: ( ) : :2014-2015:E :\

1- 8 .2- . : , 0.6 , 0.1 , , /180 50 , , . .

G = T*L J*:G = (N\m^2) T = (N.m) L = (m)J = (m^4) = (rad)

G (*10^9) (rad) (deg)TF

25.70.0291.670.551

22.90.0653.751102

15.10.1488.501.5153

J= constant =4.02*10^-10 L=constant=0.6 mT1=F1 * r=5 *0.1=0.5 N.mT2=F2 * r=10 *0.1=1 N.mT3=F3* r=15 *0.1=1.5 N.m

G1 = T1*L1 = (0.5)*(0.6) = 25.7*10^9 Pa J1* 1 (4.02*10^-10)*(0.029)

G2 = T2*L2 = (1)*(0.6) = 22.9*10^9 Pa J2*2(4.02*10^-10)*(0.065)

G3 = T3*L3 = (1.5)*(0.6) = 15.1*10^9 Pa J3*3 (4.02*10^-10)*(0.148)

G = (G1+G2+G3) = (25.7+22.9+15.1)*10^9 = 21.23*10^9 Pa 3 3

21.23 25.6 . .G : ( ) : :2014-2015:E :\

1- 8 .2- . : , , 5 , 0.1 , 50 . , .

G = T*L J*:G = (N\m^2) T = (N.m) L = (m)J = (m^4) = (rad)

G (*10^9) (rad) (deg)L

25.20.00990.5751

23.20.01610.92102

22.60.02181.25153

J = constant = 4.02*10^-10 m^4T = constant = 5 * 0.1 = 0.5 N.mL1 = 0.2 m , L2 = 0.3 m , L3 = 0.4 m.

G1 = T*L1 = (0.5)*(0.2) = 25.2*10^9 Pa J1* 1 (4.02*10^-10)*(0.0099)

G2 = T*L2 = (0.5)*(0.3) = 23.2*10^9 Pa J2*2(4.02*10^-10)*(0.0161)

G3 = T*L3 = (0.5)*(0.4) = 22.6*10^9 Pa J3*3 (4.02*10^-10)*(0.0248)

G = (G1+G2+G3) = (25.2+23.2+22.6)*10^9 = 23.67*10^9 Pa 3 3

23.67 26.6 . .