Calculating pressure acting on sides of tank

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SUMMARY

The discussion focuses on calculating the maximum pressure and force acting on the sides of a tank filled with water, specifically a tank measuring 10m x 1m x 1m. The hydrostatic pressure is determined using the formula P = l * g * h, resulting in a maximum pressure of 9810 Pa (or 9.81 kPa). The force acting on the sides of the tank is calculated as F = Pcentroid x Area, yielding a force of 49.05 N. The importance of correctly applying units and understanding the centroid in pressure calculations is emphasized for accurate results.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Familiarity with the formula for calculating pressure (P = l * g * h)
  • Knowledge of force calculation using pressure and area (F = Pcentroid x Area)
  • Basic concepts of centroid in fluid mechanics
NEXT STEPS
  • Study the effects of varying water density on pressure calculations
  • Learn about material strength and its impact on tank design
  • Research the concept of bending moments in structural engineering
  • Explore advanced fluid mechanics topics, such as Bernoulli's equation
USEFUL FOR

Engineering students, civil engineers, and anyone involved in fluid mechanics or structural design will benefit from this discussion, particularly those focused on tank design and pressure calculations.

Whatamiat
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Homework Statement



Tank is 10m x 1m x 1m
Tank is full of water.

What is the maximum pressure acting on the Tank?
What is the maximum force acting on the sides of the tank which could cause bending of the tank?

Homework Equations


Pressure = l*g*h
where
P = water pressure (hydrostatic)
l = water density
g = gravitational acceleration.
h = water depth

Force is equal to the pressure at the centroid multiplied by the (projected) area:
Force =Pcentroid x Area: Pcentroid =g x hcentroid

The Attempt at a Solution



P = 1000 x 9.81 x 1
9810Pa, N/m2
or 9.81Kn?

F=(9.81 x (1/2)) x (10x1)
F=49.05N

I am unsure of my force calculation. Both the formula and the calculation.
How do I calculate where the maximum force is acting on the side of the tank that could cause bending if not made of a strong enough material?
 
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The equations look right (assuming you used Pcentroid = 1/2 * Pmax on purpose), but your units got a bit messed up. Try write Pmax as 9.81 kPa or 9810 Pa and check your units in b).
 

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