Problem I. 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, 104 kN a) Compute for the moment of Inertia of the cross section b) Determine the maximum bending stress in the beam. c) Calculate the spacing of bolts (pitch) if the allowable shearing stress for a bolt is 100 MPa. y tw tw C b;
Problem I. 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, 104 kN a) Compute for the moment of Inertia of the cross section b) Determine the maximum bending stress in the beam. c) Calculate the spacing of bolts (pitch) if the allowable shearing stress for a bolt is 100 MPa. y tw tw C b;
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem I. 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,
104 kN
a) Compute for the moment of Inertia of the cross section
b) Determine the maximum bending stress in the beam.
c) Calculate the spacing of bolts (pitch) if the allowable shearing stress for a bolt is 100 MPa.
y
tw
tw
d
C
tf
bị
Transcribed Image Text:C200 x 27.9 properties
Depth, d Flange
Width, br (mm)
Area
Web
Ix
ly
S
(mm2) (mm)
203
Thickness, tr (mm) Thickness, tr (mm) (x106 mm4) (x106 mm*)
(mm)
3550
64.3
9.91
12.4
18.3
0.820
14.4
W200 x 35.9 properties
Depth, d Flange
Area
Web
Ix
ly
(mm?) (mm)
201
Thickness, tr (mm) (x106 mm*) | (x10° mm4)
34.4
Width, br (mm)
Thickness, tr (mm)
10.2
4570
165
6.22
7.62
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