13. The major and minor principal stresses acting at a point are 80 psi compression and20 psi tension.(a) Draw the Mohr's circle for this stress combination.(b) What is the maximum shear stress acting at the point, and what value of normalstress acts on the plane?(c) Determine the value of the shear and normal stress acting on a plane that is 30°from the major principal plane.14. At a point, the normal and shear stresses acting on one plane are 8000 psf compressionand 2000 psf, respectively. On a perpendicular plane, the normal and shear stresscombination is 2000 psf compression and 2000 psf.(a) Draw the Mohr's circle.(b) Determine the value of the principal stresses.(c) Find the angle between the plane on which the 8000 psf compressive stress actsand the major principal plane.(d) What is the maximum shear stress acting at the point?4. The normal and shear stresses acting on one plane passing through a point in a soilmass are 120 psi compression and 25 psi, respectively. On an orthogonal plane thestresses are 40 psi compression and 25 psi.(a) Draw the Mohr's circle for this stress condition.(b) What are the principal stresses?

Answered: Image /qna-images/answer/b8c6ea6f-06b4-49dc-b29a-5ba344d010a8.jpg

3. The major and minor principal stresses acting at a point are 80 psi compression and 20 psi tension. (a) Draw the Mohr's circle for this stress combination. (b) What is the maximum shear stress acting at the point, and what value of normal stress acts on the plane? (c) Determine the value of the shear and normal stress acting on a plane that is 30° from the major principal plane.

3. The major and minor principal stresses acting at a point are 80 psi compression and 20 psi tension. (a) Draw the Mohr's circle for this stress combination. (b) What is the maximum shear stress acting at the point, and what value of normal stress acts on the plane? (c) Determine the value of the shear and normal stress acting on a plane that is 30° from the major principal plane.

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

A point in the ground has a total vertical (normal) stress (v) of 200 kPa, a total horizontal (normal) stress (x) of 120kPa, a horizontal shear stress (xy) of 0 kPa, and a pore water pressure (uo) of 40 kPa.(a) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees clockwise fromhorizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct signconvention.(b) Determine the shear and effective normal stresses that act on a plane oriented 30 degrees counterclockwisefrom horizontal. Sketch the plane and draw the stresses acting on it; make sure you have the correct signconvention.(c) Determine the maximum shear stress and the orientation of the planes on which it acts
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.
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?
Determine the absolute maximum shear stress for each of the following plane stress states for which the principal stresses are given.(a) σp1 = 2720 psi, σp2 = -1780 psi, σp3 = 0(b) σp1 = 65 MPa, σp2 = 39 MPa, σp3 = 0
A very thin rectangular plate (see figure (a)) is subjected to a biaxial plane stress state (σx, σy). The width and height of the plate are b = 7.5 [in] and h = 2.5 [in], respectively. The measures show that the strains in the (x, y) directions are εxx = 2.85x10−4 and εyy = −1.90x10−4, respectively. Figure (b) shows a 2D front view of the plate. a) Draw and identify the principal stresses and the maximum shear stress on Mohr's circle. In what orientation does this maximum shear occur? b) Calculate the unit volume change e = εxx + ?εyy + εzz Note: remember that in a plane stress state we have σz = τxz = τyz = 0 and if it is also bi-axialwe have τyx = 0.
For the state of stress shown in the figure. a. Determine the maximum and minimum principal stresses.b. Describe the location of the maximum principal stress from side BC.c. Describe the location of the maximum principal stress from side BD.d. Determine the maximum shear stress.e. Determine the normal and shear stresses at plane AB. A = 30 ,B = 50 , C = 10 ,D = 37
Referring to Figure Q2 (a), the vertical stress increase at point A is 25 kN/m2due to application of line loads q1 and q2. Determine the magnitude of q2.
Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A, = 3050 mm? and an allowable normal stress of 65 MPa. Bar (2) has a cross-sectional area of A2 = 3000 mm? and an allowable normal stress of 65 MPa. Assume x1 = 1.8 m. x2 = 2.7 m. y1 = 1.0 m, and y2 = 2.8 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress.
Determine the magnitude of the maximum in-plane shear stress at point A (in MPa).
Show complete solution, include necessary figures. The major and minor principal stresses acting at a point are 80 psi compression and 20 psi tension.A. Draw the Mohr's circle for this stress combination.B. What is the maximum shear stress acting at the point and what value of normal stress acts on the plane?C. Determine the value of the normal and shear stress acting on a plane that is 30 degrees from the minor principal plane.
refer to the figure due to application of line load q1 and q2 . the vertical stress increase at point a is 42 kn/m2 determine the magnitude of q
Determine the average normal stress at section a-a and the average shear stress at section b-b in member AB. The cross-sectional is square, 0.55 in. On each side.