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

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 7.2.2P: Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker...

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The stresses at a point on the down tube of a bicycle frame are trx= 4800 psi and t = -1950 psi (see figure). It is known that one of the principal stresses equals 6375 psi in tension, (a) Determine the stress (b) Determine the other principal stress and the orientation of the principal planes, then show the principal stresses on a sketch of a properly oriented clement.
The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.
An element in plane stress on the surface of an automobile drive shaft (see figure) is subjected to stresses of crv = —45 MPa and rTb = 39 MPa (see figure). It is known that one of the principal stresses equals 41 MPa in tension. (a) Determine the stress (b) Determine the other principal stress and the orientation of the principal planes, then show the principal stresses on a sketch of a properly oriented element.
-18 through 7.4-25 An clement in plane stress is subjected to stresses a,, ay., and axy. (see figure). Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.
At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clement
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-18 through 7.4-25 An clement in plane stress is subjected to stresses ax,ay., and txy. (see figure). Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements. 7.4-18 sx= 2900 kPa, sy= 9100 kPar,txy=-3750kPa
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