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Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259638091
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 5.3, Problem 5.66P
5.66 and 5.67 For the beam and loading shown, determine (a) the magnitude and location of the resultant of the distributed load, (b) the reactions at the beam supports.
Fig. P5.66
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Students have asked these similar questions
5.81 The cross section of a concrete dam is as shown. For a 1-ft-wide
dam section determine (a) the resultant of the reaction forces
exerted by the ground on the base AB of the dam, (b) the point
of application of the resultant of part a, (c) the resultant of the
pressure forces exerted by the water on the face BC of the dam.
8 ft
A
r = 21 ft
Fig. P5.81
C
r= 21 ft
B
For the beam and loading shown, determine (a) the magnitude and location of the resultant of the distributed load, (b) the reactions at the beam supports.
5.79 For the beam and loading of Prob. 5.78, determine (a) the distance
20 kN/m, (b) the corresponding value of WB.
a for which wa =
WA
24 kN
a = 0.6 m
Fig. P5.78
1.8 m-
30 kN
0.3 m
B
WB
Chapter 5 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 5.1 - 5.1 through 5.9 Locate the centroid of the plane...Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.
Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - PROBLEM 5.16 Determine the y coordinate of the...Ch. 5.1 - Show that as r1 approaches r2, the location of the...Ch. 5.1 - Prob. 5.18PCh. 5.1 - Prob. 5.19PCh. 5.1 - A built-up beam is constructed by nailing seven...Ch. 5.1 - The horizontal x axis is drawn through the...Ch. 5.1 - The horizontal x-axis is drawn through the...Ch. 5.1 - PROBLEM 5.23 The first moment of the shaded area...Ch. 5.1 - A thin, homogeneous wire is bent to form the...Ch. 5.1 - A thin, homogeneous wire is bent to form the...Ch. 5.1 - Prob. 5.26PCh. 5.1 - A thin, homogeneous wire is bent to form the...Ch. 5.1 - Prob. 5.28PCh. 5.1 - The frame for a sign is fabricated from thin, flat...Ch. 5.1 - The homogeneous wire ABCD is bent as shown and is...Ch. 5.1 - The homogeneous wire ABCD is bent as shown and is...Ch. 5.1 - Prob. 5.32PCh. 5.1 - Knowing that the distance h has been selected to...Ch. 5.2 - Determine by direct integration the centroid of...Ch. 5.2 - 5.34 through 5.36 Determine by direct integration...Ch. 5.2 - 5.34 through 5.36 Determine by direct integration...Ch. 5.2 - 5.37 through 5.39 Determine by direct integration...Ch. 5.2 - 5.37 through 5.39 Determine by direct integration...Ch. 5.2 - Prob. 5.39PCh. 5.2 - 5.40 and 5.41 Determine by direct integration the...Ch. 5.2 - 5.40 and 5.41 Determine by direct integration the...Ch. 5.2 - 5.42 Determine by direct integration the centroid...Ch. 5.2 - 5.43 and 5.44 Determine by direct integration the...Ch. 5.2 - 5.43 and 5.44 Determine by direct integration the...Ch. 5.2 - 5.45 and 5.46 A homogeneous wire is bent into the...Ch. 5.2 - 5.45 and 5.46 A homogeneous wire is bent into the...Ch. 5.2 - A homogeneous wire is bent into the shape shown....Ch. 5.2 - 5.48 and 5.49 Determine by direct integration the...Ch. 5.2 - Prob. 5.49PCh. 5.2 - Prob. 5.50PCh. 5.2 - Determine the centroid of the area shown when a =...Ch. 5.2 - Determine the volume and the surface area of the...Ch. 5.2 - Determine the volume and the surface area of the...Ch. 5.2 - Determine the volume and the surface area of the...Ch. 5.2 - Determine the volume and the surface area of the...Ch. 5.2 - Determine the volume of the solid generated by...Ch. 5.2 - Prob. 5.57PCh. 5.2 - Prob. 5.58PCh. 5.2 - Prob. 5.59PCh. 5.2 - Determine the capacity, in liters, of the punch...Ch. 5.2 - Determine the volume and total surface area of the...Ch. 5.2 - Prob. 5.62PCh. 5.2 - Determine the total surface area of the solid...Ch. 5.2 - Determine the volume of the