Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 9 MPa in size. (a) Determine the stresses o, o, and the magnitude of Ty and show them on a stress element. (b) Determine the stresses o, 0, and the magnitude of tpt 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 naxes and an indication of the rotation direction (ie., either clockwise or counterclockwise). y Answer: MPa (a) o MPa Oy = MPa Txy MPa (b) on- MPa Ot MPa Tnt

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 9 MPa in size. (a) Determine the stresses o, o, and the magnitude of Ty and show them on a stress element. (b) Determine the stresses o, 0, and the magnitude of tpt 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 naxes and an indication of the rotation direction (ie., either clockwise or counterclockwise). y Answer: MPa (a) o MPa Oy = MPa Txy MPa (b) on- MPa Ot MPa Tnt

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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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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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 σx, σy, and the magnitude of τxy and show them on a stress element.(b) Determine the stresses σn, σt, and the magnitude of τnt 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).
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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 14 MPa in size. (a) Determine the stresses Ox, Oy, 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 the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). σ n Answer: (a) ox= Oy= Txy= (b) on= Ot= Int= MPa MPa MPa MPa MPa MPa X
The strain components ɛx, ɛy, and yxyare given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 350 µɛ, ɛy = -500 µɛ, Yxy = -810 µrad. Enter the angle such that -45°<0,< +45°. Answer: Ep1 = Ep2 = με Ymax in-plane = µrad Yabsolute max. prad Op =
4
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