8.12 At a certain point in a piece of material there are two planes at right angles to one another on which there are shearing stresses of 150 MN/m2 together with normal stresses of 300 MN/m2 tensile on one plane and 150 MN/m2 tensile on the other plane. If the shear stress on the 150 MN/m2 planes is taken as clockwise in effect, determine for the given point: (a) the magnitudes of the principal stresses. (b) the inclinations of the principal planes. (c) the maximum shear stress and the inclinations of the planes on which it acts. (d) the maximum strain ifE=208 GN/m2 and Poisson's ratio 0.29. [392.7, 57.3 MN/m2; 31.7°, 121.7°; 167.7 MN/m², 76.7°, 166.7°; 1810 ue]

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8.12 At a certain point in a piece of material there are two planes at right angles to one another on
which there are shearing stresses of 150 MN/m2 together with normal stresses of 300 MN/m2 tensile
on one plane and 150 MN/m? tensile on the other plane. If the shear stress on the 150 MN/m2 planes
is taken as clockwise in effect, determine for the given point:
(a) the magnitudes of the principal stresses.
(b) the inclinations of the principal planes.
(c) the maximum shear stress and the inclinations of the planes on which it acts.
(d) the maximum strain if E=208 GN/m2 and Poisson's ratio = 0.29.
[392.7, 57.3 MN/m2; 31.7°, 121.7°; 167.7 MN/m², 76.7°, 166.7°; 1810 µɛ]
Transcribed Image Text:8.12 At a certain point in a piece of material there are two planes at right angles to one another on which there are shearing stresses of 150 MN/m2 together with normal stresses of 300 MN/m2 tensile on one plane and 150 MN/m? tensile on the other plane. If the shear stress on the 150 MN/m2 planes is taken as clockwise in effect, determine for the given point: (a) the magnitudes of the principal stresses. (b) the inclinations of the principal planes. (c) the maximum shear stress and the inclinations of the planes on which it acts. (d) the maximum strain if E=208 GN/m2 and Poisson's ratio = 0.29. [392.7, 57.3 MN/m2; 31.7°, 121.7°; 167.7 MN/m², 76.7°, 166.7°; 1810 µɛ]
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