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, 65 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.
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, 65 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.
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,
65 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.
• bf
y
1
O
+
b₁
tw
S
tw
X
Transcribed Image Text:C200 x 27.9 properties
Area Depth, d Flange
(mm²) (mm)
3550 203
Width, br (mm)
64.3
W200 x 35.9 properties
Area
(mm²) (mm)
4570 201
Width, br (mm)
165
Depth, d Flange
Web
lx
Thickness, tr (mm)
9.91
Thickness, tr(mm) (x106 mm)
12.4
18.3
Web
lx
Thickness, tr(mm) Thickness, tr(mm) (x106 mm²)
6.22
10.2
34.4
ly
(x106 mm²)
0.820
ly
(x105 mm²)
7.62
S
(mm)
14.4
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