determine the resultant force of this ‘féﬁ'ce and couple moment at point A.
'bution and specify the height h Where the bracing strut d be placed so that it lies through the line of action of
resultant force. The wall has a Width of 5 In. *4—156. Replace the loading by an equivalent resultant
force and couple moment acting at point B. Prob. 4453 Probs. dI~~~155If156 :1]! problem solutions must include on FBD. 5—11. Determine the normal reactions at A and B in
Prob.5—1. *5—12. Determine the tension in the cord and the
horizontal and vertical components of reaction at support A
of the beam in Prob. 5—4. 05—13. Determine the horizontal and vertical components
of reaction at C and the tension in the cable AB for the
fuss in Prob. 5—5. 5—14. Determine the horizontal and vertical components reaction at A and the tension in cable BC on the boom in
Prob. 5—6. 515. Determine the horizontal and vertical components
of reaction at A and the normal reaction at B on the
manner wrench in Prob. 5~7. “5—16. Determine the normal reactions at A and B and the
three in link CD acting on the member in Prob. 5—8. 05—17. Determine the normal reactions at the points of
contact at A, B, and C of the bar in Prob. 5—9. 5—18. Determine the horizontal and vertical components
of reaction at pin C and the force in the pawl of the winch in
Prob. 5—10. 5—1.9. Compare the force exerted on the toe and heel of a
:Dlb woman when she is wearing regular shoes and
aﬁetto heels. Assume all her weight is placed on one foot
and the reactions occur at points A and B as shown. 120 lb 1, 0.75 in. 3.75 in. Prob. 5—19 5.4 Two AND THREE—FORCE MEMBERS 22 7 *5—20. The train car has a weight of 24 000 lb and a center
of gravity at G. It is suspended from its front and rear on the
track by six tires located at A. B, and C. Determine the
normal reactions on these tires if the track is assumed to be
a smooth surface and an equal portion of the load is
supported at both the front and rear tires. Prob. 5—20 0541. Determine the horizontal and vertical components
of reaction at the pin A and the tension developed in cable
BC used to support the steel frame. Isﬁiw ,saxﬁK Prob. 5—21 99—5 "1011! 175—5 “1011] 1—111 {Zn'1“
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100g Glala 1’ do wnlaamnog g HEILcWHj ng a5n——t— — 05—37. The wooden plank resting between the buildings
deflects slightly when it supports the 50kg boy. This
deflection causes a triangular distribution of load at its ends,
having maximum intensities of wA and WE. Determine WA
and 1423, each measured in N/m, when the boy is standing
3 m from one end as shown. Neglect the mass of the plank. Prob. 5—37 5—33. Spring CD remains in the horizontal position at all
times due to the roller at D. If the spring is unstretched
when 9 = 0° and the bracket achieves its equilibrium
'position when 6 = 30°, determine the stiffness k of the
Spring and the horizontal and vertical components of
reaction at pin A. 5—39. Spring CD remains in the horizontal position at all
times due to the roller at D. If the spring is unstretched
when 6 = 0° and the stiffness is k 3 1.5 kN/m, determine
the smallest angle 9 for equilibrium and the horizontal and
vertical components of reaction at pin A. 5.4 Two AND THREEFORCE MEMBERS 231 *5—40. The platform assembly has a weight of 250 lb and
center of gravity at G. If it is intended to support a
maximum load of 400 lb placed at point G2, determine the
smallest counterweight W that should be placed at B in
order to prevent the platform from tipping over. 1 ft Prob. 5—40 05—41. Determine the horizontal and vertical components
of reaction at the pin A and the reaction of the smooth
collar B on the rod. Probs. 5—38139 Prob. 5—41 917/917'5 'SqoIJ EV‘S 'qold 1111110113 1101113011 9111 111 s; 111000 511 11911111 11111119110 01 9111319
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)i {H C! N . 3} .L 1009 01913 v :IO wmasnmog 9 HELdVHj 393 5.5 FREEBODY DIAGRAMS 2 39 Types of Connection Reaction Number of Unknowns
6
( ) M2
.ﬁ
/ ' F Five unknowns. The reactions are two force and three . .. . ‘ xii“‘4‘ M couple—moment components. Note: The couple moments
_ Mx " are generally not applied if the body is supported
single journal bearing 1’ Ft “ elsewhere. See the examples. with square shaft Five unknowns. The reactions are three force and two
couplemoment components. Note: The couple moments
are generally not applied if the body is supported
elsewhere. See the examples. single thrust bearing Five unknowns. The reactions are three force and two
couplemoment components. Note: The couple moments
are generally not applied if the body is supported
elsewhere. See the examples. single smooth pin (9)
Five unknowns. The reactions are three force and two
couplemoment components. Note: The couple moments
are generally not applied if the body is supported
elsewhere. See the examples.
