Resultant Moments:
The resultant moments per unit length are defined as
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(5.22) |
Or these can be written as
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(5.23) |
Now, using Equation (5.15) we can write,
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(5.24) |
Now, with the same justification as given for Equation (5.19), we can write the above equation as
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(5.25) |
This can be written as
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(5.26) |
where
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(5.27) |
The matrix represents the bending stiffness, that is, it relates resultant moments with mid-plane curvatures. Again, the matrix is also symmetric. Further, it is important to note that the matrix relates the resultant moments with mid-plane curvatures as well.
Figure 5.5: Resultant moments per unit length on a laminate |
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