<content> <p>Processings:</p> </content>

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4 appVersion 1.0.8348.30405

Buckling Length

Dr Ioan DIACU

Backgrounds:

Relative Rigidities:

Equation:

ε β π ε / :

L.b β L * :

kφ.MA 3 E * I * L / :

kφ.MA 4 E * I * L / :

<content> <p>Processings:</p> </content>

Processings:

2 Variants of the Function (Equation): ε C.12w cas Fon cε ε cos : sε ε sin : C.1b C.2b C.wb 13 mat C.12w : c12 C.1b C.2b + : 14 mat C.1b ε * - ε 2^- C.1b - C.2b cε * ε sε * - ε cε * - C.2b sε * - C.2b ε / C.wb sε * - C.wb 1 cε - (* ε 2^C.wb - 33 mat det cas 1 ≡ C.wb C.1b * C.2b * 22 cε * - ε sε * - (* c12 C.wb * ε * sε ε cε * - (* C.wb C.1b C.2b * + (ε 3^* sε * c12 ε 4^* cε * ε 5^sε * - 41 mat sum cases 21 line :

Equation Solution: C.1b C.2b C.wb cas Buck C.12w C.1b C.2b C.wb 13 mat : rF x C.12w cas Fon 0 ≡ x 0.1 20 solve : ε rF Min : β π ε / : (41 line :

EXAMPLES:

Example 1:

Input Data:

C.1b 0 : C.2b 1010^: C.wb 1010^: 31 line

Results:

C.1b C.2b C.wb 1 Buck 0.6992

C.1b C.2b C.wb 2 Buck 0.6992

Example 2

Input Data:

C.1b 1010^: C.2b 1010^: C.wb 1010^: 31 line

Results:

C.1b C.2b C.wb 1 Buck 0.5

C.1b C.2b C.wb 2 Buck 0.5

Example 3

Input Data:

C.1b 0 : C.2b 0 : C.wb 1010^: 31 line

Results:

C.1b C.2b C.wb 1 Buck 1

C.1b C.2b C.wb 2 Buck 1