3 1. (a) An element of soil is subjected to the two-dimensional stresses shown in Figure Q1. 0,= 150 » T, = -30 ,- 30 60 0,- 75 (All in kPa) Figure Q1 (1) Determine the normal and shear stresses on the P and Q planes which are orthogonal (i) Determine the magnitudes and directions of the major and minor principal stresser
3 1. (a) An element of soil is subjected to the two-dimensional stresses shown in Figure Q1. 0,= 150 » T, = -30 ,- 30 60 0,- 75 (All in kPa) Figure Q1 (1) Determine the normal and shear stresses on the P and Q planes which are orthogonal (i) Determine the magnitudes and directions of the major and minor principal stresser
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![3
1.
(a) An element of soil is subjected to the two-dimensional stresses shown in Figure Q1.
0, = 150
=-30
= 30
60°
o, = 75
(All in kPa)
Figure Q1
(1) Determine the normal and shear stresses on the P and Q planes which are orthogonal
(ii) Determine the magnitudes and directions of the major and minor principal stresse
(b) An undrained direct shear test with a hanger mass of 32 kg was performed on a sample
of saturated clay. The plan dimensions of the shear box were 60 x 60 mm. The undrained
shear strength of the clay is known to be Cu = 60 kPa. The critical state friction angle of
the clay is known to be d'ern = 22°. What pore water pressure (u) in kPa, would the
sample experience at the ultimate state?
(c) Given that the pore pressure calculated from part (b) was negative, explain what this
implies about the volume change that would have occurred to the sample (dilative or
contractive) if the test was done under drained conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9759fee1-4eda-4e5c-b026-78019dc88572%2F097a0096-11b6-4d35-9634-348bebd44396%2Fotk6qweg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3
1.
(a) An element of soil is subjected to the two-dimensional stresses shown in Figure Q1.
0, = 150
=-30
= 30
60°
o, = 75
(All in kPa)
Figure Q1
(1) Determine the normal and shear stresses on the P and Q planes which are orthogonal
(ii) Determine the magnitudes and directions of the major and minor principal stresse
(b) An undrained direct shear test with a hanger mass of 32 kg was performed on a sample
of saturated clay. The plan dimensions of the shear box were 60 x 60 mm. The undrained
shear strength of the clay is known to be Cu = 60 kPa. The critical state friction angle of
the clay is known to be d'ern = 22°. What pore water pressure (u) in kPa, would the
sample experience at the ultimate state?
(c) Given that the pore pressure calculated from part (b) was negative, explain what this
implies about the volume change that would have occurred to the sample (dilative or
contractive) if the test was done under drained conditions.
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