Funzioni

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Funzioni

f# x# a# b# UInt u# b# a# - UnitsOf : u# f# x# xt# u# * ≡ at xt# a# u# / b# u# / int * 21 line :

ε σ.c 0 ε 0 ≤ 1000 ε * 250 ε * - 1 + (* f.cd * ε 0.2 % * < f.cd cases :

f.cd 35 MPa * :

E.s 210 GPa * :

ε σ.s E.s ε * :

V ID x y 100230 cm * 0330 cm * 14 cm * 4014 cm * 50063 mat :

Definizioni

V V 2 V rows 2 V cols submatrix : cm 0030030140140052 mat

y.v V 2 col :

x.v V 1 col :

x.v cm 030300051 mat

y.v cm 001414051 mat

n.v x.v length 1 - : 4

barre x y # ϕ 15 cm * 115 mm * 38 mm * 15 cm * 25 mm * 312 mm * 34 mat :

A.s 61021 mat cm 2^* :

Definizioni

x.s barre 2 barre rows 11 submatrix :

y.s barre 2 barre rows 22 submatrix :

r.b x.s y.s augment :

num barre 2 barre rows 33 submatrix :

dia barre 2 barre rows 44 submatrix :

i 1 num length range num i el ≠ A.s i el num i el π 4 / * dia i el (2^* : A.s i el if for

n.b barre rows 1 - : 2

y.G.CLS 7 cm * :

x.G.CLS 15 cm * :

N.Ed 500 kN * :

M.Ed 20 kN * m * :

ε.G χ y ε ε.G y y.G.CLS - (χ * + :

x.min x.v min : 0

x.max x.v max : mm 300

y.min y.v min : 0

y.max y.v max : mm 140

ε.G χ N.int.CLS ε.G χ y ε σ.c y y.min y.max UInt x x.min x.max UInt :

ε.G χ N.int.CLS m m 0100 ε.G * m 7 - 100 xt# * + (* χ * + 100 / 0 ≤ 175000000 kg * 100 ε.G * m 7 - 100 xt# * + (* χ * + (* 25100 ε.G * m 7 - 100 xt# * + (* χ * + (* - (* m s 2^* / 100 ε.G * m 7 - 100 xt# * + (* χ * + 100 / 1500 / < 35000000 kg * m s 2^* / cases xt# 0750 / int x xt# m * ≡ at * xt# 0310 / int *

ε.G χ N.int.As i Clear 1 A.s i el ε.G χ y.s i el ε σ.s * i 1 n.b sum * 21 line :

ε.G χ N.int.As 9007199254741 kg * m * 3072127966461070000000000000000000000000000000200 ε.G * 9 m * χ * + (* 6912287924537440000000000000000000000000000000200 ε.G * 9 m * χ * - (* + (* 174762666666668000000000000000000000000000000000000000 s 2^* /

ε.G χ M.int.CLS y y.G.CLS - (ε.G χ y ε σ.c * y y.min y.max UInt x x.min x.max UInt :

ε.G χ M.int.CLS m m m 7 - 100 xt# * + (* 0100 ε.G * m 7 - 100 xt# * + (* χ * + 100 / 0 ≤ 175000000 kg * 100 ε.G * m 7 - 100 xt# * + (* χ * + (* 25100 ε.G * m 7 - 100 xt# * + (* χ * + (* - (* m s 2^* / 100 ε.G * m 7 - 100 xt# * + (* χ * + 100 / 1500 / < 35000000 kg * m s 2^* / cases * 100 / xt# 0750 / int x xt# m * ≡ at * xt# 0310 / int *

ε.G χ M.int.As i Clear 1 A.s i el ε.G χ y.s i el ε σ.s * y.s i el y.G.CLS - (* i 1 n.b sum * 21 line :

ε.G χ M.int.As 4096 kg * m 2^* 311591295347935200 ε.G * 9 m * χ * + (* 701080414532848200 ε.G * 9 m * χ * - (* - (* 179123407252653 s 2^* /

eq ε.G χ N.int.CLS ε.G χ N.int.As + N.Ed ≡ ε.G χ M.int.CLS ε.G χ M.int.As + M.Ed ≡ 21 mat :

eq Unknowns x xt# ε.G χ 41 mat

eq ε.G 0.001 ≡ χ 0.01 ≡ 21 mat FindRoot #

lastError Requested matrix element doesn't exist.

From Mathcad the solution is: (0.000324,0.0131535/m)

The solving of the 1 var eqn works:

x f x 0.0131535 1 m / * N.int.CLS x 0.0131535 1 m / * N.int.As + N.Ed - :

x f kN / 0 ≡ x 0 0.01 solve 0.000324