VECTOR MECHANICS FOR ENGINEERS: STATICS
12th Edition
ISBN: 9781259977121
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5.3, Problem 5.79P
For the beam and loading of Prob. 5.78, determine (a) the distance a for which wA = 20 kN/m, (b) the corresponding value of wB.
In the following problems, use γ = 62.4 lb/ft3 for the specific weight of fresh water and γc = 150 Ib/ft3 for the specific Weight of concrete if U.S. customary units are used. With SI units, use ρ = 103 kg/m3 for the density of fresh water and ρc = 2.40 × 103 kg/m3 for the density of concrete. (See the footnote on page 236 for how to determine the specific weight of a material given its density.)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1 - Clearly identify the system and its mass and energy exchanges between each system and its surroundings by drawing a box to represent the system boundary, and showing the exchanges by input and output arrows. You may want to search and check the systems on the Internet in case you are not familiar with their operations.
A pot with boiling water on a gas stove
A domestic electric water heater
A motor cycle driven on the roadfrom thermodynamics
You just need to draw and put arrows on the first part a b and c
7. A distributed load
w(x) = 4x1/3
acts on the beam AB shown in Figure 7, where x is measured in meters and w is in kN/m. The
length of the beam is L = 4 m. Find the moment of the resultant force about the point B.
w(x) per unit length
L
Figure 7
B
4. The press in Figure 4 is used to crush a small rock at E. The press comprises three links ABC,
CDE and BG, pinned to each other at B and C, and to the ground at D and G. Sketch free-body
diagrams of each component and hence determine the force exerted on the rock when a vertical
force F = 400 N is applied at A.
210
80
80
C
F
200
B
80
E
60%
-O-D
G
All dimensions in mm.
Figure 4
Chapter 5 Solutions
VECTOR MECHANICS FOR ENGINEERS: STATICS
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 2. Figure 2 shows a device for lifting bricks and concrete blocks. It comprises two compo- nents ABC and BD, with a frictionless pin at B. Determine the minimum coefficient of friction required at A and D if the device is to work satisfactorily. W all dimensions in inches Figure 2 Darrow_forward1. The shaft AD in Figure 1 supports two pulleys at B and C of radius 200 mm and 250 mm respectively. The shaft is supported in frictionless bearings at A and D and is rotating clockwise (when viewed from the right) at a constant speed of 300 rpm. Only bearing A can support thrust. The tensions T₁ = 200 N, T₂ = 400 N, and T3 = 300 N. The distances AB = 120 mm, BC = 150 mm, and CD120 mm. Find the tension 74 and the reaction forces at the bearings. A T fo Figure 1arrow_forward5. Figure 5 shows a two-dimensional idealization of the front suspension system for a car. During cornering, the road exerts a vertical force of 5 kN and a leftward horizontal force of 1.2 kN on the tire, which is of 510 mm diameter. Draw free-body diagrams of each component and determine the forces transmitted between them. 250 A -320 B 170 D 170 -220-220- all dimensions in mm. Figure 5arrow_forward
- 8. The force F in Figure 8 is 120 lb and the angle 0 = 25°. Find the axial force N, the shear force V and the bending moment M at the point K which is midway between B and C and illustrate their directions on a sketch of the segment KCD. E -0 B K అ D H 7 A- all dimensions in inches Figure 8 Ꮎ G Farrow_forward6. Determine the coordinates x, y of the centroid of the area shaded in Figure 6. y y=x³ Figure 6 3arrow_forward3. Use the method of sections to determine the forces in the members BD, CD, CE in the struc- ture of Figure 3. A B D 4 kN 6 kN all dimensions in meters. Figure 3arrow_forward
- A pipeline engineer is considering alternative natural gas pipeline routings. The first route is mostly over land and the second is primarily undersea. Both pipelines will need some valve and fitting replacements in year 25. Cost data for each route is shown in Table P2.21. Notice that the undersea route has a higher initial cost due to higher installation costs and extra corrosion protection for the pipeline. However, the undersea route has cheaper security and maintenance costs which substantially reduces annual costs. The MARR for the project is 15%. Determine which route should be pursued based on a present worth analysis.arrow_forwardThe state of stress at a point is σ = -4.00 kpsi, σy Tyz = 8.000 kpsi, and T₂ = -14.00 kpsi. What is the maximum shear stress for this case? The maximum shear stress is kpsi. = 16.00 kpsi, σ = -14.00 kpsi, Try = 11.00 kpsi,arrow_forwardThe initial cost of a proposed heat recovery system is $375,000. The annual operation andmaintenance costs are projected to be $12,000. The salvage value of the system at the end of itsuseful life (projected to be 30 years) is $60,000. The annual savings in fuel costs resulting fromthis system are estimated to be $55,000 per year.a. Assuming annual compounding, determine the rate of return for this heat recovery system.b. If management has set the MARR to be 15% for a heat recovery system like this, what is themaximum initial cost that can be spent on the system (assuming that all other costs and incomesare the same)?arrow_forward
- The initial cost of a machine for a production facility is $225,000. The machine is expected tolast for 10 years with no salvage value. The company’s tax rate is 49% and SLD is used todepreciate the machine. For this type of depreciation, the tax life of the machine is considered 8years and its salvage value is $5,000. The after-tax rate of return is 14.3%. Determine the uniformannual before-tax cash flow.arrow_forwardThree alternatives are being considered for an air cleaning system. All three systems have a lifeof 10 years with no salvage value. System A has an initial cost of $29,000. During the first fiveyears of operation, the annual costs to operate system A are $5,000. During the second five years,the annual cost of system A increases to $16,000. System B has an initial cost of $43,000. Theannual cost to operate system B is $4,000, however, after the first year, this cost increases by$1,600 per year. System C has an initial cost of $58,000 with an annual cost of $2,400. System Crequires two upgrades: one during year 4 which costs $6,000, and the other during year 8 whichcosts $3,000. The MARR for this project is 17%. Determine which air cleaning system should beinstalled based on an economic analysis.arrow_forwardShow all work as much as you can and box out answersarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
Column buckling; Author: Amber Book;https://www.youtube.com/watch?v=AvvaCi_Nn94;License: Standard Youtube License