OPTIMIZAREA UNEI GRINZI DUBLU T Variabile (necunoscute) de proiectare

limite inf

Valori optime

limite sup

30 h 990.1184485 mm 1500.00

1000

10 b 198.0236897 mm 500.00

270

6 tf 10.43017095 mm 40

18

6 tw 11.92913793 mm 40

13

Parametrii problemei: (cunsocute) caracteristici de material si actiuni

simbol

Lungimea L [m] 8.75 modul elasticitate E N/mm2 210000

Numeric Analitic limita de curgere fy Mpa 235

Aw 11811.26 13000

MEd MEd kNm 1151.307

Af 2065.421 4860 VEd VEd kN 516.019

eps=sqrt(235/fy) eps

1

Af/Aw 0.17 0.37

Parametri variabili

aria =h*tw+2*b*tf

A 15942.101 I=tw*h^3/12+2*[b*tf^3/12+b*tf*(h+tf)^2/4] I 1998796833.851 Wpl=tw*h^2/4+b*tf*(h+tf)

Wpl 4990190.559

4990.190559 cm3

moment M=L*(2*P+q*L)/8

M_Ed 1151307000.000 Nmm MRd

Mpl_Rd 1172694781.303

Forta taietoare Vmax=(P2+q*L)/2

VEd 516019.000 N tens. de forfecare tau=Vmax/(1000*h*tw) Vpl_Rd 1602519.961

sageata max dmax=L^3*P/(64*E*I*10^6) w_max 21.875 mm

A_analitic diferenta de greutate

FUNCTIA OBIECTIV

15942.101

159.42 cm2

227.2 cm2 466 kG/element

RESTRICTII

limite superioare

MEd < Mpl_Rd 1151307000.000

<

1172694781.303 1172.695 kNm zveltetea talpii 9.493

<

10

zvelteatea inimii 83.000

<

83 VEd < Vpl_Rd 516019.000

<

1602519.961 1602.52 kN

sageata L/400 21.875

<

21.875 b<L/25 198.0236897

<

350

b>h/5 198.0236897

<

198.0236897