Elementary Mechanics of Fluids

CE 319 F

Daene McKinney

Hydrostatic Forces on Curved

Surfaces

Pressure on Curved Surface

xAC

xAC

x

FF

FF

F

0

Fx

Fy

ycp

CBy

CBy

y

FWF

WFF

F

0

Example (3.13)

kN

ApFV

5.78

1*2*4*9810

kN

rVW

8.30

1*4**25.0*9810

1*4

2

Find: F

2 m

4 m

FV

FH

W

F

Fy

Fx

kNF

F

y

y

3.109

5.788.30

kNF

ApF

FFF

x

x

xHx

1.98

1*2*9810*5

0

WFFF Vyy

0

Example (3.13)

mAy

Iyycp 067.0

1*2*5

12/2*1 3

2 m

4 m

FV

FH

W

F

Fy

Fx

WVycp xWFFx *1*

mr

xW 849.03

4

mx

x

cp

cp

957.03.109

849.0*8.301*5.78

Wxyycp

Example (3.13)

2 m

4 m

F=146.9 kN

Fx =98.1 kN

Fy =109.3 kN

0.957 m

1.067 m

o

1

42

2

360*8975.0

8975.03.109

1.98tan

rad

degrad

rad

WApF ACi WVF ABCD

Example

A C

B B

x

y 6 mHinge

Fy

Fx

kN

AyF CBx

6.176

1*6*3*9810

m

yy

11*6*3

12/6*1 3

kN

VF ABCy

4.277

1*4

6*9810

2

m

rx

55.2*3

6*43

4

HW (3.118)

HW (3.128)

HW (3.129)

lbf

ftftftlbfft

ApFx

000,120,3

50*40*/4.62*25 3

lbf

Fy

344,565

40*)30cos50*50*2

150*

360

60(*4.62 2