A steel rectangular tube has outside dimensions of 150 mm x 50 mm and a wall thickness of 4 mm. State the inside dimensions, the area of its cross section, and the weight of a piece 1.22 m long.

Answer :

Answer:

 inside dimension  [tex]= 142 mm \times 42 mm[/tex]

cross section area [tex]= 7.5\times 10^{-3} m^2[/tex]

mass of 1.2 meter log steel  [tex] = 1.843\times 10^{-3} \rho[/tex]

Explanation:

given data:

Outside dimension of steel rectangular [tex]= 150 mm\times 50mm[/tex]

Thickness = 4 mm

Long = 1.22 m

inside dimension will be [tex]= (150- 8)mm \times ( 50-8)mm[/tex]

                                         [tex]= 142 mm \times 42 mm[/tex]

cross section area [tex]= 150\times 50 mm^2[/tex]

                               [tex]= 7500\times 10^{-6} m^2[/tex]

                               [tex]= 7.5\times 10^{-3} m^2[/tex]

let the density be assumed as \rho

mass of 1.2 meter log steel will be [tex]= 1.2  \times (7.5\times 10^{-3} -  0.142\times 0.048)\times \rho[/tex]

                                                       [tex] = 1.843\times 10^{-3} \rho[/tex]

                                                       

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