Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 9, Problem 8RP
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.
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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.
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
if the maximum and minimum principal stresses at a point are (27 Mpa) and (5 Mpa) respectively.
The maximum shear stress at this point is
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 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_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_forwardDetermine 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_forward
- 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.arrow_forwardDetermine the principal stresses, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the element in each case.arrow_forwardDetermine the equivalent state of stress on an element at the same point which represents the maximum in-plane shear stress and the associated average normal stress. determine the corresponding orientation of the element with respect to the element shown. phase () [m-plane) 25 MP 200 MP - 55.9 MPa,0-50 MPa.0,- 31.7" = 103.1 MPa,da = 7MPa.0, = 103.1 MPa, = -100MPa, 0,38 = 3.1 MPa,0arg = 100 MPa, 0, = -7° <--38"arrow_forward
- The bar has a 100 mm by 15 mm rectangular cross section. The allowable normal and shear stresses on inclined 66° surface a – a must be limited to 50 MPa and 35 MPa, respectively. Determine the 100 mm magnitude of the maximum axial force P that can be applied to the bar, and determine the actual normal and shear Try one stresses acting on inclined plane a – a.arrow_forwardIn each case, the state of stress sx, sy, txy produces normal and shear stress components along section AB of the element that have values of sx = -5 kPa and tx y = 8 kPa when calculated using the stress transformation equations.Establish the x and y axes for each segment and specify the angle u, then show these results acting on each segment.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
- 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.arrow_forwardDetermine (a) the principal stress and (b) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Use Mohr's Circle. Draw Mohr's circle. ksi, -34.2 ksi, 19.3°, 19.2 ksi, -15 ksi, 64.3°) (ANS: 4.21 12 ksi 30 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_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