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mynameiscool
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Homework Statement
a structural I-beam is made of steel. a view of its cross section and its dimensions are shown in the figure below. as seen in the figure, L=13.2cm, H=37.4cm, W=1.41cm. what is the mass of a section 1.25m long? the density of steel is 7.56x10^3kg/m^3
i attached a picture of the beam
Homework Equations
volume=LxHxW
m=dv
The Attempt at a Solution
1. i converted values to meters:
L=0.132m
H=0.374m
W=0.0141m
2.find the volume for the top and bottom rectangles ( they are both same measurements)
so... v=lxhxw
v=0.132mx0.0141mx1.25m
=2.3265x10^-3 m^3
since top and bottom rectangles are same so add
2.3265x10^-3 m^3+2.3265x10^-3 m^3= 4.653x10^-3 m^3
then found volume for middle rectangle
but first found its height 37.4-0.0141-0.0141=37.3718
v=lxwxh
37.3718mx0.0141mx1.25m=0.65m^3
3. m=dv so..
first add volumes= 4.653x10^-3m^3+0.65m^3=0.654
then 0.654m^3x7.56x10^3kg/m^3
=4949kg
and my answer is wrong ! :( please help ASAP i can't figure it out
take a look at my long solution and help me :)