a) Compute for the moment of Inertia of the cross section b) Determine the maximum bending stress in the beam.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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P= 77 kN
tw
tw
IS.
C200 x 27.9 properties
Depth, d
(mm) (mm)
203
Area
Flange
Width, br (mm)
Web
Ix
(x10 mm*)
ly
(x10° mm*)
Thickness, tr (mm)
Thickness, tr (mm)
(mm)
3550
64.3
9.91
12.4
18.3
0.820
14.4
W200 x 35.9 properties
Depth, d Flange
ly
(x106 mm*)
Area
Web
(mm?) (mm)
Width, br (mm)
165
Thickness, tr (mm)
10.2
Thickness, tr (mm)
6.22
(x10 mm*)
4570
201
34.4
7.62
Transcribed Image Text:tw tw IS. C200 x 27.9 properties Depth, d (mm) (mm) 203 Area Flange Width, br (mm) Web Ix (x10 mm*) ly (x10° mm*) Thickness, tr (mm) Thickness, tr (mm) (mm) 3550 64.3 9.91 12.4 18.3 0.820 14.4 W200 x 35.9 properties Depth, d Flange ly (x106 mm*) Area Web (mm?) (mm) Width, br (mm) 165 Thickness, tr (mm) 10.2 Thickness, tr (mm) 6.22 (x10 mm*) 4570 201 34.4 7.62
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 leaded with a uniformly
distributed load of intensity 20 kN/m throughout its span and a concentrated load, P (fefer to the given table), at the
midspan. If the diameter of the bolts is 22 mm,
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.
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 leaded with a uniformly distributed load of intensity 20 kN/m throughout its span and a concentrated load, P (fefer to the given table), at the midspan. If the diameter of the bolts is 22 mm, 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.
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