Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 880 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). C X

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 880 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). C X

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A thin rectangular plate ABCD is deformed into a parallelogram as shown in the figure below. The width of the plate is w = 1700 mm, and the height of the plate is h = 2100 mm. The shear strain at A is known to be +3922 urad. Assume a = 2.7 mm. Calculate the magnitude of dimension b in the figure. a Answer: b= i W B mm x
The stress condition at one point of an aircraft is shown in the figure. 472216 40 MPa 200 MPa 80 MPa (a) Calculate the principal stresses (b) Calculate the maximum in-plane shear stress and the average normal stress by analytical method and plotting the Mohr's circle. For each case, determine the element orientation and plot the stress state. (c) Calculate the maximum absolute shear stress at the same point.
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 8 MPa in size. (a) Determine the stresses ox, Oy, and the magnitude of Tyand show them on a stress element. (b) Determine the stresses o,, O, and the magnitude of Tnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). y
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Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 21 MPa in size. (a) Determine the stresses o, a, and the magnitude of Tyand show them on a stress element. (b) Determine the stresses O, o, and the magnitude of Tg and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). Answer: (a)o.. MPa MPa MPa (b) On- MPa MPa Tre MPa Save for Later Attempts: 0 of 1 used Submit Answer
The rectangular plate is subjected to force P that causes elongation in the horizontal direction and shrinking in the vertical direction as shown with the dashed line in the figure. Assume a = 550 mm, Δx = 2 mm, and Δy = 1.1 mm. Determine the shear strain γxy at point A? Determine the shear strain γnt at point A? In micro rad What is the normal strain in the x-direction? What is the normal strain in the y-direction? What is the normal strain in the n-direction? Answer in clear way please
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Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 17 MPa in size. (a) Determine the stresses 0, 0, and the magnitude of Txy and show them on a stress element. (b) Determine the stresses On. Ot, and the magnitude of Tnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between thex and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). y X Answer: (a) ox= Oy= Txy= (b) on= Ot= Tnt= n (2 MPa MPa MPa MPa MPa MPa
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