A laminae is considered a plate with only biaxial stresses in plane stress conditions. From Generalized Hooke’s Law that you learnt in Strength of Materials, we know these equations to be true in such conditions. Or in other words, we know the Compliance matrix that represents the laminae. Find the Stiffness matrix of the same laminae. Or in other words, prove that the equations below are true for the same laminae. The equations below are what we discussed in Lecture.   Assume the laminae has isotropic properties.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...
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A laminae is considered a plate with only biaxial stresses in plane stress conditions. From Generalized Hooke’s
Law that you learnt in Strength of Materials, we know these equations to be true in such conditions.

Or in other words, we know the Compliance matrix that represents the laminae. Find the Stiffness matrix of the
same laminae. Or in other words, prove that the equations below are true for the same laminae. The equations
below are what we discussed in Lecture.
 
Assume the laminae has isotropic properties.
 
 
A laminae is considered a plate with only biaxial stresses in plane stress conditions. From Generalized Hooke's
Law that you learnt in Strength of Materials, we know these equations to be true in such conditions.
VO
<= [0₂-V0₁₂]
Exx
xxxx
E
Eyy
=
-H[o,,-vo,]
νσ.
E
€22 _V(0+0„)]
=
o yy
уу.
E
Or in other words, we know the Compliance matrix that represents the laminae. Find the Stiffness matrix of the
same laminae. Or in other words, prove that the equations below are true for the same laminae. The equations
below are what we discussed in Lecture.
0₂ = x ² [5 + v6 ]
XxX
1-
Assume the laminae has isotropic properties.
Txv=GY xy
xy
E
1 - 1 2 [Exy + VERA]
Transcribed Image Text:A laminae is considered a plate with only biaxial stresses in plane stress conditions. From Generalized Hooke's Law that you learnt in Strength of Materials, we know these equations to be true in such conditions. VO <= [0₂-V0₁₂] Exx xxxx E Eyy = -H[o,,-vo,] νσ. E €22 _V(0+0„)] = o yy уу. E Or in other words, we know the Compliance matrix that represents the laminae. Find the Stiffness matrix of the same laminae. Or in other words, prove that the equations below are true for the same laminae. The equations below are what we discussed in Lecture. 0₂ = x ² [5 + v6 ] XxX 1- Assume the laminae has isotropic properties. Txv=GY xy xy E 1 - 1 2 [Exy + VERA]
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