Q1// An element in the boiler is triaxially stressed, the stresses distribution is given by (see Figure 1). Fox= 75 MPa; oy= 60 MPa; o = 50 MPa; ty 25 MPa; 1 - 25 MPa; t=0 MPa. determine the omponents of this stress state on a x'y'z' coordinate axes system described by the following direction cosines. y 2/3 2/3 1/3 2/3 -1/3 -2/3 2/3 y' -2/3 z' -1/3 Compute also the magnitudes and directions of the principal stresses. 60 MPa 25 MPa 75 MPa 50 MPa

Q1// An element in the boiler is triaxially stressed, the stresses distribution is given by (see Figure 1). Fox= 75 MPa; oy= 60 MPa; o = 50 MPa; ty 25 MPa; 1 - 25 MPa; t=0 MPa. determine the omponents of this stress state on a x'y'z' coordinate axes system described by the following direction cosines. y 2/3 2/3 1/3 2/3 -1/3 -2/3 2/3 y' -2/3 z' -1/3 Compute also the magnitudes and directions of the principal stresses. 60 MPa 25 MPa 75 MPa 50 MPa

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 7.3.10P: The normal and shear stresses acting on element B are ??x= -46 MPa, sy= -13 MPa, and txy= 21 MPa...

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Q1// An element in the boiler is triaxially stressed, the stresses distribution is given by (see Figure 1).
Ox = 75 MPa; oy = 60 MPa; o = 50 MPa; ty = 25 MPa; Tyz = - 25 MPa; tx = 0 MPa. determine the
components of this stress state on ax'y'z' coordinate axes system described by the following direction
cosines.
y
x'
2/3
-2/3
-1/3
2/3
1/3
2/3
-1/3
-2/3
2/3
Compute also the magnitudes and directions of the principal stresses.
60 MPa
25 MPa
75 MPa
50 MPa
25 MPа
Figure 1

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