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 = 473 MPa, whereas that used for the rectangular cross- section is 0.850y. 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= 77 mm, b=46 mm, a=11 mm, H=77 mm, d= 46 mm N b h a + N a | d H 1. The numerical value of plastic section modulus of the solid rectangular section is mm³ 2. The numerical value of plastic moment of the solid rectangular section is N.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 6.3.18P: A wood beam reinforced by an aluminum channel section is shown in the figure. The beam has a cross...
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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 = 473 MPa, whereas that used for the rectangular cross-
section is 0.850y.
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= 77 mm, b=46 mm, a=11 mm, H=77 mm, d= 46 mm
N
b
h
a
+
N
a |
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 = 473 MPa, whereas that used for the rectangular cross- section is 0.850y. 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= 77 mm, b=46 mm, a=11 mm, H=77 mm, d= 46 mm N b h a + N a | d H
1. The numerical value of plastic section modulus of the solid rectangular section is
mm³
2. The numerical value of plastic moment of the solid rectangular section is
N.mm
Transcribed Image Text:1. The numerical value of plastic section modulus of the solid rectangular section is mm³ 2. The numerical value of plastic moment of the solid rectangular section is N.mm
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