Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 9.4, Problem 9.64P
Determine the principal stresses, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the element in each case.
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a. Determine the principal stresses at point A on the cross section of the wrench at section a-a. Also Specify the orientation for this state of stress.
b. Determine maximum in-plane shear stress at point A on the cross section of the wrench at section a-a. Also Specify the orientation for this state of stress.
Two blocks joined by a single pin are subjected to a pulling force of P = 250 Ib. The pin has a diameter of 0.25 in and the
dimensions of the blocks with respect to the figure below are listed below.
a = 2.42 in
b = 1.52 in
C = 1.5 in
ti = 0.89 in
t2 = 1.2 in
Note that the dimensions b and c represent the distance from the edge of the block to the middle of the pin
t, 1
a
Vinter201920-Engr220-001/images/9de8f780-b478-3fb6-91f7-bd1015381538_fafc4bb4-e5d
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The question is related to Mohr’s circle and is attached as an image.
Chapter 9 Solutions
Mechanics of Materials
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...
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- Determine the equivalent state of stress on an element if it is oriented 30° clockwise from the element shown. Use the stress-transformation equations. 300 MPa 950 MParrow_forwardThe figure shows the stresses at a point. Determine the principal stresses and the maximum shear stress. Show these values on the faces of properly oriented stress blocks.arrow_forwardDetermine the equivalent state of stress on an element at the same point oriented 60° counterclockwise with respect to the element shown. Sketch the results on the elementarrow_forward
- 1. Find the average normal stress. 2. Find the maximum in-plane shear stress.arrow_forwardAt a point in a strained material the principal stresses are 200 N/mm2 (tensile) and 120 N/mm2 (compressive). Determine the normal stress, shear stress and resultant stress on a plane inclined at 30° to the axis of major principal stress. Also determine the maximum shear stress at the point.arrow_forward1) Determine the principal stresses at point A on the cross-section of the wrench at section a-a. 2) Specify the orientation for this state of stress. 3) Determine maximum in-plane shear stress at point A� on the cross-section of the wrench at section a-a. 4) Specify the orientation for this state of stress.arrow_forward
- For the shaft shown below, determine the normal and shear stresses acting on the element located at point A, including stress concentrations. Then draw the stress element at A with the applied stresses and determine the three principal stress (0₁, 2 and, σ3) using Mohr's circle. r = 0.0042 m, d = 0.03 m, D = 0.033 m, T = 250 Nm P = 1500 N, M = 300 Nm, A M M DEHRƏC T d T P P rarrow_forwardDetermine the equivalent state of stress on an element at the same point oriented 60° clockwise with respect to the element shown. Sketch the results on the element. 100 MPa 150 MPa T Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. 200 MPa 100 MPa 75 MPa 300 MPaarrow_forwardAt a point in a component, the state of stress is shown on the element below. Assume that the stress magnitudes are sy- 8544 psi and Sy = 4835 psi. The stresses act in the directions indicated in the figure. Determine the magnitude of the absolute maximum shear stress that acts at the point. Answer: Tmax=i psi %3Darrow_forward
- The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Draw Mohr's circle and show the stresses on the circle. 15 ksi 23 ksi 14 ksiarrow_forwardConsider the general case of plane stress as shown. Write a computer program that will show a plot of the three Mohr’s circles for the element, and will also determine the maximum in-plane shear stress and the absolute maximumshear stress.arrow_forwardThe 20 mm diameter rod is subjected to the loads shown.(a) Determine the state of stress at point and show the results on a differential element located at this point.(b) Using Mohr's circle, determine the maximum normal stress and the maximum in-plane shearing stress at point A and show the associated stress states on appropriately oriented elements, for cach case.arrow_forward
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Understanding Stress Transformation and Mohr's Circle; Author: The Efficient Engineer;https://www.youtube.com/watch?v=_DH3546mSCM;License: Standard youtube license