CE 99 STATICS-W/ACCESS (LL) >IP<
12th Edition
ISBN: 9781260514100
Author: BEER
Publisher: MCG
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Textbook Question
Chapter 5.3, Problem 5.78P
The beam AB supports two concentrated loads and rests on soil that exerts a linearly distributed upward load as shown. Determine the values of wA and wB corresponding to equilibrium.
Fig. P5.78
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%3D
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Chapter 5 Solutions
CE 99 STATICS-W/ACCESS (LL) >IP<
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 - For the area shown, determine the ratio a/b for...Ch. 5.1 - For the semiannular area of Prob. 5.12, determine...Ch. 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 - A thin, homogeneous wire is bent to form the...Ch. 5.1 - A thin, homogeneous wire is bent to form the...Ch. 5.1 - The homogeneous wire ABC is bent into a...Ch. 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 - Determine the distance h for which the centroid of...Ch. 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 - 5.37 through 5.39 Determine by direct integration...Ch. 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 - Determine by direct integration the centroid of...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 - 5.48 and 5.49 Determine by direct integration the...Ch. 5.2 - Determine the centroid of the area shown in terms...Ch. 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 - Verify that the expressions for the volumes of the...Ch. 5.2 - Knowing that two equal caps have been removed from...Ch. 5.2 - Three different drive belt profiles are to be...Ch. 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 - Determine the volume and weight of the solid brass...Ch. 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 - Determine (a) the distance a so that the reaction...Ch. 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 - The cross section of a concrete dam is as shown....Ch. 5.3 - The dam for a lake is designed to withstand the...Ch. 5.3 - The base of a dam for a lake is designed to resist...Ch. 5.3 - Prob. 5.84PCh. 5.3 - Prob. 5.85PCh. 5.3 - The 3 4-m side AB of a tank is hinged at its...Ch. 5.3 - The 3 4-m side of an open tank is hinged at its...Ch. 5.3 - A 0.5 0.8-m gate AB is located at the bottom of a...Ch. 5.3 - A 0.5 0.8-m gate AB is located at the bottom of a...Ch. 5.3 - A 4 2-ft gate is hinged at A and is held in...Ch. 5.3 - Fig. P5.90 5.91 Solve Prob. 5.90 if the gate...Ch. 5.3 - A prismatically shaped gate placed at the end of a...Ch. 5.3 - A prismatically shaped gate placed at the end of a...Ch. 5.3 - A long trough is supported by a continuous hinge...Ch. 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 - Prob. 5.102PCh. 5.4 - Prob. 5.103PCh. 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 - An elbow for the duct of a ventilating system is...Ch. 5.4 - A window awning is fabricated from sheet metal...Ch. 5.4 - Locate the center of gravity of the sheet-metal...Ch. 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 - Prob. 5.117PCh. 5.4 - A scratch awl has a plastic handle and a steel...Ch. 5.4 - PROBLEM 5.117 A bronze bushing is mounted inside a...Ch. 5.4 - PROBLEM 5.120 A brass collar, of length 2.5 in.,...Ch. 5.4 - PROBLEM 5.121 The three legs of a small...Ch. 5.4 - Prob. 5.122PCh. 5.4 - Determine by direct integration the values of x...Ch. 5.4 - Prob. 5.124PCh. 5.4 - PROBLEM 5.125 Locate the centroid of the volume...Ch. 5.4 - Prob. 5.126PCh. 5.4 - Prob. 5.127PCh. 5.4 - PROBLEM 5.128 Locate the centroid of the volume...Ch. 5.4 - PROBLEM 5.129 Locate the centroid of the volume...Ch. 5.4 - Show that for a regular pyramid of height h and n...Ch. 5.4 - PROBLEM 5.131 Determine by direct integration the...Ch. 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 - Locate the centroid of the section shown, which...Ch. 5.4 - Determine by direct integration the location of...Ch. 