Question

A water tank 3m in diameter and 6m high is made from a steel taving a thickness of 12mm. When tank is filled w/water determine the circumference stress.
Det. the tank stressL at the buttom of the tank when it is filled w/water.
if the circumference stress is limited to 5Mpa what is the max. height of the water?

Answer 1

Volume of tank = ? @patbigFat

Answer 2

not stated sir ..

Answer 3

nono... can u work it out please?

Answer 4

V=Pi x r ^2 x h ?

Answer 5

yup

Answer 6

is it 169.6464m?

Answer 7

no

Answer 8

what are u using for r?

Answer 9

raduis sir?

Answer 10

yeah... what number are u plugging into ur equation tho... for r?

Answer 11

3 sir?

Answer 12

no... 3 = diameter
radius is half of diameter

Answer 13

so give it another shot with r = 1.5

so V=??

Answer 14

56.54 m3

Answer 15

i got 42.41... how are u calculating this?
3.14159 x 1.5^2 x 6
=42.4115

Answer 16

my mistake sorry ..

Answer 17

all good dude
now... surface area of inside of tank? = ??

Answer 18

i tot when i sqr 1.5 = 3 so i did a manual calculating .... my bad....

Answer 19

SA = 2 × pi × r2 + 2 × pi × r × h ?

Answer 20

70.686 m^2 ?

Answer 21

guyz help?

Answer 22

hoop stress \(\large \sigma_{\theta} = \frac{P \ D}{2t}\)
D = 3, t = 12mm
get pressure from bernoulli \(P = \rho g h\)
h = 6

plug and play

[if you know some calculus, the formula is deriveable; but i think it is also pretty standard for thin walled pressure vessels. been ages since i did this stuff.]

you can get steel's material properties online, for the end bit you will need its tensile strength and the hoop stress is measured around the circumference , ie tangentially to the circle

Answer 23

actually you don't need to look at steel at all

you are told "the circumference stress is limited to 5Mpa" so you are now solving h for a given \(\sigma_{\theta}\)

Answer 24

Uhmm.m P=pgh by the way what's "pg" ?

Answer 25

\(\rho \equiv\) density of fluid, here water
g \(\equiv\) gravity = \(9.8 m/s^2\)

Answer 26

sorry guys, fell asleep last night

Answer 27

howd u go with this?