The normal and shear stresses at a point in a structural subjected to a state of plane stress are shown in figure below. Determine using stress transformation equation or Mohr's circle. i) principal stresses and their directions. ii) maximum shearing stress and its direction. stress on a plane making an angle of 30° anticlockwise from iii) plane AD. [Ans: i) o = 33 MPa, o2 = -23 MPa, O, = 68°, ii) Tmax = 28 MPa, e, = 22.5°, iii) o, = 12.5 MPa, oy = -2.32 MPa, ty = 27.3 MPa] 25 Nimm 20 Nmm 30 15 Nmm

Principles of Geotechnical Engineering (MindTap Course List)
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Chapter10: Stresses In A Soil Mass
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Problem 10.1CTP: EB and FG are two planes inside a soil element ABCD as shown in Figure 10.50. Stress conditions on...
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The normal and shear stresses at a point in a structural subjected to
a state of plane stress are shown in figure below. Determine using
stress transformation equation or Mohr's circle.
i)
principal stresses and their directions.
ii)
maximum shearing stress and its direction.
iii)
stress on a plane making an angle of 30° anticlockwise from
plane AD.
[Ans: i) o1 = 33 MPa, o2 = -23 MPa, O, = 68°, ii) Tmax = 28 MPa, O, = 22.5°,
iii) o = 12.5 MPa, Gy = -2.32 MPa, tay = 27.3 MPa]
25 N/mm?
B
20 Nmm
30
15 Nmm?
Transcribed Image Text:The normal and shear stresses at a point in a structural subjected to a state of plane stress are shown in figure below. Determine using stress transformation equation or Mohr's circle. i) principal stresses and their directions. ii) maximum shearing stress and its direction. iii) stress on a plane making an angle of 30° anticlockwise from plane AD. [Ans: i) o1 = 33 MPa, o2 = -23 MPa, O, = 68°, ii) Tmax = 28 MPa, O, = 22.5°, iii) o = 12.5 MPa, Gy = -2.32 MPa, tay = 27.3 MPa] 25 N/mm? B 20 Nmm 30 15 Nmm?
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