A cantilever beam is used to support a concentrated end load of 20 kN. The beam is fabricated by bolting two C457 x 86 steel channels back to back to form the H-section shown. If the pairs of bolts are spaced at 300 mm intervals along the beams length, determine the bolt diameter required if the shear stress in the bolt is not to exceed 60MPa. Beam cross section showing orientation of end load ☑ 20 kN Dimensions and Section Properties of C457 x 86 steel channels Axis Section Flange Web Axis Y-Y X-X centroid Area (mm²) (mm) X 11030 457.2 Depth Width Thickness Thickness (mm) (mm) 106.7 15.9 I I (mm) Xc (mm) (mm) 281 x 17.8 106 7.41 x 106 21.9 Y Xc

Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter5: Beams
Section: Chapter Questions
Problem 5.6.3P
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Answer should be 24.6mm, but the work to find it is not given. Could you help please, thank you!

A cantilever beam is used to support a concentrated end load of 20 kN. The beam is fabricated by bolting
two C457 x 86 steel channels back to back to form the H-section shown. If the pairs of bolts are spaced at
300 mm intervals along the beams length, determine the bolt diameter required if the shear stress in the bolt
is not to exceed 60MPa.
Beam cross section
showing orientation
of end load
☑
20 kN
Dimensions and Section Properties of C457 x 86 steel channels
Axis
Section
Flange
Web
Axis Y-Y
X-X
centroid
Area
(mm²) (mm)
X
11030 457.2
Depth Width Thickness Thickness
(mm) (mm)
106.7 15.9
I
I (mm)
Xc
(mm)
(mm)
281 x
17.8
106
7.41 x
106
21.9
Y
Xc
Transcribed Image Text:A cantilever beam is used to support a concentrated end load of 20 kN. The beam is fabricated by bolting two C457 x 86 steel channels back to back to form the H-section shown. If the pairs of bolts are spaced at 300 mm intervals along the beams length, determine the bolt diameter required if the shear stress in the bolt is not to exceed 60MPa. Beam cross section showing orientation of end load ☑ 20 kN Dimensions and Section Properties of C457 x 86 steel channels Axis Section Flange Web Axis Y-Y X-X centroid Area (mm²) (mm) X 11030 457.2 Depth Width Thickness Thickness (mm) (mm) 106.7 15.9 I I (mm) Xc (mm) (mm) 281 x 17.8 106 7.41 x 106 21.9 Y Xc
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