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=408 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= 88 mm, b=60 mm, a=11 mm, H=88 mm, d= 60 mm Z h Z 619 b d H

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter10: Statically Indeterminate Beams
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Question 4
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= 408 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= 88 mm, b=60 mm, a=11 mm, H=88 mm, d= 60 mm
N
b
h
18
H
d
a
Transcribed Image Text:Question 4 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= 408 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= 88 mm, b=60 mm, a=11 mm, H=88 mm, d= 60 mm N b h 18 H d a
Part a)
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:Part a) 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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