10th Edition

ISBN: 9780134319650

Author: Russell C. Hibbeler

Publisher: PEARSON

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Chapter 9.5, Problem 9.77P

Draw the three Mohr’s circles that describe each of the following states of stress.

Chapter 9.5, Problem 9.77P, Draw the three Mohrs circles that describe each of the following states of stress.

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Chapter 9.4, Problem 9.76P

Chapter 9.5, Problem 9.78P

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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 (10th Edition)

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 - Determine the stress components acting on the...

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