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If the wide-flange beam is subjected to a shear of [tex]v = 30 \, \text{kN}[/tex], determine the shear force resisted by the web of the beam.

Set [tex]w = 200 \, \text{mm}[/tex].

Answer :

To determine the shear force resisted by the web of the wide-flange beam, we need to use the formula:

We don't know the thickness of the web, but we can assume that it is equal to the flange thickness since wide- flange beams are designed to have equal flange and web thicknesses. Let's say the flange thickness is = 20 mm.

Then, the area of the web is: area = 200 mm x 20 mm = 4000 mm

Now we can find the shear stress:shear stress = 30 kN /4000 mm² = 0.0075 N / mm²

Finally, we can plug in the values to the first equation:

V = (0.5)(200 mm)(20 mm)(0.0075 N / mm ) = 15 kN

Therefore, the shear force resisted by the web of the wide-flange beam is 15 kN.

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