5. The normal and shear stresses acting on one plane passing through a point in a soil mass are 120 psi compression and 25 psi, respectively. On an orthogonal plane the stresses are 40 psi compression and 25 psi. (a) Draw the Mohr's circle for this stress condition. (b) What are the principal stresses?

5. The normal and shear stresses acting on one plane passing through a point in a soil mass are 120 psi compression and 25 psi, respectively. On an orthogonal plane the stresses are 40 psi compression and 25 psi. (a) Draw the Mohr's circle for this stress condition. (b) What are the principal stresses?

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.3.1P: The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the...

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The normal and shear stresses acting on one plane passing through a point in a soil mass are 120 psi compression and 25 psi, respectively. On an orthogonal plane, the respective stresses are 40 psi compression and 25 psi. (a) Draw the Mohr’s circle for this stress condition. (b) What are the principal stresses? (c) Determine the angle between the plane on which the 120 psi stress acts and the major principal plane. (d) What is the maximum shear stress acting at the point?
At a point in a piece of elastic material there are three mutually perpendicular planes on which the stresses are as follows : tensile stress 50 N/mm2, shear stress 40 N/mm2 on plane, compressive stress 35 N/mm2 and complementary shear stress 40 N/mm2 on the second plane, no stress on the third plane. Find (a) the principal stresses and the positions of the plane on which they act (b) the position of the planes on which there is no normal stress.
2. At a point in a brocket, the stresses on two mutually perpendicular planes are 180 MN/m? (tensile) and 70 MN/m2 (Compressive). The shear stress across the planes is 65 MN/m2. Find the following by Mohr's Circle method and compare with Analytical solutions: (i)The Normal stress on a plane making an angle of 50° with the plane of first stress. (ii)Shear stress on the plane (iii) Maximum shear stress (iv) Resultant stress and it's direction. (v) Major and minor principal stresses.
Q-2 In an elastic material under load, two planes AB and BC are perpendicular to each other. The stresses on these planes are as follows: 1. on AB, 30 MN/m² compression stress and 60 MN/m² counterclockwise shear. 2. on BC, 60 MN/m² clockwise shear. Find (a) the principal stresses and directions of the principal planes. (b) the normal and tangential stresses on a plane inclined at 75" counterclockwise to the BC plane. Confirm your answer by means of Mohr's stress circle diagram.
A composite square member of varying sizes is subjected to axial forces along its centerline, as shown. The members' cross-sectional dimensions, from smaller to larger, are 50 mm ´ 50 mm, 75 mm ´ 75 mm, and 100 mm ´ 100 mm, respectively. (a) What are the normal stresses (in MPa) induced in the bar material at Section A-A, Section B-B, Section C-C? (b) What are the changes in the axial (4.28 ft), width (100mm), and thickness (100 mm) direction (in mm), at Section C-C? Assume n = 0.25 and E = 200,000 MPa., 1 ft = 0.3048 m
3. An axial pull of 35000 N is acting on a bar consisting of three lengths as shown below. If the Young's Modulus is 2.1 x 105 N/mm2. Determine (i) Stresses in each section, and; (ii) Total extension of the bar. Section 3 Section 2 Section 1 35000 N 35000 N 2 cm DIA 3 cm DIA 5 cm DIA k-20 cm- 25 cm -22 cm-
Mohr's Circle 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. kindly answer the following with a complete solution so that i can understand how to solve it. thank you
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 Sx = 150 MPa, Sy = 21 MPa, and Sxy = 85 MPa. Assume β = 56°.(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. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16).(c) Determine the normal stresses and the magnitude of the shear stress on the indicated plane and show these stresses on a sketch.(d) Determine the absolute maximum shear stress at the point. Answer:(a) Draw Mohr's Circle for this state of stress.(b) σp1 = MPa σp2 = MPa τmax in-plane = MPa(c) σn = MPa τnt = MPa(d) τabs max = MPa
Mohr's Circle At a point, the normal and shear stresses acting on one plane are 8000 psf compression and 2000 psf, respectively. On a perpendicular plane, the normal and shear stress combination 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 acts and the major principal plane. (d) What is the maximum shear stress acting at the point? kindly answer the following with a complete solution so that i can understand how to solve it. thank you
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= 41 MPa, Sy = 11 MPa, and S=-44 MPa. (a) Determine the principal stresses (o,l > 02) and the magnitude of the maximum in-plane shear stress Tmax acting at the point... (b) Find the smallest rotation angle 0, (counterclockwise is positive, cločkwise 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) Answers: OpI = MPa. Op2 = MPa. Tmax | MPa.
The state of stress at a point in a soil beneath a level ground surface consists of a major principal stress of 70 kPa and a minor principal stress of 25 kPa. The major principal stress acts in the vertical direction. (a) Draw the Mohr's circle of stress and show the pole point (origin of planes). (b) Determine the maximum shear stress and calculate the orientation angle (relative to horizontal) of the plane of positive maximum shear stress. (c) Determine the normal stress and shear stress on a plane that makes an angle of -20° (i.e., 20° clockwise) relative to the horizontal plane.
Two forces are applied on the beam shown below. (a) Determine the normal and shear stresses at point B on the shown cross-section. (b) Show the state of stress at the point B on a volume element. 400 lb B 1 in. 2 in. 500 Ib 2 in 10 in. 1.5 in. 1.5 in. Show your steps and highlight the following answers please I =