The state of stress at a point in the machine element is shown in figure below. Determine the normal (o, and o, Jand shearing stresses (7xryı) acting on aninclined plane parallel to (1) line a - a and (2) line b – b.5 MPa6 MPa45°6010 MPa

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Answered: The state of stress at a point in the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Thirty kilograms of butane gas per minute burns with dry air inside a combustion chamber, giving products having the dry molar analysis of 11.0% carbon dioxide, 1.0% carbon monoxide, 3.5% oxygen, and 84.5% nitrogen. Calculate the minimum duct diameter, in mm, used to supply the combustion air at 1 bar and 27 deg C and at a flow velocity of 15 m/s.
Given the stress element shown, determine the maximum in-plane shear stress, 0x = 54 MPa Oy = 30 MPa Txy = 40 MPa (Use the stress orientation shown in the figure to determine the sign on the stress values.) 58 MPal 65 MPa 74 MPa 88 MPa 96 MPa + 148 MPa
The stresses shown in Figure below and act at a point on the free surface of a machine component. Determine the normal stresses σ x and σ y and the shear stress τ xy at the point.
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An element in plane stress is subjected to stresses: 0 = 85 MPa, o, = -30 MPa, and Try = 32MPa, as shown in the figure below. (1) Determine the principal stresses and show them on a sketch of a properly oriented element; (2) Determine the maximum shear stresses and show them on a sketch of a properly oriented element. 30MPA 85MPA 32MPа 1
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Q-1 Figure Q-1, below, shows Mohr’s circle for a point in a physical object that is subjected to plane stress. Determine the stresses σx, σy, and τxy, and show them on a stress element, properly oriented with reference to x-y axes. Determine the principal stresses σ1, σ2, and τmax and show them on a stress element properly rotated with respect to the x–y element Determine the stresses σn, σt, and τnt, and show them on a stress element that is properly rotated with respect to the x–y The sketches must include the magnitude of the angles w.r.t. positive x-axis as well as the angle between the x and n axes, and an indication of the direction of rotations (i.e., either clockwise (c.w.) or counterclockwise (c.c.w.)).
At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress is illustrated in the figure below. For the given plane stress condition determine: -all 3 principle stresses, the max in plane stress, average noemal stress and the absolut max shear stress. - Show the principle stress, the max inplane shear stress and the average normal stress on an appropriate schematic
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The state of stress at a point in the machine element is shown in figure below. Determine the normal (o and oy, Jand shearing stresses (Txryı) acting on a inclined plane parallel to (1) line a - a and (2) line b - b. 5 MPa 6 MPа 45 60 10 MPa