Determine (a) the principal stress and (b) the maximum in-plane shear stress and average normal stress at thepoint. 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: 4.2112 ksi30 ksi

The principal stresses and maximum in-plane shear stress for the given state of stress using Mohr's…

Answered: Determine (a) the principal stress and…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.21P: An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec...

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An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec figure). On this inclined clement, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an clement whose sides are parallel to the xy axes, that is, determine crv, tr(_, and t. Show the results on a sketch of an clement oriented at B = 10
The figure depicts the state of plane stress at a point. Sketch Mohr's circle 20,, o,, 02, and TMax for stress. Indicate on your drawing the following InPlane 13 ksi 2.5 ksi 25 ksi 25 ksi 13 ksi Determine the following: 01. O2. 0p. |TMaxl-
4 ksi The state of plane stress at a point is shown on the element. (a) Draw Mohr's circle neatly to scale, and use it to complete part (b). (b) Determine the state of stress on an element rotated 35° counterclock- 20 ksi wise from the given element. Sketch the state of stress on the rotated element element. 9 ksi -20 -10 o (ksi) -30 -20 -10 10 20 30 10 20 T (ksi)
Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, 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.
6kN and 1.0KNM loads are applied to the top of the 62-mm-diameter cast-iron as shown. Determine the principal stresses (max and min normal stresses), principal planes (orientation of plane for max-min normal stresses) and max shear stress by using Mohr's circle. Hint: Use given coordinate system. So, H is on x-z plane and K is on y- z plane 1.0 kN.m 6 kN X 220 mm
Determine the average normal stress developed at points A, B, and C. The diameter of each segment is indicated in the figure.
The state of plane stress at a point is shown on an infinitesimal element below. Determine the stresses at the point on an element that is oriented 65° counter-clockwise from the x, y axes shown. Enter the shear stress on this rotated element Ta'y' (with correct magnitude and sign) in kPa correct to 3 significant digits below. 300 kPa y 400 kPa X 400 kPa 300 kPa
For each of the plane stress states listed below, draw a Mohr's circle. Find the principal normal and shear stresses and determine the angle from the x-axis to σ1. = (a) σx -8 MPa, σy = 7 MPa, Txy = 6 MPa cw (b) σx = 9 MPa, σy = −6 MPa, Txy = 3 MPa cw (c) σx = −4 MPa, σy = 12 MPa, Txy = 7 MPa ccw
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.
Determine 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"
Determine the principal stresses, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the element in each case.
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 ksi

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Determine (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 ksi