MECHANICS OF MATERIALS-TEXT
9th Edition
ISBN: 2810014920922
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 9.3, Problem 9.26P
To determine
The principal stresses.
The maximum in-plane shear stress at point A.
The orientation of the state of stress.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
9₁
A
Insulated boundary
Insulated boundary
dx
Let's begin with the strong form for a steady-state one-dimensional heat
conduction problem, without convection.
d dT
+ Q =
dx dx
According to Fourier's law of heat conduction, the heat flux q(x), is
dT
q(x)=-k
dx. x
Q is the internal heat source, which heat is generated per unit time per unit
volume. q(x) and q(x + dx) are the heat flux conducted into the control
volume at x and x + dx, respectively. k is thermal conductivity along the x
direction, A is the cross-section area perpendicular to heat flux q(x). T is the
temperature, and is the temperature gradient.
dT
dx
1. Derive the weak form using w(x) as the weight function.
2. Consider the following scenario: a 1D block is 3 m long (L = 3 m), with
constant cross-section area A = 1 m². The left free surface of the block
(x = 0) is maintained at a constant temperature of 200 °C, and the right
surface (x = L = 3m) is insulated. Recall that Neumann boundary
conditions are naturally satisfied…
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
Chapter 9 Solutions
MECHANICS OF MATERIALS-TEXT
Ch. 9.3 - In each case, the state of stress x, y, xy...Ch. 9.3 - Given the state of stress shown on the element,...Ch. 9.3 - Determine the normal stress and shear stress...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Also, find the corresponding orientation of the...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Determine the maximum principal stress at point B.Ch. 9.3 - Determine the principal stress at point C.Ch. 9.3 - Prove that the sum of the normal stresses x + y =...Ch. 9.3 - 9-2. The state of stress at a point in a member is...
Ch. 9.3 - Determine the stress components acting on the...Ch. 9.3 - Determine the normal stress and shear stress...Ch. 9.3 - Determine the normal stress and shear stress...Ch. 9.3 - 9-6. Determine the normal stress and shear stress...Ch. 9.3 - 9-7. Determine the normal stress and shear stress...Ch. 9.3 - *9-8. Determine the equivalent state of stress on...Ch. 9.3 - 9-9. Determine the equivalent state of stress on...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Determine the equivalent slate of stress on an...Ch. 9.3 - *9-12. Determine the equivalent state of stress on...Ch. 9.3 - 9-13. Determine the equivalent state of stress on...Ch. 9.3 - 9-14. The state of stress at a point is shown on...Ch. 9.3 - The state of stress at a point is shown on the...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - A point on a thin plate is subjected to the two...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - *9-20. Planes AB and BC at a point are subjected...Ch. 9.3 - The stress acting on two planes at a point is...Ch. 9.3 - The grains of wood in the board make an angle of...Ch. 9.3 - The wood beam is subjected to a load of 12 kN. If...Ch. 9.3 - *9-24. The wood beam is subjected to a load of 12...Ch. 9.3 - 9-25. The wooden block will fail if the shear...Ch. 9.3 - 9-26. The bracket is subjected to the force of 3...Ch. 9.3 - 9-27. The bracket is subjected to the force of 3...Ch. 9.3 - 9-28. The 25-mm thick rectangular bar is subjected...Ch. 9.3 - 9-29. The 3-in. diameter shaft is supported by a...Ch. 9.3 - 9-30. The state of stress at a point in a member...Ch. 9.3 - 9-31. Determine the principal stress at point A on...Ch. 9.3 - 9-32. Determine the maximum in-plane shear stress...Ch. 9.3 - 9-33. The clamp bears down on the smooth surface...Ch. 9.3 - 9-34. Determine the principal stress and the...Ch. 9.3 - 9-35. The square steel plate has a thickness of 10...Ch. 9.3 - *9-36. The square steel plate has a thickness of...Ch. 9.3 - The shaft has a diameter d and is subjected to the...Ch. 9.3 - Prob. 9.38PCh. 9.3 - Prob. 9.39PCh. 9.3 - The wide-flange beam is subjected to the 50-kN...Ch. 9.3 - Solve Pro b. 9-40 for point B located on the web...Ch. 9.3 - Prob. 9.42PCh. 9.3 - Prob. 9.43PCh. 9.4 - Use Mohrs circle to determine the normal stress...Ch. 9.4 - Also, find the corresponding orientation of the...Ch. 9.4 - Draw Mohrs circle and determine the principal...Ch. 9.4 - Determine the principal stresses at a point on the...Ch. 9.4 - Determine the principal stresses at point A on the...Ch. 9.4 - Point A is just below the flange.Ch. 9.4 - Solve Prob.93 using Mohrs circle. 93. Determine...Ch. 9.4 - 9-45. Solve Prob. 9-6 using Mohr’s circle.
