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γ 7850 kg m 3^/ * :

σ 1670 MPa * :

s 2.5 :

L 256.424 m * :

h 147.04 m * :

g 9.80665 m s 2^/ * :

E 1.9 105^* MPa * :

V.0 5232751.12345662 N * 0.55374 * : kN 2897.6

H V.0 m / ≡

V.0 A.0 m * / σ u cosh s * / ≡

Let

and

and replace H and A0 in the equations

Define functions

u m f1 σ u cosh s * γ g * * / σ u cosh s * E * / u sinh m - (* u + m asinh - (* L - :

u m f2 σ u cosh s * γ g * * / σ u cosh s * 2 E * * / u sinh (2^m 2^- (* u cosh + 1 m 2^+ sqrt - (* h - :

u m f u m f1 u m f2 21 mat :

u m J u m f1 u diff u m f1 m diff u m f2 u diff u m f2 m diff 22 mat :

Iterate

Converged values of u and m

x 0.1 121 mat :

i 16 range u x 1 el : m x 2 el : x x u m J 1 -^u m f * - : 31 line for

u m 21 mat 0.563 0.553745 21 mat

Calculate H and A0

H V.0 m / :

A.0 V.0 u cosh * s * m σ * / :

A.0 0.0091 m 2^*

H kN 5232.7004

Check

H A.0 γ * g * / H E A.0 * / u sinh m - (* u + m asinh - (* L - 9.654919 1010 -^* m *

H A.0 γ * g * / H 2 E * A.0 * / u sinh (2^m 2^- (* u cosh + 1 m 2^+ sqrt - (* h - 3.144441 1010 -^* m *

H A.0 / u cosh * σ s / - 3.2 107 -^* Pa *