brass collar obtained...Ch. 5.2 - The shade for a wall-mounted light is formed from...Ch. 5.3 - 5.66 and 5.67 For the beam and loading shown,...Ch. 5.3 - 5.66 and 5.67 For the beam and loading shown,...Ch. 5.3 - 5.68 through 5.73 Determine the reactions at the...Ch. 5.3 - 5.68 through Determine the reactions at the beam...Ch. 5.3 - 5.68 through 5.73 Determine the reactions at the...Ch. 5.3 - 5.68 through Determine the reactions at the beam...Ch. 5.3 - 5.68 through 5.73 Determine the reactions at the...Ch. 5.3 - 5.68 through 5.73 Determine the reactions at the...Ch. 5.3 - Determine (a) the distance a so that the vertical...Ch. 5.3 - Prob. 5.75PCh. 5.3 - Determine the reactions at the beam supports for...Ch. 5.3 - Determine (a) the distributed load w0 at the end D...Ch. 5.3 - The beam AB supports two concentrated loads and...Ch. 5.3 - For the beam and loading of Prob. 5.78, determine...Ch. 5.3 - The cross section of a concrete dam is as shown....Ch. 5.3 - Prob. 5.81PCh. 5.3 - The dam for a lake is designed to withstand the...Ch. 5.3 - Prob. 5.83PCh. 5.3 - The friction force between a 6 6-ft square sluice...Ch. 5.3 - A freshwater marsh is drained to the ocean through...Ch. 5.3 - Prob. 5.86PCh. 5.3 - The 3 4-m side of an open tank is hinged at its...Ch. 5.3 - Prob. 5.88PCh. 5.3 - A 0.5 0.8-m gate AB is located at the bottom of a...Ch. 5.3 - Prob. 5.90PCh. 5.3 - Prob. 5.91PCh. 5.3 - Prob. 5.92PCh. 5.3 - Prob. 5.93PCh. 5.3 - Prob. 5.94PCh. 5.3 - The square gate AB is held in the position shown...Ch. 5.4 - Consider the composite body shown. Determine (a)...Ch. 5.4 - A cone and a cylinder of the same radius a and...Ch. 5.4 - Determine the location of the center of gravity of...Ch. 5.4 - Prob. 5.99PCh. 5.4 - For the stop bracket shown, locate the x...Ch. 5.4 - Fig. P5.100 and P5.101 5.101 For the stop bracket...Ch. 5.4 - For the machine element shown, locate the x...Ch. 5.4 - Fig. P5.102 and P5.103 5.103 For the machine...Ch. 5.4 - For the machine element shown, locate the y...Ch. 5.4 - For the machine element shown, locate the x...Ch. 5.4 - 5.106 and 5.107 Locate the center of gravity of...Ch. 5.4 - 5.106 and 5.107 Locate the center of gravity of...Ch. 5.4 - A corner reflector for tracking by radar has two...Ch. 5.4 - A wastebasket, designed to fit in the corner of a...Ch. 5.4 - Prob. 5.110PCh. 5.4 - Prob. 5.111PCh. 5.4 - Prob. 5.112PCh. 5.4 - Locate the center of gravity of the sheet-metal...Ch. 5.4 - A thin steel wire with a uniform cross section is...Ch. 5.4 - The frame of a greenhouse is constructed from...Ch. 5.4 - Locate the center of gravity of the figure shown,...Ch. 5.4 - PROBLEM 5.117 Locate the center of gravity of the...Ch. 5.4 - A scratch awl has a plastic handle and a steel...Ch. 5.4 - Prob. 5.119PCh. 5.4 - PROBLEM 5.120 A brass collar, of length 2.5 in.,...Ch. 5.4 - Prob. 5.121PCh. 5.4 - Prob. 5.122PCh. 5.4 - Prob. 5.123PCh. 5.4 - Prob. 5.124PCh. 5.4 - PROBLEM 5.125 Locate the centroid of the volume...Ch. 5.4 - PROBLEM 5.126 Locate the centroid of the volume...Ch. 5.4 - Prob. 5.127PCh. 5.4 - Prob. 5.128PCh. 5.4 - PROBLEM 5.129 Locate the centroid of the volume...Ch. 5.4 - Prob. 5.130PCh. 5.4 - Prob. 5.131PCh. 5.4 - PROBLEM 5.132 The sides and the base of a punch...Ch. 5.4 - Locate the centroid of the section shown, which...Ch. 5.4 - Prob. 5.134PCh. 5.4 - Prob. 5.135PCh. 5.4 - Alter grading a lot, a builder places four stakes...Ch. 5 - 5.137 and 5.138 Locate the centroid of the plane...Ch. 5 - 5.137 and 5.138 Locate the centroid of the plane...Ch. 5 - Prob. 5.139RPCh. 5 - Prob. 5.140RPCh. 5 - Prob. 5.141RPCh. 5 - Prob. 5.142RPCh. 5 - Determine the reactions at the supports for the...Ch. 5 - A beam is subjected to a linearly distributed...Ch. 5 - Prob. 5.145RPCh. 5 - Prob. 5.146RPCh. 5 - An 8-in.-diameter cylindrical duct and a 4 8-in....Ch. 5 - Three brass plates are brazed to a steel pipe to...
