22 Jul IS THE CROSS-SECTION UNDER A UNIAXIAL STATE OF STRAIN IN THE LAMINATE COORDINATES?
A tensile test specimen of the material in Exercise 5.4 is 10 mm wide, 2 mm thick, and 150 mm long and it subjected to an axial force of 200 N. The fibers are oriented at = 10 with respect to the loading axis. (a) Compute the in-plane and shear strains in the material coordinate system. (b) Compute the in-plane and shear strains in the laminate coordinate system. (c) Is the cross-section under a uniaxial state of strain in the laminate coordinates? Explain the origin of each nonzero strain. Exercise 5.4 Compute the reduced stiffness [Q] and compliance [S] matrices, and the intralaminar shear stiffness [Q ] and compliance [S] matrices for a lamina with E1 = 35 GPa, E2 = 3.5 GPa, 12 = 0.3, G12 = 1.75 GP a, G23 = 0.35 GP a.
Solution Preview:
In this problem, I have calculated the reduced stiffness and compliance matrices. I have used custom material to find out Q and S. In plane and shear strains in the material coordinate system are computed. The in plane and shear strains in the laminate coordinate system are also computed. Here we have force acting in only one direction which is called inimical loading. There will be stress only in the applied direction of the lamina. Here I am attaching a copy of complete detailed solution. Please go through it and let me know if you face any issue.
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