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 - Determine by direct integration the centroid of...Ch. 5 - Determine by direct integration the centroid of...Ch. 5 - The escutcheon (a decorative plate placed on a...Ch. 5 - Determine the reactions at the supports for the...Ch. 5 - A beam is subjected to a linearly distributed...Ch. 5 - A tank is divided into two sections by a 1 1-m...Ch. 5 - Determine the y coordinate of the centroid of the...Ch. 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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- 6.35 Determine the components of the forces acting on each member of the pin-connected frame shown. D 1 ft C 3 ft –3 ft F E 4 ft P = 2.5 kip -B 2 ft A PROB. 6.35 REPORT POSITIVE (+) MAGNITUDES FOR ALL VALUESarrow_forward5.76 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_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_forward
- 1.25 m 1.25 m² 3 m 1.5 m B G 5 kN 0.751 0.75 m x The rigid L-shaped member ABC is supported by a ball-and-socket joint at A and by three cables. Determine the tension in each cable and the reaction at A caused by the 5-kN load applied at G.arrow_forward40 lb 50 lb 30 lb 10 lb 6 in. 6 in. 8 in. 4.7 A T-shaped bracket supports the four loads shown. Determine the reactions at A and B (a) if a = 10 in., (b) if a = 7 in. Fig. P4.7arrow_forward2. A 800-N weight is attached at A to the lever shown. The constant of the spring BC is k=250 N/cm, and thespring is unstretched when theta=theta. Determine the position of equilibrium.arrow_forward
- Solve Prob. 4.99, assuming that the small block C is moved and placed under edge DE at a point 0.15 m from corner E.(Reference to Problem 4.99):An opening in a floor is covered by a 1 × 1.2-m sheet of plywood with a mass of 18 kg. The sheet is hinged at A and B and is maintained in a position slightly above the floor by a small block C . Determine the vertical component of the reaction (a) at A, (b) at B, (c) at C.arrow_forward3: A pulley 4 mm in diameter and supporting a load 200 N is mounted at B on horizontal beam as shown in Fig.1. Determine the reaction at A and C. 60 C B 4 mm 2 mm 2 mm 200 N Fig.1arrow_forwardSTATICS 1. Three bars, hinged at A and D and pinned at B and C as shown, form a four-link mechanism. Determine the value of P that will prevent motion. ( 60° В 45° 45 60" P 20 kN A. 2. Solve for resultant and compute the values of P and F. Assuming each side is 1' A B D 361 Ib 3. Determine the reactions at A, B, C, and D W = 200 kN W = 400 kN 1m 2 m 5.6 marrow_forward
- Problem 3.7 The simple structure shown in Fig 3.35 is called a cantilever beam and is one of the fundamental mechanical elements in engineering. A cantilever beam is fixed at one end and free at the other. In Fig. 3.35, the fixed and free ends of the beam are identified as points A and C, respectively. Point B correspondks to the center of gravity of in the beam. Assume that the beam shown has a weight W = 100 N and a length /=1m. A force with magnitude F= 150 N is applied at the free-end of the beam in a direction that makes an angle 0- 45" with the hon zontal. Determine the magnitude and direction of the net moment developed at the fixed-end of the be am, Pr Fig arm the f (a) I th WE ex ind Answer, MA 56 N-m (ccw). Fig. 3.35 A cantuleverlam Fig. 3.37 IPro ype here to searcharrow_forward0.2 m 0.7 m y 0.6 m D 0.9 m 0.4 m 0.3 m C E 0.9 m B 0.6 m 0.35 m 0.4 m 0.6 m x PROBLEM 3.59 The triangular plate ABC is supported by ball-and-socket joints at B and D and is held in the position shown by cables AE and CF. If the force exerted by cable AE at A is 55 N, determine the moment of that force about the line joining Points D and B.arrow_forward► 5.76 State whether each of the L-shaped bars shown is properly or improperly supported. If a bar is properly supported, determine the reactions at its supports. (See Active Example 5.6.) A F H B |²| (1) A INTIN F (3) MA F -L- (2)arrow_forward
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