Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Question
Chapter 5.3, Problem 5.86P
To determine
The maximum allowable depth of water in the tank.
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The 3 × 4-m side AB of a tank is hinged at its bottom A and is held in place by a thin rod BC. The maximum tensile force the rod can withstand without breaking is 200 kN, and the design specifications require the force in the rod not to exceed 20 percent of this value. If the tank is slowly filled with water, determine the maximum allowable depth of water d in the tank.
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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 - 5.1 through 5.9 Locate the centroid of the plane...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 - 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 - Prob. 5.7PCh. 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 - Prob. 5.11PCh. 5.1 - Locate the centroid of the plane area shown.Ch. 5.1 - Prob. 5.13PCh. 5.1 - 5.10 through 5.15 Locate the centroid of the plane...Ch. 5.1 - Prob. 5.15PCh. 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 - Prob. 5.20PCh. 5.1 - Prob. 5.21PCh. 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 - Prob. 5.24PCh. 5.1 - Prob. 5.25PCh. 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 - 5.34 through 5.36 Determine by direct integration...Ch. 5.2 - 5.34 through 5.36 Determine by direct integration...Ch. 5.2 - 5.34 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 - Prob. 5.52PCh. 5.2 - 5.53 Determine the volume and the surface area of...Ch. 5.2 - Determine the volume and the surface area of the...Ch. 5.2 - Prob. 5.55PCh. 5.2 - Prob. 5.56PCh. 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 - Prob. 5.64PCh. 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 - Prob. 5.67PCh. 5.3 - Prob. 5.68PCh. 5.3 - Prob. 5.69PCh. 5.3 - Prob. 5.70PCh. 5.3 - Prob. 5.71PCh. 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 - 5.76 Determine the reactions at the beam supports...Ch. 5.3 - Prob. 5.77PCh. 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 - 5.84 An automatic valve consists of a 9 × 9-in....Ch. 5.3 - 5.85 An automatic valve consists of a 9 × 9-in....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 - Prob. 5.97PCh. 5.4 - Prob. 5.98PCh. 5.4 - Prob. 5.99PCh. 5.4 - Prob. 5.100PCh. 5.4 - Prob. 5.101PCh. 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 - Prob. 5.110PCh. 5.4 - Prob. 5.111PCh. 5.4 - Prob. 5.112PCh. 5.4 - Prob. 5.113PCh. 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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- The rectangular panel, which is 4 m wide, 3 m high block the end of a 3 m deep water channel. The is suspended around a horizontal axis along its upper edge through point B and is prevented from opening by a fixed edge at point C. Determine the force which is exterted on the panel by the ridge as shown in fig.(2).arrow_forwardQ.1 A rod is made of wrought iron and is secured to the piston by a tapered rod and nut and to the crosshead by a cotter. Determine the diameter of a piston rod for a cylinder of 1.8 m diameter in which the greatest difference of steam pressure on the two sides of the piston is 0.3 N/mm2. The length of the rod is 2.5 m. The modulus of elasticity is 210 kN/mm2 and the factor of safety is 6.arrow_forwardDetermine by direct integration the centroid of the area shown. Express your answer in terms of and a and b.arrow_forward
- Problem 1. Neglecting the weight of the hinged gate, determine the depth h at which the gate shown below will open. The gate width is 5 m. (Ans: √√3) h Hinge 1 marrow_forward5.115 and 5.116 Locate the center of gravity of the figure shown, knowing that it is made of thin brass rods of uniform diameter. B D Fig. P5.116 r = 16 in. E 30 in.arrow_forwardD 4.8 in. C 1.84 in. B 0.8 in. 5.6 in. 2.4 in. 1.6 in. Fig. P4.43 and P4.44 4.44 A parabolic slot has been cut in plate AD, and the plate has been placed so that the slot fits two fixed, frictionless pins B and C. The equation of the slot is y = x²/4, where x and y are expressed in inches. Knowing that the maximum allowable force exerted on the roller at D is 2 lb, determine (a) the corresponding magnitude of the input force P, (b) the force each pin exerts on the plate.arrow_forward
- Determine by direct integration the centroid of the area shown. Fig. P5.34 y h Xarrow_forwardProblem 4.1Given: A barge may be assumed as a rectangular prism (or cuboid) with a length between perpendiculars of 70 ft., a beam of 30 ft., and a depth of ship of 6 ft. The ship weighs 150 tons (US “short ton”) and this weight may be assumed uniformly distributed in the volume of the ship. The following Cargo was loaded along the center line of the ship relative to the deck (top) of the ship. Required: Considering ONLY transverse stability,a) Find the buoyant force and draft of the vessel.arrow_forwardLocate the centroid of the plane area shown.arrow_forward
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