Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 9.5, Problem 77P
Draw the three Mohr’s circles that describe each of the following states of stress.
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Students have asked these similar questions
The state of stress at a point on an element of material is shown. Let sigmaX= 49.0 ksi, sigmaY= 17.0 ksi, and Txy= 11.0 ksi. Use this information to represent the principle state of stress and maximum in plane shear stress. Plot the mohr circle and state sigmaX' and sigmaY' and Tx'y' with unit. Also draw the state of stress on the rotated element.
Q-1) For the given state of stress,
(a) draw Mohr's circle for this state of stress and show all values on it
(b) determine the principal planes and the principal stresses,
(c) determine the normal and shearing stresses after the element shown has been rotated through
25° clockwise,
(d) determine the normal and shearing stresses after the element shown has been rotated through
10° counterclockwise.
(e) Show the Gmax, min. Op, Os, Tmaxs o' values on an appropriate plane stress sketch.
NOTE: The problem will be solved by only MOHR CIRCLE Method and all stresses and
angles will be computed and indicated on Mohr Circle. All steps of solution will be displayed.
Analytical solution will not be graded.
90 MPa
+
30 MPa
60 MPa
Determine the resulting maximum value of the normal stress. Specify the orientation of the plane on which these maximum values occur.
**The answer is tensile stress is 0 ksi at 90 degrees.
**The answer is compressive stress is 7 ksi at 0 degrees.
Can you explain how that is? This was my thought process: I know that tensile would be zero because the force P is actually going inwards and not outwards. I know that means that there would be a compressive force. I am confused on the angles, how is a tensile force going 90 degress if there technically is no force in the tensile direction. And how is there a compressive force at 90 degrees if there is a stress? thank you!
Chapter 9 Solutions
Mechanics of Materials
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 - Determine the stress components acting on the...Ch. 9.3 - Solve Prob.99 using the stress transformation...Ch. 9.3 - Determine the stress components acting on the...Ch. 9.3 - Determine the equivalent state of stress on an...
Ch. 9.3 - The stress along two planes at a point is...Ch. 9.3 - The state of stress at a point in a member is...Ch. 9.3 - The wood beam is subjected to a load of 12 kN. If...Ch. 9.3 - The internal loadings at a section of the beam are...Ch. 9.3 - Solve Prob.925 for point B. 925. The internal...Ch. 9.3 - Solve Prob.925 for point C. 925. The internal...Ch. 9.3 - It is subjected to a torque of 12 kip in. and a...Ch. 9.3 - A paper tube is formed by rolling a cardboard...Ch. 9.3 - Solve Prob.931 for the normal stress acting...Ch. 9.3 - Determine the principal stresses in the...Ch. 9.3 - The shaft has a diameter d and is subjected to the...Ch. 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 - Mohrs circle for the state of stress is shown in...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Determine the equivalent state of stress if an...Ch. 9.4 - Draw Mohrs circle that describes each of the...Ch. 9.4 - Draw Mohrs circle trial describes each of the...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Draw Mohrs circle that describes each of the...Ch. 9.4 - The grains of wood in the board make an angle of...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 - 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. 9.5 - Draw the three Mohrs circles that describe each of...Ch. 9.5 - Draw the three Mohrs circles that describe the...Ch. 9.5 - Determine the principal stresses and the absolute...Ch. 9.5 - The solid shaft is subjected to a torque, bending...Ch. 9.5 - The frame is subjected to a horizontal force and...Ch. 9 - Prob. 1RPCh. 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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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
- The element in the image has a horizontal force of 20 N and a vertical force of 25 N. The element was made of a 25.4 mm diameter steel bar. Determine:to. The four states of stress from the farthest place of the forces and obtain the critical point.b. For the critical point, construct the Mohr circle.C. Obtain the maximum principal and normal shear stresses for the critical point.d. The angles at which the maximum normal and shear stresses occur.and. Draw the rotated tension state for the angles obtained and with the corresponding tensions.arrow_forwardThe 20 mm diameter rod is subjected to the loads shown. (a) Determine the state of stress at point A 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 each case. 75 mm 375 N B 200 mm 450 Narrow_forwardPlease Solve correctly using Mohr's Circle!!!arrow_forward
- Illistrate Mohr's circle for the given plane stress state. Including the coordinates of the points, show the points with the faces of the figure, the center of the circle and the magnitude of the radius. 7. 3kPa 5kPa 1kPaarrow_forwardProblem 1: A state of plane stress at a point on the surface of a structure consists of the following stress components: Ox = 25 ksi, oy = 12 ksi, and Txy = 10 ksi. Note that the stress components act in the directions shown on the element below. Ox Txy 12 ksi 5 25 ksi 10 ksi (a) Draw a complete Mohr's circle for this stress state. Clearly label the X and Y faces, the center C, and the radius R. (b) Using Mohr's circle, determine the principal stresses, the maximum in-plane shear stress, and the normal stress that acts on the maximum shear stress plane. Label all of these quantities on the circle. (c) Calculate the orientation of the principal planes and the planes of maximum shear stress. Label all of these quantities on the circle. (d) Show all stresses from part (b) on properly oriented stress element(s). Be sure to include all stress components acting on the elements(s).arrow_forwardUse mohr Circle Use mohr circle Use mohr circle Use mohr circlearrow_forward
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