MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 9.4, Problem 56P
Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case.
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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
Image is not drawn to scale.
Determine 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 MPa
The question is related to Mohr’s circle and is attached as an image.
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
- Determine the principal stresses, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the element in each case.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_forwardDetermine (a) the principal stresses and (b) the maximum shear stress and associated normal stress at the point in Figure 5. Specify and sketch the orientation of the element in each case. The directions of the stress components are as indicated in Figure 5. 20 MPa 60 MPaarrow_forward
- Determine 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_forwardThe 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_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_forward
- Determine the equivalent state of stresses in an element at the point representing (a) the principal stresses and (b) the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding orientation of the element with respect to the element shown and sketch the results on the element. 50 MPa 15 MPaarrow_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.arrow_forwardDetermine (a) the principal stresses and (b) the maximum shear stress and associated normal stress at the point in Figure 4. Specify and sketch the orientation of the element in each case. The directions of the stress components are as indicated in Figure 4. 100 MPa 200 MPa 300 MPaarrow_forward
- The 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 if it is oriented 30° clockwise from the element shown. Use the stress-transformation equations. 300 MPa 950 MParrow_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_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