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com:ctrtransform [2018/02/20 09:32] 127.0.0.1 external edit |
com:ctrtransform [2018/08/15 13:25] (current) phil [Thin Shell] |
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| \( \quad S_{x_G} = S_{x_L}*cos^2(\alpha)+2*S_{xy_L}*sin(\alpha)*cos(\alpha)+S_{y_L}sin^2(\alpha) \) | \( \quad S_{x_G} = S_{x_L}*cos^2(\alpha)+2*S_{xy_L}*sin(\alpha)*cos(\alpha)+S_{y_L}sin^2(\alpha) \) | ||
| \( \quad S_{y_G} = S_{x_L}*sin^2(\alpha)-2*S_{xy_L}*sin(\alpha)*cos(\alpha)+S_{y_L}cos^2(\alpha) \) | \( \quad S_{y_G} = S_{x_L}*sin^2(\alpha)-2*S_{xy_L}*sin(\alpha)*cos(\alpha)+S_{y_L}cos^2(\alpha) \) | ||
| - | \( \quad S_{xy_G} = S_{xy_L}*(cos^2(\alpha)-sin^2(\alpha))-(S_{y_L}+S_{x_L})*sin(\alpha)*cos(\alpha) \) | + | \( \quad S_{xy_G} = S_{xy_L}*(cos^2(\alpha)-sin^2(\alpha))+(S_{y_L}-S_{x_L})*sin(\alpha)*cos(\alpha) \) |
| \( \quad M_{x_G} = M_{x_L}*cos^2(\alpha)+2*M_{xy_L}*sin(\alpha)*cos(\alpha)+M_{y_L}sin^2(\alpha) \) | \( \quad M_{x_G} = M_{x_L}*cos^2(\alpha)+2*M_{xy_L}*sin(\alpha)*cos(\alpha)+M_{y_L}sin^2(\alpha) \) | ||
| \( \quad M_{y_G} = M_{x_L}*sin^2(\alpha)-2*M_{xy_L}*sin(\alpha)*cos(\alpha)+M_{y_L}cos^2(\alpha) \) | \( \quad M_{y_G} = M_{x_L}*sin^2(\alpha)-2*M_{xy_L}*sin(\alpha)*cos(\alpha)+M_{y_L}cos^2(\alpha) \) | ||
| - | \( \quad M_{xy_G} = M_{xy_L}*(cos^2(\alpha)-sin^2(\alpha))-(M_{y_L}+M_{x_L})*sin(\alpha)*cos(\alpha) \) | + | \( \quad M_{xy_G} = M_{xy_L}*(cos^2(\alpha)-sin^2(\alpha))+(M_{y_L}-M_{x_L})*sin(\alpha)*cos(\alpha) \) |
| #;; | #;; | ||
| ==== Thick Shell ==== | ==== Thick Shell ==== | ||
| \( \quad N_{x_G} = N_{x_L}*cos^2(\alpha)+2*N_{xy_L}*sin(\alpha)*cos(\alpha)+N_{y_L}sin^2(\alpha) \) | \( \quad N_{x_G} = N_{x_L}*cos^2(\alpha)+2*N_{xy_L}*sin(\alpha)*cos(\alpha)+N_{y_L}sin^2(\alpha) \) | ||
| \( \quad N_{y_G} = N_{x_L}*sin^2(\alpha)-2*N_{xy_L}*sin(\alpha)*cos(\alpha)+N_{y_L}cos^2(\alpha) \) | \( \quad N_{y_G} = N_{x_L}*sin^2(\alpha)-2*N_{xy_L}*sin(\alpha)*cos(\alpha)+N_{y_L}cos^2(\alpha) \) | ||
| - | \( \quad N_{xy_G} = N_{xy_L}*(cos^2(\alpha)-sin^2(\alpha))-(N_{y_L}+N_{x_L})*sin(\alpha)*cos(\alpha) \) | + | \( \quad N_{xy_G} = N_{xy_L}*(cos^2(\alpha)-sin^2(\alpha))+(N_{y_L}-N_{x_L})*sin(\alpha)*cos(\alpha) \) |
| \( \quad M_{x_G} = M_{x_L}*cos^2(\alpha)+2*M_{xy_L}*sin(\alpha)*cos(\alpha)+M_{y_L}sin^2(\alpha) \) | \( \quad M_{x_G} = M_{x_L}*cos^2(\alpha)+2*M_{xy_L}*sin(\alpha)*cos(\alpha)+M_{y_L}sin^2(\alpha) \) | ||
| \( \quad M_{y_G} = M_{x_L}*sin^2(\alpha)-2*M_{xy_L}*sin(\alpha)*cos(\alpha)+M_{y_L}cos^2(\alpha) \) | \( \quad M_{y_G} = M_{x_L}*sin^2(\alpha)-2*M_{xy_L}*sin(\alpha)*cos(\alpha)+M_{y_L}cos^2(\alpha) \) | ||
| - | \( \quad M_{xy_G} = M_{xy_L}*(cos^2(\alpha)-sin^2(\alpha))-(M_{y_L}+M_{x_L})*sin(\alpha)*cos(\alpha) \) | + | \( \quad M_{xy_G} = M_{xy_L}*(cos^2(\alpha)-sin^2(\alpha))+(M_{y_L}-M_{x_L})*sin(\alpha)*cos(\alpha) \) |
| \( \quad Q_{x_G} = Q_{x_L}*cos(\alpha)+Q_{y_L}*sin(\alpha) \) \\ | \( \quad Q_{x_G} = Q_{x_L}*cos(\alpha)+Q_{y_L}*sin(\alpha) \) \\ | ||
| \( \quad Q_{y_G} = -Q_{x_L}*sin(\alpha)+Q_{y_L}*cos(\alpha) \) | \( \quad Q_{y_G} = -Q_{x_L}*sin(\alpha)+Q_{y_L}*cos(\alpha) \) | ||
com/ctrtransform.1519137121.txt.gz ยท Last modified: 2018/08/15 13:24 (external edit)
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