21

Ex2: Hydrostatic Forces on Completely Submerged Curved Surfaces

Solved Examples

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

22

Ex2: Hydrostatic Forces on Completely Submerged Curved Surfaces

Solved Examples

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

23

Ex2: Hydrostatic Forces on Completely Submerged Curved Surfaces

Solved Examples

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

24

Ex2: Hydrostatic Forces on Completely Submerged Curved Surfaces

Solved Examples

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

To find the weight of the cylinder per m length of the cylinder. Taking a moment

about point A at the location of the hinge and equating it to zero gives

25

Fluid statics

Force to pressure vessels

Cylindrical pressure vessel

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

26

Fluid statics

Force to pressure vessels

Cylindrical pressure vessel

the stress σ1 is called circumferential stressor the hoop stress, and the stress σ2 is called the longitudinal stress or the axial stress.

σ2

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

27

Fluid statics

Force to pressure vessels

Cylindrical pressure vessel

lrplt 22 1 t

pr

21

Equilibrium of forces to find the

circumferential stress:

Equilibrium of forces to find the

longitudinal stress

prrt 2

22 t

pr2

σ2

12 2

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

28

Fluid statics

Spherical pressure vessel

Force to pressure vessels

2prF

trm 2forceHorizontal

2

trrm

22 rptrm

t

rp

2

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

29

Fluid statics

Buoyancy and Stability

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

30

Fluid statics

Pressure Distribution in Rigid-Body Motion

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

31

Fluid statics

Pressure Distribution in Rigid-Body Motion

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

32

Example 2: Pressure Distribution in Rigid-Body Motion

Solved Examples

The coffee cup in the following figure is

removed from the drag racer, placed on a

turntable, and rotated about its central axis

until a rigid-body mode occurs. Find (a) the

angular velocity which will cause the coffee

to just reach the lip of the cup and (b) the

gage pressure at point A for this condition.

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

33

Example 2: Pressure Distribution in Rigid-Body Motion

Solved Examples

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

34

Example 2: Pressure Distribution in Rigid-Body Motion

Solved Examples

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

35

Q (2)

Quiz

36

Lecture (2) – Fluid Mechanics I – 1st

year – Mechanical Dept.

Two water tanks are connected to each other through a

mercury manometer with inclined tubes, as shown in the

following figure. If the pressure difference between the

two tanks is 20 kPa, calculate a and θ.

37

Hw (3)

Homework

38

Find the net hydrostatic force per unit width

on the rectangular gate AB in the following

figure and its line of action.

Lecture (3) – Fluid Mechanics I – 1st

year – Mechanical Dept.

41