9-6....Ch. 9.4 - 9-46. Solve Prob. 9-14 using Mohr’s circle.
9-14....Ch. 9.4 - Solve Prob.911 using Mohrs circle. 911. Determine...Ch. 9.4 - *9-48. Solve Prob. 9-12 using Mohr’s...Ch. 9.4 - Solve Prob.916 using Mohrs circle. 916. Determine...Ch. 9.4 - Mohrs circle for the state of stress is shown in...Ch. 9.4 - Prob. 9.51PCh. 9.4 - Prob. 9.52PCh. 9.4 - 9-53. Determine the equivalent state of stress if...Ch. 9.4 - Prob. 9.54PCh. 9.4 - Prob. 9.55PCh. 9.4 - Prob. 9.56PCh. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - 9-58. Determine the equivalent state of stress if...Ch. 9.4 - Prob. 9.59PCh. 9.4 - Prob. 9.60PCh. 9.4 - 9-61. Draw Mohr’s circle that describes each of...Ch. 9.4 - The grains of wood in the board make an angle of...Ch. 9.4 - The post is fixed supported at its base and a...Ch. 9.4 - Determine the principal stresses, the maximum...Ch. 9.4 - The thin-walled pipe has an inner diameter of 0.5...Ch. 9.4 - 9-66. Determine the principal stress and maximum...Ch. 9.4 - Prob. 9.67PCh. 9.4 - The rotor shaft of the helicopter is subjected to...Ch. 9.4 - The pedal crank for a bicycle has the cross...Ch. 9.4 - A spherical pressure vessel has an inner radius of...Ch. 9.4 - The cylindrical pressure vessel has an inner...Ch. 9.4 - Determine the normal and shear stresses at point D...Ch. 9.4 - Determine the principal stress at point D, Which...Ch. 9.4 - If the box wrench is subjected to the 50 lb force,...Ch. 9.4 - If the box wrench is subjected to the 50-lb force,...Ch. 9.4 - Prob. 9.76PCh. 9.5 - Draw the three Mohrs circles that describe each of...Ch. 9.5 - Draw the three Mohrs circles that describe the...Ch. 9.5 - 9-79. The stress at a point is shown on the...Ch. 9.5 - Determine the principal stresses and the absolute...Ch. 9.5 - 9-81. The stress at a point is shown on the...Ch. 9.5 - Determine the principal stresses and the absolute...Ch. 9.5 - Determine the principal stresses and the absolute...Ch. 9.5 - Prob. 9.85PCh. 9.5 - Prob. 9.86PCh. 9.5 - 9-87. Determine the principal stresses and...Ch. 9.5 - *9.88. Determine the principal stresses and...Ch. 9 - Prob. 9.89RPCh. 9 - Prob. 9.90RPCh. 9 - Prob. 9.91RPCh. 9 - The steel pipe has an inner diameter of 2.75 in....Ch. 9 - Determine the equivalent state of stress If an...Ch. 9 - The crane is used to support the 350-lb load....Ch. 9 - Determine the equivalent state of stress on an...Ch. 9 - The propeller shaft of the tugboat is subjected to...Ch. 9 - Determine the principal stresses in the box beam...Ch. 9 - Determine (a) the principal stresses and (b) the...Ch. 9 - Determine the stress components acting on the...
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
- 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 4arrow_forward2. 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_forward
- 5. 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_forward8. 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_forward
- 3. 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_forwardA 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_forward
- The 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_forwardThe 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Hand Tools; Author: UCI Media;https://www.youtube.com/watch?v=4o0tqF0jDdo;License: Standard Youtube License