A point in the ground has a total vertical (normal) stress (σv) of 200 kPa, a total horizontal (normal) stress (σ%) of 120 kPa, a horizontal shear stress (txy) of 0 kPa, and a pore water pressure (u.) of 40 kPa. (a) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees clockwise from horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign convention. (b) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees counterclockwise from horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign convention. (c) Determine the maximum shear stress and the orientation of the planes on which it acts.

A point in the ground has a total vertical (normal) stress (σv) of 200 kPa, a total horizontal (normal) stress (σ%) of 120 kPa, a horizontal shear stress (txy) of 0 kPa, and a pore water pressure (u.) of 40 kPa. (a) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees clockwise from horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign convention. (b) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees counterclockwise from horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct sign convention. (c) Determine the maximum shear stress and the orientation of the planes on which it acts.

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter10: Stresses In A Soil Mass

Section: Chapter Questions

Problem 10.1CTP: EB and FG are two planes inside a soil element ABCD as shown in Figure 10.50. Stress conditions on...

See similar textbooks

Similar questions

The vertical compressive stress at a point in a soil is 100 kN/m2 while the horizontal compressive stress at the same point is 62 kN/m². Both stresses are principal stress. (a) Draw the Mohr circle that describes the 2D stress state at the point (hand sketch is ok). (b) Find the maximum shear stress that acts at the point. (c) Determine the angle of the plane on which the maximum shear stress acts and obtain the normal stress on that plane (Use the pole method - the method is simplified since the stresses given in the problem are principal stresses). (d) Confirm the maximum shear stress and the normal stress from (c) using the stress transformation equations (consider sign conventions!).
3. (a) A prismatic bar is subjected to an axial compressive stress of 85N/mm. Determine the i. Stresses acting on the plane which is at an angle e= 40° with reference to the x-axis. ii. Magnitudes of maximum, and minimum normal stresses induced and the position of their planes Us" ii. Magnitude of normal Stress on the plane of maximum shear stress
The stresses at a point are measured as shown. Using Mohr's circle determine the stresses with respect to x' - y' axes. Also, determine the maximum possible shear stress at this point. „3.5 MPa 18° '4.4 MPa
4.101 The principal stresses at a point in a bar are 160 N/mm² (tensile) and 80 N/mm² (compr.). The accompanying maximum shear stress intensity is (a) 100 N/mm² (c) 120 N/mm² (b) 110 N/mm² (d) 140 N/mm²
2. The following square section is subjected to an unsymmetric bending moment M=850 Nm, as shown. Compute the stresses at each of the 4 outer corners of the section, and sketch a 3D distribution of the stresses 2 B M=850 Nm mm 260 E 25 A D 250 mm REQ'D - stress at each corner - 3D stress distribution
At a point, the normal and shear stresses acting on one plane are 8,000 psf compression and 2,000 psf, respectively. On a perpendicular plane, the normal and shear stresses are 2,000 psf compression and 2,000 psf, respectively. (a) Draw the Mohr’s circle. (b) Determine the value of the principal stresses. (c) Find the angle between the plane on which the 8,000 psi compressive stress acts and the major principal plane. (d) What is the maximum shear stress acting at the point?
0.12
b) A rectangular block of 1200 mm² cross-sectional area is subjected to a longitudinal compressive load of 1200kN. Determine the normal stress across the cross section of the block. If the block is cut by an oblique plane making an angle of 400 with normal section of the block. Determine: (i) Normal stress on the oblique plane (ii) Tangential stress along the oblique plane, and (iii) Resultant stress on the oblique plane.
Consider a point in a structural memberthat issubjected to planestress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S-45 MPa,S,-67 MPa, andS-21MP., (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-planeshear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g. see Fig. 12.15 or Fig 12.16). (d) Determine the absolute maximum shear stress at thepoint Sy Determine the principal stresses and the maximum in-plane shear stress acting at the point. Say Answer: MPa MPa MPa Tomaxin plane
Determine major principal stress
According to the general shear stress formua, shear stress distribution on a rectangular crosss section is parabolic. When b = 47 mm, h = 79 mm, transverse shear force V = 69 k N, please calculate the max shear stress on the cross section shown below: max (f v max in textbook)= ____ MPa.
The major and minor principal stresses acting at a point are 50 Pa compression and 10 Pa compression, respectively. Draw the Mohr’s circle for this stress combination, and determine the magnitude of shear and normal stress on one of the planes where shear is a maximum.