A concrete column has a diameter of 390 mm and a length of 2.8 m . If the density (mass/volume) of concrete is 2.45 Mg/m3, determine the weight of the column in pounds.

 1804.61 lbs

Explanation:

Given, diameter of concrete column = 390 mm

= 0.390 m  [ 1 mm =0.001 m]

⇒ Radius =

also, Length = 2.8 m

Volume of column  (cylindrical)=

Density    

⇒ Mass = 2.45 x (Volume)

= 2.45 (0.3343158) Mg

= 0.81907371 Mg

⇒ Mass = 819.07271 kg  [1 Mg =1000 kg]

Weight =

1 N= 0.22482 lb

Then, Weight =

Weight of the column in pounds.= 1804.61 lbs (approx)

Weight of the column is 1804.61 lbs.

Given that,

According to the given data, calculation are as follows,

Diameter = 0.39m

So, radius (r) = 0.39 2 = 0.195m

Volume of column =

By putting the value, we get

Volume = [ (3.14) 2.8m ]

=

Now, as we know that,

Density = Mass Volume

Or, Mass (M) = Density Volume

= 2.45 0.3343158

= 819.07271 kg

Now Weight = (M Gravity )         Value of gravity is 9.8.

Weight = 819.07271 kg 9.8

= 8026.91N

Where, 1N = 0.22482 lbs

So, Weight of the column = 1804.61 lbs

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