Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Question
Chapter 10, Problem 10.16P
(a)
To determine
Find the effective normal stress
(b)
To determine
Explain why the shear failure took place along the plane instead of not along the plane of maximum shear stress.
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use mhors circle
a.What is the value of the minimum stress in psf?
b.What is the value of the normal stress acting at the plane AB in psf?
c.What is the value of the shear stress acting at the plane AB in psf?
The major and minor principal stresses acting at a point in a stressed material 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 stresses acting on a plane that is 30° ccw from the major principal plane.
a) At a point on the free surface of a stressed body, the normal tensile stress of 20 MPa is acting on a vertical plane. The normal compressive stress of 30 MPa is developing on a horizontal plane.Unknown negative shear stress also exists on the vertical plane.i) Show these stresses on an appropriate sketch.ii) Determine the unknown negative shear stress if the maximum shear stress at the point has a magnitude of 32 MPa.iii)Determine the principal stresses, normal and shear stress if the element oriented 500from the x-axis.
Chapter 10 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
Ch. 10 - Prob. 10.1PCh. 10 - Prob. 10.2PCh. 10 - Prob. 10.3PCh. 10 - Prob. 10.4PCh. 10 - Prob. 10.5PCh. 10 - Prob. 10.6PCh. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - Prob. 10.9PCh. 10 - Prob. 10.10P
Ch. 10 - Prob. 10.11PCh. 10 - Prob. 10.12PCh. 10 - Prob. 10.13PCh. 10 - Prob. 10.14PCh. 10 - Prob. 10.15PCh. 10 - Prob. 10.16PCh. 10 - Prob. 10.17PCh. 10 - Prob. 10.18PCh. 10 - Prob. 10.19PCh. 10 - Prob. 10.20PCh. 10 - Prob. 10.21PCh. 10 - Prob. 10.22PCh. 10 - Prob. 10.23PCh. 10 - Prob. 10.24CTPCh. 10 - Prob. 10.25CTP
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- A strain rosette having three strain gauges a, b and c is installed at point P on the x-y surface of a block (E = 100 GPa,v = 0.3). During a static test of the block in plane strain, the strain rosettes read a = 0.003, € = 0.001 and and = 0.001. Compute the following: a) the shear strain yxy at point P. b) All stress components at point P. Strain Gauges 60⁰ P 30⁰ a 40°arrow_forwardPart A Determine average normal stress. (Figure 1) Express your answer with the appropriate units. Javg = Part B μA Submit Request Answer Value σ1,02= 20 MPa IVD ΑΣΦ11 Units vec ww Determine the principal stress. Enter your answers numerically separated by a comma. ? 80 MPa 30 MPa www MPaarrow_forwardAt a point in a stressed material, the major principal stress is 180 kPa compression and the minor principal stress is 40 kPa tension. (a) Determine the Mohr’s circle for this stress combination. (b) What is the maximum shear stress that acts at the point, and what is the value for the normal stress acting on the plane of maximum shear? (c) Determine the value of the normal and shear stress acting on the plane 22.5° ccw from the major principal plane.arrow_forward
- At a point in a stressed material, the major principal stress is 50 kPa compression and the minor principal stress is 20 kPa compression. Use Equations 1 and 2 to determine the maximum shear stress that acts through the point and the normal stress on the plane of this maximum shear.arrow_forwarda.What is the value of the maximum stress in kPa? b.What is the value of the normal stress acting at the plane AB in kPa? c.What is the value of the shear stress acting at the plane AB in kPa?arrow_forwardAt a point in a stressed material, the major principal stress is 80 psi compression and the minor principal stress is 20 psi compression. (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 this same plane? (c) Determine the value of the normal and shear stress acting on a plane that is 60° clockwise (cw) from the minor principal plane.arrow_forward
- Determine the absolute maximum shear stress for each of the following plane stress states for which the principal stresses are given. (a) op1 = 2700 psi, op2 = -2470 psi, Op3 = 0 (b) op1 = 44 MPa, op2 = 25 MPa, op3 = 0arrow_forwardA tapered cantilever beam AB having rectangular cross sections is subjected to a concentrated load P = 46 lb and a couple Mo = 790 lb - in. acting at the free end [see the figure part (a)). The width b of the beam is constant and equal to 1.0 in., but the height varies linearly from ha = 2.0 in. at the loaded end to hp = 3.0 in. at the support. Use L = 20 in. Мо В hg (a) 3P qo = T Мо (b) ЗР 90 =7 \ Mo.arrow_forwardAt a point in a stressed material, the major principal stress is 7.2 ksi compression and the minor principal stress is 3.6 ksi compression. Using Equations 1 and 2, determine the maximum shear stress that acts at the point and the normal stress that acts on the plane of the maximum shear stress.arrow_forward
- Your answer is partially correct. Determine the absolute maximum shear stress for each of the following plane stress states for which the principal stresses are given. (a) op1 = 2780 psi, o,2 = -2440 psi, op3 = 0 (b) Op1 = 58 MPa, Op2 = 35 MPa, Op3 = 0 Answer: (a) Tabs max psi 1390 (b) Tabs max MPa 29arrow_forwardFind the value of maximum principal stress Maximum shear stress-D40 MPa Minimum principal stress=20 MPaarrow_forwardQuestion 3 of 10 View Policies Show Attempt History Current Attempt in Progress Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are 5x = 12 ksi, Sy = 33 ksi, and Sxy = 17 ksi. (a) Determine the principal stresses (0,1 > 0,2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) AS, Answers: Opl Sxy Sx 0/10 E ksi. Darrow_forward
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