靜力學架構 及 基本觀念 - cust.edu.tw

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2 C. (a). F s = kX n (n 1). (b). F s = kX 1 ( n = 1). d. (a). Ve = F s dX. 1. F s dX. n +1. (b) Ve = = kX. n +1. 1. F s dX. 2. (c) Ve = = kX. 2. **< > . 1. ( ) . (1) ( ) . F1 = F2 = 0. (2) ( ) . F2 = 0 F1 = F3. (3) ( ) . F1 = F3 F2 = F4. **2.. (1) . a.. b.. c.. (2) .. ( ) . (3) . a.. b.. c.. (4) F x = 0 Fy = 0 M 0 = 0. M 0 =0. **< > . 1.. (1) N . (2) . a. < s N f = . b. = s N f = f s = s N. c. > s N f = f k = k N. 1.. ( ) . --- ( ) . 3.. (1) ( ). (2) ( ). (3) ( ) ( ) ( ) . tan = tan = . **< > . 1.. (1) x =. xdA , y=. ydA ( ~ ). A A. x=. x A i i , y=. y A i i ( ). A i A i (1) ( I J ) . a. ( ). ( ). b.. (a) . I x = y 2 dA , I y = x 2 dA , J = I x + I y = ( x 2 + y 2 ) dA = r 2 dA. (b) . I x = y 2 dm , I y = x 2 dm , J = I x + I y = ( x 2 + y 2 ) dm = r 2 dm (3).

3 ( I xy ) . a. I xy = xy dA. b. I xy = xy dm (4). (Q) . a.. Q x = ydA , Q y = xdA ( ~ ). Qx = yi Ai , Q y = xi Ai ( ). (5). (Q) (I) ( ). a. M= ( I 0 ). b. R= ( Q0 ). M I. c. y p = = 0. R Q0. 2.. (1) a. I = I + A d 2. b. I = I + m d 2. (2) . ** (3) (I) . (I) . 3. (K) . I. (1) a. K= I = A K 2. A. I. b. K= I = m K 2. m (2) . ** (3) K I ( ). 4.. (1).. (2).. a.. b. ( ). c. ( ) . ( ) . d. (a) x =. x A i i , y=. y A. i i ( ). A i A i (b) I = I i = I 1 + I 2 + I 3 .. I i = I i + Ai d i2. (3).. 5.. (1). Pappus . ** (2). ( ). (a) ( ) . (b) . (c) . (d) . ( : ) ( ). ( ) . (2) ( ). a. p = h . b. ( ). (a).. (b). ( R x ) .. (a) R x = ( ) ( ). (b) ( ). (c) . (c). ( R y ) . (a) R y = W = ( ) ( ). (b) ( ). (c) . (d). R = R x2 + R y2.

4 < > . 1.. (1) .. r r r r (2) V A ( = V A ) V B ( = V B ) ( ).. (2) . 2.. (1) .. v (2) (a). B A V B. A. v (b) . A ( ) B V B. A. r r r (3) V B = V B V A ( ) . A. v (4) V B B A ( ) B . A. A ( ) . " . < > . 1. 0 o , 30 o , 45o , 60 o , 90 o Sin Cos Tan . (3 4 5) . ** 2.. 3. ( ) . ------- ( ) 2 .. **< > . 1.. 2.