steel beam cross section is assembled as shown by bolting the channel, C200 x 27.9, through its web on the wide flange, W200 x 35.9. The beam is 4 m in span and is simply supported loaded with a uniformly distributed load of intensity 20 kN/m throughout its span and a concentrated load, P (refer to the given table), at the midspan. If the diameter of the bolts is 22 mm, Compute for the moment of Inertia of the cross section Determine the maximum bending stress in the beam. Calculate the spacing of bolts (pitch) if the allowable shearing stress for a bolt is 100 MPa.

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Chapter5: Beams
Section: Chapter Questions
Problem 5.13.2P
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A steel beam cross section is assembled as shown by bolting the channel, C200 x 27.9, through its web
on the wide flange, W200 x 35.9. The beam is 4 m in span and is simply supported loaded with a uniformly
distributed load of intensity 20 kN/m throughout its span and a concentrated load, P (refer to the given table), at the
midspan. If the diameter of the bolts is 22 mm,
Compute for the moment of Inertia of the cross section
Determine the maximum bending stress in the beam.
Calculate the spacing of bolts (pitch) if the allowable shearing stress for a bolt is 100 MPa.
d
С200 х 27.9pгорerties
Depth, d Flange
Area
(mm?) (mm)
Web
ly
(x10 mm)
Width, b (mm)
Thickness, t (mm)
Thickness, t (mm)
(x10 mm)
(mm)
3550
203
64.3
9.91
12.4
18.3
0.820
14.4
W200 x 35.9 properties
Depth, d Flange
Width, br (mm)
Area
Web
ly
(x10° mm*) (x10° mmt)
Ix
(mm?) (mm)
Thickness, tr (mm)
10.2
Thickness, t (mm)
4570
201
165
6.22
34.4
7.62
Transcribed Image Text:A steel beam cross section is assembled as shown by bolting the channel, C200 x 27.9, through its web on the wide flange, W200 x 35.9. The beam is 4 m in span and is simply supported loaded with a uniformly distributed load of intensity 20 kN/m throughout its span and a concentrated load, P (refer to the given table), at the midspan. If the diameter of the bolts is 22 mm, Compute for the moment of Inertia of the cross section Determine the maximum bending stress in the beam. Calculate the spacing of bolts (pitch) if the allowable shearing stress for a bolt is 100 MPa. d С200 х 27.9pгорerties Depth, d Flange Area (mm?) (mm) Web ly (x10 mm) Width, b (mm) Thickness, t (mm) Thickness, t (mm) (x10 mm) (mm) 3550 203 64.3 9.91 12.4 18.3 0.820 14.4 W200 x 35.9 properties Depth, d Flange Width, br (mm) Area Web ly (x10° mm*) (x10° mmt) Ix (mm?) (mm) Thickness, tr (mm) 10.2 Thickness, t (mm) 4570 201 165 6.22 34.4 7.62
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