single hinge M).
(10) Six unknowns. The reactions are three force and three
couple—moment components. fixed support All problem solutions must include an FBD. 5—63. The cart supports the uniform crate having a mass of
85 kg. Determine the vertical reactions on the three casters
at A, B, and C. The caster at B is not shown. Neglect the
mass of the cart. Prob. 5—63 *5—64. The pole for a power line is subjected to the two
cable forces of 60 lb, each force lying in a plane parallel to
the x— y plane. If the tension in the guy wire AB is 80 lb,
determine the x, y, 2 components of reactiorr at the fixed
base of the pole, 0. 60 1b Prob. 5—64 5.7 CONSTRAINTS AND STATsCAt DETERMINACY 25 3 lI5—65. If P = 6 kN,x = 0.75 m and y : 1 m, determine
the tension developed in cables AB, CD, and EF. Neglect
the weight of the plate. 5456. Determine the location A: and y of the point of
application of force P so that the tension developed in
cables AB, CD, and EF is the same. Neglect the weight of
the plate. N Probs. 56966 5—67. Due to an unequal distribution of fuel in the wing
tanks, the centers of gravity for the airplane fuselage A
and wings B and C are located as shown. If these
components have weights WA = 45 000 lb, W3 = 80001b,
and WC 2 60001b, determine the normal reactions of the
wheels D, E, and F on the ground. Prob. 5—67 5.7 CONSTRAINTS AND STATICAL DETERMINACY 2 5 5 *5—72. Determine the components of reaction acting at the 574. If the load has a weight of 2001b, determine the x, y,
smooth journal bearings A, B, and C. z components of reaction at the ballandsocket jointA and
the tensiOn in each of the wires. Prob. 572
Prob. 574
05—73_ Determine the force components acting on the ball 5’75. the CﬂblC can 136 SUbjeCted to a maximum [GHSiOIl
and—socket at A, the reaction at the roller B and the tension of 300 lb, determine the maximum force F which may be
on the cord CD needed for equilibrium of the quarter applied to thﬁ Plate. Compute the I, y, z COrﬂpDnents of circular plate. reaction at the hinge A for this loading. Prob. 5—73 Prob. 5—75 ,'_‘ panunuoa mwmmmummmmm!Hmmmmmmmtmihwrmwmmww , p01 Ipoouis no 1121103 01
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9132 quiqm 9310; uoisuel 2 91 Houses; eql 'umounun euo 9 sumouqun in JeqmnN uonoeey uonaeuuog to sad/("L mog elem V AC) lAﬂIaEH'lnDEI g HSLdVHj zoz 5.2 FREEBODY DIAGRAMS Types of Connection Reaction Number of Unknowns TWO unknowns. The reactions are two components of
force, or the magnitude and direction dz of the resultant
force Note that (15 and 9 are not necessarily equal [usually
not, unless the rod shown is a link as in (2)]. \ [h pin or hinge TWO unknowns. The reactions are the couple moment
and the force which acts perpendicular to the rod. ' fixed connected
— on smooth rod F
Three unknowns. The reactions are the couple moment
4>
g and the two force components, or the couple moment and
M the magnitude and direction 4; of the resultant force F!
g
g or
M v support ...
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This note was uploaded on 08/29/2010 for the course EGN 3311 taught by Professor Nohra during the Fall '08 term at University of South Florida  Tampa.
 Fall '08
 Nohra
 Statics

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