丹耀貿易有限公司

9. 傾斜滾動/滑動落下

公式

W1 = 0.5 x m x V²
W2 = F x S
W3 = W1 + W2
W4 = W3 x C
VD =
Me = 2 x W3 ÷ VD²

公式

計算方法與6.1相同，除了
W2 = 0
W1 = m x g x h
VD =√2 x g x h x (R÷L)

tan α= s ÷ R 
(如果偏心角度過大請使用偏心角度轉接器)

10. 迴轉式平行扭矩 

公式

W1 = mxV²x0.25=0.5x1xω²  
W2 = M x S ÷ R 
W3 = W1 + W2
W4 = W3 x C 
VD = VxR÷L =ωxR 
Me = 2 x W3 ÷ VD² 

已知參數

m =1,000 Kg 
V =1.1 m/s
M =1,000 Nm
R =0.8 m
L =1.25 m
C =100 /hr
S =0.05 m

計算

W1 = 0.5 x 1,000 x 1.1² =605 Nm 
W2 = 1,000 x 0.05 ÷ 0.8 =63 Nm
W3 = 605 + 63 =668 Nm/C
W4 = 668 x 100 =66,800 Nm/hr
VD = 1.1 x 0.8 ÷ 1.25 =0.7 m/s
Me = 2 x 668 ÷0.7² =2727 Kg S =0.05 m

11. 搖擺臂重物有附加推進扭矩

公式 

W1 = mxV2x0.18=0.5x1xω² 
W2 = M x S ÷ R 
W3 = W1 + W2 
W4 = W3 x C 
VD = VxR÷L =ωxR
Me = 2 x W3 ÷ VD²

已知參數

I =56 Kgm² 
ω=1 rad/s
M =300 Nm
R =0.8 m
L =1.5 m
C =1,200 /hr
S =0.025 m

計算

W1 = 0.5 x 56 x 1² =28 Nm 
W2 = 300 x 0.025 ÷ 0.8 =9 Nm
W3 = 28 + 9 =37 Nm/C
W4 = 37 x 1200 =44,400 Nm/hr
VD = 1 x 0.8 =0.8 m/s
Me = 2 x 37 ÷ 0.8² =116 Kg

12. 搖擺臂重物有附加推進力  (平均分散重量) 

公式

W1 = mxV2x0.17=0.5x1xω² 
W2 = F x r x s ÷ R
W3 = W1 + W2
W4 = W3 x C
VD = VxR÷L =ωxR
Me = 2 x W3 ÷ VD²

已知參數

m =1,000 Kgm² 
v =2 rad/s 
M =4,200 Nm
R =0.8 m
L =1.2 m
C =500 /hr
r =0.6 m
F =700 N
S =0.05 m

計算

W1 = 1,000 x 0.17 x 2² =680 Nm 
W2 = 700x0.6x0.05÷0.8 =263 Nm
W3 = 720 + 263 =943 Nm/C
W4 = 943 x 500 =471,500 Nm/hr
VD = 2 x 0.8 ÷ 1.2 =1.33 m/s
Me = 2 x 983 ÷ 1.33² =1066 Kg

14. 1台移動車 2支吸震器對撞

公式

W1 = 0.25 x m x V² 
W2 = F x s
W3 = W1 + W2
W4 = W3 x C
VD = V ÷ 2
Me = 2 x W3 ÷ VD² 

已知參數

m =5,000 Kg 
V =2 m/s
F =3,500 N
C =10 /hr
S =0.15 m

計算

W1 = 0.25 x 5,000 x 2² =5000 Nm 
W2 = 3,500 x 0.15 =525 Nm
W3 = 5,000 + 525 =5,525 Nm/C
W4 = 5,525 x 10 =55,250 Nm/hr
Me = 2 x 5,525 ÷ 1² =11,050 Kg

15. 2台移動車 1支吸震器對撞

公式 

W1 =  
W2 = F x s 
W3 = W1 + W2 
W4 = W3 x C 
VD = v1 + v2 
Me = 2 x W3 ÷ VD²

已知參數

m1 =7,000 Kg 
F =5,000 N 
V1 =1.2 m/s
C =20 /hr
m2 =1,000 Kg
V2 =0.5 m/s
S =0.127 m

計算

W1 = =5,950 Nm 
W2 = 5,000 x 0.127 =635 Nm
W3 = 5,950 + 635 =6,585 Nm/C
W4 = 6,585 x 20 =131,700 Nm/hr
VD = 1.2 + 0.5 =1.7 m/s
Me = 2 x 6,585 ÷ 1.7² =4,557 Kg

16. 2台移動車 2支吸震器對撞 

公式 

W1 =
W2 = F x s 
W3 = W1 + W2
W4 = W3 x C
VD =(v1 + v2) ÷ 2 
Me = 2 x W3 ÷ VD²

已知參數

m1 =7,000 Kg 
F =5,000 N
V1 =1.2 m/s
C =20 /hr
m2 =1,000 Kg
V2 =0.5 m/s
S =0.1 m

計算

W1 = =5,950 Nm 
W2 = 5,000 x0.1 =500 Nm
W3 =(5,950÷2) + 500 =3,475 Nm/C
W4 = 3,475 x 20 =69,500 Nm/hr
VD =(1.2 + 0.5)÷2 =0.85 m/s
Me = 2 x 3,475 ÷ 0.85² =358.9 Kg

A. 沒有附加推進力

B. 有附加推進力

Me = m 

參數說明

m =100 Kg
VD =v= 2 m/s
W1 =W3 = 200 Nm
Me =2x200÷4=100Kg
Me = m

Me = 2 x W3 ÷ VD² 

參數說明

m =100 Kg
F =2,000 N
VD =v= 2 m/s
s =0.1 m
W1 = 200 Nm
W2 = 200 Nm
W3 = 400 Nm
Me =2x400÷2²=200Kg

C. 沒有附加推進力

D. 有附加推進力

Me = m

參數說明

m =20 Kg
VD =v = 2 m/s
W1 =W3 = 40 Nm
Me =2x200÷22=20Kg
Me = m

Me = 2 x W3 ÷ VD² 

參數說明

m =100Kg
v =2 m/s
VD =0.5 m/s
W1 = W3 = 40 Nm
Me =2x40÷0.5²=320Kg

反作用力 Q(N)
Q = ( 1.5 x W3 ) ÷ S

停止時間 t(s)
t = ( 2.6 x S ) ÷ VD²

減速率 a (m/s)

a = ( 0.75 x VD² ) ÷ S