Consider a point in a structural member that issubjected to planestress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S-45 MPa, S,-67 MPa, and Sy-21 MPa. (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 (eg.see Fig 12.15 or Fig 12.16). (d) Determine the absolute maximum shear stress at thepoint. S, Determine the principal stresses and the maximum in-plane shear stress acting at the point. Sy Answer: MPa MPa Temacin plane MPa

Consider a point in a structural member that issubjected to planestress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S-45 MPa, S,-67 MPa, and Sy-21 MPa. (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 (eg.see Fig 12.15 or Fig 12.16). (d) Determine the absolute maximum shear stress at thepoint. S, Determine the principal stresses and the maximum in-plane shear stress acting at the point. Sy Answer: MPa MPa Temacin plane MPa

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

Problem 2: The stresses shown act at a point on the free surface off a stressed body. a) Determine the principal stresses and the maximum in-plane shear stress acting at the point b) Show these stresses in an appropriate sketch. c) Determine the normal stresses on and ot and the shear stress Tnt that act on the rotated stress element. 53 MPa 16 MPa 47 MPa 35⁰
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 Sy-17 MPa, S, - 60 MPa, and Swy- 29 MPa. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (ơp > op2) and the maximum in-plane shear stress Tmax acting at the point. (c) 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) Say Answers: MPa. Opl = MPa. MPa. Tmax = 0, =
Consider a polnt 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 S- 15 ksi, S, - 19 ksi, and Sy 14 ksl. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (o > o2) and the maximum in-plane shear stress Tinax acting at the point. (c) 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) So Answers: ksi. Opl = ksl. Op2 = ksi. Tmax= 0,
PROBLEM 7.63 For the state of stress shown it is known that the normal and shearing stresses are directed as shown and that o, =98 MPa, ơ, = 63 MPa, and omin = 35 MPa. . Determine (a) the orientation of the principal planes, (b) the principal stress Omaxs (c) the maximum in-plane shearing stress.
3. For the given state of stress, determine the principal planes, the principal stresses, the max shear stress. You must use Mohr's Circle. 20 MPa 32 MPa 55 MPa
At a point in a stressed material, the major principal stress is 66 kPa compression and the minor principal stress is 34 kPa tension. (a) Use the Mohr’s circle to determine the shear and normal stress on a plane 45° ccw from the major principal plane. (b) Determine the stress combination acting on the plane 75° ccw from the major principal plane.
For the state of plane stress (a) constructed Mohr's circle (b) determine the principal 40 MP- stresses (c) determine the max shearing stress (d) the state of stress on the same element when it is oriented through 15 C.W. 10 MPa 50 MPa
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 S,- 44 MPa, S,- 75 MPa, and Sy-27 MPa. (a) Draw Mohr's circle for this state of stress (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (eg, see Fig 12.15 or Fig. 12.16). (d) Determine the absolute maximum shear stress at the point. Sxy S, Answer. (a) Draw Mohr's Circle for this state of stress. (b) Opi=i MPa MPa Op2 =i MPa Tmac in-plane (c) Show these stresses on an appropriate sketch (eg, see Fig 12.15 or Fig. 12.16) MPa (d) Tabs max
Using Mohr's Circle Determine: a.) The principal planes and directions b.) The principal Stresses and directions c.) The maximum Shear stress and the corresponding normal stress and directions 10 MPa 40 MPa O 50 MPa
Find the stress resultants N, V and M, draw the diagrams of the stress resultants (N,V,M). q = 8kN/m, F = 10kN
A W12x65 wide flange beam supports the distributed load and concentrated force shown. Determine: 1. The maximum flexural tension stress in the beam 2. The maximum transverse shear stress in the beam 3. The state of stress at a point x = 4 ft and 3 inches down from the top of the beam For all three parts, summarize the result on a 2D stress block. A a X P B b W C P = 5 kips, w = 2 k/ft, a = 6 ft, b = 3 ft, c = 9 ft D
Problem 5: The stresses on the x-y-axes are o, = 8 ksi, o, = 12 ksi, and Ty = -5 ksi. Draw the Mohr's circle for this stress state. Identify the maximum shear stress from the Mohr's circle, and draw the maximum shear stress element, specifying its orientation.