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- 5.76 Determine the reactions at the beam supports for the given loading when wo = 150 lb/ft. Answer 450 lb/ft 44.1 kip-ft 12 ft CA 2 ft Wo Darrow_forwardAC B P C. Fig. 4.57 Problem Fig. 4.55 Problems 4.7 and 4.8 Problem 4.11 A Problem 4.8 Reconsider the L-shaped beam illustrated in hinged to the wal Fig. 4.55. This time, assume that the applied force P has 2 mmnd it weighs components in the positive x and positive z directions such that P= P,i + Pj. Determine the reactions generated at the fixed end of the beam in terms of a, b, P. and P of the beam and it attached to the bea the horizontal. At t Answers: RA P(-X): RAV 0: RA-P.(-) wall. A load that w such that its gravity bP:(+v): M -a: P(-v): MA -bP.(- load of the same wei nOnt Barrow_forward5.82 The simply supported wood beam, fabricated by gluing together fourwooden boards, carries the three concentrated forces. The working bending and shear stresses for the wood are 1000 psi and 600 psi, respectively. Determine the largest allowable value of the force P.arrow_forward
- 5.60 A derrick carries a 12-Mg crate as shown. Determine the tensions in the cables BF and BG and the reaction from the support at A. 4 m 4 m 6 m Fig. P5.60 B O 12 m 12 Mg EA 12 m 4 m 3 m karrow_forwardA cable AB of span L and a simple beam A'B' of the same span are subjected to identical vertical loadings as shown. Show that the magnitude of the bending moment at a point C' in the beam is equal to the product T0h, where T0 is the magnitude of the horizontal component of the tension force in the cable and h is the vertical distance between point C and the chord joining the points of support A and B.arrow_forwardFor the beam shown, determine (a) the magnitude P of the two upward forces for which the maximum absolute value of the bending moment in the beam is as small as possible, (b) the corresponding value of |M| max.arrow_forward
- 5.74 Determine (a) the distance a so that the vertical reactions at supports A and B are equal, (b) the corresponding reactions at the supports. Answer Fig. P5.74 and P5.75 1800 N/m A 4 m 600 N/m Barrow_forward3.1 A uniform horizontal beam has a length of 8 m and mass of 500 kg. The beam rests on two supports overhanging one by a distance x while the other is at the extreme right-hand end. The loading is 5 tonnes at the left-hand end, 6 tonnes at the mid-point of the beam and 7 tonnes 1 metre from the right-hand end. Determine the value of x if the reaction at the left-hand support is to be twice that at the right-hand support.- Show free-body-diagram and all your workings.arrow_forwardProblem 5.64 2.5 k/ft Draw the shear, bending moment, and axial force diagrams and the qualitative deflected shape for the frame shown. 12 ft 30 k 12 ft D 20 ft FIG. P5.64arrow_forward
- 15. Determine the moment, in kN-m, at x = 5 m distance from the left end of the beam. P1 = 4 kN; P2 = 10 kN; a = b = 2 m, and c = 3 m. a. 4.80 b. 5.73 . P1 b P2 C. 7.71 d. Answer is not among the choicesarrow_forwardTwo live loads of 7 KN and 9 KN separated 5 m apart, are to cross a simple beam. Also, a uniform live load of 6 KN/m, 6 m long, is expected to cross the same beam. The simple supports are marked A and B and a point C is located 4 m from A. Determine: (a) the maximum moment at C due to the two concentrated live loads if the length of the beam is (a.1) 8.4 m; (a.2) 10 m. (b) The maximum moment at C due to the uniform live load if the length of the beam is (b.1) 8.4 m; (b.2) 10 m. (c) The maximum moment in the beam due to the combined effects of the two concentrated live loads and the uniform live loads if the length of the beam is (c.1) 8.4 m; (c.2) 10 m. part (c), I am asking for the ABSOLUTE maximum moment in the beam due to the combined effects of the two live loads and the uniform live load. Please be guided and informed accordingly. Good luck!arrow_forward0.6 m 25 kN/m 40 kN 1.8 m 40 KN C 0.6 m D PROBLEM 5.108 (a) Using singularity functions, write the equations for the shear and bending moment for the beam and loading shown. (b) Determine the maximum value of the bending moment in the beam.arrow_forward
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