Answer 3-19Please include solution and brief reflection. 3-183-19For each of the stress states listed below, find all three principal normal and shear stresses. Draw a complete Mohr's three-circle diagram and label allpoints of interest.(a) ox= -80 MPa, oy = -30 MPa, xy = 20 MPa cw(b) ox= 30 MPa, oy = -60 MPa, xy = 30 MPa cw(c) dx = 40 MPa, O₂ = -30 MPa, Txy = 20 MPa ccw(d) x = 50 MPa, o₂ = -20 MPa, Txy = 30 MPa cwRepeat Problem 3-18 for:(a) σx = 10 kpsi, oy = -4 kpsi(b) σx = 10 kpsi, Txy = 4 kpsi cew(c) ox = −2 kpsi, 0y = –8 kpsi, Txy = 4 kpsicw(d) σx = 10 kpsi, σy = −30 kpsi, Txy = 10 kpsi cew 3-183-19For each of the stress states listed below, find all three principal normal and shear stresses. Draw a complete Mohr's three-circle diagram and label allpoints of interest.(a) ox= -80 MPa, oy = -30 MPa, xy = 20 MPa cw(b) ox= 30 MPa, oy = -60 MPa, xy = 30 MPa cw(c) dx = 40 MPa, O₂ = -30 MPa, Txy = 20 MPa ccw(d) x = 50 MPa, o₂ = -20 MPa, Txy = 30 MPa cwRepeat Problem 3-18 for:(a) σx = 10 kpsi, oy = -4 kpsi(b) σx = 10 kpsi, Txy = 4 kpsi cew(c) ox = −2 kpsi, 0y = –8 kpsi, Txy = 4 kpsicw(d) σx = 10 kpsi, σy = −30 kpsi, Txy = 10 kpsi cew

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3-18 3-19 For each of the stress states listed below, find all three principal normal and shear stresses. Draw a complete Mohr's three-circle diagram at points of interest. (a) ox= -80 MPa, oy = -30 MPa, Txy = 20 MPa cw (b) dx = 30 MPa, oy = -60 MPa, Txy = 30 MPa cw (c) dx = 40 MPa, O₂ = -30 MPa, Txy = 20 MPa ccw (d) x = 50 MPa, 0₂ = -20 MPa, Txy = 30 MPa cw Repeat Problem 3-18 for: (a) ox= 10 kpsi, oy = -4 kpsi (b) dx = 10 kpsi, Txy = 4 kpsi cew (c) Øx = −2 kpsi, Gy = –8 kpsi, Txy = 4 kpsicw

3-18 3-19 For each of the stress states listed below, find all three principal normal and shear stresses. Draw a complete Mohr's three-circle diagram at points of interest. (a) ox= -80 MPa, oy = -30 MPa, Txy = 20 MPa cw (b) dx = 30 MPa, oy = -60 MPa, Txy = 30 MPa cw (c) dx = 40 MPa, O₂ = -30 MPa, Txy = 20 MPa ccw (d) x = 50 MPa, 0₂ = -20 MPa, Txy = 30 MPa cw Repeat Problem 3-18 for: (a) ox= 10 kpsi, oy = -4 kpsi (b) dx = 10 kpsi, Txy = 4 kpsi cew (c) Øx = −2 kpsi, Gy = –8 kpsi, Txy = 4 kpsicw

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 7.3.24P: The stresses acting on a stress element on the arm of a power excavator (see figure) are ax= 52 MPa...

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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

Answer 3-19
Please include solution and brief reflection.

3-18
3-19
For each of the stress states listed below, find all three principal normal and shear stresses. Draw a complete Mohr's three-circle diagram and label all
points of interest.
(a) ox= -80 MPa, oy = -30 MPa, xy = 20 MPa cw
(b) ox= 30 MPa, oy = -60 MPa, xy = 30 MPa cw
(c) dx = 40 MPa, O₂ = -30 MPa, Txy = 20 MPa ccw
(d) x = 50 MPa, o₂ = -20 MPa, Txy = 30 MPa cw
Repeat Problem 3-18 for:
(a) σx = 10 kpsi, oy = -4 kpsi
(b) σx = 10 kpsi, Txy = 4 kpsi cew
(c) ox = −2 kpsi, 0y = –8 kpsi, Txy = 4 kpsicw
(d) σx = 10 kpsi, σy = −30 kpsi, Txy = 10 kpsi cew

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