The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for the channel shape cross-section is σy = 407 MPa, whereas that used or the rectangular cross-section is 0.90 y. Compute the thickness of the web, t, of the channel shape section if the two cross sections have identical plastic bending moment about the z-axis. n Figure 4, h= 80 mm, b=42 mm, a=11 mm, H=80 mm, d= 42 mm

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.9.9P: A U-shaped cross section of constant thickness is shown in the figure. Derive the following formula...
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The numerical value of ? can be calculated as 

mm

The channel shape cross-section and the rectangular cross-section shown in the Figure
Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the
material used for the channel shape cross-section is oy= 407 MPa, whereas that used
for the rectangular cross-section is 0.90 y.
Compute the thickness of the web, t, of the channel shape section if the two cross
sections have identical plastic bending moment about the z-axis.
In Figure 4, h= 80 mm, b=42 mm, a=11 mm, H=80 mm, d= 42 mm
N
Hif
b
h
a
+
ta
a
Z
d
H
Transcribed Image Text:The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for the channel shape cross-section is oy= 407 MPa, whereas that used for the rectangular cross-section is 0.90 y. Compute the thickness of the web, t, of the channel shape section if the two cross sections have identical plastic bending moment about the z-axis. In Figure 4, h= 80 mm, b=42 mm, a=11 mm, H=80 mm, d= 42 mm N Hif b h a + ta a Z d H
The numerical value of t can be calculated as
mm
Transcribed Image Text:The numerical value of t can be calculated as mm
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