Chapter 9 (Transverse Statical Stability)

D@FS]KZ  — < ]ZFOTQKZTK T]F]LDFN T]FJLNL]\ D`fptkr  — < ]rfosvkrsk Ttftldfn Ttfjlnlty Kxkrdlsk -<

Foswkr 6

Glvko56. Mlspnfdkhkot ba vksskn (w) 8 63333t :. GH 8 3.=h 4. @kkn 8 ;³ Hbhkot ba stftldfn stfjlnlty 8 GH * Tlo Ѻ * w Hbhkot ba stftldfn stfjlnlty 8 3.= * Tlo(;³) * 633 33 Hbhkot ba stftldfn stfjlnlty 8 4=0.1th Hbhkot ba stftldfn stfjlnlty ba s`lp w`ko s`k ls `kknkm jy ;³ ls 4=0.1th

Foswkr :

Glvko56. :. 4. =.

Mlspnfdkhkot (w) 8 6:333t @kknkm 8 1³ Zlg`tlog nkvkr (GU) 8 3.6h IH 8 0.:h

Hbhkot ba stftldfn stfjlnlty 8 GU * w Hbhkot ba stftldfn stfjlnlty 8 3.6 * 6:333 Hbhkot ba stftldfn stfjlnlty 8 6:33th

GU 8 GH * Tlo Ѻ 3.6 8 GH Tlo(1³) 3.6 8 GH Tlo(1³) 3.<;7h 8 GH

IH 8 IG + GH Sfgk 6 ba =

D@FS]KZ  — < ]ZFOTQKZTK T]F]LDFN T]FJLNL]\ 0.: 8 IG + 3.<;7 0.:  — 3.<;7 8 IG 7.:=4h 8 IG IG ba s`lp ls 7.:=4h

Foswkr 4

Glvko56. :. 4. =.

Mlspnfdkhkot (w) 8 6=333t @kknkm jy 0³ Hbhkot ba stftldfn stfjlnlty 8 =33th IG 8 7.4h

Hbhkot ba stftldfn stfjlnlty 8 GH * Tlo Ѻ * w =33

8 GH * Tlo (0³) * 6=333

=33 Tlo(0³) * 6=333 3.:3;h

8 GH

8 GH

IH 8 IG + GH IH 8 7.4 + 3.:3; IH 8 7.;3;h IH ba t`k s`lp ls 7.;3;h

Foswkr =

Glvko56. :. 4. =. ;.

Mlspnfdkhkot 8 0333t IJ 8 4.;h IH 8 1.;h IG 8 1h @kkn 8 :3³

IH 8 IG + GH 1.; 8 1 + GH Sfgk : ba =

D@FS]KZ  — < ]ZFOTQKZTK T]F]LDFN T]FJLNL]\ 1.;  — 1 8 GH 3.; 8 GH

IH 8 IJ + JH JH 8 IH  — IJ JH 8 1.;h  — 4.; JH 8 4h

Hbhkots ba stftldfn stfjlnlty 8 w * Tlo Ѻ (GH + 6 JH ]fo :

:

Ѻ)

:

Hbhkots ba stftldfn stfjlnlty 8 w * Tlo Ѻ * ((3.;) + (6 * 4 * ]fo (:3³)) : Hbhkots ba stftldfn stfjlnlty 8 0333 * 3.4=: * 3.1<< Hbhkots ba stftldfn stfjlnlty 8 6<6:.;th Hbhkots ba stftldfn stfjlnlty ba s`lp ls 6<6:.;th

Foswkr ;

Glvko56. :. 4. =. ;.

Mlspnfdkhkot (w) 8 =333t IG 8 ;.6h IJ 8 :.6h IH 8 ;.;h @kkn 8 :=³

IH 8 IG + GH IH  — IG 8 GH ;.;  — ;.6 8 GH GH 8 3.=h

IH 8 IJ + JH IH  — IJ 8 JH ;.;  — :.6 8 JH 4.=h 8 JH

Sfgk 4 ba =

D@FS]KZ  — < ]ZFOTQKZTK T]F]LDFN T]FJLNL]\ Hbhkots ba stftldfn stfjlnlty 8 w * Tlo Ѻ (GH + 6 JH ]fo :

:

Ѻ)

:

Hbhkots ba stftldfn stfjlnlty 8 w * Tlo Ѻ * ((3.=) + (6 * 4.= * ]fo (:3³)) : Hbhkots ba stftldfn stfjlnlty 8 =333 * 3.=37 * 3.747 Hbhkots ba stftldfn stfjlnlty 8 66<<.0th Hbhkots ba stftldfn stfjlnlty ba s`lp ls 66<<.0th

-b3b-

Sfgk = ba =