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Calculating pressure acting on sides of tank

  1. Mar 20, 2010 #1
    1. The problem statement, all variables and given/known data

    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?

    2. Relevant 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

    3. 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?
     
  2. jcsd
  3. Mar 20, 2010 #2

    Filip Larsen

    User Avatar
    Gold Member

    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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